Details

Time bar (total: 3.3s)

analyze44.0ms (1.3%)

Algorithm
search
egg-herbie
Rules
associate-/r*_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 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 1-exp_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 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-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
11618
22018
32018
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
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 7 to 7 computations (0% saved)

sample15.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Rules
associate-/r*_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 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 1-exp_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 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-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 +-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2129
3129

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
15.0b
Counts
1 → 1
Compiler

Compiled 6 to 6 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

14.6b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite26.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.2b
Rules
cbrt-prod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64
pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cbrt-div_binary64 div-inv_binary64
Counts
1 → 16
Calls

1 calls:

3.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 194 to 140 computations (27.8% saved)

series55.0ms (1.7%)

Error
5.7b
Counts
1 → 6
Calls

1 calls:

49.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 227 to 217 computations (4.4% saved)

simplify119.0ms (3.6%)

Algorithm
egg-herbie
Rules
624×exp-sum_binary64
462×unsub-neg_binary64
389×exp-diff_binary64
384×times-frac_binary64 sub-neg_binary64
372×distribute-rgt-in_binary64
350×div-sub_binary64
303×distribute-lft-in_binary64
285×prod-exp_binary64
284×exp-prod_binary64
200×sqr-pow_binary64
199×associate--l-_binary64
158×div-exp_binary64
157×associate-*r*_binary64
149×associate-*l*_binary64
135×+-commutative_binary64
129×log-prod_binary64
113×*-commutative_binary64
106×associate-+r+_binary64
99×neg-mul-1_binary64
89×associate-+r-_binary64
84×distribute-neg-in_binary64
76×neg-sub0_binary64 cancel-sign-sub-inv_binary64
70×log-div_binary64
66×associate-/l*_binary64
63×associate--r+_binary64
57×log-pow_binary64
55×pow-sqr_binary64
50×associate--r-_binary64
48×rec-exp_binary64 associate-+l-_binary64
41×/-rgt-identity_binary64
39×associate-/l/_binary64
38×exp-to-pow_binary64
37×associate--l+_binary64
35×associate-+l+_binary64
31×associate-*r/_binary64
28×*-rgt-identity_binary64
27×*-lft-identity_binary64 sub0-neg_binary64
24×exp-neg_binary64 unswap-sqr_binary64 distribute-rgt-neg-out_binary64
23×unpow3_binary64
22×distribute-neg-out_binary64 associate-*l/_binary64
21×distribute-frac-neg_binary64
20×cube-prod_binary64
19×distribute-lft-neg-out_binary64 associate-/r*_binary64
18×unpow1/3_binary64 pow-plus_binary64
16×rem-exp-log_binary64
14×distribute-rgt-neg-in_binary64
12×log-rec_binary64 cube-unmult_binary64 +-rgt-identity_binary64 associate-/r/_binary64
11×rem-log-exp_binary64 --rgt-identity_binary64 distribute-lft-neg-in_binary64
10×mul-1-neg_binary64 remove-double-neg_binary64 distribute-rgt-out_binary64
unpow1/2_binary64 distribute-lft-out_binary64
cube-mult_binary64
rem-sqrt-square_binary64 distribute-rgt-out--_binary64
exp-sqrt_binary64
unpow2_binary64 cube-div_binary64 distribute-rgt1-in_binary64 count-2_binary64
log-E_binary64 pow-base-1_binary64 unpow-1_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 +-lft-identity_binary64 +-inverses_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 pow-base-0_binary64 unpow0_binary64 unpow1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 e-exp-1_binary64 exp-0_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-lft-out--_binary64
Counts
22 → 18
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
072335
1115335
2174329
3468295
41440283
53343281
64125281
74083281
84882281
94788281

prune19.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New10818
Fresh000
Picked011
Done000
Total10919
Error
0.2b
Counts
19 → 9
Compiler

Compiled 261 to 204 computations (21.8% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.4b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.5b
(cbrt.f64 (/.f64 1/2 a))
0.6b
(cbrt.f64 g)

rewrite89.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
39×cbrt-prod_binary64
35×add-sqr-sqrt_binary64
21×add-cube-cbrt_binary64 *-un-lft-identity_binary64
20×times-frac_binary64
16×associate-*r*_binary64
unswap-sqr_binary64 associate-*l*_binary64
pow1_binary64 add-exp-log_binary64
pow1/3_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
cbrt-div_binary64 div-inv_binary64 pow-prod-down_binary64
prod-exp_binary64 cbrt-unprod_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 74
Calls

3 calls:

10.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms
(cbrt.f64 (/.f64 1/2 a))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1000 to 629 computations (37.1% saved)

series93.0ms (2.8%)

Error
0.2b
Counts
3 → 12
Calls

3 calls:

50.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
19.0ms
(cbrt.f64 g)
18.0ms
(cbrt.f64 (/.f64 1/2 a))
Compiler

Compiled 403 to 384 computations (4.7% saved)

simplify97.0ms (2.9%)

Algorithm
egg-herbie
Rules
390×exp-diff_binary64
336×associate-*l*_binary64
249×associate-*r*_binary64
243×associate-+l+_binary64
241×associate-/r*_binary64
194×associate--r+_binary64
172×distribute-rgt-in_binary64
171×times-frac_binary64
157×log-div_binary64 distribute-lft-in_binary64
143×exp-prod_binary64 *-commutative_binary64
140×log-prod_binary64
133×associate-/l*_binary64
124×exp-sum_binary64
102×unswap-sqr_binary64
88×associate-+r-_binary64
77×sub-neg_binary64
72×unsub-neg_binary64
69×associate--l+_binary64
66×associate--r-_binary64
65×associate-+l-_binary64
63×sqr-pow_binary64
61×div-sub_binary64
60×cancel-sign-sub-inv_binary64
53×distribute-rgt-neg-in_binary64
45×distribute-lft-neg-in_binary64
42×*-rgt-identity_binary64
38×*-lft-identity_binary64
35×distribute-neg-in_binary64 associate-/l/_binary64
32×associate--l-_binary64
29×exp-to-pow_binary64
28×neg-sub0_binary64 associate-*l/_binary64
27×neg-mul-1_binary64
26×associate-+r+_binary64
24×log-pow_binary64
23×cube-prod_binary64
22×associate-*r/_binary64
17×distribute-rgt-neg-out_binary64 associate-/r/_binary64
15×+-commutative_binary64
14×pow-sqr_binary64
13×exp-neg_binary64 distribute-neg-out_binary64
12×unpow1/3_binary64 distribute-lft-out_binary64
11×unpow3_binary64
10×distribute-lft-neg-out_binary64
div-exp_binary64 cube-unmult_binary64
log-rec_binary64 rem-exp-log_binary64 distribute-frac-neg_binary64
distribute-rgt-out_binary64
rem-sqrt-square_binary64 sub0-neg_binary64 +-rgt-identity_binary64
/-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 swap-sqr_binary64 count-2_binary64
pow-plus_binary64 rec-exp_binary64 prod-exp_binary64
unpow1/2_binary64 rem-3cbrt-lft_binary64
1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 mul-1-neg_binary64 distribute-rgt-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 unpow2_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
86 → 28
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01451183
12561179
26591165
317091131
445621121
551851121

prune26.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New22628
Fresh347
Picked011
Done011
Total251237
Error
0.1b
Counts
37 → 12
Compiler

Compiled 342 to 270 computations (21.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
0.5b
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
0.6b
(cbrt.f64 (/.f64 -1 a))
0.6b
(cbrt.f64 g)

rewrite124.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
42×cbrt-prod_binary64
38×add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64 *-un-lft-identity_binary64
22×associate-*l*_binary64
20×times-frac_binary64
11×pow1_binary64 add-exp-log_binary64
pow1/3_binary64 pow-prod-down_binary64 associate-*r*_binary64
unswap-sqr_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 prod-exp_binary64 cbrt-unprod_binary64
cbrt-div_binary64
div-inv_binary64 associate-*l/_binary64 *-commutative_binary64
associate-*r/_binary64
Counts
4 → 97
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
8.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
2.0ms
(cbrt.f64 (/.f64 -1 a))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1536 to 1121 computations (27% saved)

series132.0ms (4%)

Error
0.1b
Counts
4 → 15
Calls

4 calls:

65.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
24.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
17.0ms
(cbrt.f64 (/.f64 -1 a))
17.0ms
(cbrt.f64 g)
Compiler

Compiled 573 to 551 computations (3.8% saved)

simplify113.0ms (3.4%)

Algorithm
egg-herbie
Rules
324×*-commutative_binary64
288×log-prod_binary64
264×unswap-sqr_binary64
229×times-frac_binary64
222×associate-/l*_binary64
197×distribute-rgt-in_binary64
195×associate-/r*_binary64
186×distribute-lft-in_binary64
140×exp-sum_binary64
139×log-div_binary64
119×associate-*r*_binary64
117×associate-*l*_binary64
109×exp-prod_binary64
100×sqr-pow_binary64 associate-/l/_binary64
81×sub-neg_binary64
78×associate-*l/_binary64
69×div-sub_binary64 unsub-neg_binary64 associate-*r/_binary64
64×exp-diff_binary64
55×associate-/r/_binary64
48×cancel-sign-sub-inv_binary64
46×log-pow_binary64
38×cube-prod_binary64
36×associate-+r+_binary64
33×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
29×neg-mul-1_binary64 neg-sub0_binary64
28×swap-sqr_binary64 distribute-neg-in_binary64 associate-+l+_binary64
26×pow-sqr_binary64
21×associate-+r-_binary64
18×+-commutative_binary64
17×*-rgt-identity_binary64
15×distribute-rgt-neg-out_binary64
13×exp-neg_binary64 distribute-neg-out_binary64
12×*-lft-identity_binary64 distribute-frac-neg_binary64
11×log-rec_binary64 associate-+l-_binary64
10×unpow1/3_binary64 associate--r+_binary64
exp-to-pow_binary64 rem-sqrt-square_binary64 distribute-lft-neg-out_binary64 distribute-rgt-out_binary64 associate--r-_binary64
cube-unmult_binary64 distribute-lft-out_binary64
rem-exp-log_binary64 count-2_binary64 associate--l-_binary64
/-rgt-identity_binary64 sub0-neg_binary64
unpow3_binary64 cube-mult_binary64 +-rgt-identity_binary64
remove-double-neg_binary64 --rgt-identity_binary64 associate--l+_binary64
prod-exp_binary64
unpow1/2_binary64 pow-plus_binary64 rec-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 mul-1-neg_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 div0_binary64 distribute-rgt-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-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
112 → 63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721583
13241572
28591538
317751456
445231456
549581456

prune53.0ms (1.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New56763
Fresh189
Picked101
Done022
Total581775
Error
0.0b
Counts
75 → 17
Compiler

Compiled 920 to 680 computations (26.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
0.6b
(cbrt.f64 g)
0.7b
(cbrt.f64 (*.f64 a 2))

rewrite75.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×cbrt-prod_binary64
24×times-frac_binary64
21×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
associate-/l*_binary64
add-exp-log_binary64
associate-/r*_binary64
pow1_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
pow1/3_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64
Counts
3 → 66
Calls

3 calls:

7.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
2.0ms
(cbrt.f64 (*.f64 a 2))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 923 to 548 computations (40.6% saved)

series94.0ms (2.8%)

Error
0.0b
Counts
3 → 12
Calls

3 calls:

55.0ms
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
18.0ms
(cbrt.f64 (*.f64 a 2))
15.0ms
(cbrt.f64 g)
Compiler

Compiled 393 to 374 computations (4.8% saved)

simplify116.0ms (3.5%)

Algorithm
egg-herbie
Rules
637×associate-/r*_binary64
447×associate-*l*_binary64
345×associate-/r/_binary64
327×associate-*l/_binary64
270×log-div_binary64
203×associate-*r/_binary64
176×log-prod_binary64
164×distribute-rgt-in_binary64
155×distribute-lft-in_binary64
132×exp-prod_binary64 associate-/l*_binary64
124×exp-sum_binary64
106×sub-neg_binary64
81×log-pow_binary64 associate-/l/_binary64
77×times-frac_binary64
76×exp-diff_binary64
74×cancel-sign-sub-inv_binary64
68×div-sub_binary64
64×unsub-neg_binary64
58×*-commutative_binary64
52×sqr-pow_binary64
50×unswap-sqr_binary64
48×associate-*r*_binary64
42×distribute-rgt-neg-in_binary64
39×distribute-lft-neg-in_binary64
32×neg-sub0_binary64
30×exp-to-pow_binary64 neg-mul-1_binary64
27×distribute-neg-in_binary64
25×associate-+r-_binary64
19×associate-+r+_binary64
18×log-rec_binary64 distribute-rgt-neg-out_binary64 +-commutative_binary64
16×distribute-neg-frac_binary64 associate-+l-_binary64
15×distribute-neg-out_binary64
14×distribute-lft-out_binary64
13×unpow1/3_binary64 exp-neg_binary64
12×cube-div_binary64 distribute-lft-neg-out_binary64 associate-+l+_binary64
11×*-rgt-identity_binary64
10×pow-sqr_binary64 associate--r+_binary64
associate--r-_binary64 associate--l-_binary64
unpow3_binary64 pow-plus_binary64 cube-unmult_binary64 /-rgt-identity_binary64 sub0-neg_binary64
rem-exp-log_binary64 cube-prod_binary64 distribute-frac-neg_binary64
+-rgt-identity_binary64 distribute-rgt-out_binary64 associate--l+_binary64
rem-sqrt-square_binary64 remove-double-neg_binary64 --rgt-identity_binary64 swap-sqr_binary64 count-2_binary64
*-lft-identity_binary64
cube-mult_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64
rec-exp_binary64 prod-exp_binary64 1-exp_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-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 unpow2_binary64 unpow1/2_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 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
78 → 30
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01301290
12221224
25101201
316011164
445041160
549321160
649451160

prune18.0ms (0.5%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New26430
Fresh31114
Picked011
Done022
Total291847
Error
0.0b
Counts
47 → 18
Compiler

Compiled 240 to 156 computations (35% saved)

regimes1.2s (35.5%)

Accuracy

Total 0.8b remaining (93.8%)

Threshold costs 0.8b (93.8%)

Compiler

Compiled 12018 to 10594 computations (11.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11516
21416

end1.0ms (0%)

Compiler

Compiled 10 to 10 computations (0% saved)

sample785.0ms (23.7%)

Algorithm
intervals
Results
236.0ms8000×body128valid
Compiler

Compiled 251 to 232 computations (7.6% saved)

Profiling

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