Details

analyze1.0s (6.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

686×	`distribute-rgt-in_binary64`
682×	`distribute-lft-in_binary64`
620×	`associate-l_binary64`
427×	`associate-r_binary64`
346×	`associate-+l+_binary64` `associate-+r+_binary64`
207×	`sub-neg_binary64`
188×	`+-commutative_binary64`
186×	`distribute-rgt-out_binary64`
126×	`*-commutative_binary64`
103×	`neg-mul-1_binary64` `neg-sub0_binary64`
96×	`associate-*l/_binary64` `associate--r+_binary64`
92×	`associate-*r/_binary64`
88×	`unsub-neg_binary64` `distribute-neg-in_binary64`
44×	`associate-/l*_binary64`
40×	`associate--l+_binary64`
32×	`distribute-lft-out_binary64`
16×	`associate-/r/_binary64`
15×	`div-sub_binary64`
12×	`cancel-sign-sub-inv_binary64`
11×	`distribute-neg-frac_binary64`
8×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
4×	`associate-+l-_binary64` `associate-+r-_binary64`
3×	`pow-plus_binary64` `cube-unmult_binary64` `sqr-pow_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` `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-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` `times-frac_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` `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` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	220
1	160	220
2	426	220
3	993	220
4	3238	220
5	4696	220
6	5008	220
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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
37.4%	62.4%	0.1%	10
43.7%	56.2%	0.1%	11
43.7%	56.2%	0.1%	12
43.7%	56.2%	0.1%	13
61.7%	38.2%	0.1%	14

Compiler

Compiled 38 to 30 computations (21.1% saved)

sample32.0ms (0.2%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 75 to 62 computations (17.3% saved)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

753×	`associate-+l+_binary64`
706×	`distribute-rgt-in_binary64`
700×	`distribute-lft-in_binary64`
667×	`associate-+r+_binary64`
244×	`distribute-neg-in_binary64`
195×	`associate-l_binary64`
132×	`associate-r_binary64`
119×	`cancel-sign-sub-inv_binary64`
54×	`+-commutative_binary64`
50×	`distribute-rgt-out_binary64`
45×	`sub-neg_binary64`
43×	`*-commutative_binary64`
30×	`unsub-neg_binary64`
28×	`neg-mul-1_binary64` `neg-sub0_binary64`
25×	`associate-*l/_binary64`
24×	`associate-*r/_binary64` `associate--r+_binary64`
16×	`distribute-neg-frac_binary64`
11×	`associate-/l*_binary64`
10×	`distribute-lft-out_binary64` `associate--l+_binary64`
4×	`div-sub_binary64` `associate-/r/_binary64`
3×	`sqr-pow_binary64`
2×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `cube-unmult_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+l-_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-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_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` `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-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` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_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` `pow-sqr_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-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	55
1	57	55
2	138	55
3	306	55
4	934	55
5	4652	55
6	5236	55

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.0b

Counts

2 → 1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
0.1b	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
27.1b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))

rewrite363.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

24.9b

Rules

18×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64` `associate-r_binary64`
8×	`associate-/l/_binary64` `associate-*l/_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
4×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64`
3×	`times-frac_binary64` `flip3--_binary64` `flip--_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `associate-/r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`

Counts

4 → 91

Calls

4 calls:

32.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
13.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
7.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)

Compiler

Compiled 4628 to 3297 computations (28.8% saved)

series555.0ms (3.4%)

Error

0.9b

Counts

4 → 48

Calls

4 calls:

410.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
27.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
27.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
20.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)

Compiler

Compiled 5687 to 4586 computations (19.4% saved)

simplify214.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

301×	`times-frac_binary64`
287×	`associate-l_binary64`
265×	`distribute-rgt-in_binary64` `associate-r_binary64`
259×	`distribute-lft-in_binary64`
198×	`cancel-sign-sub-inv_binary64`
193×	`*-commutative_binary64`
148×	`sub-neg_binary64`
146×	`div-sub_binary64`
122×	`+-commutative_binary64`
111×	`distribute-neg-in_binary64`
87×	`associate-+r+_binary64`
78×	`associate-/l*_binary64`
75×	`associate-+l+_binary64`
74×	`exp-prod_binary64`
70×	`unswap-sqr_binary64`
62×	`distribute-rgt-out_binary64`
53×	`sqr-pow_binary64`
48×	`associate--l+_binary64` `associate--r+_binary64`
45×	`exp-sum_binary64`
44×	`distribute-rgt-neg-in_binary64`
42×	`neg-mul-1_binary64` `neg-sub0_binary64`
40×	`cube-prod_binary64`
38×	`log-prod_binary64`
37×	`distribute-lft-neg-in_binary64`
36×	`associate-*l/_binary64`
29×	`associate-*r/_binary64`
25×	`unsub-neg_binary64`
23×	`-rgt-identity_binary64` `swap-sqr_binary64` `associate-/r_binary64`
22×	`associate-/l/_binary64`
20×	`associate-/r/_binary64`
18×	`log-div_binary64`
17×	`distribute-neg-frac_binary64`
16×	`distribute-lft-neg-out_binary64`
15×	`unpow3_binary64`
12×	`cube-div_binary64`
11×	`*-lft-identity_binary64`
10×	`cube-unmult_binary64` `cube-mult_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
4×	`unpow1/2_binary64` `exp-diff_binary64`
3×	`/-rgt-identity_binary64` `pow-sqr_binary64`
2×	`log-pow_binary64` `log-rec_binary64` `distribute-lft-out_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `associate-+l-_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` `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-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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

139 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	6271
1	922	5738
2	3352	5258
3	4721	5258
4	4996	5258

prune226.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Error

0.0b

Counts

123 → 7

Compiler

Compiled 4754 to 3401 computations (28.5% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))
0.1b	(.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))))
0.1b	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
24.2b	(/.f64 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))))))) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))

rewrite249.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`times-frac_binary64` `associate-l_binary64` `associate-r_binary64`
6×	`associate-*r/_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 97

Calls

4 calls:

10.0ms	(/.f64 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))))))) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
7.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
6.0ms	(.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))))
6.0ms	(.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))

Compiler

Compiled 4808 to 3434 computations (28.6% saved)

series449.0ms (2.7%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

316.0ms	(/.f64 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))))))) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
29.0ms	(.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))))
26.0ms	(.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))
17.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))

Compiler

Compiled 4424 to 3576 computations (19.2% saved)

simplify208.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

320×	`associate-l_binary64`
277×	`associate-r_binary64`
251×	`times-frac_binary64` `distribute-rgt-in_binary64`
241×	`distribute-lft-in_binary64`
225×	`associate--l+_binary64`
224×	`cancel-sign-sub-inv_binary64`
168×	`distribute-rgt-neg-in_binary64`
166×	`*-commutative_binary64`
131×	`distribute-lft-neg-in_binary64`
112×	`distribute-neg-in_binary64` `associate-/l*_binary64` `+-commutative_binary64`
107×	`exp-prod_binary64`
101×	`associate-/r*_binary64`
92×	`associate-+r+_binary64`
88×	`sub-neg_binary64`
82×	`unswap-sqr_binary64`
77×	`associate-+l+_binary64`
63×	`distribute-rgt-out_binary64`
54×	`neg-mul-1_binary64` `neg-sub0_binary64`
53×	`associate-*l/_binary64`
50×	`exp-sum_binary64` `associate-*r/_binary64`
48×	`associate-/l/_binary64`
44×	`sqr-pow_binary64`
42×	`cube-prod_binary64`
34×	`*-lft-identity_binary64`
32×	`distribute-lft-neg-out_binary64` `associate-/r/_binary64`
30×	`*-rgt-identity_binary64`
26×	`log-prod_binary64`
22×	`unsub-neg_binary64` `swap-sqr_binary64`
20×	`associate--r+_binary64`
16×	`distribute-lft-out_binary64`
14×	`distribute-rgt-neg-out_binary64`
13×	`distribute-neg-frac_binary64`
11×	`distribute-rgt-out--_binary64`
9×	`unpow3_binary64`
8×	`cube-unmult_binary64`
7×	`cube-mult_binary64`
5×	`/-rgt-identity_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`
4×	`log-div_binary64`
3×	`pow-sqr_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `div-sub_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `associate-+l-_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` `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` `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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `count-2_binary64` `associate--r-_binary64`

Counts

145 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	5579
1	831	5172
2	2985	4812
3	4607	4812
4	4935	4812

prune200.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	124	6	130

Error

0.0b

Counts

130 → 6

Compiler

Compiled 4800 to 3425 computations (28.6% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.8b	(/.f64 (.f64 x y) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
23.1b	(/.f64 (pow.f64 x 4) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
23.1b	(/.f64 (.f64 x x) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
23.5b	(/.f64 (pow.f64 x 3) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))

rewrite741.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

63×	`times-frac_binary64`
49×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
24×	`add-exp-log_binary64` `unpow-prod-down_binary64`
21×	`associate-/l*_binary64`
18×	`add-cbrt-cube_binary64`
12×	`cube-prod_binary64` `associate-/r*_binary64`
10×	`div-exp_binary64`
8×	`sqr-pow_binary64` `associate-/r/_binary64`
6×	`cbrt-undiv_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `unpow3_binary64` `cube-mult_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`

Counts

4 → 160

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 x 3) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
7.0ms	(/.f64 (pow.f64 x 4) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
6.0ms	(/.f64 (.f64 x x) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
6.0ms	(/.f64 (.f64 x y) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))

Compiler

Compiled 18086 to 13113 computations (27.5% saved)

series307.0ms (1.9%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

118.0ms	(/.f64 (.f64 x y) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
37.0ms	(/.f64 (pow.f64 x 4) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
31.0ms	(/.f64 (.f64 x x) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
31.0ms	(/.f64 (pow.f64 x 3) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))

Compiler

Compiled 7891 to 6032 computations (23.6% saved)

simplify327.0ms (2%)

Algorithm

1×	egg-herbie

Rules

378×	`cancel-sign-sub-inv_binary64`
272×	`associate-/l*_binary64`
251×	`distribute-rgt-neg-in_binary64`
247×	`distribute-lft-neg-in_binary64`
226×	`associate-r_binary64`
224×	`associate-l_binary64`
171×	`log-prod_binary64`
130×	`log-div_binary64`
123×	`associate-/r*_binary64`
117×	`cube-div_binary64` `times-frac_binary64`
96×	`unpow3_binary64` `distribute-rgt-out_binary64` `associate-/l/_binary64`
95×	`associate-*l/_binary64`
91×	`cube-mult_binary64`
88×	`sub-neg_binary64`
80×	`distribute-neg-frac_binary64`
74×	`swap-sqr_binary64`
72×	`cube-prod_binary64` `*-commutative_binary64`
71×	`associate-*r/_binary64`
66×	`+-commutative_binary64`
59×	`distribute-lft-out_binary64`
58×	`associate-/r/_binary64`
51×	`log-pow_binary64`
48×	`sqr-pow_binary64`
47×	`neg-mul-1_binary64` `neg-sub0_binary64`
42×	`distribute-rgt-in_binary64`
40×	`distribute-lft-in_binary64`
36×	`exp-prod_binary64`
31×	`distribute-neg-in_binary64` `associate-+r+_binary64`
27×	`associate--l+_binary64` `associate-+l+_binary64`
26×	`unswap-sqr_binary64`
25×	`distribute-rgt-out--_binary64`
20×	`distribute-lft-out--_binary64`
18×	`pow-plus_binary64` `div-sub_binary64` `*-rgt-identity_binary64`
16×	`cube-unmult_binary64` `/-rgt-identity_binary64`
14×	`unsub-neg_binary64`
13×	`associate--r+_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`log-rec_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64`
8×	`distribute-rgt-neg-out_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
3×	`*-lft-identity_binary64`
1×	`1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `distribute-rgt1-in_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-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` `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-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

198 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	315	8024
1	698	7422
2	2862	7371
3	4557	7329
4	4987	7329
5	4940	7329

prune375.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	126	7	133

Error

0.0b

Counts

133 → 7

Compiler

Compiled 10135 to 7358 computations (27.4% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.9b	(/.f64 y (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
23.1b	(/.f64 (pow.f64 x 4) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
23.1b	(/.f64 (.f64 x x) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
23.5b	(/.f64 (pow.f64 x 3) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))

rewrite864.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

69×	`times-frac_binary64`
55×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
24×	`unpow-prod-down_binary64`
23×	`associate-/l*_binary64`
21×	`add-exp-log_binary64`
15×	`add-cbrt-cube_binary64`
12×	`cube-prod_binary64` `associate-/r*_binary64`
9×	`div-exp_binary64`
8×	`sqr-pow_binary64` `associate-/r/_binary64`
5×	`cbrt-undiv_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `unpow3_binary64` `cube-mult_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`prod-exp_binary64` `cbrt-unprod_binary64`

Counts

4 → 166

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 x 3) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
6.0ms	(/.f64 (pow.f64 x 4) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
6.0ms	(/.f64 (.f64 x x) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
4.0ms	(/.f64 y (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))

Compiler

Compiled 18722 to 13713 computations (26.8% saved)

series305.0ms (1.9%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

111.0ms	(/.f64 y (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
40.0ms	(/.f64 (pow.f64 x 4) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
33.0ms	(/.f64 (.f64 x x) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
31.0ms	(/.f64 (pow.f64 x 3) (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))

Compiler

Compiled 7788 to 5968 computations (23.4% saved)

simplify344.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
346×	`cancel-sign-sub-inv_binary64`
303×	`log-prod_binary64`
236×	`distribute-rgt-neg-in_binary64`
229×	`distribute-lft-neg-in_binary64`
211×	`associate-/l*_binary64`
192×	`associate-r_binary64`
179×	`associate-l_binary64`
120×	`associate-/r*_binary64`
113×	`log-div_binary64`
92×	`times-frac_binary64`
91×	`associate-/l/_binary64`
81×	`unpow3_binary64`
80×	`associate-*l/_binary64`
79×	`sub-neg_binary64`
71×	`distribute-neg-frac_binary64`
65×	`cube-prod_binary64`
63×	`associate-*r/_binary64`
61×	`*-commutative_binary64`
56×	`+-commutative_binary64`
50×	`associate-/r/_binary64`
48×	`log-pow_binary64`
47×	`sqr-pow_binary64`
46×	`neg-mul-1_binary64` `neg-sub0_binary64`
45×	`swap-sqr_binary64`
42×	`distribute-rgt-in_binary64`
40×	`distribute-lft-in_binary64`
38×	`cube-div_binary64`
31×	`distribute-neg-in_binary64`
25×	`associate--l+_binary64`
20×	`associate-+l+_binary64`
19×	`/-rgt-identity_binary64`
18×	`associate-+r+_binary64`
15×	`unsub-neg_binary64`
14×	`cube-unmult_binary64`
13×	`div-sub_binary64` `associate--r+_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`exp-prod_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_binary64` `pow-sqr_binary64`
10×	`log-rec_binary64` `pow-plus_binary64`
6×	`cube-mult_binary64`
5×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
4×	`unpow2_binary64` `unpow1_binary64`
3×	`*-lft-identity_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_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-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` `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` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

204 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	8212
1	653	7676
2	2495	7667
3	4643	7667
4	4944	7667
5	4995	7667

prune374.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	119	7	126

Error

0.0b

Counts

126 → 7

Compiler

Compiled 9142 to 6657 computations (27.2% saved)

regimes7.3s (45%)

Accuracy

Total 0.2b remaining (87.2%)

Threshold costs 0.2b (87.2%)

Compiler

Compiled 82537 to 64423 computations (21.9% saved)

bsearch82.0ms (0.5%)

Steps

Iters	Range		Point
7	3.021124442013467e+55	9.616364493277695e+56	8.851117381461261e+56
10	-3.1095846932464087e+88	-2.7834426246397604e+76	-4.6524798424710355e+76

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
14×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-neg-in_binary64`
1×	`if-if-or-not_binary64` `unsub-neg_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_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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-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-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	63	211
1	97	211
2	108	211
3	116	211
4	119	211
5	120	211
6	117	211

end3.0ms (0%)

Compiler: Compiled 141 to 103 computations (27% saved)

sample1.5s (9.4%)

Algorithm

1×

intervals

Results

677.0ms	8000×	body	128	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 914 to 700 computations (23.4% saved)

Details

analyze1.0s (6.3%)

sample32.0ms (0.2%)

simplify53.0ms (0.3%)

prune3.0ms (0%)

localize24.0ms (0.1%)

rewrite363.0ms (2.2%)

series555.0ms (3.4%)

simplify214.0ms (1.3%)

prune226.0ms (1.4%)

localize24.0ms (0.1%)

rewrite249.0ms (1.5%)

series449.0ms (2.7%)

simplify208.0ms (1.3%)

prune200.0ms (1.2%)

localize37.0ms (0.2%)

rewrite741.0ms (4.5%)

series307.0ms (1.9%)

simplify327.0ms (2%)

prune375.0ms (2.3%)

localize43.0ms (0.3%)

rewrite864.0ms (5.3%)

series305.0ms (1.9%)

simplify344.0ms (2.1%)

prune374.0ms (2.3%)

regimes7.3s (45%)

bsearch82.0ms (0.5%)

simplify12.0ms (0.1%)

end3.0ms (0%)

sample1.5s (9.4%)

Profiling