Details

Time bar (total: 2.1s)

analyze290.0ms (13.5%)

Algorithm
search
egg-herbie
Rules
*-commutative_binary64
associate-*l*_binary64 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-/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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
13340
23740
33740
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
32.8%67.1%0.1%9
43.7%43.7%12.6%10
46.8%40.6%12.6%11
52.7%34.7%12.6%12
58.5%22.6%18.9%13
60.5%20.7%18.9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms28×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-*l*_binary64 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-/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
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
21310
31310

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y z) z))
0.2b
(*.f64 (*.f64 y z) z)

rewrite33.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64 associate-*r*_binary64
associate-*l*_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 (*.f64 y z) z)
3.0ms
(+.f64 x (*.f64 (*.f64 y z) z))
Compiler

Compiled 380 to 102 computations (73.2% saved)

series49.0ms (2.3%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

30.0ms
(+.f64 x (*.f64 (*.f64 y z) z))
15.0ms
(*.f64 (*.f64 y z) z)
Compiler

Compiled 259 to 266 computations (-2.7% saved)

simplify121.0ms (5.7%)

Algorithm
egg-herbie
Rules
556×distribute-rgt-in_binary64
470×distribute-lft-in_binary64
284×unswap-sqr_binary64
220×*-commutative_binary64
208×cancel-sign-sub-inv_binary64
193×unsub-neg_binary64
186×sub-neg_binary64
180×distribute-rgt-neg-in_binary64
168×log-prod_binary64
152×+-commutative_binary64
149×distribute-lft-neg-in_binary64
143×sqr-pow_binary64
137×distribute-rgt-out_binary64
122×associate-+l+_binary64
115×associate-*l*_binary64 associate-+r+_binary64
84×associate-*r*_binary64
83×neg-mul-1_binary64
77×times-frac_binary64
75×neg-sub0_binary64
74×distribute-neg-in_binary64
68×log-div_binary64
67×cube-prod_binary64
66×exp-prod_binary64
61×associate-+l-_binary64
55×pow-sqr_binary64
46×cancel-sign-sub_binary64
43×difference-of-squares_binary64 distribute-rgt-out--_binary64
42×mul0-rgt_binary64 mul0-lft_binary64
41×associate--r+_binary64
38×fabs-mul_binary64
36×swap-sqr_binary64
34×div-sub_binary64 associate-/l*_binary64
33×cube-div_binary64 sub0-neg_binary64
31×rem-sqrt-square_binary64
30×distribute-lft-out_binary64
27×distribute-neg-out_binary64
25×associate-/l/_binary64
23×unpow3_binary64
21×fabs-sqr_binary64 associate-*r/_binary64
20×remove-double-neg_binary64 associate-/r/_binary64 associate-+r-_binary64
18×*-rgt-identity_binary64
17×cube-mult_binary64
16×exp-sum_binary64
14×distribute-lft-neg-out_binary64 associate-/r*_binary64
13×exp-diff_binary64 *-lft-identity_binary64 +-rgt-identity_binary64
10×log-pow_binary64 associate--l+_binary64
unpow1/2_binary64 sqr-neg_binary64
cube-neg_binary64 distribute-neg-frac_binary64 count-2_binary64 associate--r-_binary64
pow-plus_binary64
log-rec_binary64 exp-sqrt_binary64 cube-unmult_binary64 distribute-rgt1-in_binary64 distribute-lft-out--_binary64
associate-*l/_binary64 associate--l-_binary64
unpow2_binary64 exp-lft-sqr_binary64 prod-exp_binary64 +-lft-identity_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64
unpow1_binary64 1-exp_binary64 exp-1-e_binary64 --rgt-identity_binary64 distribute-frac-neg_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64
Counts
53 → 42
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060534
1164510
2535507
3999505
42014505
54114505
64519505
74876505
84919505

prune16.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New38442
Fresh000
Picked011
Done000
Total38543
Error
0.0b
Counts
43 → 5
Compiler

Compiled 292 to 104 computations (64.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 z z) y))
7.4b
(*.f64 (*.f64 z z) y)

rewrite33.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 add-sqr-sqrt_binary64
pow-prod-down_binary64 prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64 *-un-lft-identity_binary64 associate-*r*_binary64
unswap-sqr_binary64 associate-*l*_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
2 → 30
Calls

2 calls:

6.0ms
(*.f64 (*.f64 z z) y)
3.0ms
(+.f64 x (*.f64 (*.f64 z z) y))
Compiler

Compiled 391 to 105 computations (73.1% saved)

series50.0ms (2.3%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

32.0ms
(+.f64 x (*.f64 (*.f64 z z) y))
15.0ms
(*.f64 (*.f64 z z) y)
Compiler

Compiled 259 to 266 computations (-2.7% saved)

simplify92.0ms (4.3%)

Algorithm
egg-herbie
Rules
674×unswap-sqr_binary64
462×associate-*l*_binary64
370×distribute-rgt-out_binary64
322×associate-*r*_binary64
276×cancel-sign-sub-inv_binary64
255×distribute-rgt-in_binary64
225×distribute-lft-in_binary64
210×distribute-rgt-neg-in_binary64
176×distribute-lft-neg-in_binary64
97×sqr-pow_binary64 associate-+l+_binary64
96×*-commutative_binary64
91×associate-+r+_binary64
82×unsub-neg_binary64
71×sub-neg_binary64
69×distribute-rgt-out--_binary64
63×log-prod_binary64
55×neg-sub0_binary64
54×neg-mul-1_binary64
53×*-lft-identity_binary64
50×*-rgt-identity_binary64
45×exp-prod_binary64
42×distribute-lft-out_binary64
36×cube-prod_binary64 distribute-lft-neg-out_binary64
33×+-commutative_binary64
22×pow-sqr_binary64
18×distribute-rgt-neg-out_binary64
14×unpow3_binary64 associate-+l-_binary64
12×sub0-neg_binary64 associate-/l*_binary64
11×log-pow_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate-+r-_binary64
10×swap-sqr_binary64 distribute-neg-out_binary64
distribute-neg-in_binary64
pow-plus_binary64 cube-mult_binary64 difference-of-squares_binary64
cube-unmult_binary64 +-rgt-identity_binary64 distribute-lft-out--_binary64
unpow1/2_binary64 exp-sum_binary64 rem-sqrt-square_binary64 distribute-rgt1-in_binary64 associate--r+_binary64
count-2_binary64
unpow2_binary64 unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 fabs-mul_binary64 remove-double-neg_binary64 distribute-lft1-in_binary64 associate-/l/_binary64 associate-*r/_binary64 associate--l+_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 --rgt-identity_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
54 → 35
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061546
1157519
2470519
31424519
43020519
54973519
64934519

prune11.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New34135
Fresh033
Picked011
Done011
Total34640
Error
0.0b
Counts
40 → 6
Compiler

Compiled 221 to 85 computations (61.5% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

7.4b
(*.f64 (*.f64 z z) y)
22.0b
(cbrt.f64 (*.f64 (*.f64 z z) y))
22.0b
(cbrt.f64 (*.f64 (*.f64 z z) y))
22.0b
(cbrt.f64 (*.f64 (*.f64 z z) y))

rewrite65.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64
pow1/3_binary64 cbrt-prod_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64
unswap-sqr_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
4 → 46
Calls

4 calls:

7.0ms
(cbrt.f64 (*.f64 (*.f64 z z) y))
6.0ms
(*.f64 (*.f64 z z) y)
4.0ms
(cbrt.f64 (*.f64 (*.f64 z z) y))
4.0ms
(cbrt.f64 (*.f64 (*.f64 z z) y))
Compiler

Compiled 1178 to 204 computations (82.7% saved)

series155.0ms (7.2%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

41.0ms
(cbrt.f64 (*.f64 (*.f64 z z) y))
41.0ms
(cbrt.f64 (*.f64 (*.f64 z z) y))
40.0ms
(cbrt.f64 (*.f64 (*.f64 z z) y))
16.0ms
(*.f64 (*.f64 z z) y)
Compiler

Compiled 1789 to 1059 computations (40.8% saved)

simplify80.0ms (3.7%)

Algorithm
egg-herbie
Rules
563×exp-sum_binary64
448×associate-*l*_binary64
346×*-commutative_binary64
344×div-sub_binary64
332×associate-*r*_binary64
261×exp-prod_binary64
260×exp-diff_binary64
194×unswap-sqr_binary64
174×associate-+r+_binary64
167×distribute-rgt-in_binary64
143×distribute-lft-in_binary64
124×log-prod_binary64
114×associate--r+_binary64
96×prod-exp_binary64
80×associate-+l+_binary64
75×associate-+r-_binary64
73×cube-prod_binary64 unsub-neg_binary64
71×sqr-pow_binary64
69×associate--l+_binary64
58×associate--r-_binary64
54×log-pow_binary64 sub-neg_binary64
45×associate-+l-_binary64
41×associate-/l*_binary64
39×exp-to-pow_binary64
38×distribute-neg-out_binary64 associate-*l/_binary64
35×exp-neg_binary64 +-commutative_binary64
32×cancel-sign-sub-inv_binary64
31×distribute-neg-in_binary64
29×log-div_binary64
22×neg-sub0_binary64 pow-sqr_binary64 associate--l-_binary64
21×distribute-rgt-neg-out_binary64
19×distribute-lft-neg-out_binary64 distribute-lft-out_binary64
18×pow-plus_binary64 associate-*r/_binary64
17×swap-sqr_binary64
16×unpow3_binary64 neg-mul-1_binary64
14×cube-div_binary64 distribute-rgt-neg-in_binary64
12×unpow1/3_binary64 cube-unmult_binary64 rem-sqrt-square_binary64 *-lft-identity_binary64
11×rem-exp-log_binary64 *-rgt-identity_binary64 distribute-lft-neg-in_binary64
10×cube-mult_binary64 associate-/r*_binary64
log-rec_binary64 exp-lft-sqr_binary64 distribute-frac-neg_binary64
div-exp_binary64
count-2_binary64
unpow2_binary64 unpow1/2_binary64 fabs-mul_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 distribute-lft-out--_binary64 associate-/l/_binary64
fabs-sqr_binary64 remove-double-neg_binary64 sub0-neg_binary64 distribute-rgt-out_binary64
unpow1_binary64 rem-cube-cbrt_binary64 distribute-rgt-out--_binary64
rec-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-log-exp_binary64 rem-3cbrt-lft_binary64 +-inverses_binary64 cancel-sign-sub_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 e-exp-1_binary64 exp-0_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 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-lft-identity_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 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/r/_binary64
Counts
70 → 56
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
079829
1165720
2442698
31312667
43287661
55001661

prune30.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh033
Picked011
Done022
Total56662
Error
0.0b
Counts
62 → 6
Compiler

Compiled 826 to 187 computations (77.4% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 (*.f64 z z) y) 3)))
0.2b
(pow.f64 (*.f64 (*.f64 z z) y) 3)
7.4b
(*.f64 (*.f64 z z) y)
26.0b
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z z) y) 3))

rewrite86.0ms (4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
15×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64
cbrt-prod_binary64 add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-log-exp_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
associate-*r*_binary64 pow-unpow_binary64 pow-pow_binary64 pow-exp_binary64 rem-cube-cbrt_binary64
unpow-prod-down_binary64 unpow3_binary64 cube-mult_binary64 cube-prod_binary64 sqr-pow_binary64
pow1/3_binary64 rem-cbrt-cube_binary64 unswap-sqr_binary64 associate-*l*_binary64 *-commutative_binary64 pow-to-exp_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 +-commutative_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (*.f64 z z) y)
6.0ms
(pow.f64 (*.f64 (*.f64 z z) y) 3)
5.0ms
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 (*.f64 z z) y) 3)))
2.0ms
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z z) y) 3))
Compiler

Compiled 1085 to 468 computations (56.9% saved)

series101.0ms (4.7%)

Error
0.0b
Counts
4 → 36
Calls

4 calls:

35.0ms
(+.f64 x (cbrt.f64 (pow.f64 (*.f64 (*.f64 z z) y) 3)))
23.0ms
(pow.f64 (*.f64 (*.f64 z z) y) 3)
18.0ms
(*.f64 (*.f64 z z) y)
17.0ms
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z z) y) 3))
Compiler

Compiled 572 to 565 computations (1.2% saved)

simplify92.0ms (4.3%)

Algorithm
egg-herbie
Rules
412×log-prod_binary64
397×exp-prod_binary64
328×associate-+l+_binary64
282×*-commutative_binary64
263×distribute-rgt-in_binary64
252×cube-prod_binary64
251×distribute-lft-in_binary64
231×unswap-sqr_binary64
215×sqr-pow_binary64 swap-sqr_binary64
167×distribute-rgt-neg-in_binary64
148×distribute-lft-neg-in_binary64
144×cancel-sign-sub-inv_binary64
126×associate-*l*_binary64
102×associate-*r*_binary64
98×unpow3_binary64
91×associate-/l*_binary64
66×distribute-rgt-out_binary64
43×pow-sqr_binary64
42×neg-sub0_binary64
41×neg-mul-1_binary64 sub-neg_binary64
38×log-pow_binary64
34×cube-mult_binary64
32×distribute-lft-out_binary64
24×pow-plus_binary64
18×fabs-mul_binary64 distribute-rgt-out--_binary64
16×distribute-lft-neg-out_binary64 count-2_binary64 associate-+r+_binary64 +-commutative_binary64
14×associate-+l-_binary64
12×*-rgt-identity_binary64 associate-/l/_binary64
11×cube-unmult_binary64 rem-sqrt-square_binary64 *-lft-identity_binary64 associate-+r-_binary64
10×unsub-neg_binary64 distribute-rgt-neg-out_binary64
unpow1/2_binary64
associate-*r/_binary64
distribute-lft-out--_binary64
fabs-sqr_binary64 +-rgt-identity_binary64
rem-cbrt-cube_binary64 sub0-neg_binary64 associate--r+_binary64
associate-*l/_binary64
unpow1_binary64 mul-1-neg_binary64 difference-of-squares_binary64 distribute-neg-in_binary64 associate-/r/_binary64
unpow2_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 fabs-fabs_binary64 sqr-abs_binary64 associate--l+_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64
Counts
109 → 74
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01061181
12151109
27741085
321171061
448191058
550591058

prune30.0ms (1.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh022
Picked011
Done033
Total74680
Error
0.0b
Counts
80 → 6
Compiler

Compiled 442 to 169 computations (61.8% saved)

regimes145.0ms (6.7%)

Accuracy

Total 0.1b remaining (72.1%)

Threshold costs 0.1b (72.1%)

Compiler

Compiled 1225 to 845 computations (31% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21010

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample612.0ms (28.5%)

Algorithm
intervals
Results
193.0ms8000×body128valid
24.0ms673×body128invalid
Compiler

Compiled 85 to 75 computations (11.8% saved)

Profiling

Loading profile data...