Details

Time bar (total: 3.1s)

analyze49.0ms (1.6%)

Algorithm
search
egg-herbie
Rules
32×cancel-sign-sub-inv_binary64
30×sub-neg_binary64
18×associate--r+_binary64
14×distribute-rgt-neg-in_binary64
10×distribute-lft-neg-in_binary64 associate-*l*_binary64 associate-+l-_binary64
neg-mul-1_binary64 neg-sub0_binary64 distribute-rgt-neg-out_binary64 associate-*r*_binary64 *-commutative_binary64 +-commutative_binary64
distribute-lft-neg-out_binary64
sub0-neg_binary64 distribute-neg-in_binary64 distribute-rgt-in_binary64 associate--r-_binary64 associate--l+_binary64
*-lft-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_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 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-lft-in_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
01114
12314
23714
35414
46814
510414
613014
718314
817714
917914
1015014
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.5%)

Algorithm
intervals
Results
5.0ms242×body128valid
0.0msbody2048valid
0.0msbody1024valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify13.0ms (0.4%)

Algorithm
egg-herbie
Rules
25×cancel-sign-sub-inv_binary64
18×sub-neg_binary64
11×neg-mul-1_binary64
10×distribute-rgt-neg-in_binary64
associate--r+_binary64
neg-sub0_binary64 distribute-rgt-in_binary64
unsub-neg_binary64
+-lft-identity_binary64 distribute-lft-neg-out_binary64 +-commutative_binary64
sub0-neg_binary64 distribute-lft-neg-in_binary64 associate-+l-_binary64 *-commutative_binary64
*-lft-identity_binary64 distribute-rgt-neg-out_binary64
distribute-neg-in_binary64 distribute-lft-in_binary64 associate-+l+_binary64
*-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 associate--r-_binary64
1-exp_binary64 +-rgt-identity_binary64 associate-*l*_binary64 associate--l+_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-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 mul-1-neg_binary64 /-rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_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-*r*_binary64 associate--l-_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
1167
2247
3337
4427
5607
6857
7987
81257
91297
101277
11987

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (*.f64 3/8 y))

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64
diff-log_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3--_binary64 *-un-lft-identity_binary64 sub-neg_binary64 flip--_binary64 cancel-sign-sub-inv_binary64
Counts
1 → 12
Calls

1 calls:

3.0ms
(-.f64 x (*.f64 3/8 y))
Compiler

Compiled 143 to 100 computations (30.1% saved)

series23.0ms (0.8%)

Error
0.1b
Counts
1 → 12
Calls

1 calls:

20.0ms
(-.f64 x (*.f64 3/8 y))
Compiler

Compiled 81 to 85 computations (-4.9% saved)

simplify97.0ms (3.2%)

Algorithm
egg-herbie
Rules
1043×unsub-neg_binary64
928×times-frac_binary64
385×distribute-rgt-neg-in_binary64
327×neg-sub0_binary64
310×neg-mul-1_binary64
282×distribute-rgt-out_binary64
279×distribute-lft-neg-in_binary64
255×associate-*l*_binary64
239×distribute-lft-neg-out_binary64
228×distribute-rgt-neg-out_binary64
220×associate-*r*_binary64
215×*-commutative_binary64
169×distribute-rgt-in_binary64
168×associate-+l+_binary64
163×sub-neg_binary64
143×distribute-lft-out_binary64
140×cancel-sign-sub-inv_binary64
135×distribute-lft-in_binary64
130×distribute-neg-in_binary64
96×unswap-sqr_binary64
72×sqr-pow_binary64
60×+-commutative_binary64
53×associate-/l/_binary64
52×remove-double-neg_binary64
42×associate-+l-_binary64
38×distribute-rgt-out--_binary64
36×exp-prod_binary64
35×distribute-neg-out_binary64
30×sub0-neg_binary64
28×cancel-sign-sub_binary64
25×cube-prod_binary64 associate-+r+_binary64
24×exp-sum_binary64 distribute-lft-out--_binary64
22×div-sub_binary64 associate-/r*_binary64
20×cube-unmult_binary64
19×exp-diff_binary64 associate--r+_binary64
16×pow-plus_binary64 mul0-rgt_binary64 mul0-lft_binary64 pow-sqr_binary64 associate-+r-_binary64
14×unpow3_binary64 difference-of-squares_binary64 associate-/l*_binary64
13×+-rgt-identity_binary64
10×--rgt-identity_binary64 swap-sqr_binary64
mul-1-neg_binary64 associate-*r/_binary64
log-prod_binary64
*-lft-identity_binary64
associate-*l/_binary64 associate--l+_binary64
cube-mult_binary64 sqr-neg_binary64 /-rgt-identity_binary64 +-lft-identity_binary64
exp-neg_binary64 cube-neg_binary64
unpow2_binary64 *-rgt-identity_binary64 distribute-frac-neg_binary64 count-2_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-div_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate--r-_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 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 rec-exp_binary64 prod-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-sqrt-square_binary64 rem-square-sqrt_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 associate-/r/_binary64
Counts
24 → 16
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031216
182201
2217201
3573201
41380201
52337201
63781201
74922201
85770201

prune10.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New12416
Fresh000
Picked011
Done000
Total12517
Error
0.0b
Counts
17 → 5
Compiler

Compiled 159 to 117 computations (26.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
0.5b
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
0.5b
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
0.5b
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))

rewrite130.0ms (4.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64 flip3-+_binary64 flip-+_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_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 → 87
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
4.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
4.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
4.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
Compiler

Compiled 2523 to 1812 computations (28.2% saved)

series181.0ms (5.9%)

Error
0.0b
Counts
4 → 41
Calls

4 calls:

51.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)))
34.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
33.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
31.0ms
(cbrt.f64 (+.f64 (*.f64 -3/8 y) x))
Compiler

Compiled 2981 to 2511 computations (15.8% saved)

simplify122.0ms (4%)

Algorithm
egg-herbie
Rules
569×unswap-sqr_binary64
531×associate-*l*_binary64
523×associate-*r*_binary64
224×times-frac_binary64
220×*-commutative_binary64
160×associate-/l*_binary64
154×sub-neg_binary64
126×associate-/r*_binary64
112×sqr-pow_binary64
110×cancel-sign-sub-inv_binary64
107×exp-prod_binary64
106×neg-sub0_binary64 distribute-rgt-neg-in_binary64
104×distribute-lft-neg-in_binary64
100×neg-mul-1_binary64
65×distribute-rgt-in_binary64
63×exp-sum_binary64
53×unsub-neg_binary64
52×associate-*r/_binary64
50×distribute-lft-in_binary64
48×associate-/r/_binary64 associate-*l/_binary64
38×div-sub_binary64
35×log-prod_binary64
32×exp-diff_binary64 +-commutative_binary64
30×distribute-neg-frac_binary64
27×cube-prod_binary64 associate-+r-_binary64
22×associate-+l-_binary64
21×*-rgt-identity_binary64
20×cube-unmult_binary64 *-lft-identity_binary64 pow-sqr_binary64
19×associate-+l+_binary64
18×sub0-neg_binary64 +-rgt-identity_binary64
17×associate--r+_binary64
16×exp-to-pow_binary64
14×distribute-neg-in_binary64
12×unpow1/3_binary64 pow-plus_binary64 associate-+r+_binary64
10×distribute-lft-neg-out_binary64 distribute-rgt-out_binary64 associate--l+_binary64
exp-neg_binary64 rem-sqrt-square_binary64
unpow3_binary64 distribute-rgt-neg-out_binary64 associate--r-_binary64
log-pow_binary64 exp-lft-sqr_binary64 rem-exp-log_binary64 distribute-rgt-out--_binary64
swap-sqr_binary64 distribute-lft-out_binary64
log-div_binary64 unpow1/2_binary64
unpow2_binary64 unpow1_binary64 cube-mult_binary64 --rgt-identity_binary64
cube-div_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 remove-double-neg_binary64 difference-of-squares_binary64 count-2_binary64 associate--l-_binary64
log-rec_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_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 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 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/l/_binary64
Counts
128 → 115
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01632862
14002728
210872554
340872367
456102367

prune94.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1114115
Fresh123
Picked011
Done011
Total1128120
Error
0.0b
Counts
120 → 8
Compiler

Compiled 2531 to 1800 computations (28.9% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
0.6b
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x))))
0.9b
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8)))) 4)

rewrite120.0ms (3.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×cbrt-div_binary64
22×cbrt-prod_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
unpow-prod-down_binary64
flip3-+_binary64 flip-+_binary64
pow1_binary64 add-exp-log_binary64
pow1/3_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64
pow-unpow_binary64
pow-pow_binary64 associate-*l/_binary64 associate-*r/_binary64
pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64
Counts
4 → 70
Calls

4 calls:

11.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x))))
5.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8)))) 4)
3.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
2.0ms
(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
Compiler

Compiled 2849 to 2136 computations (25% saved)

series178.0ms (5.8%)

Error
0.0b
Counts
4 → 32
Calls

4 calls:

41.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x))))
41.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8)))) 4)
34.0ms
(cbrt.f64 (+.f64 x (*.f64 y -3/8)))
32.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
Compiler

Compiled 3192 to 2669 computations (16.4% saved)

simplify166.0ms (5.4%)

Algorithm
egg-herbie
Rules
536×associate-*l*_binary64
507×associate-*r*_binary64
197×*-commutative_binary64
194×exp-prod_binary64
185×times-frac_binary64
153×sub-neg_binary64
144×associate-/l*_binary64
140×sqr-pow_binary64
103×neg-sub0_binary64
93×neg-mul-1_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64
89×log-prod_binary64 associate-/r*_binary64
84×distribute-lft-neg-in_binary64
83×unswap-sqr_binary64
73×exp-sum_binary64
67×pow-plus_binary64
65×unsub-neg_binary64
60×distribute-rgt-in_binary64
53×unpow3_binary64 prod-exp_binary64
48×associate-*r/_binary64
46×cube-unmult_binary64
44×distribute-lft-in_binary64
42×cube-prod_binary64
41×associate-/r/_binary64 associate-*l/_binary64
39×log-pow_binary64 div-sub_binary64
38×distribute-neg-frac_binary64
34×+-commutative_binary64
33×exp-to-pow_binary64
32×exp-diff_binary64
28×associate-+r-_binary64
23×associate-+l-_binary64
20×distribute-lft-neg-out_binary64
17×unpow1/3_binary64 pow-sqr_binary64
16×associate-/l/_binary64 associate--r+_binary64
15×unpow2_binary64 unpow1/2_binary64 unpow1_binary64
14×log-div_binary64 div-exp_binary64
13×distribute-neg-in_binary64 associate-+l+_binary64
12×exp-neg_binary64
10×rem-sqrt-square_binary64 swap-sqr_binary64 distribute-rgt-neg-out_binary64
distribute-rgt-out--_binary64
exp-lft-sqr_binary64 rem-3cbrt-rft_binary64
associate--r-_binary64
rem-exp-log_binary64 associate-+r+_binary64
rec-exp_binary64 cube-mult_binary64
associate--l+_binary64
rem-3cbrt-lft_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64
log-rec_binary64 remove-double-neg_binary64 difference-of-squares_binary64 associate--l-_binary64
1-exp_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64 count-2_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 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64
Counts
102 → 66
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02332379
15032275
211922217
342092073
448472068
548882068
649172068

prune62.0ms (2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New65166
Fresh055
Picked011
Done022
Total65974
Error
0.0b
Counts
74 → 9
Compiler

Compiled 1836 to 1348 computations (26.6% saved)

localize25.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
0.6b
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x))))
0.9b
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8)))))) 4)

rewrite155.0ms (5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×cbrt-div_binary64
20×cbrt-prod_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
flip3-+_binary64 flip-+_binary64
pow1_binary64 add-exp-log_binary64
unpow-prod-down_binary64 pow1/3_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64
pow-unpow_binary64
pow-pow_binary64 associate-*l/_binary64 associate-*r/_binary64
pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64
Counts
4 → 68
Calls

4 calls:

11.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x))))
6.0ms
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8)))))) 4)
4.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
3.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
Compiler

Compiled 3674 to 2811 computations (23.5% saved)

series199.0ms (6.5%)

Error
0.0b
Counts
4 → 31
Calls

4 calls:

47.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 -3/8 y) x)) (cbrt.f64 (+.f64 (*.f64 -3/8 y) x))))
42.0ms
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8)))) 2) (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8)))))) 4)
35.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
33.0ms
(cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))))
Compiler

Compiled 3908 to 3253 computations (16.8% saved)

simplify111.0ms (3.6%)

Algorithm
egg-herbie
Rules
635×unswap-sqr_binary64
374×associate-*r*_binary64
357×associate-*l*_binary64
185×times-frac_binary64
168×sqr-pow_binary64
161×*-commutative_binary64
146×sub-neg_binary64
144×associate-/l*_binary64
111×exp-prod_binary64
91×neg-sub0_binary64
86×associate-/r*_binary64
84×cancel-sign-sub-inv_binary64
83×neg-mul-1_binary64
80×distribute-rgt-neg-in_binary64
71×distribute-lft-neg-in_binary64
63×exp-sum_binary64
53×unsub-neg_binary64
48×associate-*r/_binary64
46×distribute-rgt-in_binary64
41×log-prod_binary64 associate-/r/_binary64 associate-*l/_binary64
39×div-sub_binary64 pow-sqr_binary64
38×distribute-neg-frac_binary64
37×cube-unmult_binary64
33×+-commutative_binary64
32×exp-diff_binary64 cube-prod_binary64
30×distribute-lft-in_binary64
27×associate-+r-_binary64
24×pow-plus_binary64
22×associate-+l-_binary64
18×distribute-lft-neg-out_binary64
16×exp-to-pow_binary64 sub0-neg_binary64 associate-/l/_binary64 associate--r+_binary64
15×log-pow_binary64 +-rgt-identity_binary64
13×distribute-neg-in_binary64
12×associate-+l+_binary64
11×unpow2_binary64
10×unpow1/2_binary64 unpow1_binary64 swap-sqr_binary64
unpow3_binary64 distribute-rgt-out--_binary64
prod-exp_binary64 exp-neg_binary64 distribute-rgt-neg-out_binary64
associate--r-_binary64
exp-lft-sqr_binary64 rem-exp-log_binary64 rem-sqrt-square_binary64
associate-+r+_binary64
log-div_binary64 cube-mult_binary64 rem-3cbrt-rft_binary64 mul-1-neg_binary64 associate--l+_binary64
unpow1/3_binary64 --rgt-identity_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64
rem-3cbrt-lft_binary64 remove-double-neg_binary64 difference-of-squares_binary64 associate--l-_binary64
log-rec_binary64 1-exp_binary64 rem-cbrt-cube_binary64 *-rgt-identity_binary64 count-2_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 rec-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64
Counts
99 → 65
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02202378
14442223
210402217
334282036
451532036

prune76.0ms (2.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New65065
Fresh055
Picked011
Done033
Total65974
Error
0.0b
Counts
74 → 9
Compiler

Compiled 2385 to 1791 computations (24.9% saved)

regimes530.0ms (17.2%)

Accuracy

Total 0.1b remaining (61.5%)

Threshold costs 0.1b (61.5%)

Compiler

Compiled 8948 to 7282 computations (18.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 *-commutative_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-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 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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
1167
2247
3287
4317
5327
6307

end1.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

sample667.0ms (21.7%)

Algorithm
intervals
Results
178.0ms7445×body128valid
26.0ms199×body1024valid
14.0ms140×body2048valid
9.0ms151×body512valid
3.0ms65×body256valid
Compiler

Compiled 202 to 177 computations (12.4% saved)

Profiling

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