Details

Time bar (total: 2.7s)

analyze73.0ms (2.7%)

Algorithm
search
egg-herbie
Rules
51×cancel-sign-sub-inv_binary64
30×sub-neg_binary64
26×distribute-rgt-in_binary64
19×distribute-rgt-neg-in_binary64 associate--r+_binary64
18×distribute-lft-in_binary64
16×unsub-neg_binary64
15×distribute-lft-neg-in_binary64
14×neg-mul-1_binary64
13×*-commutative_binary64
12×distribute-neg-in_binary64
11×associate-*r*_binary64 associate-+l-_binary64 +-commutative_binary64
distribute-lft-neg-out_binary64
neg-sub0_binary64 sub0-neg_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out--_binary64 associate-+l+_binary64
*-lft-identity_binary64 associate-+r+_binary64
distribute-rgt-out_binary64 associate-*l*_binary64 associate--r-_binary64
remove-double-neg_binary64 distribute-rgt-neg-out_binary64
*-rgt-identity_binary64 --rgt-identity_binary64 distribute-rgt1-in_binary64 associate--l+_binary64 associate-+r-_binary64
1-exp_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 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_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-neg-out_binary64 distribute-lft1-in_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 associate--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11114
21914
33814
45314
58014
615814
723614
823114
922714
1018814
022
122
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
25%74.9%0.1%5
50%50%0.1%6
59.3%37.5%3.2%7
70.2%23.4%6.3%8
74.1%17.2%8.7%9
79.2%11.3%9.5%10
81%8.2%10.8%11
83.4%5.6%11%12
84.2%4%11.8%13
85.4%2.8%11.8%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample17.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify14.0ms (0.5%)

Algorithm
egg-herbie
Rules
28×cancel-sign-sub-inv_binary64
19×sub-neg_binary64
16×distribute-rgt-neg-in_binary64
15×distribute-rgt-in_binary64
12×unsub-neg_binary64 associate--r+_binary64
11×distribute-lft-neg-in_binary64 distribute-lft-in_binary64
10×neg-mul-1_binary64
distribute-neg-in_binary64 distribute-lft-neg-out_binary64 associate-*r*_binary64 *-commutative_binary64
neg-sub0_binary64 +-commutative_binary64
mul0-rgt_binary64 mul0-lft_binary64 associate-+l-_binary64
*-lft-identity_binary64 sub0-neg_binary64 +-lft-identity_binary64 distribute-rgt-out--_binary64 associate-+l+_binary64
remove-double-neg_binary64
distribute-rgt-neg-out_binary64 distribute-rgt-out_binary64 associate-*l*_binary64 associate--r-_binary64 associate-+r+_binary64
1-exp_binary64 *-rgt-identity_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 distribute-rgt1-in_binary64 associate--l+_binary64 associate-+r-_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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_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-neg-out_binary64 distribute-lft1-in_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 associate--l-_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
2137
3237
4347
5547
61047
71587
81617
91637
101287

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 5 to 4 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (*.f64 x y) x)

rewrite13.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64 cancel-sign-sub-inv_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
diff-log_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64
Counts
1 → 14
Calls

1 calls:

4.0ms
(-.f64 (*.f64 x y) x)
Compiler

Compiled 168 to 53 computations (68.5% saved)

series20.0ms (0.7%)

Error
0b
Counts
1 → 9
Calls

1 calls:

15.0ms
(-.f64 (*.f64 x y) x)
Compiler

Compiled 96 to 82 computations (14.6% saved)

simplify74.0ms (2.7%)

Algorithm
egg-herbie
Rules
465×unsub-neg_binary64
367×*-commutative_binary64
366×distribute-rgt-in_binary64
314×distribute-lft-in_binary64
268×cancel-sign-sub-inv_binary64
261×unswap-sqr_binary64
241×times-frac_binary64
221×associate-*l*_binary64
208×exp-prod_binary64
188×associate-*r*_binary64
186×cube-prod_binary64
163×distribute-rgt-out_binary64
146×distribute-lft-out_binary64
130×exp-sum_binary64
116×difference-of-squares_binary64
111×distribute-neg-in_binary64
110×log-prod_binary64
106×neg-sub0_binary64
100×neg-mul-1_binary64
96×sqr-pow_binary64
76×distribute-neg-out_binary64
71×sub-neg_binary64
69×distribute-lft-neg-out_binary64
65×distribute-rgt-neg-out_binary64
56×exp-diff_binary64
48×swap-sqr_binary64
45×mul0-rgt_binary64 mul0-lft_binary64
41×associate-+r+_binary64
40×distribute-lft-out--_binary64
37×associate-+l+_binary64
34×distribute-rgt-out--_binary64
32×+-commutative_binary64
31×cube-neg_binary64
29×sqr-neg_binary64
28×unpow3_binary64
22×pow-sqr_binary64 distribute-lft-neg-in_binary64
20×distribute-rgt-neg-in_binary64
19×cube-mult_binary64
12×exp-neg_binary64 cube-unmult_binary64 cancel-sign-sub_binary64 associate-+l-_binary64
11×pow-plus_binary64 *-rgt-identity_binary64 sub0-neg_binary64
10×div-sub_binary64 +-rgt-identity_binary64
*-lft-identity_binary64 associate-+r-_binary64
remove-double-neg_binary64 associate-/l*_binary64
mul-1-neg_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64
+-lft-identity_binary64 distribute-lft1-in_binary64 associate--r+_binary64
--rgt-identity_binary64
log-pow_binary64 unpow1/2_binary64 rem-sqrt-square_binary64 difference-of-sqr--1_binary64 associate-*r/_binary64
unpow2_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-sub_binary64 rem-square-sqrt_binary64 difference-of-sqr-1_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/r*_binary64 associate--r-_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-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_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 rec-exp_binary64 prod-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 fabs-div_binary64 fabs-neg_binary64 fabs-fabs_binary64 sqr-abs_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 distribute-neg-frac_binary64 count-2_binary64 associate-*l/_binary64 associate--l-_binary64 associate--l+_binary64
Counts
23 → 16
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043222
1104201
2247198
31028198
42528198
54450198
64946198

prune9.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317
Error
0.0b
Counts
17 → 3
Compiler

Compiled 137 to 91 computations (33.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (*.f64 x (-.f64 y 1)))
0.5b
(cbrt.f64 (*.f64 x (-.f64 y 1)))
0.5b
(cbrt.f64 (*.f64 x (-.f64 y 1)))
0.6b
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y 1))) (cbrt.f64 (*.f64 x (-.f64 y 1))))

rewrite99.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
20×associate-*r/_binary64
18×cbrt-div_binary64
11×pow1_binary64
10×add-sqr-sqrt_binary64
pow1/3_binary64 flip3--_binary64 flip--_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
cbrt-prod_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 associate-*l/_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 72
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y 1))) (cbrt.f64 (*.f64 x (-.f64 y 1))))
4.0ms
(cbrt.f64 (*.f64 x (-.f64 y 1)))
4.0ms
(cbrt.f64 (*.f64 x (-.f64 y 1)))
4.0ms
(cbrt.f64 (*.f64 x (-.f64 y 1)))
Compiler

Compiled 1928 to 1390 computations (27.9% saved)

series249.0ms (9.2%)

Error
0.0b
Counts
4 → 44
Calls

4 calls:

61.0ms
(*.f64 (cbrt.f64 (*.f64 x (-.f64 y 1))) (cbrt.f64 (*.f64 x (-.f64 y 1))))
47.0ms
(cbrt.f64 (*.f64 x (-.f64 y 1)))
47.0ms
(cbrt.f64 (*.f64 x (-.f64 y 1)))
47.0ms
(cbrt.f64 (*.f64 x (-.f64 y 1)))
Compiler

Compiled 3745 to 3071 computations (18% saved)

simplify142.0ms (5.3%)

Algorithm
egg-herbie
Rules
516×associate-*l*_binary64
341×times-frac_binary64
229×*-commutative_binary64
190×associate-/l*_binary64
189×exp-prod_binary64
181×exp-sum_binary64
153×associate-/r*_binary64
138×neg-sub0_binary64
131×cancel-sign-sub-inv_binary64
124×distribute-rgt-in_binary64
123×distribute-rgt-neg-in_binary64
121×neg-mul-1_binary64
117×distribute-lft-neg-in_binary64
103×distribute-lft-in_binary64
97×div-sub_binary64
95×associate-*r*_binary64
92×exp-diff_binary64
72×sub-neg_binary64
71×unswap-sqr_binary64
56×sqr-pow_binary64
52×associate-/r/_binary64
50×log-prod_binary64 distribute-neg-frac_binary64 associate-*r/_binary64
49×associate-+r-_binary64 +-commutative_binary64
41×log-pow_binary64
40×log-div_binary64
34×associate-*l/_binary64
32×associate--r+_binary64 associate-+l+_binary64
31×exp-to-pow_binary64 associate-+l-_binary64
30×unsub-neg_binary64 distribute-rgt-out_binary64
28×distribute-neg-in_binary64 associate-+r+_binary64
22×exp-neg_binary64 cube-prod_binary64
18×associate-/l/_binary64
17×unpow1/3_binary64 distribute-lft-out_binary64
16×distribute-lft-neg-out_binary64
15×exp-lft-sqr_binary64 fabs-mul_binary64
14×associate--r-_binary64
13×*-rgt-identity_binary64 distribute-rgt-neg-out_binary64 associate--l+_binary64
12×pow-plus_binary64 cube-unmult_binary64 /-rgt-identity_binary64 pow-sqr_binary64 associate--l-_binary64
10×*-lft-identity_binary64
distribute-neg-out_binary64
swap-sqr_binary64
rem-exp-log_binary64 rem-sqrt-square_binary64
log-rec_binary64
unpow2_binary64 unpow1/2_binary64 distribute-rgt1-in_binary64
unpow3_binary64 unpow1_binary64 rec-exp_binary64 mul-1-neg_binary64 remove-double-neg_binary64
distribute-lft-out--_binary64
rem-3cbrt-lft_binary64 fabs-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-rgt-out--_binary64 count-2_binary64
1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_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 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-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-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64
Counts
116 → 100
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702668
14102524
211672225
341141952
449561952
549491952

prune78.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh011
Picked101
Done011
Total1003103
Error
0b
Counts
103 → 3
Compiler

Compiled 2142 to 1502 computations (29.9% saved)

localize25.0ms (0.9%)

Local error

Found 4 expressions with local error:

8.5b
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3)))) (cbrt.f64 (*.f64 x (+.f64 -1 (*.f64 y y))))) (*.f64 (cbrt.f64 (+.f64 (*.f64 y y) (+.f64 y 1))) (cbrt.f64 (+.f64 y 1))))
10.6b
(cbrt.f64 (+.f64 (*.f64 y y) (+.f64 y 1)))
12.0b
(cbrt.f64 (*.f64 x (+.f64 -1 (*.f64 y y))))
15.6b
(cbrt.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))))

rewrite141.0ms (5.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
30×cbrt-div_binary64
20×associate-*r/_binary64
16×add-exp-log_binary64
15×flip3-+_binary64 flip-+_binary64
add-cbrt-cube_binary64 frac-times_binary64 associate-/l/_binary64 associate-/r/_binary64
add-cube-cbrt_binary64 cbrt-prod_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-log-exp_binary64 prod-exp_binary64 div-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 associate-*l/_binary64
pow1/3_binary64
frac-2neg_binary64 times-frac_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 associate-/r*_binary64
Counts
4 → 72
Calls

4 calls:

16.0ms
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3)))) (cbrt.f64 (*.f64 x (+.f64 -1 (*.f64 y y))))) (*.f64 (cbrt.f64 (+.f64 (*.f64 y y) (+.f64 y 1))) (cbrt.f64 (+.f64 y 1))))
8.0ms
(cbrt.f64 (+.f64 (*.f64 y y) (+.f64 y 1)))
7.0ms
(cbrt.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))))
4.0ms
(cbrt.f64 (*.f64 x (+.f64 -1 (*.f64 y y))))
Compiler

Compiled 3822 to 2531 computations (33.8% saved)

series291.0ms (10.8%)

Error
0b
Counts
4 → 37
Calls

4 calls:

102.0ms
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3)))) (cbrt.f64 (*.f64 x (+.f64 -1 (*.f64 y y))))) (*.f64 (cbrt.f64 (+.f64 (*.f64 y y) (+.f64 y 1))) (cbrt.f64 (+.f64 y 1))))
63.0ms
(cbrt.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))))
57.0ms
(cbrt.f64 (*.f64 x (+.f64 -1 (*.f64 y y))))
26.0ms
(cbrt.f64 (+.f64 (*.f64 y y) (+.f64 y 1)))
Compiler

Compiled 3914 to 3087 computations (21.1% saved)

simplify149.0ms (5.5%)

Algorithm
egg-herbie
Rules
254×distribute-rgt-in_binary64
226×cancel-sign-sub-inv_binary64
218×times-frac_binary64
216×distribute-lft-in_binary64
147×distribute-rgt-neg-in_binary64
146×associate-*r*_binary64
145×associate-/l*_binary64 associate-*l*_binary64
141×*-commutative_binary64
138×sub-neg_binary64
137×exp-prod_binary64
136×distribute-lft-neg-in_binary64
115×unswap-sqr_binary64
96×associate-/r*_binary64
90×sqr-pow_binary64
81×log-prod_binary64
80×distribute-rgt-neg-out_binary64
71×distribute-lft-neg-out_binary64
69×neg-sub0_binary64
67×+-commutative_binary64
65×neg-mul-1_binary64
61×exp-sum_binary64
58×exp-diff_binary64
56×log-div_binary64
52×div-sub_binary64
48×unsub-neg_binary64
32×associate-*l/_binary64
31×associate-*r/_binary64
30×distribute-rgt-out_binary64
29×exp-neg_binary64
28×cube-prod_binary64
27×unpow1/3_binary64
25×exp-to-pow_binary64
24×distribute-rgt-out--_binary64
23×distribute-neg-out_binary64
22×distribute-neg-frac_binary64 distribute-lft-out_binary64
21×unpow3_binary64
19×associate--l+_binary64
18×distribute-neg-in_binary64
17×associate-/r/_binary64 associate-+l+_binary64
14×*-lft-identity_binary64 pow-sqr_binary64
12×*-rgt-identity_binary64
11×swap-sqr_binary64
10×remove-double-neg_binary64 distribute-rgt1-in_binary64 associate--r+_binary64
exp-lft-sqr_binary64 difference-of-sqr--1_binary64 associate-+r+_binary64
cube-unmult_binary64
pow-plus_binary64 mul-1-neg_binary64
log-pow_binary64 cube-div_binary64 difference-of-squares_binary64 distribute-frac-neg_binary64 distribute-lft-out--_binary64
associate-/l/_binary64 associate-+l-_binary64
unpow2_binary64 exp-lft-cube_binary64 cube-mult_binary64 difference-of-sqr-1_binary64 associate--r-_binary64 associate-+r-_binary64
unpow1/2_binary64 unpow1_binary64 rem-3cbrt-lft_binary64 cancel-sign-sub_binary64
log-rec_binary64 cube-neg_binary64 distribute-lft1-in_binary64 associate--l-_binary64
1-exp_binary64 sqr-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 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-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_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-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 /-rgt-identity_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 count-2_binary64
Counts
109 → 92
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02953752
18513318
226953216
347043159
449673159

prune97.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done011
Total92395
Error
0b
Counts
95 → 3
Compiler

Compiled 3587 to 2410 computations (32.8% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x (-.f64 y 1))
0.0b
(sqrt.f64 (*.f64 x (-.f64 y 1)))
0.0b
(sqrt.f64 (*.f64 x (-.f64 y 1)))
0.2b
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y 1))) (sqrt.f64 (*.f64 x (-.f64 y 1))))

rewrite117.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
61×pow1_binary64
32×sqrt-pow1_binary64
23×pow-prod-down_binary64
20×add-sqr-sqrt_binary64 associate-*r/_binary64
16×sqrt-div_binary64
15×*-un-lft-identity_binary64
12×pow1/2_binary64 add-cube-cbrt_binary64
11×associate-*r*_binary64
10×pow-prod-up_binary64
flip3--_binary64 flip--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
pow-sqr_binary64 sqrt-prod_binary64 cancel-sign-sub-inv_binary64
add-log-exp_binary64 frac-times_binary64 swap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 associate-*l/_binary64 *-commutative_binary64 sub-neg_binary64 difference-of-squares_binary64
pow2_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-square-sqrt_binary64 difference-of-sqr-1_binary64 distribute-lft-out--_binary64
Counts
4 → 115
Calls

4 calls:

13.0ms
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y 1))) (sqrt.f64 (*.f64 x (-.f64 y 1))))
7.0ms
(*.f64 x (-.f64 y 1))
4.0ms
(sqrt.f64 (*.f64 x (-.f64 y 1)))
4.0ms
(sqrt.f64 (*.f64 x (-.f64 y 1)))
Compiler

Compiled 1924 to 1384 computations (28.1% saved)

series87.0ms (3.2%)

Error
0b
Counts
4 → 31
Calls

4 calls:

22.0ms
(sqrt.f64 (*.f64 x (-.f64 y 1)))
20.0ms
(sqrt.f64 (*.f64 x (-.f64 y 1)))
19.0ms
(*.f64 (sqrt.f64 (*.f64 x (-.f64 y 1))) (sqrt.f64 (*.f64 x (-.f64 y 1))))
19.0ms
(*.f64 x (-.f64 y 1))
Compiler

Compiled 1074 to 845 computations (21.3% saved)

simplify127.0ms (4.7%)

Algorithm
egg-herbie
Rules
706×unsub-neg_binary64
499×unswap-sqr_binary64
304×exp-prod_binary64
252×*-commutative_binary64
221×neg-sub0_binary64
195×neg-mul-1_binary64
193×sqr-pow_binary64
170×distribute-rgt-in_binary64
167×distribute-lft-in_binary64
141×log-prod_binary64 associate-*l*_binary64
127×+-commutative_binary64
125×associate-*r*_binary64
112×distribute-rgt-neg-out_binary64
110×distribute-lft-neg-out_binary64
93×associate-+l+_binary64
84×associate-+r+_binary64
78×cube-prod_binary64
62×associate-/l*_binary64
59×sub-neg_binary64
55×distribute-rgt-neg-in_binary64
53×distribute-lft-neg-in_binary64
46×*-rgt-identity_binary64
45×pow-sqr_binary64
41×associate-/r/_binary64
39×*-lft-identity_binary64
38×fabs-mul_binary64
35×associate-/r*_binary64
31×unpow3_binary64 rem-sqrt-square_binary64
28×exp-neg_binary64
27×exp-sum_binary64 mul-1-neg_binary64 swap-sqr_binary64
23×pow-plus_binary64
22×exp-diff_binary64 remove-double-neg_binary64
21×log-pow_binary64 distribute-neg-in_binary64
18×cancel-sign-sub-inv_binary64
17×unpow1/2_binary64
14×div-sub_binary64
13×sub0-neg_binary64 distribute-rgt-out_binary64 associate-+l-_binary64
12×associate-/l/_binary64
11×associate-*l/_binary64 associate-*r/_binary64 associate-+r-_binary64
10×cube-unmult_binary64 times-frac_binary64
unpow2_binary64
rem-square-sqrt_binary64 +-rgt-identity_binary64 distribute-lft-out_binary64
unpow1_binary64 count-2_binary64
cube-mult_binary64 distribute-rgt-out--_binary64
fabs-sqr_binary64
/-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-rgt1-in_binary64
rem-3cbrt-lft_binary64 fabs-fabs_binary64
1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sqr-neg_binary64 --rgt-identity_binary64 difference-of-sqr--1_binary64 distribute-lft1-in_binary64 distribute-lft-out--_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-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
146 → 105
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01261483
12251407
27751393
316731354
433871330
548411330
649501330

prune37.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done022
Total1053108
Error
0b
Counts
108 → 3
Compiler

Compiled 796 to 542 computations (31.9% saved)

regimes362.0ms (13.4%)

Accuracy

Total 0.0b remaining (43%)

Threshold costs 0.0b (43%)

Compiler

Compiled 4680 to 3758 computations (19.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64 sub-neg_binary64 *-commutative_binary64 +-commutative_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 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 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)

IterNodesCost
067
1127
2137
3117

end1.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

sample458.0ms (17%)

Algorithm
intervals
Results
147.0ms8000×body128valid
1.0ms85×body128invalid
Compiler

Compiled 67 to 55 computations (17.9% saved)

Profiling

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