Details

Time bar (total: 3.6s)

analyze49.0ms (1.4%)

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 (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify9.0ms (0.2%)

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
17.5b
Counts
1 → 1
Compiler

Compiled 6 to 6 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

17.1b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite25.0ms (0.7%)

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)

series51.0ms (1.4%)

Error
6.0b
Counts
1 → 6
Calls

1 calls:

45.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 227 to 217 computations (4.4% saved)

simplify118.0ms (3.3%)

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

prune18.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New11718
Fresh000
Picked011
Done000
Total11819
Error
0.3b
Counts
19 → 8
Compiler

Compiled 239 to 186 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 (/.f64 1/2 a))

rewrite90.0ms (2.5%)

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)

series88.0ms (2.5%)

Error
0.3b
Counts
3 → 12
Calls

3 calls:

47.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
17.0ms
(cbrt.f64 (/.f64 1/2 a))
17.0ms
(cbrt.f64 g)
Compiler

Compiled 403 to 384 computations (4.7% saved)

simplify95.0ms (2.7%)

Algorithm
egg-herbie
Rules
390×exp-diff_binary64
339×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 → 40
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01451183
12561179
26591165
317091131
445621121
551851121

prune40.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New32840
Fresh066
Picked101
Done011
Total331548
Error
0.1b
Counts
48 → 15
Compiler

Compiled 589 to 416 computations (29.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.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))
0.5b
(cbrt.f64 g)
0.5b
(cbrt.f64 (/.f64 -1 a))

rewrite116.0ms (3.3%)

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))
9.0ms
(*.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)

series136.0ms (3.8%)

Error
0.1b
Counts
4 → 15
Calls

4 calls:

70.0ms
(*.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))
18.0ms
(cbrt.f64 (/.f64 -1 a))
17.0ms
(cbrt.f64 g)
Compiler

Compiled 573 to 551 computations (3.8% saved)

simplify110.0ms (3.1%)

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 associate-+l+_binary64
28×swap-sqr_binary64 distribute-neg-in_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

prune54.0ms (1.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New58563
Fresh4913
Picked011
Done011
Total621678
Error
0.1b
Counts
78 → 16
Compiler

Compiled 912 to 665 computations (27.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
0.5b
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 a)

rewrite88.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
22×cbrt-prod_binary64 add-sqr-sqrt_binary64
14×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×add-exp-log_binary64
pow1_binary64 associate-*l*_binary64 associate-*r*_binary64 times-frac_binary64 associate-/r*_binary64
add-cbrt-cube_binary64
pow1/3_binary64 add-log-exp_binary64 unswap-sqr_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 div-exp_binary64 cbrt-undiv_binary64
*-commutative_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64
Counts
4 → 77
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
6.0ms
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
1.0ms
(cbrt.f64 g)
1.0ms
(cbrt.f64 a)
Compiler

Compiled 986 to 530 computations (46.2% saved)

series110.0ms (3.1%)

Error
0.1b
Counts
4 → 15
Calls

4 calls:

51.0ms
(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
21.0ms
(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
16.0ms
(cbrt.f64 g)
15.0ms
(cbrt.f64 a)
Compiler

Compiled 497 to 474 computations (4.6% saved)

simplify86.0ms (2.4%)

Algorithm
egg-herbie
Rules
979×times-frac_binary64
499×associate-/l*_binary64
359×associate-*l*_binary64
297×associate-/r*_binary64
216×associate-/l/_binary64
186×log-div_binary64 associate-*l/_binary64
153×log-prod_binary64
137×associate-*r/_binary64
130×associate-/r/_binary64
101×exp-prod_binary64
96×exp-sum_binary64
63×associate-*r*_binary64
54×*-commutative_binary64
38×exp-diff_binary64
34×sub-neg_binary64
33×sqr-pow_binary64
30×distribute-lft-neg-in_binary64
29×distribute-rgt-neg-in_binary64
27×*-rgt-identity_binary64
24×cancel-sign-sub-inv_binary64 distribute-lft-in_binary64
23×distribute-rgt-in_binary64
18×neg-sub0_binary64 /-rgt-identity_binary64
17×log-rec_binary64 unswap-sqr_binary64
16×neg-mul-1_binary64
15×cube-div_binary64
14×log-pow_binary64 exp-neg_binary64
13×unpow3_binary64 *-lft-identity_binary64
12×unpow1/3_binary64
11×cube-prod_binary64 div-sub_binary64
unsub-neg_binary64
swap-sqr_binary64 distribute-neg-in_binary64 +-commutative_binary64
cube-unmult_binary64 rem-sqrt-square_binary64 pow-sqr_binary64 distribute-neg-frac_binary64 distribute-lft-neg-out_binary64
exp-to-pow_binary64 distribute-rgt-neg-out_binary64
rec-exp_binary64 distribute-neg-out_binary64 associate-+l-_binary64
associate--l+_binary64
pow-plus_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 distribute-frac-neg_binary64 distribute-lft-out_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate-+r-_binary64
unpow1/2_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 associate-+l+_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 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 div-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-mult_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 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 associate--r+_binary64 associate-+r+_binary64
Counts
92 → 60
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01351152
12701061
29461042
343371023
449561023

prune41.0ms (1.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New54660
Fresh5813
Picked011
Done112
Total601676
Error
0.0b
Counts
76 → 16
Compiler

Compiled 571 to 353 computations (38.2% saved)

regimes1.4s (39.5%)

Accuracy

Total 0.8b remaining (93.5%)

Threshold costs 0.8b (93.5%)

Compiler

Compiled 12575 to 11015 computations (12.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-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 1-exp_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
11216
21216

end1.0ms (0%)

Compiler

Compiled 10 to 10 computations (0% saved)

sample774.0ms (21.8%)

Algorithm
intervals
Results
222.0ms8000×body128valid
Compiler

Compiled 232 to 219 computations (5.6% saved)

Profiling

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