Details

analyze861.0ms (7.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

768×	`times-frac_binary64`
532×	`div-sub_binary64`
475×	`distribute-rgt-in_binary64`
322×	`distribute-neg-in_binary64`
318×	`cancel-sign-sub-inv_binary64`
294×	`distribute-rgt-neg-in_binary64`
276×	`associate-/l*_binary64`
260×	`distribute-neg-frac_binary64`
236×	`associate-l_binary64`
222×	`associate-r_binary64`
219×	`distribute-lft-in_binary64`
208×	`*-commutative_binary64`
190×	`associate-/r*_binary64`
183×	`distribute-lft-neg-in_binary64`
182×	`sub-neg_binary64`
132×	`associate-+r+_binary64`
128×	`associate-+l+_binary64`
107×	`+-commutative_binary64`
94×	`neg-mul-1_binary64`
92×	`distribute-rgt-out_binary64`
82×	`neg-sub0_binary64`
75×	`distribute-lft-neg-out_binary64`
69×	`associate-*r/_binary64`
61×	`associate-*l/_binary64`
59×	`associate-/r/_binary64`
43×	`-rgt-identity_binary64` `-lft-identity_binary64`
40×	`distribute-rgt-out--_binary64`
34×	`unsub-neg_binary64`
32×	`associate--r+_binary64`
30×	`associate-+l-_binary64`
24×	`distribute-lft-out_binary64`
22×	`sub0-neg_binary64`
20×	`associate-+r-_binary64`
17×	`associate-/l/_binary64`
16×	`+-rgt-identity_binary64`
15×	`/-rgt-identity_binary64`
12×	`distribute-rgt-neg-out_binary64` `associate--l+_binary64`
10×	`--rgt-identity_binary64`
4×	`remove-double-neg_binary64` `+-lft-identity_binary64` `distribute-rgt1-in_binary64`
3×	`mul0-rgt_binary64` `mul0-lft_binary64`
1×	`1-exp_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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_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` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	164
1	132	164
2	312	164
3	637	164
4	1194	164
5	2575	164
6	4540	164
7	4990	164
8	5644	164
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	74.9%	25.1%	8
0%	74.9%	25.1%	9
9.4%	65.5%	25.1%	10
9.4%	53%	37.6%	11
14%	48.4%	37.6%	12
16.4%	46%	37.6%	13
16.4%	39.8%	43.8%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample58.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	38×	body	1024	valid
11.0ms	162×	body	128	valid
6.0ms	30×	body	512	valid
5.0ms	19×	body	1024	nan
3.0ms	24×	body	256	valid
2.0ms	36×	body	128	nan
2.0ms	12×	body	512	nan
1.0ms	11×	body	256	nan
1.0ms	2×	body	2048	valid

Compiler

Compiled 55 to 44 computations (20% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

706×	`div-sub_binary64`
508×	`distribute-neg-in_binary64`
500×	`distribute-rgt-in_binary64`
420×	`distribute-lft-in_binary64`
403×	`cancel-sign-sub-inv_binary64`
336×	`times-frac_binary64`
329×	`sub-neg_binary64`
327×	`distribute-neg-frac_binary64`
259×	`distribute-rgt-neg-in_binary64`
231×	`associate-/l*_binary64`
219×	`unsub-neg_binary64`
166×	`associate-/r*_binary64`
157×	`distribute-lft-neg-in_binary64`
136×	`neg-mul-1_binary64`
130×	`neg-sub0_binary64`
124×	`associate-l_binary64`
122×	`associate-r_binary64` `associate--r+_binary64`
103×	`associate-/r/_binary64`
98×	`*-rgt-identity_binary64`
96×	`associate-*l/_binary64`
90×	`associate--l+_binary64`
86×	`*-commutative_binary64`
81×	`associate-*r/_binary64`
69×	`distribute-rgt-out_binary64`
65×	`associate-+l+_binary64`
61×	`*-lft-identity_binary64`
59×	`associate-+r+_binary64`
55×	`distribute-rgt-out--_binary64`
47×	`associate--r-_binary64`
44×	`remove-double-neg_binary64` `distribute-lft-neg-out_binary64`
38×	`+-commutative_binary64`
35×	`associate-/l/_binary64`
30×	`sub0-neg_binary64`
24×	`/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
16×	`associate--l-_binary64` `associate-+l-_binary64`
14×	`--rgt-identity_binary64` `+-rgt-identity_binary64` `div0_binary64`
10×	`distribute-lft-out_binary64`
9×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
7×	`distribute-frac-neg_binary64` `associate-+r-_binary64`
3×	`remove-double-div_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64`
2×	`sqr-neg_binary64` `distribute-neg-out_binary64`
1×	`1-exp_binary64` `distribute-lft1-in_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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_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` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	46	41
2	95	41
3	184	41
4	355	41
5	714	41
6	1619	41
7	3620	41
8	4716	41
9	5192	41

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

43.8b

Counts

1 → 1

Compiler

Compiled 27 to 20 computations (25.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
0.4b	(*.f64 (sqrt.f64 2) t)
14.8b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
19.4b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

rewrite255.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

43.6b

Rules

17×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `times-frac_binary64` `associate-/r*_binary64`
4×	`sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `associate-r_binary64`
2×	`associate--l+_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `pow-prod-down_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64`

Counts

4 → 80

Calls

4 calls:

18.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
16.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
14.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
5.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 3282 to 1868 computations (43.1% saved)

series989.0ms (8.9%)

Error

6.6b

Counts

4 → 62

Calls

4 calls:

371.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
297.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
221.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
10.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 9705 to 8151 computations (16% saved)

simplify142.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

652×	`times-frac_binary64`
461×	`associate-/l*_binary64`
456×	`associate-/r*_binary64`
228×	`associate-*r/_binary64`
210×	`associate-*l/_binary64`
158×	`*-commutative_binary64`
106×	`+-commutative_binary64`
74×	`associate-+r+_binary64`
64×	`associate-/r/_binary64`
62×	`associate-/l/_binary64`
57×	`sub-neg_binary64`
50×	`associate-r_binary64`
45×	`cancel-sign-sub-inv_binary64`
41×	`distribute-rgt-in_binary64`
37×	`distribute-neg-in_binary64`
36×	`sqr-pow_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64`
34×	`unswap-sqr_binary64`
31×	`neg-sub0_binary64` `distribute-lft-neg-in_binary64`
27×	`neg-mul-1_binary64`
22×	`distribute-rgt-out_binary64`
13×	`associate-l_binary64`
12×	`associate--l+_binary64`
10×	`unpow3_binary64`
9×	`cube-mult_binary64` `associate--r+_binary64`
8×	`exp-prod_binary64`
7×	`mul-1-neg_binary64` `distribute-lft-out_binary64`
6×	`cube-prod_binary64` `swap-sqr_binary64`
5×	`log-div_binary64` `cube-unmult_binary64` `distribute-neg-frac_binary64`
4×	`log-prod_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `exp-sum_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `difference-of-squares_binary64`
2×	`rem-sqrt-square_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
1×	`div-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `*-rgt-identity_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` `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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `-lft-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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

142 → 105

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	502	8414
1	1449	7939
2	5109	7939

prune122.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Error

6.6b

Counts

106 → 6

Compiler

Compiled 4390 to 2867 computations (34.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.2b	(+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))
7.7b	(/.f64 (*.f64 l l) x)
8.3b	(/.f64 (*.f64 t t) x)
25.3b	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))))

rewrite136.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

3.7b

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `times-frac_binary64` `associate-/r*_binary64`
5×	`pow1_binary64`
4×	`sqrt-div_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `sqrt-prod_binary64`
2×	`associate-r/_binary64` `frac-add_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

11.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))))
6.0ms	(+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))
5.0ms	(/.f64 (*.f64 l l) x)
4.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 2679 to 1315 computations (50.9% saved)

series210.0ms (1.9%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

105.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))))
34.0ms	(+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))
22.0ms	(/.f64 (*.f64 l l) x)
20.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 2831 to 2346 computations (17.1% saved)

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

902×	`times-frac_binary64`
226×	`distribute-rgt-in_binary64`
201×	`cancel-sign-sub-inv_binary64`
194×	`distribute-lft-in_binary64`
153×	`associate-l_binary64`
143×	`distribute-rgt-neg-in_binary64`
140×	`associate-r_binary64`
131×	`distribute-lft-neg-in_binary64`
107×	`*-commutative_binary64`
105×	`associate-*l/_binary64`
101×	`associate-*r/_binary64`
93×	`distribute-neg-frac_binary64` `associate-/l*_binary64`
84×	`unswap-sqr_binary64`
72×	`sub-neg_binary64`
55×	`associate-/r*_binary64`
53×	`sqr-pow_binary64`
50×	`distribute-rgt-out_binary64`
48×	`neg-sub0_binary64` `associate-/l/_binary64`
44×	`neg-mul-1_binary64`
40×	`log-prod_binary64`
37×	`+-commutative_binary64`
34×	`exp-prod_binary64` `cube-div_binary64`
33×	`distribute-lft-out_binary64`
32×	`cube-prod_binary64`
31×	`unpow3_binary64`
30×	`distribute-neg-in_binary64` `associate-/r/_binary64`
24×	`distribute-lft-neg-out_binary64`
22×	`log-div_binary64`
21×	`distribute-rgt-out--_binary64`
16×	`associate-+l+_binary64`
15×	`associate--r+_binary64` `associate-+r+_binary64`
14×	`unsub-neg_binary64`
12×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
11×	`pow-plus_binary64` `*-rgt-identity_binary64` `swap-sqr_binary64`
8×	`distribute-lft-out--_binary64`
6×	`log-pow_binary64` `associate--l+_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64`
3×	`unpow1/2_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
2×	`log-rec_binary64` `exp-lft-sqr_binary64` `prod-exp_binary64` `div-sub_binary64` `*-lft-identity_binary64` `difference-of-squares_binary64` `count-2_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

109 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2503
1	562	2263
2	2070	2239
3	4921	2239
4	4975	2239

prune67.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	72	9	81

Error

0.3b

Counts

81 → 9

Compiler

Compiled 1908 to 1101 computations (42.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(+.f64 (.f64 2 (.f64 l (/.f64 l x))) (+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x))))
3.2b	(+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))
8.3b	(/.f64 (*.f64 t t) x)
25.3b	(sqrt.f64 (+.f64 (.f64 2 (.f64 l (/.f64 l x))) (+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))))

rewrite134.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

11×	`add-log-exp_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64` `associate-*r/_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
5×	`pow1_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `sqrt-div_binary64` `sum-log_binary64`
3×	`sqrt-prod_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `+-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `associate-+r+_binary64`

Counts

4 → 64

Calls

4 calls:

13.0ms	(+.f64 (.f64 2 (.f64 l (/.f64 l x))) (+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x))))
12.0ms	(sqrt.f64 (+.f64 (.f64 2 (.f64 l (/.f64 l x))) (+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))))
6.0ms	(+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))
4.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 2787 to 1358 computations (51.3% saved)

series278.0ms (2.5%)

Error

0.1b

Counts

4 → 51

Calls

4 calls:

103.0ms	(sqrt.f64 (+.f64 (.f64 2 (.f64 l (/.f64 l x))) (+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))))
88.0ms	(+.f64 (.f64 2 (.f64 l (/.f64 l x))) (+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x))))
35.0ms	(+.f64 (.f64 2 (.f64 t t)) (.f64 4 (/.f64 (.f64 t t) x)))
21.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 3186 to 2711 computations (14.9% saved)

simplify128.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

680×	`times-frac_binary64`
472×	`distribute-rgt-in_binary64`
234×	`cancel-sign-sub-inv_binary64`
172×	`associate-l_binary64`
162×	`associate-r_binary64`
157×	`distribute-rgt-neg-in_binary64`
145×	`distribute-lft-neg-in_binary64`
115×	`*-commutative_binary64`
89×	`unswap-sqr_binary64`
82×	`distribute-neg-frac_binary64`
77×	`associate-*r/_binary64`
76×	`associate-*l/_binary64`
71×	`distribute-lft-in_binary64`
63×	`sub-neg_binary64`
61×	`distribute-rgt-out_binary64`
60×	`associate-/l*_binary64`
59×	`sqr-pow_binary64`
49×	`exp-prod_binary64` `neg-sub0_binary64`
45×	`neg-mul-1_binary64`
44×	`associate-/r*_binary64`
40×	`distribute-lft-out_binary64`
38×	`cube-prod_binary64`
37×	`+-commutative_binary64`
33×	`unpow3_binary64`
30×	`distribute-neg-in_binary64`
28×	`cube-div_binary64`
24×	`distribute-lft-neg-out_binary64` `associate-/l/_binary64`
23×	`distribute-rgt-out--_binary64`
22×	`log-prod_binary64`
20×	`swap-sqr_binary64`
17×	`associate-+l+_binary64`
15×	`cube-mult_binary64` `associate-/r/_binary64` `associate--r+_binary64` `associate-+r+_binary64`
14×	`unsub-neg_binary64`
12×	`distribute-rgt-neg-out_binary64`
11×	`log-div_binary64`
10×	`pow-plus_binary64`
9×	`distribute-lft-out--_binary64`
8×	`*-rgt-identity_binary64`
7×	`prod-exp_binary64`
5×	`unpow1_binary64` `exp-lft-sqr_binary64` `pow-sqr_binary64` `associate--l+_binary64`
4×	`log-pow_binary64` `unpow2_binary64` `cube-unmult_binary64` `mul-1-neg_binary64`
3×	`unpow1/2_binary64` `exp-sum_binary64` `rem-sqrt-square_binary64` `associate-+r-_binary64`
2×	`/-rgt-identity_binary64` `difference-of-squares_binary64` `associate-+l-_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `*-lft-identity_binary64` `+-rgt-identity_binary64` `count-2_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

115 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3328
1	524	3079
2	2038	3049
3	4940	3049
4	4979	3049

prune75.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	90	9	99

Error

0.3b

Counts

99 → 9

Compiler

Compiled 2313 to 1289 computations (44.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.3b	(/.f64 (*.f64 t t) x)
13.2b	(/.f64 (.f64 l l) (.f64 x x))
14.3b	(/.f64 (.f64 t t) (.f64 x x))
25.3b	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))

rewrite160.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

33×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`associate-*r/_binary64`
16×	`frac-add_binary64`
10×	`sqrt-div_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
9×	`prod-exp_binary64` `cbrt-unprod_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `flip3-+_binary64` `flip-+_binary64` `*-un-lft-identity_binary64`
5×	`pow1_binary64` `times-frac_binary64` `associate-/r*_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-prod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 86

Calls

4 calls:

17.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
6.0ms	(/.f64 (.f64 l l) (.f64 x x))
6.0ms	(/.f64 (.f64 t t) (.f64 x x))
4.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 5731 to 1640 computations (71.4% saved)

series375.0ms (3.4%)

Error

0.1b

Counts

4 → 39

Calls

4 calls:

258.0ms	(sqrt.f64 (+.f64 (.f64 2 (/.f64 (.f64 l l) x)) (+.f64 (.f64 4 (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x)))) (.f64 2 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))))))
27.0ms	(/.f64 (.f64 l l) (.f64 x x))
26.0ms	(/.f64 (.f64 t t) (.f64 x x))
22.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 6010 to 4730 computations (21.3% saved)

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

417×	`associate-l_binary64`
401×	`associate-r_binary64`
374×	`times-frac_binary64`
237×	`distribute-rgt-in_binary64`
227×	`distribute-lft-in_binary64`
210×	`associate-/l*_binary64`
189×	`associate-/r*_binary64`
156×	`associate-*l/_binary64`
146×	`associate-*r/_binary64`
115×	`*-commutative_binary64`
55×	`+-commutative_binary64`
52×	`sub-neg_binary64`
51×	`cancel-sign-sub-inv_binary64`
46×	`associate-/l/_binary64`
39×	`distribute-rgt-neg-in_binary64`
37×	`sqr-pow_binary64`
32×	`associate-/r/_binary64`
31×	`neg-sub0_binary64`
30×	`unswap-sqr_binary64`
29×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
23×	`distribute-neg-in_binary64`
19×	`distribute-neg-frac_binary64`
18×	`distribute-rgt-out_binary64`
17×	`unpow3_binary64`
15×	`cube-mult_binary64` `cube-div_binary64` `associate-+r+_binary64`
10×	`log-div_binary64`
9×	`cube-prod_binary64` `swap-sqr_binary64`
8×	`log-prod_binary64` `distribute-lft-neg-out_binary64`
6×	`difference-of-squares_binary64` `distribute-lft-out_binary64`
5×	`distribute-rgt-out--_binary64` `associate--l+_binary64` `associate--r+_binary64`
4×	`pow-plus_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64` `associate-+r-_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `count-2_binary64`
2×	`exp-prod_binary64` `cube-unmult_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64`
1×	`1-exp_binary64` `*-rgt-identity_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `-lft-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

125 → 86

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	380	5430
1	1165	4972
2	5028	4972

prune69.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	5	6
Picked	0	1	1
Done	1	1	2
Total	86	9	95

Error

0.1b

Counts

95 → 9

Compiler

Compiled 3206 to 1348 computations (58% saved)

regimes4.1s (37%)

Accuracy

Total 8.2b remaining (93.2%)

Threshold costs 0b (0%)

Compiler

Compiled 60193 to 42930 computations (28.7% saved)

bsearch367.0ms (3.3%)

Steps

Iters	Range		Point
6	4.94027460984614e+51	2.2813587771356738e+52	2.2602667988872348e+52
7	2.161590598239768e-191	3.1695654518391794e-189	2.2011762947029213e-191
10	2.5114365425589863e-307	3.708545706259954e-291	3.624393123183712e-291
9	-2.6924526913812324e+71	-3.3570681482521217e+65	-2.5654698157360593e+71

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
9×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `cancel-sign-sub-inv_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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	217
1	77	217
2	86	217
3	91	217
4	93	217
5	91	217

end3.0ms (0%)

Compiler: Compiled 142 to 99 computations (30.3% saved)

sample2.2s (19.6%)

Algorithm

1×

intervals

Results

375.0ms	5273×	body	128	valid
319.0ms	1164×	body	1024	valid
211.0ms	765×	body	1024	nan
185.0ms	924×	body	512	valid
106.0ms	1477×	body	128	nan
90.0ms	473×	body	512	nan
80.0ms	576×	body	256	valid
37.0ms	285×	body	256	nan
22.0ms	63×	body	2048	valid

Compiler

Compiled 438 to 346 computations (21% saved)

Details

analyze861.0ms (7.8%)

sample58.0ms (0.5%)

simplify72.0ms (0.7%)

prune2.0ms (0%)

localize16.0ms (0.1%)

rewrite255.0ms (2.3%)

series989.0ms (8.9%)

simplify142.0ms (1.3%)

prune122.0ms (1.1%)

localize16.0ms (0.1%)

rewrite136.0ms (1.2%)

series210.0ms (1.9%)

simplify110.0ms (1%)

prune67.0ms (0.6%)

localize16.0ms (0.1%)

rewrite134.0ms (1.2%)

series278.0ms (2.5%)

simplify128.0ms (1.2%)

prune75.0ms (0.7%)

localize22.0ms (0.2%)

rewrite160.0ms (1.4%)

series375.0ms (3.4%)

simplify107.0ms (1%)

prune69.0ms (0.6%)

regimes4.1s (37%)

bsearch367.0ms (3.3%)

simplify9.0ms (0.1%)

end3.0ms (0%)

sample2.2s (19.6%)

Profiling