Details

analyze85.0ms (0.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

578×	`times-frac_binary64`
564×	`cancel-sign-sub-inv_binary64`
457×	`div-sub_binary64`
380×	`distribute-rgt-in_binary64`
359×	`distribute-lft-in_binary64`
313×	`distribute-rgt-neg-in_binary64`
274×	`distribute-neg-in_binary64`
214×	`associate-l_binary64`
203×	`associate-r_binary64`
158×	`distribute-neg-frac_binary64`
146×	`associate-*l/_binary64`
111×	`associate-*r/_binary64`
107×	`associate-/l*_binary64`
89×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
66×	`sub-neg_binary64`
64×	`*-rgt-identity_binary64`
63×	`neg-mul-1_binary64` `neg-sub0_binary64`
61×	`*-lft-identity_binary64`
59×	`unsub-neg_binary64`
56×	`distribute-lft-neg-in_binary64`
52×	`associate-+l+_binary64`
48×	`associate-/r*_binary64`
47×	`associate-+r+_binary64`
45×	`associate-/l/_binary64`
38×	`associate--r+_binary64`
32×	`sqr-pow_binary64` `*-commutative_binary64`
30×	`+-commutative_binary64`
20×	`unswap-sqr_binary64`
17×	`associate-/r/_binary64`
13×	`exp-prod_binary64` `pow-sqr_binary64`
9×	`distribute-frac-neg_binary64`
8×	`exp-sum_binary64`
7×	`associate--l+_binary64`
6×	`/-rgt-identity_binary64` `distribute-rgt-out_binary64`
5×	`associate-+l-_binary64`
4×	`cube-prod_binary64` `sub0-neg_binary64`
3×	`exp-diff_binary64`
2×	`cube-unmult_binary64` `cube-div_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
1×	`unpow3_binary64` `pow-plus_binary64` `exp-neg_binary64` `1-exp_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `distribute-rgt-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	79
2	252	79
3	750	79
4	2536	79
5	4602	79
6	5204	79
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 65 to 53 computations (18.5% saved)

sample44.0ms (0.1%)

Algorithm

1×

intervals

Results

35.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

578×	`times-frac_binary64`
564×	`cancel-sign-sub-inv_binary64`
457×	`div-sub_binary64`
380×	`distribute-rgt-in_binary64`
359×	`distribute-lft-in_binary64`
313×	`distribute-rgt-neg-in_binary64`
274×	`distribute-neg-in_binary64`
214×	`associate-l_binary64`
203×	`associate-r_binary64`
158×	`distribute-neg-frac_binary64`
146×	`associate-*l/_binary64`
111×	`associate-*r/_binary64`
107×	`associate-/l*_binary64`
89×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
66×	`sub-neg_binary64`
64×	`*-rgt-identity_binary64`
63×	`neg-mul-1_binary64` `neg-sub0_binary64`
61×	`*-lft-identity_binary64`
59×	`unsub-neg_binary64`
56×	`distribute-lft-neg-in_binary64`
52×	`associate-+l+_binary64`
48×	`associate-/r*_binary64`
47×	`associate-+r+_binary64`
45×	`associate-/l/_binary64`
38×	`associate--r+_binary64`
32×	`sqr-pow_binary64` `*-commutative_binary64`
30×	`+-commutative_binary64`
20×	`unswap-sqr_binary64`
17×	`associate-/r/_binary64`
13×	`exp-prod_binary64` `pow-sqr_binary64`
9×	`distribute-frac-neg_binary64`
8×	`exp-sum_binary64`
7×	`associate--l+_binary64`
6×	`/-rgt-identity_binary64` `distribute-rgt-out_binary64`
5×	`associate-+l-_binary64`
4×	`cube-prod_binary64` `sub0-neg_binary64`
3×	`exp-diff_binary64`
2×	`cube-unmult_binary64` `cube-div_binary64` `+-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
1×	`unpow3_binary64` `pow-plus_binary64` `exp-neg_binary64` `1-exp_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `distribute-rgt-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	79
2	252	79
3	750	79
4	2536	79
5	4602	79
6	5204	79

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

14.3b

Counts

2 → 1

Compiler

Compiled 102 to 82 computations (19.6% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.2b	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.5b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
14.2b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))

rewrite478.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

14.2b

Rules

38×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
10×	`cancel-sign-sub-inv_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/l*_binary64`
6×	`distribute-lft-out_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow1_binary64`
3×	`div-inv_binary64`
2×	`difference-of-squares_binary64` `associate-*l/_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

44.0ms	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
34.0ms	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
32.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
5.0ms	(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 7260 to 5426 computations (25.3% saved)

series2.7s (7.3%)

Error

14.2b

Counts

4 → 15

Calls

4 calls:

2.3s	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
79.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
75.0ms	(/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
16.0ms	(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 16615 to 12790 computations (23% saved)

simplify366.0ms (1%)

Algorithm

1×	egg-herbie

Rules

754×	`associate-*l/_binary64`
301×	`+-commutative_binary64`
271×	`associate-+r+_binary64`
258×	`*-commutative_binary64`
203×	`associate-*r/_binary64`
182×	`associate-/r*_binary64`
147×	`associate-/l/_binary64` `associate-/l*_binary64`
141×	`times-frac_binary64`
136×	`associate-/r/_binary64`
119×	`distribute-rgt-in_binary64`
105×	`distribute-lft-in_binary64`
65×	`sub-neg_binary64`
55×	`sqr-pow_binary64`
54×	`unswap-sqr_binary64`
49×	`cancel-sign-sub-inv_binary64`
39×	`neg-mul-1_binary64`
37×	`neg-sub0_binary64`
27×	`distribute-rgt-neg-in_binary64`
25×	`distribute-neg-in_binary64`
20×	`distribute-neg-frac_binary64`
17×	`distribute-lft-neg-out_binary64`
16×	`distribute-lft-neg-in_binary64`
10×	`unpow3_binary64`
9×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64` `associate--l+_binary64` `associate--r+_binary64`
8×	`cube-mult_binary64` `cube-prod_binary64`
7×	`cube-div_binary64` `*-lft-identity_binary64`
6×	`div-sub_binary64`
5×	`cube-unmult_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `associate-l*_binary64`
4×	`unpow2_binary64` `distribute-rgt-out--_binary64`
3×	`log-div_binary64` `unpow1_binary64` `exp-prod_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
2×	`distribute-rgt1-in_binary64`
1×	`div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `distribute-lft-out--_binary64` `associate-r_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

115 → 87

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1091	17474
1	3590	15146
2	5907	15146

prune407.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Error

14.2b

Counts

88 → 6

Compiler

Compiled 10300 to 7737 computations (24.9% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
0.5b	(cbrt.f64 (pow.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 3))
0.8b	(pow.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 3)
14.2b	(-.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 3)) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))

rewrite574.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

14.2b

Rules

32×	`*-un-lft-identity_binary64`
28×	`cbrt-prod_binary64`
23×	`cancel-sign-sub-inv_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
8×	`add-log-exp_binary64`
7×	`distribute-lft-out_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `cube-div_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `pow-unpow_binary64`
2×	`difference-of-squares_binary64` `associate-*l/_binary64` `associate-/r/_binary64` `cbrt-div_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `div-inv_binary64` `distribute-lft-out--_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `pow1/3_binary64` `rem-cbrt-cube_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

42.0ms	(-.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 3)) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
42.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
37.0ms	(pow.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 3)
31.0ms	(cbrt.f64 (pow.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 3))

Compiler

Compiled 7754 to 5930 computations (23.5% saved)

series2.8s (7.6%)

Error

14.2b

Counts

4 → 15

Calls

4 calls:

2.3s	(-.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 3)) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
144.0ms	(pow.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 3)
82.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
80.0ms	(cbrt.f64 (pow.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) 3))

Compiler

Compiled 16937 to 13090 computations (22.7% saved)

simplify413.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

749×	`associate-*l/_binary64`
299×	`+-commutative_binary64`
272×	`associate-+r+_binary64`
264×	`*-commutative_binary64`
204×	`associate-*r/_binary64`
174×	`associate-/r*_binary64`
140×	`associate-/l*_binary64`
138×	`times-frac_binary64`
125×	`associate-/r/_binary64`
122×	`associate-/l/_binary64`
88×	`distribute-rgt-in_binary64`
81×	`sqr-pow_binary64`
80×	`distribute-lft-in_binary64`
66×	`unswap-sqr_binary64`
55×	`sub-neg_binary64`
49×	`neg-mul-1_binary64`
47×	`neg-sub0_binary64` `cancel-sign-sub-inv_binary64`
33×	`distribute-rgt-neg-in_binary64`
29×	`distribute-lft-neg-out_binary64`
25×	`distribute-neg-frac_binary64`
19×	`distribute-neg-in_binary64`
18×	`unpow3_binary64` `cube-mult_binary64` `distribute-lft-neg-in_binary64`
13×	`distribute-rgt-neg-out_binary64`
11×	`cube-prod_binary64` `swap-sqr_binary64`
10×	`exp-prod_binary64`
8×	`rem-cbrt-cube_binary64` `associate--l+_binary64` `associate--r+_binary64`
7×	`log-prod_binary64` `*-lft-identity_binary64` `pow-sqr_binary64`
5×	`unpow2_binary64` `unpow1_binary64` `cube-unmult_binary64` `*-rgt-identity_binary64`
4×	`cube-div_binary64`
3×	`log-pow_binary64` `exp-sum_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate-l_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
1×	`unpow1/2_binary64` `pow-plus_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `distribute-lft-out--_binary64` `associate-r_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

116 → 92

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1070	21460
1	3539	17295
2	5853	17295

prune287.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	92	6	98

Error

14.2b

Counts

98 → 6

Compiler

Compiled 8891 to 6700 computations (24.6% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.5b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
14.2b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
14.2b	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))))

rewrite523.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

14.2b

Rules

30×	`*-un-lft-identity_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`cancel-sign-sub-inv_binary64`
18×	`add-cube-cbrt_binary64`
17×	`times-frac_binary64`
14×	`log-prod_binary64`
11×	`exp-sum_binary64`
8×	`add-log-exp_binary64`
7×	`log-pow_binary64`
6×	`exp-prod_binary64` `associate-/r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`difference-of-squares_binary64` `flip3-+_binary64` `associate-*l/_binary64` `flip-+_binary64`
3×	`distribute-lft-out_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`distribute-lft-out--_binary64` `sub-neg_binary64`
1×	`exp-diff_binary64` `log-div_binary64` `rem-log-exp_binary64` `diff-log_binary64` `flip3--_binary64` `flip--_binary64` `sum-log_binary64` `+-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 95

Calls

4 calls:

45.0ms	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
41.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))))
33.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
5.0ms	(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 7353 to 5509 computations (25.1% saved)

series12.6s (34.4%)

Error

14.2b

Counts

4 → 18

Calls

4 calls:

9.8s	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))))
2.3s	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (*.f64 x x)))))
80.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
17.0ms	(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

Compiler

Compiled 31183 to 23926 computations (23.3% saved)

simplify621.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

539×	`+-commutative_binary64`
512×	`associate-+r+_binary64`
251×	`*-commutative_binary64`
194×	`associate-*r/_binary64`
178×	`associate-/r*_binary64`
143×	`associate-/l*_binary64`
139×	`times-frac_binary64`
65×	`sqr-pow_binary64`
64×	`sub-neg_binary64`
54×	`unswap-sqr_binary64`
49×	`cancel-sign-sub-inv_binary64`
38×	`neg-mul-1_binary64`
36×	`log-prod_binary64` `neg-sub0_binary64`
30×	`exp-prod_binary64` `distribute-neg-in_binary64`
29×	`log-pow_binary64`
22×	`exp-sum_binary64`
20×	`log-div_binary64`
18×	`rem-log-exp_binary64`
17×	`distribute-neg-frac_binary64`
14×	`log-rec_binary64`
12×	`exp-diff_binary64`
10×	`unpow3_binary64` `associate--l+_binary64` `associate--r+_binary64`
9×	`exp-neg_binary64` `cube-mult_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
8×	`cube-prod_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
7×	`*-lft-identity_binary64`
5×	`cube-unmult_binary64` `cube-div_binary64` `-rgt-identity_binary64` `associate-l*_binary64`
4×	`unpow2_binary64`
3×	`unpow1_binary64` `div-sub_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
2×	`exp-to-pow_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
1×	`div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out_binary64` `associate-r_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

113 → 70

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1327	27641
1	4334	23153
2	4885	23153
3	4870	23153

prune394.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	71	5	76

Error

14.2b

Counts

76 → 5

Compiler

Compiled 13732 to 10312 computations (24.9% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x))))
14.2b	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))))
14.2b	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))))))
15.9b	(.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))

rewrite788.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

14.2b

Rules

37×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
22×	`cancel-sign-sub-inv_binary64`
15×	`associate-l_binary64`
14×	`log-prod_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-sum_binary64`
8×	`associate-/r/_binary64`
7×	`pow1_binary64` `log-pow_binary64`
6×	`add-log-exp_binary64` `exp-prod_binary64`
5×	`associate-*l/_binary64`
4×	`sub-neg_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `difference-of-squares_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-r_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64` `exp-diff_binary64` `log-div_binary64` `rem-log-exp_binary64` `diff-log_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 125

Calls

4 calls:

44.0ms	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))))))
38.0ms	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))))
11.0ms	(.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
6.0ms	(/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x))))

Compiler

Compiled 10320 to 7523 computations (27.1% saved)

series8.6s (23.5%)

Error

14.2b

Counts

4 → 22

Calls

4 calls:

6.3s	(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))))))
2.0s	(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 (.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) -6544414927309881/4503599627370496) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (exp.f64 (.f64 x x)))))
25.0ms	(.f64 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x)))) (-.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
19.0ms	(/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 -2176625624901896097756115991881/20282409603651670423947251286016 (.f64 x x))))

Compiler

Compiled 26444 to 20287 computations (23.3% saved)

simplify655.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

842×	`times-frac_binary64`
450×	`+-commutative_binary64`
418×	`associate-+r+_binary64`
241×	`*-commutative_binary64`
156×	`associate-*r/_binary64`
144×	`associate-/r*_binary64`
114×	`associate-/l*_binary64`
42×	`neg-mul-1_binary64`
34×	`exp-prod_binary64`
29×	`sqr-pow_binary64`
28×	`log-pow_binary64`
26×	`log-prod_binary64`
22×	`sub-neg_binary64`
21×	`exp-sum_binary64`
20×	`log-div_binary64` `associate-*l/_binary64`
18×	`rem-log-exp_binary64`
14×	`cube-prod_binary64`
13×	`log-rec_binary64`
12×	`exp-diff_binary64` `associate-r_binary64`
11×	`neg-sub0_binary64` `associate-l_binary64`
10×	`unpow3_binary64` `cube-mult_binary64` `associate--l+_binary64` `associate--r+_binary64`
9×	`exp-neg_binary64` `distribute-lft-neg-out_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
7×	`cube-unmult_binary64` `cancel-sign-sub-inv_binary64`
6×	`distribute-neg-frac_binary64`
4×	`unpow2_binary64` `div-sub_binary64` `*-lft-identity_binary64`
3×	`unpow1_binary64` `cube-div_binary64` `swap-sqr_binary64`
2×	`exp-to-pow_binary64` `/-rgt-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
1×	`div-exp_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l+_binary64`

Counts

147 → 134

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1197	25511
1	3771	22699
2	4894	22699
3	4896	22699

prune565.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	3	3
Picked	0	1	1
Done	1	0	1
Total	134	5	139

Error

14.2b

Counts

139 → 5

Compiler

Compiled 17460 to 12982 computations (25.6% saved)

regimes2.0s (5.5%)

Accuracy

Total 0.1b remaining (0.4%)

Threshold costs 0.1b (0.4%)

Compiler

Compiled 41368 to 32183 computations (22.2% saved)

bsearch0.0ms (0%)

simplify14.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
5×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	262
1	43	262
2	49	262
3	53	262
4	56	262
5	57	262
6	56	262

end4.0ms (0%)

Compiler: Compiled 167 to 129 computations (22.8% saved)

sample1.6s (4.3%)

Algorithm

1×

intervals

Results

951.0ms

8000×

body

128

valid

Compiler

Compiled 701 to 548 computations (21.8% saved)

Details

analyze85.0ms (0.2%)

sample44.0ms (0.1%)

simplify72.0ms (0.2%)

prune5.0ms (0%)

localize25.0ms (0.1%)

rewrite478.0ms (1.3%)

series2.7s (7.3%)

simplify366.0ms (1%)

prune407.0ms (1.1%)

localize28.0ms (0.1%)

rewrite574.0ms (1.6%)

series2.8s (7.6%)

simplify413.0ms (1.1%)

prune287.0ms (0.8%)

localize29.0ms (0.1%)

rewrite523.0ms (1.4%)

series12.6s (34.4%)

simplify621.0ms (1.7%)

prune394.0ms (1.1%)

localize30.0ms (0.1%)

rewrite788.0ms (2.1%)

series8.6s (23.5%)

simplify655.0ms (1.8%)

prune565.0ms (1.5%)

regimes2.0s (5.5%)

bsearch0.0ms (0%)

simplify14.0ms (0%)

end4.0ms (0%)

sample1.6s (4.3%)

Profiling