Details

Time bar (total: 3.6s)

analyze47.0ms (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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 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)

sample14.0ms (0.4%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify10.0ms (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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 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
13.8b
Counts
1 → 1
Compiler

Compiled 6 to 6 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 g (*.f64 2 a))
13.2b
(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite45.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
add-exp-log_binary64 add-cbrt-cube_binary64 cbrt-prod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64
associate-/l*_binary64
pow1_binary64 add-log-exp_binary64 div-inv_binary64 div-exp_binary64 cbrt-undiv_binary64
pow1/3_binary64 cbrt-div_binary64 prod-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 associate-/r*_binary64
Counts
2 → 37
Calls

2 calls:

4.0ms
(/.f64 g (*.f64 2 a))
3.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
Compiler

Compiled 400 to 270 computations (32.5% saved)

series67.0ms (1.9%)

Error
3.7b
Counts
2 → 12
Calls

2 calls:

46.0ms
(cbrt.f64 (/.f64 g (*.f64 2 a)))
14.0ms
(/.f64 g (*.f64 2 a))
Compiler

Compiled 305 to 293 computations (3.9% saved)

simplify116.0ms (3.2%)

Algorithm
egg-herbie
Rules
537×associate-/r/_binary64
530×associate-*l*_binary64
394×associate-*r*_binary64
327×exp-sum_binary64
271×div-sub_binary64
253×*-commutative_binary64
224×times-frac_binary64
222×exp-diff_binary64
207×associate-/l*_binary64
152×exp-prod_binary64
141×associate-+r+_binary64
139×associate-/r*_binary64
119×prod-exp_binary64 associate-+r-_binary64
111×log-prod_binary64
93×log-div_binary64
91×sub-neg_binary64
88×associate-+l-_binary64
85×associate-/l/_binary64
84×associate--r+_binary64
83×associate-*l/_binary64
72×distribute-rgt-in_binary64
70×associate-*r/_binary64
66×associate--r-_binary64
62×distribute-lft-in_binary64 associate--l+_binary64
58×associate-+l+_binary64
53×associate--l-_binary64
45×unsub-neg_binary64
44×sqr-pow_binary64
42×div-exp_binary64
32×exp-to-pow_binary64
31×log-pow_binary64
26×neg-mul-1_binary64 neg-sub0_binary64
20×cancel-sign-sub-inv_binary64 distribute-neg-out_binary64
18×unpow1/3_binary64 +-commutative_binary64
17×log-rec_binary64
14×exp-neg_binary64
13×distribute-neg-in_binary64
12×pow-plus_binary64 unswap-sqr_binary64
11×distribute-lft-out_binary64
10×rec-exp_binary64 cube-unmult_binary64 sub0-neg_binary64 pow-sqr_binary64 distribute-rgt-neg-in_binary64
unpow3_binary64 distribute-rgt-neg-out_binary64
rem-exp-log_binary64 cube-prod_binary64 +-rgt-identity_binary64 distribute-lft-neg-in_binary64
swap-sqr_binary64 distribute-frac-neg_binary64
cube-div_binary64 distribute-lft-neg-out_binary64
--rgt-identity_binary64
pow-base-1_binary64 unpow-1_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 distribute-rgt-out--_binary64 count-2_binary64
log-E_binary64 unpow2_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 rem-3cbrt-lft_binary64 fabs-mul_binary64 fabs-sqr_binary64 *-lft-identity_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 pow-base-0_binary64 unpow1/2_binary64 unpow0_binary64 unpow1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 mul-1-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-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64
Counts
49 → 33
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0101616
1195571
2484564
31775530
44125506
54897506
64751504
74865504
85045504

prune27.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New25833
Fresh000
Picked101
Done000
Total26834
Error
0.2b
Counts
34 → 8
Compiler

Compiled 338 to 254 computations (24.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite89.0ms (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:

9.0ms
(*.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
0.2b
Counts
3 → 12
Calls

3 calls:

47.0ms
(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
18.0ms
(cbrt.f64 (/.f64 1/2 a))
17.0ms
(cbrt.f64 g)
Compiler

Compiled 403 to 384 computations (4.7% saved)

simplify94.0ms (2.6%)

Algorithm
egg-herbie
Rules
390×exp-diff_binary64
379×associate-*l*_binary64
314×associate-*r*_binary64
260×associate-/r*_binary64
243×associate-+l+_binary64
194×associate--r+_binary64
172×distribute-rgt-in_binary64
171×times-frac_binary64
166×*-commutative_binary64
157×log-div_binary64 distribute-lft-in_binary64
148×log-prod_binary64
145×exp-prod_binary64
135×associate-/l*_binary64
124×exp-sum_binary64
110×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
64×sqr-pow_binary64
62×cancel-sign-sub-inv_binary64
61×div-sub_binary64
58×distribute-rgt-neg-in_binary64
48×distribute-lft-neg-in_binary64
47×associate-/l/_binary64
42×*-rgt-identity_binary64
38×*-lft-identity_binary64
35×distribute-neg-in_binary64
32×associate--l-_binary64
29×exp-to-pow_binary64 associate-*l/_binary64
28×neg-sub0_binary64
27×neg-mul-1_binary64
26×associate-+r+_binary64
24×log-pow_binary64 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 fabs-mul_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 swap-sqr_binary64
log-rec_binary64 rem-exp-log_binary64 rem-sqrt-square_binary64 distribute-frac-neg_binary64
distribute-rgt-out_binary64
sub0-neg_binary64 +-rgt-identity_binary64
/-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 count-2_binary64
pow-plus_binary64 rec-exp_binary64 prod-exp_binary64 fabs-sqr_binary64
unpow1/2_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64
1-exp_binary64 exp-1-e_binary64 cube-mult_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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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 → 41
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01451183
12561179
26591156
317061122
445721112
552021112

prune37.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New35641
Fresh167
Picked011
Done000
Total361349
Error
0.1b
Counts
49 → 13
Compiler

Compiled 561 to 408 computations (27.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 (sqrt.f64 1/2) a)
0.5b
(cbrt.f64 g)
0.6b
(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
1.0b
(cbrt.f64 (sqrt.f64 1/2))

rewrite122.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
36×times-frac_binary64
35×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
31×cbrt-prod_binary64
24×sqrt-prod_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
pow1_binary64 add-log-exp_binary64
pow1/3_binary64 associate-/r*_binary64
div-inv_binary64
cbrt-div_binary64 div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64
Counts
4 → 95
Calls

4 calls:

4.0ms
(/.f64 (sqrt.f64 1/2) a)
3.0ms
(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
2.0ms
(cbrt.f64 (sqrt.f64 1/2))
1.0ms
(cbrt.f64 g)
Compiler

Compiled 1598 to 1216 computations (23.9% saved)

series51.0ms (1.4%)

Error
0.1b
Counts
4 → 9
Calls

4 calls:

22.0ms
(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
15.0ms
(cbrt.f64 g)
9.0ms
(/.f64 (sqrt.f64 1/2) a)
0.0ms
(cbrt.f64 (sqrt.f64 1/2))
Compiler

Compiled 368 to 355 computations (3.5% saved)

simplify121.0ms (3.4%)

Algorithm
egg-herbie
Rules
536×div-exp_binary64
434×associate-/r*_binary64
418×associate-/r/_binary64
311×*-commutative_binary64
256×log-prod_binary64
247×exp-sum_binary64
241×exp-prod_binary64
229×sub-neg_binary64
177×div-sub_binary64
175×exp-diff_binary64
170×associate-*l*_binary64
136×associate-*r*_binary64
113×log-div_binary64 associate-/l*_binary64
94×unswap-sqr_binary64
85×associate-*l/_binary64
81×log-pow_binary64
78×associate-+r+_binary64
71×associate-/l/_binary64
65×prod-exp_binary64 cube-prod_binary64 associate-+l-_binary64
64×times-frac_binary64
61×associate-+l+_binary64
60×associate-*r/_binary64 associate-+r-_binary64
52×sqr-pow_binary64
47×unpow3_binary64 pow-sqr_binary64
43×neg-mul-1_binary64 neg-sub0_binary64 distribute-rgt-in_binary64
42×distribute-lft-in_binary64
41×distribute-rgt-neg-in_binary64
40×+-commutative_binary64
39×cube-div_binary64 distribute-lft-neg-in_binary64
38×associate--l+_binary64
35×fabs-mul_binary64 associate--l-_binary64
28×unsub-neg_binary64
24×/-rgt-identity_binary64
23×pow-plus_binary64
21×exp-to-pow_binary64
20×cancel-sign-sub-inv_binary64
19×unpow1/3_binary64 rem-sqrt-square_binary64 swap-sqr_binary64
15×log-rec_binary64 cube-unmult_binary64
14×associate--r-_binary64 associate--r+_binary64
13×cube-mult_binary64 *-rgt-identity_binary64
12×fabs-sqr_binary64
10×rec-exp_binary64
rem-exp-log_binary64 --rgt-identity_binary64 +-rgt-identity_binary64
*-lft-identity_binary64 distribute-neg-frac_binary64 count-2_binary64
mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64
distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
rem-3cbrt-lft_binary64
exp-neg_binary64 div0_binary64
unpow2_binary64 pow-base-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 1-exp_binary64 rem-log-exp_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 +-inverses_binary64 remove-double-div_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 unpow1/2_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 sqr-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_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
Counts
104 → 54
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01351402
12041344
24581334
313921309
432771277
542591204
655091204

prune48.0ms (1.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New49554
Fresh11011
Picked101
Done011
Total511667
Error
0.0b
Counts
67 → 16
Compiler

Compiled 841 to 685 computations (18.5% saved)

localize9.0ms (0.2%)

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

rewrite119.0ms (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))
8.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
3.0ms
(cbrt.f64 g)
3.0ms
(cbrt.f64 (/.f64 -1 a))
Compiler

Compiled 1536 to 1121 computations (27% saved)

series129.0ms (3.6%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

63.0ms
(*.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
26.0ms
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
17.0ms
(cbrt.f64 (/.f64 -1 a))
15.0ms
(cbrt.f64 g)
Compiler

Compiled 573 to 551 computations (3.8% saved)

simplify132.0ms (3.7%)

Algorithm
egg-herbie
Rules
338×*-commutative_binary64
318×log-prod_binary64
289×unswap-sqr_binary64
231×associate-/r*_binary64
229×times-frac_binary64
223×associate-/l*_binary64
197×distribute-rgt-in_binary64
186×distribute-lft-in_binary64
145×log-div_binary64
140×exp-sum_binary64
121×exp-prod_binary64
119×associate-*r*_binary64
117×associate-*l*_binary64
114×associate-/l/_binary64
102×sqr-pow_binary64
81×sub-neg_binary64
71×log-pow_binary64
69×div-sub_binary64 unsub-neg_binary64
64×exp-diff_binary64
55×associate-/r/_binary64
51×cancel-sign-sub-inv_binary64
46×cube-prod_binary64
40×swap-sqr_binary64
38×distribute-rgt-neg-in_binary64
37×distribute-lft-neg-in_binary64
36×associate-+r+_binary64
29×neg-mul-1_binary64 neg-sub0_binary64 associate-+l+_binary64
28×distribute-neg-in_binary64
26×pow-sqr_binary64
21×associate-+r-_binary64
18×associate-*r/_binary64 +-commutative_binary64
17×*-rgt-identity_binary64 distribute-rgt-neg-out_binary64
14×fabs-mul_binary64 associate-*l/_binary64
13×exp-neg_binary64 rem-sqrt-square_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 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
fabs-sqr_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
log-E_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 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 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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 → 67
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721583
13241572
28591528
317681446
444361446
549861446
649241446

prune48.0ms (1.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New61667
Fresh41014
Picked101
Done011
Total661783
Error
0.0b
Counts
83 → 17
Compiler

Compiled 773 to 541 computations (30% saved)

regimes1.4s (37.7%)

Accuracy

Total 0.8b remaining (92.8%)

Threshold costs 0.8b (92.8%)

Compiler

Compiled 14534 to 13210 computations (9.1% 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 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
01323
11823
21723

end1.0ms (0%)

Compiler

Compiled 14 to 14 computations (0% saved)

sample799.0ms (22.3%)

Algorithm
intervals
Results
224.0ms8000×body128valid
Compiler

Compiled 270 to 249 computations (7.8% saved)

Profiling

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