Details

analyze130.0ms (2%)

Algorithm

1×	search
2×	egg-herbie

Rules

1509×	`associate-/l*_binary64`
1334×	`associate-/r*_binary64`
744×	`distribute-lft-out_binary64`
549×	`unswap-sqr_binary64`
452×	`associate-*r/_binary64`
426×	`*-commutative_binary64`
383×	`distribute-rgt-out_binary64`
350×	`associate-/r/_binary64`
301×	`associate-+l+_binary64`
213×	`associate-*l/_binary64`
204×	`distribute-rgt-in_binary64`
179×	`associate-l_binary64`
167×	`*-lft-identity_binary64`
165×	`distribute-lft-in_binary64`
157×	`associate-r_binary64`
131×	`associate-/l/_binary64`
122×	`associate-+r+_binary64`
109×	`+-commutative_binary64`
94×	`*-rgt-identity_binary64`
77×	`sqr-pow_binary64`
47×	`fabs-mul_binary64`
31×	`pow-sqr_binary64`
21×	`pow-plus_binary64` `fabs-div_binary64`
20×	`swap-sqr_binary64`
14×	`cube-prod_binary64`
7×	`cube-unmult_binary64`
6×	`/-rgt-identity_binary64`
5×	`fabs-sqr_binary64`
4×	`unpow3_binary64`
3×	`unpow2_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64`
1×	`1-exp_binary64` `cube-mult_binary64` `fabs-fabs_binary64` `sqr-abs_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` `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-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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	77
1	73	62
2	218	45
3	773	41
4	1394	41
5	3040	41
6	3379	41
7	3543	39
8	2136	39
9	2622	39
10	2670	39
11	4941	39
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

Compiler

Compiled 70 to 33 computations (52.9% saved)

sample46.0ms (0.7%)

Algorithm

1×

intervals

Results

29.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 137 to 65 computations (52.6% saved)

simplify113.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1509×	`associate-/l*_binary64`
1334×	`associate-/r*_binary64`
744×	`distribute-lft-out_binary64`
549×	`unswap-sqr_binary64`
452×	`associate-*r/_binary64`
426×	`*-commutative_binary64`
383×	`distribute-rgt-out_binary64`
350×	`associate-/r/_binary64`
301×	`associate-+l+_binary64`
213×	`associate-*l/_binary64`
204×	`distribute-rgt-in_binary64`
179×	`associate-l_binary64`
167×	`*-lft-identity_binary64`
165×	`distribute-lft-in_binary64`
157×	`associate-r_binary64`
131×	`associate-/l/_binary64`
122×	`associate-+r+_binary64`
109×	`+-commutative_binary64`
94×	`*-rgt-identity_binary64`
77×	`sqr-pow_binary64`
47×	`fabs-mul_binary64`
31×	`pow-sqr_binary64`
21×	`pow-plus_binary64` `fabs-div_binary64`
20×	`swap-sqr_binary64`
14×	`cube-prod_binary64`
7×	`cube-unmult_binary64`
6×	`/-rgt-identity_binary64`
5×	`fabs-sqr_binary64`
4×	`unpow3_binary64`
3×	`unpow2_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64`
1×	`1-exp_binary64` `cube-mult_binary64` `fabs-fabs_binary64` `sqr-abs_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` `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-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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	77
1	73	62
2	218	45
3	773	41
4	1394	41
5	3040	41
6	3379	41
7	3543	39
8	2136	39
9	2622	39
10	2670	39
11	4941	39

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 117 to 75 computations (35.9% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
0.1b	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite481.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`add-exp-log_binary64`
76×	`prod-exp_binary64`
75×	`add-cbrt-cube_binary64`
48×	`associate-l_binary64`
46×	`add-sqr-sqrt_binary64`
44×	`cbrt-unprod_binary64`
40×	`times-frac_binary64`
36×	`pow1_binary64`
35×	`*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`
22×	`pow-prod-down_binary64`
15×	`div-exp_binary64` `associate-*l/_binary64`
14×	`sqrt-prod_binary64`
12×	`frac-add_binary64`
9×	`cbrt-undiv_binary64`
6×	`1-exp_binary64` `rec-exp_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-*r/_binary64`
5×	`associate-r_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`div-inv_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 169

Calls

4 calls:

44.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
36.0ms	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
15.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 13712 to 4683 computations (65.8% saved)

series120.0ms (1.8%)

Error

0.0b

Counts

4 → 9

Calls

4 calls:

64.0ms	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
28.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
22.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1029 to 596 computations (42.1% saved)

simplify251.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

611×	`associate-r_binary64`
501×	`associate-l_binary64`
379×	`unswap-sqr_binary64`
246×	`*-commutative_binary64`
214×	`distribute-rgt-in_binary64`
201×	`distribute-lft-in_binary64`
116×	`cube-prod_binary64`
111×	`log-prod_binary64`
95×	`associate-*l/_binary64`
84×	`exp-prod_binary64`
80×	`sub-neg_binary64`
75×	`+-commutative_binary64`
63×	`*-lft-identity_binary64`
62×	`*-rgt-identity_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
61×	`sqr-pow_binary64` `associate-/l*_binary64`
55×	`associate-*r/_binary64`
49×	`cancel-sign-sub-inv_binary64`
42×	`neg-mul-1_binary64`
40×	`neg-sub0_binary64`
33×	`distribute-rgt-neg-in_binary64`
30×	`swap-sqr_binary64`
27×	`distribute-lft-neg-in_binary64`
25×	`times-frac_binary64`
21×	`exp-sum_binary64` `associate-+l-_binary64`
15×	`unpow3_binary64`
14×	`cube-mult_binary64` `unsub-neg_binary64`
11×	`associate-+r-_binary64`
10×	`cube-unmult_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
9×	`associate--l+_binary64`
8×	`pow-sqr_binary64`
7×	`log-pow_binary64` `distribute-rgt-out_binary64`
6×	`log-div_binary64` `pow-plus_binary64` `/-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
5×	`distribute-neg-in_binary64`
4×	`associate-/r*_binary64`
3×	`rem-sqrt-square_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64`
2×	`log-rec_binary64` `cube-div_binary64` `div-sub_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `distribute-lft-out_binary64` `count-2_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` `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` `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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-/r/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

178 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	7533
1	961	5938
2	3848	5228
3	4982	5228
4	4910	5228

prune159.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	153	3	156

Error

Counts

156 → 3

Compiler

Compiled 6028 to 2960 computations (50.9% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
0.1b	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
0.1b	(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)))) (sqrt.f64 (/.f64 1 PI.f64)))
0.2b	(.f64 2/3 (.f64 x x))

rewrite234.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

52×	`add-sqr-sqrt_binary64`
39×	`associate-r_binary64`
23×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`
20×	`unpow-prod-down_binary64`
16×	`sqrt-prod_binary64`
15×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
12×	`associate-l_binary64`
11×	`pow1_binary64` `times-frac_binary64`
10×	`prod-exp_binary64`
8×	`fabs-mul_binary64`
6×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `*-commutative_binary64` `fabs-sqr_binary64` `sqr-pow_binary64`
3×	`sqrt-div_binary64`
2×	`flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-*l/_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
1×	`associate-*r/_binary64` `div-inv_binary64`

Counts

4 → 120

Calls

4 calls:

18.0ms	(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)))) (sqrt.f64 (/.f64 1 PI.f64)))
7.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
7.0ms	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
6.0ms	(.f64 2/3 (.f64 x x))

Compiler

Compiled 4561 to 3093 computations (32.2% saved)

series117.0ms (1.8%)

Error

Counts

4 → 15

Calls

4 calls:

64.0ms	(.f64 (+.f64 (.f64 1/21 (pow.f64 (fabs.f64 x) 7)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)))) (sqrt.f64 (/.f64 1 PI.f64)))
17.0ms	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
15.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
10.0ms	(.f64 2/3 (.f64 x x))

Compiler

Compiled 1074 to 855 computations (20.4% saved)

simplify188.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

336×	`cancel-sign-sub-inv_binary64`
242×	`associate--l+_binary64`
238×	`exp-prod_binary64`
205×	`associate-l_binary64`
191×	`distribute-rgt-neg-in_binary64`
184×	`associate-r_binary64`
171×	`distribute-lft-neg-in_binary64`
154×	`neg-mul-1_binary64`
143×	`sqr-pow_binary64`
138×	`*-commutative_binary64`
136×	`associate-+l+_binary64`
128×	`log-prod_binary64`
122×	`exp-sum_binary64`
119×	`associate-+r+_binary64`
115×	`unswap-sqr_binary64`
110×	`+-commutative_binary64`
106×	`distribute-neg-in_binary64`
104×	`sub-neg_binary64`
97×	`distribute-rgt-in_binary64`
93×	`distribute-lft-in_binary64`
90×	`distribute-rgt-out_binary64`
88×	`associate-/l*_binary64`
84×	`neg-sub0_binary64`
79×	`cube-prod_binary64`
78×	`distribute-lft-out_binary64`
55×	`unsub-neg_binary64`
52×	`unpow3_binary64`
46×	`associate-*r/_binary64`
44×	`swap-sqr_binary64`
38×	`times-frac_binary64` `associate-/l/_binary64`
37×	`associate-*l/_binary64` `associate--r+_binary64`
34×	`associate-/r*_binary64`
33×	`distribute-rgt-out--_binary64`
32×	`associate--l-_binary64`
30×	`log-pow_binary64`
28×	`*-rgt-identity_binary64`
26×	`distribute-lft-neg-out_binary64`
24×	`*-lft-identity_binary64` `pow-sqr_binary64`
21×	`fabs-mul_binary64` `distribute-lft-out--_binary64`
20×	`associate-/r/_binary64`
19×	`pow-plus_binary64` `cube-unmult_binary64`
18×	`rem-sqrt-square_binary64`
15×	`cube-mult_binary64`
10×	`fabs-sqr_binary64` `distribute-rgt-neg-out_binary64`
9×	`associate-+l-_binary64`
7×	`count-2_binary64` `associate-+r-_binary64`
6×	`+-rgt-identity_binary64`
3×	`unpow1/2_binary64` `exp-lft-sqr_binary64` `fabs-div_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `difference-of-squares_binary64` `associate--r-_binary64`
2×	`unpow1/3_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `fabs-fabs_binary64` `rem-square-sqrt_binary64` `div-sub_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` `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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

135 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	3885
1	551	3653
2	1696	2986
3	2668	2986
4	4556	2986
5	4911	2986
6	4947	2986

prune128.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	115	3	118

Error

Counts

118 → 3

Compiler

Compiled 3072 to 2187 computations (28.8% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/5 (pow.f64 x 5))
0.2b	(.f64 2/3 (.f64 x x))
0.3b	(/.f64 (+.f64 (.f64 1/21 (pow.f64 x 7)) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x)))))) (sqrt.f64 PI.f64))
1.0b	(sqrt.f64 PI.f64)

rewrite158.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`times-frac_binary64`
16×	`add-exp-log_binary64`
15×	`sqrt-prod_binary64`
13×	`add-cbrt-cube_binary64`
10×	`pow1_binary64`
8×	`associate-r_binary64`
6×	`associate-/r_binary64` `prod-exp_binary64` `associate-l*_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`associate-/l*_binary64` `pow-prod-down_binary64`
2×	`associate-/l/_binary64` `*-commutative_binary64` `sqr-pow_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 98

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (.f64 1/21 (pow.f64 x 7)) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x)))))) (sqrt.f64 PI.f64))
6.0ms	(.f64 2/3 (.f64 x x))
6.0ms	(*.f64 1/5 (pow.f64 x 5))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 3321 to 2294 computations (30.9% saved)

series71.0ms (1.1%)

Error

Counts

4 → 18

Calls

4 calls:

37.0ms	(/.f64 (+.f64 (.f64 1/21 (pow.f64 x 7)) (+.f64 (.f64 1/5 (pow.f64 x 5)) (.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x)))))) (sqrt.f64 PI.f64))
11.0ms	(*.f64 1/5 (pow.f64 x 5))
9.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 836 to 716 computations (14.4% saved)

simplify137.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

746×	`associate-l_binary64`
648×	`associate-r_binary64`
369×	`distribute-rgt-in_binary64`
345×	`distribute-lft-in_binary64`
149×	`times-frac_binary64`
102×	`cancel-sign-sub-inv_binary64`
78×	`*-commutative_binary64`
69×	`exp-prod_binary64`
68×	`log-prod_binary64`
60×	`associate-*l/_binary64`
59×	`cube-prod_binary64`
55×	`associate-/l*_binary64`
51×	`associate-/l/_binary64`
50×	`associate-*r/_binary64`
42×	`distribute-rgt-neg-in_binary64`
38×	`distribute-lft-neg-in_binary64`
37×	`unswap-sqr_binary64` `associate-/r*_binary64` `associate--r+_binary64`
35×	`sqr-pow_binary64`
29×	`distribute-lft-out_binary64` `associate--l+_binary64`
28×	`+-commutative_binary64`
27×	`sub-neg_binary64`
26×	`distribute-neg-in_binary64`
22×	`distribute-rgt-out_binary64`
21×	`cube-unmult_binary64` `associate-/r/_binary64`
19×	`associate-+r+_binary64`
18×	`associate-+l+_binary64`
17×	`swap-sqr_binary64`
16×	`neg-mul-1_binary64` `neg-sub0_binary64`
13×	`pow-plus_binary64`
10×	`fabs-mul_binary64` `associate-+l-_binary64`
8×	`rem-sqrt-square_binary64` `distribute-lft-neg-out_binary64`
6×	`log-pow_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
5×	`unpow3_binary64` `pow-sqr_binary64`
4×	`log-div_binary64` `/-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
3×	`div-sub_binary64` `associate--l-_binary64`
2×	`cube-mult_binary64` `fabs-sqr_binary64` `count-2_binary64`
1×	`unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `cube-div_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `distribute-neg-frac_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` `pow-base-0_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` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-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` `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` `associate--r-_binary64`

Counts

116 → 57

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	3619
1	405	3313
2	1147	3238
3	4534	3238
4	4943	3238

prune52.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	57	3	60

Error

Counts

60 → 3

Compiler

Compiled 1190 to 852 computations (28.4% saved)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 21 (+.f64 (.f64 5 (+.f64 (.f64 (.f64 x x) 4) (.f64 -4/9 (pow.f64 (fabs.f64 x) 6)))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))))))
0.3b	(.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))) 105))
1.0b	(sqrt.f64 PI.f64)
29.4b	(/.f64 (+.f64 (.f64 21 (+.f64 (.f64 5 (+.f64 (.f64 (.f64 x x) 4) (.f64 -4/9 (pow.f64 (fabs.f64 x) 6)))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))))) (.f64 (pow.f64 (fabs.f64 x) 7) (.f64 5 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))))) (.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))) 105)))

rewrite320.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

98×	`associate-*r/_binary64`
29×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`frac-add_binary64`
16×	`pow1_binary64`
14×	`add-sqr-sqrt_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64`
13×	`prod-exp_binary64` `cbrt-unprod_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`flip3-+_binary64` `flip-+_binary64`
9×	`associate-l_binary64`
7×	`pow-prod-down_binary64`
6×	`sqrt-prod_binary64`
4×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-l/_binary64` `associate-r*_binary64`
3×	`times-frac_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 106

Calls

4 calls:

34.0ms	(/.f64 (+.f64 (.f64 21 (+.f64 (.f64 5 (+.f64 (.f64 (.f64 x x) 4) (.f64 -4/9 (pow.f64 (fabs.f64 x) 6)))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))))) (.f64 (pow.f64 (fabs.f64 x) 7) (.f64 5 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))))) (.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))) 105)))
14.0ms	(.f64 21 (+.f64 (.f64 5 (+.f64 (.f64 (.f64 x x) 4) (.f64 -4/9 (pow.f64 (fabs.f64 x) 6)))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))))))
12.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))) 105))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 11452 to 7097 computations (38% saved)

series257.0ms (3.9%)

Error

Counts

4 → 24

Calls

4 calls:

139.0ms	(/.f64 (+.f64 (.f64 21 (+.f64 (.f64 5 (+.f64 (.f64 (.f64 x x) 4) (.f64 -4/9 (pow.f64 (fabs.f64 x) 6)))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))))) (.f64 (pow.f64 (fabs.f64 x) 7) (.f64 5 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))))) (.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))) 105)))
55.0ms	(.f64 21 (+.f64 (.f64 5 (+.f64 (.f64 (.f64 x x) 4) (.f64 -4/9 (pow.f64 (fabs.f64 x) 6)))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))))))
34.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (*.f64 x x)))) 105))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 2969 to 2170 computations (26.9% saved)

simplify165.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

746×	`associate-l_binary64`
411×	`distribute-rgt-in_binary64`
400×	`distribute-lft-in_binary64`
144×	`*-commutative_binary64`
120×	`associate-/r*_binary64`
100×	`cancel-sign-sub-inv_binary64`
78×	`associate-r_binary64`
75×	`times-frac_binary64`
72×	`associate-/l*_binary64`
61×	`distribute-rgt-neg-in_binary64`
60×	`sub-neg_binary64`
51×	`distribute-lft-neg-in_binary64`
48×	`associate-*r/_binary64` `+-commutative_binary64`
45×	`associate-*l/_binary64`
32×	`neg-mul-1_binary64` `neg-sub0_binary64`
31×	`sqr-pow_binary64`
29×	`swap-sqr_binary64`
28×	`distribute-neg-in_binary64`
19×	`cube-prod_binary64` `distribute-rgt-out_binary64`
18×	`associate-+r+_binary64`
15×	`unswap-sqr_binary64`
12×	`unpow3_binary64`
11×	`associate-/r/_binary64` `associate--r+_binary64`
10×	`cube-mult_binary64`
8×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64`
6×	`log-prod_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
5×	`exp-prod_binary64`
3×	`div-sub_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
2×	`log-div_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-sum_binary64` `1-exp_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `associate-/l/_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` `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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-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` `associate-+l-_binary64`

Counts

130 → 113

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	387	10075
1	1360	7674
2	5246	7674

prune202.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Error

Counts

116 → 3

Compiler

Compiled 8957 to 5763 computations (35.7% saved)

regimes1.8s (27.8%)

Accuracy

Total 0.1b remaining (73.7%)

Threshold costs 0.1b (73.7%)

Compiler

Compiled 49989 to 29150 computations (41.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
3×	`+-commutative_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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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-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` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	80
1	43	80
2	42	80

end2.0ms (0%)

Compiler: Compiled 48 to 38 computations (20.8% saved)

sample1.3s (20.1%)

Algorithm

1×

intervals

Results

774.0ms	8000×	body	128	valid
95.0ms	8001×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 243 to 169 computations (30.5% saved)

Details

analyze130.0ms (2%)

sample46.0ms (0.7%)

simplify113.0ms (1.7%)

prune5.0ms (0.1%)

localize36.0ms (0.5%)

rewrite481.0ms (7.3%)

series120.0ms (1.8%)

simplify251.0ms (3.8%)

prune159.0ms (2.4%)

localize21.0ms (0.3%)

rewrite234.0ms (3.5%)

series117.0ms (1.8%)

simplify188.0ms (2.8%)

prune128.0ms (1.9%)

localize20.0ms (0.3%)

rewrite158.0ms (2.4%)

series71.0ms (1.1%)

simplify137.0ms (2.1%)

prune52.0ms (0.8%)

localize32.0ms (0.5%)

rewrite320.0ms (4.8%)

series257.0ms (3.9%)

simplify165.0ms (2.5%)

prune202.0ms (3.1%)

regimes1.8s (27.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end2.0ms (0%)

sample1.3s (20.1%)

Profiling