Details

Time bar (total: 3.4s)

analyze398.0ms (11.9%)

Algorithm
search
egg-herbie
Rules
22×*-commutative_binary64 +-commutative_binary64
20×distribute-lft-out_binary64
15×associate-+l+_binary64
14×distribute-rgt-out_binary64 associate-+r+_binary64
distribute-rgt-in_binary64
swap-d2-d3
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-lft-out--_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02252
14840
29140
310540
410740
510740
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
12.5%87.4%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
45.2%51.1%3.7%10
57.7%33.5%8.7%11
59.7%29.4%10.9%12
62%25%13%13
68.3%17.4%14.4%14
Symmetry

(sort d2 d3)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample27.0ms (0.8%)

Algorithm
intervals
Results
7.0ms238×body128valid
1.0msbody1024valid
0.0msbody512valid
0.0msbody256valid
0.0ms13×body128invalid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify10.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64 +-commutative_binary64
distribute-lft-out_binary64
associate-+l+_binary64 associate-+r+_binary64
distribute-rgt-out_binary64
distribute-rgt-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 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-lft-out--_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01013
11910
23310
34310
44310
54310

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 25 to 23 computations (8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 d1 3) (*.f64 d1 d2)) (*.f64 d1 d3))
0.0b
(+.f64 (*.f64 d1 3) (*.f64 d1 d2))

rewrite42.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
add-log-exp_binary64
sum-log_binary64
distribute-lft-out_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 *-un-lft-identity_binary64 flip-+_binary64 +-commutative_binary64
associate-+l+_binary64
Counts
2 → 26
Calls

2 calls:

6.0ms
(+.f64 (+.f64 (*.f64 d1 3) (*.f64 d1 d2)) (*.f64 d1 d3))
4.0ms
(+.f64 (*.f64 d1 3) (*.f64 d1 d2))
Compiler

Compiled 526 to 241 computations (54.2% saved)

series58.0ms (1.7%)

Error
0.1b
Counts
2 → 24
Calls

2 calls:

33.0ms
(+.f64 (+.f64 (*.f64 d1 3) (*.f64 d1 d2)) (*.f64 d1 d3))
17.0ms
(+.f64 (*.f64 d1 3) (*.f64 d1 d2))
Compiler

Compiled 406 to 328 computations (19.2% saved)

simplify89.0ms (2.7%)

Algorithm
egg-herbie
Rules
600×associate-*l*_binary64
474×associate-*r*_binary64
453×sub-neg_binary64
395×distribute-rgt-in_binary64
370×cancel-sign-sub-inv_binary64
356×distribute-lft-in_binary64
264×+-commutative_binary64
156×unswap-sqr_binary64
135×distribute-rgt-neg-in_binary64
125×distribute-rgt-out--_binary64
119×*-commutative_binary64
112×distribute-lft-out_binary64
108×distribute-lft-neg-in_binary64
100×associate--r+_binary64
94×distribute-rgt-out_binary64
91×associate-+l+_binary64
89×unsub-neg_binary64
88×associate-+l-_binary64
87×neg-mul-1_binary64
85×associate--l+_binary64
84×neg-sub0_binary64
71×associate-+r-_binary64
67×associate-+r+_binary64
64×distribute-neg-in_binary64
57×sqr-pow_binary64
50×distribute-lft-out--_binary64
45×distribute-lft-neg-out_binary64
44×prod-exp_binary64
42×exp-prod_binary64
39×exp-sum_binary64
20×unpow3_binary64
17×distribute-rgt-neg-out_binary64
13×pow-plus_binary64 cube-prod_binary64 +-rgt-identity_binary64
12×swap-sqr_binary64
11×pow-sqr_binary64
10×cube-unmult_binary64
cube-mult_binary64
sub0-neg_binary64
log-prod_binary64 associate--r-_binary64
difference-of-squares_binary64
exp-diff_binary64
exp-lft-cube_binary64
associate-/l/_binary64 associate-*r/_binary64
1-exp_binary64 cancel-sign-sub_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_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 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--l-_binary64
Counts
50 → 35
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060581
1203539
2779533
32964530
44338530
54964530
64955530

prune23.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New31435
Fresh101
Picked101
Done000
Total33437
Error
0.0b
Counts
37 → 4
Compiler

Compiled 359 to 233 computations (35.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 d1 (+.f64 d2 d3))
0.0b
(+.f64 (*.f64 d1 3) (*.f64 d1 (+.f64 d2 d3)))

rewrite42.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 associate-*r*_binary64
associate-*l*_binary64
flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 associate-+r+_binary64 distribute-lft-in_binary64 associate-*r/_binary64
sum-log_binary64 +-commutative_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
2 → 37
Calls

2 calls:

6.0ms
(*.f64 d1 (+.f64 d2 d3))
4.0ms
(+.f64 (*.f64 d1 3) (*.f64 d1 (+.f64 d2 d3)))
Compiler

Compiled 557 to 235 computations (57.8% saved)

series65.0ms (1.9%)

Error
0.0b
Counts
2 → 30
Calls

2 calls:

31.0ms
(+.f64 (*.f64 d1 3) (*.f64 d1 (+.f64 d2 d3)))
25.0ms
(*.f64 d1 (+.f64 d2 d3))
Compiler

Compiled 500 to 411 computations (17.8% saved)

simplify78.0ms (2.3%)

Algorithm
egg-herbie
Rules
804×sub-neg_binary64
645×distribute-rgt-in_binary64
619×distribute-lft-in_binary64
321×associate--r+_binary64
293×cancel-sign-sub-inv_binary64
255×associate--l+_binary64
232×*-commutative_binary64
161×unsub-neg_binary64
149×distribute-neg-in_binary64
136×neg-mul-1_binary64
133×distribute-rgt-out_binary64
132×neg-sub0_binary64
129×associate-+l+_binary64
118×associate-+r+_binary64
116×distribute-rgt-neg-in_binary64
106×associate-*l*_binary64
89×distribute-lft-neg-in_binary64 associate-*r*_binary64
85×distribute-lft-out_binary64 associate-+l-_binary64
63×sqr-pow_binary64
54×distribute-rgt-out--_binary64
52×exp-prod_binary64 distribute-lft-neg-out_binary64
41×*-lft-identity_binary64
39×distribute-rgt-neg-out_binary64
38×*-rgt-identity_binary64
34×exp-sum_binary64
32×unswap-sqr_binary64
31×+-commutative_binary64
25×cube-prod_binary64 swap-sqr_binary64
21×distribute-lft-out--_binary64
17×log-prod_binary64
16×prod-exp_binary64
10×unpow3_binary64
pow-sqr_binary64 associate-+r-_binary64
unpow1/2_binary64 +-rgt-identity_binary64
cube-mult_binary64
associate--r-_binary64
sub0-neg_binary64 difference-of-squares_binary64
cube-unmult_binary64 associate-/l*_binary64
pow-plus_binary64 rem-sqrt-square_binary64
exp-lft-cube_binary64 1-exp_binary64 exp-1-e_binary64 distribute-rgt1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-*r/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_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 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_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-lft1-in_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--l-_binary64
Counts
67 → 42
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079663
1229630
2864627
33007624
44502624
55459624

prune24.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42042
Fresh033
Picked011
Done000
Total42446
Error
0.0b
Counts
46 → 4
Compiler

Compiled 423 to 227 computations (46.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 3))))
0.6b
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
0.6b
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
0.6b
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))

rewrite121.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×associate-*r/_binary64
18×cbrt-div_binary64
11×pow1_binary64
10×add-sqr-sqrt_binary64
pow1/3_binary64 flip3-+_binary64 flip-+_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
cbrt-prod_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 associate-*l/_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 72
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 3))))
4.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
4.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
4.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
Compiler

Compiled 2200 to 1460 computations (33.6% saved)

series203.0ms (6%)

Error
0.0b
Counts
4 → 34
Calls

4 calls:

52.0ms
(*.f64 (cbrt.f64 (*.f64 d1 (+.f64 d2 3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 3))))
38.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
38.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
36.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
Compiler

Compiled 3168 to 2521 computations (20.4% saved)

simplify173.0ms (5.1%)

Algorithm
egg-herbie
Rules
491×unswap-sqr_binary64
360×associate-*l*_binary64
301×exp-prod_binary64
283×associate-*r*_binary64
241×times-frac_binary64
194×log-prod_binary64
173×exp-sum_binary64
139×*-commutative_binary64
127×sqr-pow_binary64
119×unsub-neg_binary64
118×sub-neg_binary64
110×distribute-rgt-in_binary64
102×distribute-lft-in_binary64
97×log-pow_binary64
89×exp-diff_binary64
78×div-sub_binary64
56×prod-exp_binary64
48×neg-sub0_binary64 +-commutative_binary64
44×exp-to-pow_binary64
35×neg-mul-1_binary64
34×log-div_binary64 swap-sqr_binary64 associate-+r-_binary64
33×associate-/r*_binary64
31×associate-/l*_binary64
28×pow-sqr_binary64
27×associate-+r+_binary64
26×unpow1/3_binary64 associate-+l+_binary64
22×pow-plus_binary64
21×exp-lft-sqr_binary64 exp-neg_binary64 cancel-sign-sub-inv_binary64 associate-+l-_binary64
20×cube-prod_binary64 *-rgt-identity_binary64 associate--l+_binary64
17×unpow3_binary64 *-lft-identity_binary64
16×+-rgt-identity_binary64
15×div-exp_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 associate--r-_binary64
13×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
12×cube-unmult_binary64
11×sub0-neg_binary64
10×distribute-lft-out_binary64
log-rec_binary64 rem-exp-log_binary64 distribute-rgt-out_binary64 associate-*l/_binary64
unpow2_binary64 distribute-neg-out_binary64
rem-sqrt-square_binary64 associate-*r/_binary64
unpow1/2_binary64
unpow1_binary64 distribute-neg-in_binary64 associate--l-_binary64 associate--r+_binary64
remove-double-neg_binary64 --rgt-identity_binary64
distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-/r/_binary64
rem-3cbrt-lft_binary64 difference-of-squares_binary64 distribute-neg-frac_binary64 count-2_binary64
log-E_binary64 1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-inverses_binary64 distribute-rgt1-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 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 associate-/l/_binary64
Counts
106 → 80
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01582179
13482026
27771816
324781550
446101478
549551478
649011474
748891474

prune73.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New77380
Fresh112
Picked101
Done011
Total79584
Error
0.0b
Counts
84 → 5
Compiler

Compiled 1625 to 1051 computations (35.3% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
0.6b
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
0.6b
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
0.6b
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))

rewrite91.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
associate-*r/_binary64 cbrt-div_binary64
pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 flip3-+_binary64 flip-+_binary64 cbrt-prod_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 44
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
4.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
4.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
4.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
Compiler

Compiled 1848 to 1298 computations (29.8% saved)

series214.0ms (6.4%)

Error
0.0b
Counts
4 → 32
Calls

4 calls:

42.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
42.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
42.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
42.0ms
(cbrt.f64 (*.f64 d1 (+.f64 d2 3)))
Compiler

Compiled 3924 to 3101 computations (21% saved)

simplify95.0ms (2.8%)

Algorithm
egg-herbie
Rules
897×div-sub_binary64
484×distribute-rgt-in_binary64
412×distribute-lft-in_binary64
400×exp-sum_binary64
306×exp-diff_binary64
203×sub-neg_binary64
190×exp-prod_binary64
142×unsub-neg_binary64
135×log-prod_binary64
128×distribute-neg-in_binary64
105×associate-*l*_binary64
95×sqr-pow_binary64 *-commutative_binary64
93×associate-*r*_binary64 associate-+r+_binary64
92×associate--r+_binary64
80×associate--r-_binary64
76×associate-+r-_binary64
74×cancel-sign-sub-inv_binary64
59×cube-prod_binary64
55×associate-+l+_binary64
54×log-div_binary64
52×associate-+l-_binary64
51×+-commutative_binary64
50×unswap-sqr_binary64
43×distribute-rgt-out_binary64
41×neg-sub0_binary64 associate-/l/_binary64
40×associate--l+_binary64
39×exp-to-pow_binary64
38×neg-mul-1_binary64
33×distribute-neg-out_binary64
32×log-pow_binary64 times-frac_binary64
31×prod-exp_binary64 exp-neg_binary64
30×associate--l-_binary64
27×distribute-lft-out_binary64
25×pow-sqr_binary64
24×distribute-rgt-neg-in_binary64
22×sub0-neg_binary64
21×unpow1/3_binary64 distribute-rgt-neg-out_binary64
20×distribute-lft-neg-out_binary64
16×cube-unmult_binary64
14×unpow3_binary64 distribute-frac-neg_binary64 associate-/l*_binary64
11×rem-sqrt-square_binary64 distribute-lft-neg-in_binary64
10×rem-exp-log_binary64 --rgt-identity_binary64
log-rec_binary64 div-exp_binary64
cube-div_binary64
+-rgt-identity_binary64 distribute-rgt-out--_binary64
mul-1-neg_binary64 swap-sqr_binary64 distribute-neg-frac_binary64
pow-plus_binary64 cube-mult_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64
rem-log-exp_binary64 *-lft-identity_binary64 associate-*r/_binary64
*-rgt-identity_binary64 distribute-rgt1-in_binary64
rem-cube-cbrt_binary64 distribute-lft1-in_binary64
log-E_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 +-lft-identity_binary64 +-inverses_binary64 count-2_binary64 associate-/r/_binary64 associate-/r*_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 pow-base-0_binary64 unpow2_binary64 unpow1/2_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 /-rgt-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 cancel-sign-sub_binary64 associate-*l/_binary64
Counts
76 → 44
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0761140
11651124
22831040
3656856
41742856
53971856
64905856

prune45.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh033
Picked011
Done011
Total44549
Error
0.0b
Counts
49 → 5
Compiler

Compiled 967 to 639 computations (33.9% saved)

regimes690.0ms (20.6%)

Accuracy

Total 0.0b remaining (50.8%)

Threshold costs 0.0b (50.8%)

Compiler

Compiled 6499 to 5269 computations (18.9% 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 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
01016
11516
21516

end6.0ms (0.2%)

Remove

(sort d2 d3)

Compiler

Compiled 33 to 27 computations (18.2% saved)

sample740.0ms (22.1%)

Algorithm
intervals
Results
233.0ms7498×body128valid
18.0ms637×body128invalid
17.0ms168×body1024valid
17.0ms214×body512valid
7.0ms120×body256valid
Compiler

Compiled 167 to 148 computations (11.4% saved)

Profiling

Loading profile data...