Details

Time bar (total: 3.5s)

analyze428.0ms (12.3%)

Algorithm
search
egg-herbie
Rules
285×unsub-neg_binary64
246×distribute-rgt-in_binary64
156×distribute-lft-in_binary64
140×associate-*r*_binary64
131×cancel-sign-sub-inv_binary64
118×associate-*l*_binary64
117×sub-neg_binary64
110×neg-mul-1_binary64 distribute-rgt-neg-out_binary64
107×associate--r+_binary64
105×neg-sub0_binary64
98×distribute-lft-neg-out_binary64
88×associate-+l-_binary64
79×distribute-rgt-neg-in_binary64
73×distribute-lft-neg-in_binary64
71×distribute-neg-out_binary64 *-commutative_binary64
49×associate-+r+_binary64
38×associate-+l+_binary64 +-commutative_binary64
34×remove-double-neg_binary64
32×distribute-rgt-out--_binary64
30×mul0-rgt_binary64
28×mul0-lft_binary64
26×associate--r-_binary64
25×distribute-neg-in_binary64 associate--l-_binary64
22×sub0-neg_binary64
16×*-rgt-identity_binary64 associate--l+_binary64
14×*-lft-identity_binary64 distribute-rgt-out_binary64
10×associate-+r-_binary64
+-rgt-identity_binary64 distribute-rgt1-in_binary64
distribute-lft1-in_binary64
+-lft-identity_binary64 distribute-lft-out--_binary64
mul-1-neg_binary64 distribute-lft-out_binary64
1-exp_binary64
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 times-frac_binary64 div-sub_binary64 /-rgt-identity_binary64 --rgt-identity_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-neg-frac_binary64 distribute-frac-neg_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02152
14752
29652
320852
433652
561552
694852
7130052
8131852
9132852
10132852
11136652
12133452
13133452
14123752
033
133
Search
TrueOtherFalseIter
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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%48%8.7%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%23.7%15%13
65%19.8%15.3%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms12×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify41.0ms (1.2%)

Algorithm
egg-herbie
Rules
142×cancel-sign-sub-inv_binary64
122×distribute-rgt-in_binary64
110×unsub-neg_binary64
77×distribute-lft-in_binary64
72×associate-*r*_binary64
63×associate-*l*_binary64
59×distribute-lft-neg-out_binary64
58×sub-neg_binary64
49×distribute-rgt-neg-out_binary64 associate--r+_binary64
44×distribute-rgt-neg-in_binary64
42×neg-mul-1_binary64 neg-sub0_binary64
39×*-commutative_binary64
32×distribute-neg-in_binary64 distribute-lft-neg-in_binary64
27×associate-+l-_binary64
20×+-lft-identity_binary64
17×mul0-rgt_binary64 mul0-lft_binary64 associate--l+_binary64
15×sub0-neg_binary64 associate-+r+_binary64 +-commutative_binary64
14×remove-double-neg_binary64 associate-+l+_binary64
*-lft-identity_binary64
*-rgt-identity_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64
associate--l-_binary64
--rgt-identity_binary64 distribute-neg-out_binary64 associate--r-_binary64
distribute-rgt1-in_binary64
mul-1-neg_binary64 +-rgt-identity_binary64 distribute-rgt-out_binary64
1-exp_binary64 distribute-lft1-in_binary64
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 times-frac_binary64 div-sub_binary64 /-rgt-identity_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-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11613
23313
36913
413013
518413
626613
742213
858913
962913
1062913
1162213
1262213
1354913

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.2b
Counts
1 → 1
Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
0.0b
(*.f64 (-.f64 y x) 6)
0.2b
(*.f64 (*.f64 (-.f64 y x) 6) z)

rewrite79.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64 associate-*l/_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
flip3--_binary64 flip--_binary64 *-commutative_binary64
unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
3 → 53
Calls

3 calls:

8.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
7.0ms
(*.f64 (-.f64 y x) 6)
3.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
Compiler

Compiled 817 to 413 computations (49.4% saved)

series120.0ms (3.5%)

Error
0.0b
Counts
3 → 45
Calls

3 calls:

45.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y x) 6) z))
34.0ms
(*.f64 (*.f64 (-.f64 y x) 6) z)
21.0ms
(*.f64 (-.f64 y x) 6)
Compiler

Compiled 846 to 726 computations (14.2% saved)

simplify101.0ms (2.9%)

Algorithm
egg-herbie
Rules
671×neg-mul-1_binary64
409×distribute-rgt-in_binary64
389×distribute-lft-in_binary64
317×*-commutative_binary64
309×distribute-rgt-neg-out_binary64
286×distribute-lft-neg-out_binary64
249×cancel-sign-sub-inv_binary64
219×exp-prod_binary64
218×distribute-rgt-neg-in_binary64
193×distribute-lft-neg-in_binary64
166×distribute-neg-in_binary64
139×associate-*l*_binary64
113×cube-prod_binary64 associate-*r*_binary64
97×log-prod_binary64 sub-neg_binary64
91×exp-sum_binary64
90×neg-sub0_binary64
78×unsub-neg_binary64
65×sqr-pow_binary64
50×exp-diff_binary64
45×swap-sqr_binary64
43×*-lft-identity_binary64
40×*-rgt-identity_binary64
39×+-commutative_binary64
27×div-sub_binary64
26×associate-+l+_binary64
24×unswap-sqr_binary64
21×associate-+r+_binary64
20×unpow3_binary64 distribute-rgt-out_binary64
16×associate-+r-_binary64
15×associate-+l-_binary64
14×cube-mult_binary64 times-frac_binary64 +-rgt-identity_binary64
13×sqr-neg_binary64
12×cube-neg_binary64
11×remove-double-neg_binary64 distribute-rgt-out--_binary64
prod-exp_binary64 cube-unmult_binary64 sub0-neg_binary64 pow-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 associate--l+_binary64 associate--r+_binary64
rem-sqrt-square_binary64
pow-plus_binary64 mul-1-neg_binary64
exp-neg_binary64 cube-div_binary64
unpow1/2_binary64
distribute-neg-out_binary64 associate--r-_binary64
1-exp_binary64 exp-1-e_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 associate--l-_binary64
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 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_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-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
98 → 70
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01161190
13011073
29721073
327301073
444731073
554611073

prune36.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh000
Picked011
Done000
Total66571
Error
0.0b
Counts
71 → 5
Compiler

Compiled 608 to 304 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 -6 (*.f64 z (-.f64 x y))))
0.0b
(*.f64 z (-.f64 x y))
0.3b
(*.f64 -6 (*.f64 z (-.f64 x y)))

rewrite341.0ms (9.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
36×distribute-rgt-in_binary64 distribute-lft-in_binary64
30×cancel-sign-sub-inv_binary64
20×add-sqr-sqrt_binary64
18×*-un-lft-identity_binary64
16×add-cube-cbrt_binary64 associate-+r+_binary64
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sub-neg_binary64
associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
flip3--_binary64 flip--_binary64 *-commutative_binary64
unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
3 → 93
Calls

3 calls:

8.0ms
(*.f64 -6 (*.f64 z (-.f64 x y)))
7.0ms
(*.f64 z (-.f64 x y))
5.0ms
(+.f64 x (*.f64 -6 (*.f64 z (-.f64 x y))))
Compiler

Compiled 1480 to 615 computations (58.4% saved)

series117.0ms (3.4%)

Error
0.0b
Counts
3 → 48
Calls

3 calls:

46.0ms
(+.f64 x (*.f64 -6 (*.f64 z (-.f64 x y))))
35.0ms
(*.f64 -6 (*.f64 z (-.f64 x y)))
27.0ms
(*.f64 z (-.f64 x y))
Compiler

Compiled 912 to 769 computations (15.7% saved)

simplify96.0ms (2.8%)

Algorithm
egg-herbie
Rules
540×unsub-neg_binary64
459×distribute-rgt-in_binary64
435×distribute-lft-in_binary64
391×*-commutative_binary64
265×exp-prod_binary64
227×neg-sub0_binary64
214×neg-mul-1_binary64
188×associate-*r*_binary64
182×associate-*l*_binary64
149×cancel-sign-sub-inv_binary64
126×distribute-rgt-neg-in_binary64
117×distribute-lft-neg-out_binary64
112×cube-prod_binary64
109×distribute-rgt-neg-out_binary64
106×log-prod_binary64
93×distribute-lft-neg-in_binary64
80×exp-sum_binary64
50×exp-diff_binary64
41×sub-neg_binary64 distribute-rgt-out_binary64
40×+-commutative_binary64
33×exp-neg_binary64
32×swap-sqr_binary64
26×sqr-pow_binary64
23×associate-+l+_binary64
21×*-rgt-identity_binary64
20×*-lft-identity_binary64
17×associate-+r+_binary64
16×distribute-rgt-out--_binary64
15×associate-+l-_binary64 associate-+r-_binary64
14×unpow3_binary64
13×distribute-neg-in_binary64
12×div-sub_binary64
10×cube-mult_binary64 distribute-lft-out_binary64
cube-neg_binary64 distribute-neg-out_binary64
sqr-neg_binary64 cancel-sign-sub_binary64
cube-unmult_binary64 distribute-lft-out--_binary64
mul-1-neg_binary64 associate--l+_binary64 associate--r+_binary64
difference-of-squares_binary64 associate--r-_binary64
remove-double-neg_binary64 associate-/l*_binary64
pow-sqr_binary64 unswap-sqr_binary64 distribute-rgt1-in_binary64 associate--l-_binary64
unpow1/2_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 +-rgt-identity_binary64
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 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 times-frac_binary64 /-rgt-identity_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
141 → 112
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01571640
13751556
211291556
335391556
449801556

prune57.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh033
Picked011
Done011
Total1125117
Error
0.0b
Counts
117 → 5
Compiler

Compiled 758 to 373 computations (50.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (-.f64 y x) (*.f64 z 6)))
0.3b
(*.f64 (-.f64 y x) (*.f64 z 6))

rewrite40.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64
associate-*l/_binary64
flip3--_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 associate-*r*_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
2 → 33
Calls

2 calls:

7.0ms
(*.f64 (-.f64 y x) (*.f64 z 6))
4.0ms
(+.f64 x (*.f64 (-.f64 y x) (*.f64 z 6)))
Compiler

Compiled 526 to 269 computations (48.9% saved)

series87.0ms (2.5%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

45.0ms
(+.f64 x (*.f64 (-.f64 y x) (*.f64 z 6)))
34.0ms
(*.f64 (-.f64 y x) (*.f64 z 6))
Compiler

Compiled 658 to 556 computations (15.5% saved)

simplify94.0ms (2.7%)

Algorithm
egg-herbie
Rules
730×associate-*l*_binary64
310×cancel-sign-sub-inv_binary64
301×distribute-rgt-in_binary64
283×distribute-lft-in_binary64
264×distribute-rgt-neg-out_binary64
245×distribute-rgt-neg-in_binary64
244×distribute-lft-neg-out_binary64
224×*-commutative_binary64
214×exp-prod_binary64
203×distribute-lft-neg-in_binary64
172×distribute-lft-out_binary64
160×distribute-neg-in_binary64
107×associate-*r*_binary64
99×log-prod_binary64
94×sub-neg_binary64
90×distribute-rgt-out_binary64
71×unsub-neg_binary64
68×neg-sub0_binary64
55×distribute-lft-out--_binary64
53×neg-mul-1_binary64
51×exp-diff_binary64
43×sqr-pow_binary64
42×distribute-rgt-out--_binary64
38×+-commutative_binary64
33×exp-sum_binary64 cube-prod_binary64
28×swap-sqr_binary64
24×unswap-sqr_binary64
23×unpow3_binary64
20×associate-+r-_binary64
16×+-rgt-identity_binary64 associate-+l-_binary64 associate-+l+_binary64
11×associate-+r+_binary64
remove-double-neg_binary64 difference-of-squares_binary64 associate--l+_binary64 associate--r+_binary64
sub0-neg_binary64
cube-mult_binary64
cube-unmult_binary64 mul-1-neg_binary64
div-sub_binary64 pow-sqr_binary64 distribute-neg-out_binary64
cube-neg_binary64 sqr-neg_binary64
prod-exp_binary64 distribute-lft1-in_binary64 associate-/l*_binary64 associate--r-_binary64
1-exp_binary64 cube-div_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 associate--l-_binary64
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 pow-base-0_binary64 unpow1/3_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 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_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 times-frac_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-rgt1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
66 → 50
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097912
1269813
2799813
32698813
44754813
54986813

prune20.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New49150
Fresh022
Picked011
Done022
Total49655
Error
0b
Counts
55 → 6
Compiler

Compiled 435 to 216 computations (50.3% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
0.6b
(cbrt.f64 (-.f64 y x))
0.6b
(cbrt.f64 (-.f64 y x))
0.6b
(cbrt.f64 (-.f64 y x))

rewrite115.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
43×cbrt-prod_binary64
37×add-sqr-sqrt_binary64
35×*-un-lft-identity_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64
11×pow1_binary64
10×swap-sqr_binary64
pow1/3_binary64 flip3--_binary64 flip--_binary64 distribute-lft-out--_binary64
associate-*l*_binary64 associate-*r*_binary64
difference-of-squares_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 associate-*l/_binary64 associate-*r/_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 101
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
3.0ms
(cbrt.f64 (-.f64 y x))
3.0ms
(cbrt.f64 (-.f64 y x))
3.0ms
(cbrt.f64 (-.f64 y x))
Compiler

Compiled 2502 to 702 computations (71.9% saved)

series179.0ms (5.2%)

Error
0b
Counts
4 → 42
Calls

4 calls:

74.0ms
(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
28.0ms
(cbrt.f64 (-.f64 y x))
27.0ms
(cbrt.f64 (-.f64 y x))
25.0ms
(cbrt.f64 (-.f64 y x))
Compiler

Compiled 2795 to 2109 computations (24.5% saved)

simplify141.0ms (4.1%)

Algorithm
egg-herbie
Rules
613×unswap-sqr_binary64
599×distribute-rgt-neg-in_binary64
508×associate-*l*_binary64
505×associate-*r*_binary64
200×*-commutative_binary64
138×cancel-sign-sub-inv_binary64
121×distribute-lft-neg-in_binary64
114×sub-neg_binary64
101×sqr-pow_binary64
88×neg-sub0_binary64
82×neg-mul-1_binary64
78×log-prod_binary64
47×exp-prod_binary64
41×distribute-lft-neg-out_binary64
39×distribute-rgt-in_binary64
35×swap-sqr_binary64
34×distribute-lft-in_binary64
31×distribute-rgt-neg-out_binary64
27×unsub-neg_binary64
24×+-commutative_binary64
23×*-rgt-identity_binary64
22×exp-sum_binary64 cube-prod_binary64 *-lft-identity_binary64
20×cube-unmult_binary64
18×associate-+l-_binary64 associate-+r-_binary64
16×log-pow_binary64
15×sub0-neg_binary64
14×pow-plus_binary64 pow-sqr_binary64 distribute-neg-in_binary64
12×exp-diff_binary64 +-rgt-identity_binary64 associate-/r*_binary64 associate-+l+_binary64
11×unpow1/3_binary64
10×div-sub_binary64 difference-of-squares_binary64
rem-sqrt-square_binary64
log-div_binary64 associate--r+_binary64 associate-+r+_binary64
unpow3_binary64 associate--l+_binary64
mul-1-neg_binary64 distribute-rgt-out_binary64
unpow1/2_binary64 exp-to-pow_binary64 associate-/l*_binary64 associate--r-_binary64
unpow2_binary64 unpow1_binary64 rem-exp-log_binary64 cancel-sign-sub_binary64
log-rec_binary64 exp-neg_binary64 cube-mult_binary64 rem-3cbrt-lft_binary64 --rgt-identity_binary64 count-2_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 distribute-frac-neg_binary64 distribute-rgt-out--_binary64 associate-/l/_binary64
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 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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 times-frac_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 distribute-neg-frac_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-*r/_binary64 associate--l-_binary64
Counts
143 → 96
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01452360
13192284
28532195
328492185
449572185
549562185

prune64.0ms (1.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done033
Total966102
Error
0b
Counts
102 → 6
Compiler

Compiled 1594 to 640 computations (59.8% saved)

regimes556.0ms (16%)

Accuracy

Total 0.2b remaining (91.3%)

Threshold costs 0.2b (91.3%)

Compiler

Compiled 6602 to 5194 computations (21.3% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Rules
11×*-commutative_binary64
neg-sub0_binary64 +-commutative_binary64
neg-mul-1_binary64 sub-neg_binary64
distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
unsub-neg_binary64 cancel-sign-sub-inv_binary64
1-exp_binary64 mul-1-neg_binary64
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 /-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
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01621
13021
24121
35319
46419
56819
66919
76519

end1.0ms (0%)

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample696.0ms (20.1%)

Algorithm
intervals
Results
250.0ms8000×body128valid
17.0ms596×body128invalid
Compiler

Compiled 119 to 108 computations (9.2% saved)

Profiling

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