Details

Time bar (total: 2.7s)

analyze310.0ms (11.4%)

Algorithm
search
egg-herbie
Rules
78×distribute-rgt-in_binary64 associate-*l*_binary64
62×distribute-lft-in_binary64
58×unsub-neg_binary64
55×sub-neg_binary64
50×distribute-lft-neg-in_binary64
43×distribute-rgt-neg-in_binary64
39×associate-*r*_binary64
35×*-commutative_binary64
30×mul0-rgt_binary64 mul0-lft_binary64
21×cancel-sign-sub-inv_binary64
20×+-commutative_binary64
19×neg-mul-1_binary64 neg-sub0_binary64
18×sub0-neg_binary64 --rgt-identity_binary64 associate--r+_binary64 associate-+l-_binary64
distribute-rgt-neg-out_binary64
unswap-sqr_binary64
distribute-lft-neg-out_binary64
swap-a-b
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 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_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 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-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 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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
16448
216848
325348
435348
533648
635348
745948
841448
934848
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
25%74.9%0.1%6
25%74.9%0.1%7
25%62.4%12.6%8
37.4%43.7%18.9%9
37.4%43.7%18.9%10
49.9%31.2%18.9%11
56.2%20.3%23.5%12
56.2%20.3%23.5%13
61.6%14.8%23.5%14
Symmetry

(sort a b)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample22.0ms (0.8%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify17.0ms (0.6%)

Algorithm
egg-herbie
Rules
35×associate-*l*_binary64
24×sub-neg_binary64 distribute-rgt-in_binary64
18×unsub-neg_binary64 distribute-lft-in_binary64
17×distribute-lft-neg-in_binary64
16×associate-*r*_binary64
15×distribute-rgt-neg-in_binary64
14×mul0-rgt_binary64 mul0-lft_binary64
12×*-commutative_binary64
10×+-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate--r+_binary64 associate-+l-_binary64
cancel-sign-sub-inv_binary64
distribute-rgt-neg-out_binary64
unswap-sqr_binary64 distribute-lft-neg-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 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 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_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 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-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 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
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
12112
25512
39712
412912
513812
614712
717312
818212
917612
1014212

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
15.8b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.8b
(*.f64 (*.f64 (*.f64 a a) b) b)
10.2b
(*.f64 (*.f64 a a) b)

rewrite54.0ms (2%)

Algorithm
rewrite-expression-head
Error
4.3b
Rules
16×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
associate-*r*_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64
unswap-sqr_binary64
Counts
2 → 40
Calls

2 calls:

7.0ms
(*.f64 (*.f64 (*.f64 a a) b) b)
5.0ms
(*.f64 (*.f64 a a) b)
Compiler

Compiled 504 to 144 computations (71.4% saved)

series33.0ms (1.2%)

Error
15.8b
Counts
2 → 12
Calls

2 calls:

16.0ms
(*.f64 (*.f64 (*.f64 a a) b) b)
14.0ms
(*.f64 (*.f64 a a) b)
Compiler

Compiled 208 to 218 computations (-4.8% saved)

simplify63.0ms (2.3%)

Algorithm
egg-herbie
Rules
379×associate-*l/_binary64
359×unswap-sqr_binary64
358×associate-/l/_binary64
342×associate-+l+_binary64
320×associate-/l*_binary64
272×sqr-pow_binary64
266×associate-/r/_binary64
226×associate-+r+_binary64
218×*-commutative_binary64
162×associate-*l*_binary64
147×associate-/r*_binary64
122×pow-sqr_binary64
96×associate-*r*_binary64
94×exp-prod_binary64
89×log-prod_binary64 distribute-lft-out_binary64
76×distribute-rgt-in_binary64
73×cube-prod_binary64
57×distribute-lft-in_binary64
54×times-frac_binary64
46×rem-sqrt-square_binary64
38×distribute-rgt-out_binary64
33×swap-sqr_binary64 associate-*r/_binary64
28×*-rgt-identity_binary64
26×unpow3_binary64
22×*-lft-identity_binary64
19×cube-mult_binary64 +-commutative_binary64
15×distribute-rgt1-in_binary64
13×count-2_binary64
11×pow-plus_binary64
10×unpow1/2_binary64 cube-unmult_binary64
log-pow_binary64 distribute-lft1-in_binary64
log-div_binary64 cube-div_binary64
unpow2_binary64 unpow1_binary64 exp-sqrt_binary64
exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_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 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 prod-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-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 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
52 → 37
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057645
1138516
2474480
3775464
41511461
52739461
65066461

prune20.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New30737
Fresh000
Picked011
Done000
Total30838
Error
0.1b
Counts
38 → 8
Compiler

Compiled 239 to 127 computations (46.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

rewrite32.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
pow2_binary64 pow-prod-down_binary64 pow-prod-up_binary64 pow-plus_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 sqr-abs_binary64 pow-sqr_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
1 → 26
Calls

1 calls:

3.0ms
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))
Compiler

Compiled 387 to 83 computations (78.6% saved)

series15.0ms (0.6%)

Error
0.1b
Counts
1 → 6
Calls

1 calls:

14.0ms
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))
Compiler

Compiled 91 to 104 computations (-14.3% saved)

simplify83.0ms (3%)

Algorithm
egg-herbie
Rules
478×distribute-rgt-in_binary64
455×distribute-lft-in_binary64
360×associate-/l*_binary64
318×*-commutative_binary64
306×sqr-pow_binary64
253×associate-*l*_binary64
249×log-div_binary64
233×associate-/l/_binary64
221×associate-/r/_binary64
198×unswap-sqr_binary64
173×swap-sqr_binary64
171×associate-*r*_binary64
160×log-prod_binary64
153×exp-prod_binary64
130×cube-prod_binary64
108×pow-sqr_binary64
54×associate-+l+_binary64
51×associate-+r+_binary64
43×*-rgt-identity_binary64 *-lft-identity_binary64
40×+-commutative_binary64
38×times-frac_binary64
33×rem-sqrt-square_binary64
31×associate-*r/_binary64
29×log-pow_binary64
28×unpow3_binary64 pow-plus_binary64
27×distribute-rgt-out_binary64
25×distribute-lft-out_binary64
24×count-2_binary64
22×cube-mult_binary64
18×associate-/r*_binary64
17×log-rec_binary64
cube-unmult_binary64 cube-div_binary64 associate-*l/_binary64
unpow1/2_binary64
unpow2_binary64
unpow1_binary64
exp-lft-sqr_binary64 exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 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 prod-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-neg_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
32 → 27
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033388
160326
2180311
3743293
41417254
52234230
64828230
74981230
85054230

prune21.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New25227
Fresh336
Picked011
Done011
Total28735
Error
0.0b
Counts
35 → 7
Compiler

Compiled 205 to 112 computations (45.4% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
0.3b
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
11.0b
(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite96.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
21×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-exp-log_binary64 sqrt-prod_binary64
unpow-prod-down_binary64
associate-*r*_binary64
pow1_binary64 unswap-sqr_binary64 associate-*l*_binary64
add-cbrt-cube_binary64
sqr-pow_binary64
add-log-exp_binary64 pow-unpow_binary64 prod-exp_binary64
pow1/2_binary64 sqrt-pow1_binary64 pow-to-exp_binary64 pow-exp_binary64 pow-prod-up_binary64
rem-sqrt-square_binary64 pow-pow_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
3 → 63
Calls

3 calls:

7.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
2.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
1.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))
Compiler

Compiled 1152 to 425 computations (63.1% saved)

series62.0ms (2.3%)

Error
0.0b
Counts
3 → 18
Calls

3 calls:

32.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
14.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))
13.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
Compiler

Compiled 442 to 366 computations (17.2% saved)

simplify94.0ms (3.4%)

Algorithm
egg-herbie
Rules
616×associate-/l/_binary64
441×sqr-pow_binary64
433×*-commutative_binary64
354×associate-*l*_binary64
323×distribute-rgt-in_binary64
316×distribute-lft-in_binary64
237×associate-*r*_binary64
179×associate-/l*_binary64
176×log-prod_binary64
174×exp-prod_binary64
160×cube-prod_binary64
155×pow-sqr_binary64
144×times-frac_binary64
115×swap-sqr_binary64
72×distribute-lft-out_binary64
70×distribute-rgt-out_binary64
63×associate-/r/_binary64
62×associate-/r*_binary64
60×unswap-sqr_binary64
55×associate-*r/_binary64
52×pow-plus_binary64
47×count-2_binary64
44×rem-sqrt-square_binary64
42×*-lft-identity_binary64
40×unpow3_binary64
39×*-rgt-identity_binary64
37×cube-mult_binary64
33×log-pow_binary64
28×associate-+l+_binary64
24×associate-+r+_binary64
20×associate-*l/_binary64
16×cube-unmult_binary64
12×+-commutative_binary64
/-rgt-identity_binary64
unpow2_binary64 unpow1/2_binary64 pow-base-1_binary64
distribute-rgt1-in_binary64
distribute-lft1-in_binary64
unpow1_binary64
1-exp_binary64 exp-1-e_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_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 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 prod-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-3cbrt-lft_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
81 → 37
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0761283
11381218
23651112
310311106
416941091
533941085
650081085

prune34.0ms (1.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New34337
Fresh134
Picked011
Done022
Total35944
Error
0.0b
Counts
44 → 9
Compiler

Compiled 493 to 222 computations (55% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
0.3b
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
0.3b
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
19.2b
(cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))

rewrite154.0ms (5.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
32×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
22×unpow-prod-down_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
12×sqr-pow_binary64 unswap-sqr_binary64
11×add-exp-log_binary64
10×associate-*l*_binary64
associate-*r*_binary64
pow1_binary64 pow-unpow_binary64
add-cbrt-cube_binary64
add-log-exp_binary64
pow-to-exp_binary64 pow-exp_binary64 prod-exp_binary64
pow1/3_binary64 pow-pow_binary64
pow-plus_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 91
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
2.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
2.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
2.0ms
(cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
Compiler

Compiled 2129 to 1083 computations (49.1% saved)

series97.0ms (3.6%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

34.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
32.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
15.0ms
(*.f64 (cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
13.0ms
(cbrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
Compiler

Compiled 676 to 557 computations (17.6% saved)

simplify128.0ms (4.7%)

Algorithm
egg-herbie
Rules
471×associate-*l*_binary64
449×sqr-pow_binary64
380×associate-*r*_binary64
277×distribute-rgt-in_binary64
256×distribute-lft-in_binary64
205×log-prod_binary64
192×associate-/l*_binary64
188×exp-prod_binary64
184×cube-prod_binary64
155×pow-sqr_binary64
144×swap-sqr_binary64
141×times-frac_binary64
136×associate-/l/_binary64
117×*-commutative_binary64
95×associate-/r/_binary64
90×associate-/r*_binary64
80×associate-*r/_binary64
75×+-commutative_binary64
67×*-lft-identity_binary64 unswap-sqr_binary64
63×*-rgt-identity_binary64
62×unpow3_binary64
56×pow-plus_binary64
55×associate-+l+_binary64
54×rem-sqrt-square_binary64
50×cube-mult_binary64
48×associate-+r+_binary64
34×log-pow_binary64
24×distribute-rgt-out_binary64
23×distribute-lft-out_binary64 count-2_binary64
19×cube-unmult_binary64
16×log-div_binary64 cube-div_binary64
unpow1/2_binary64
/-rgt-identity_binary64
unpow2_binary64 pow-base-1_binary64 associate-*l/_binary64
unpow1_binary64
distribute-rgt1-in_binary64 distribute-lft1-in_binary64
exp-sqrt_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-abs_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 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-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-neg_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_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-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
115 → 65
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0922182
11592018
24652002
315971869
420811865
538321861
649151861

prune68.0ms (2.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New63265
Fresh145
Picked011
Done033
Total641074
Error
0.0b
Counts
74 → 10
Compiler

Compiled 1090 to 470 computations (56.9% saved)

regimes602.0ms (22.1%)

Accuracy

Total 0.3b remaining (84.1%)

Threshold costs 0.3b (84.1%)

Compiler

Compiled 6466 to 4306 computations (33.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64 neg-mul-1_binary64 neg-sub0_binary64 sub-neg_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 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-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
01011
11611
21811
31911
41711

end6.0ms (0.2%)

Remove

(sort a b)

Compiler

Compiled 21 to 24 computations (-14.3% saved)

sample677.0ms (24.9%)

Algorithm
intervals
Results
214.0ms8000×body128valid
17.0ms522×body128invalid
Compiler

Compiled 173 to 140 computations (19.1% saved)

Profiling

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