Details

Time bar (total: 1.7s)

analyze98.0ms (5.6%)

Algorithm
search
egg-herbie
Rules
71×distribute-rgt-in_binary64
53×unsub-neg_binary64
46×distribute-lft-in_binary64
38×associate-*r*_binary64
37×sub-neg_binary64
34×cancel-sign-sub-inv_binary64 associate-*l*_binary64
22×neg-mul-1_binary64 +-lft-identity_binary64
21×neg-sub0_binary64
19×associate--r+_binary64
17×distribute-lft-neg-out_binary64
15×sub0-neg_binary64 distribute-rgt-neg-out_binary64 distribute-rgt-neg-in_binary64 associate-+l-_binary64
12×mul0-rgt_binary64 mul0-lft_binary64
--rgt-identity_binary64 *-commutative_binary64
+-commutative_binary64
remove-double-neg_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64
associate-+l+_binary64 associate-+r+_binary64
*-rgt-identity_binary64 *-lft-identity_binary64 swap-sqr_binary64 distribute-neg-in_binary64 distribute-lft-neg-in_binary64 associate--r-_binary64
associate--l+_binary64
sqr-neg_binary64
1-exp_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-rgt-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 unswap-sqr_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 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--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
12120
24120
37820
416720
519120
621420
734220
833620
932320
1032120
1127420
022
122
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
25%74.9%0.1%5
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify18.0ms (1%)

Algorithm
egg-herbie
Rules
35×distribute-rgt-in_binary64
25×unsub-neg_binary64 sub-neg_binary64
22×distribute-lft-in_binary64
21×associate-*r*_binary64
20×associate-*l*_binary64
19×cancel-sign-sub-inv_binary64
16×neg-mul-1_binary64
15×neg-sub0_binary64
12×+-lft-identity_binary64 distribute-rgt-neg-in_binary64 associate--r+_binary64
10×sub0-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-neg-out_binary64 associate-+l-_binary64
distribute-rgt-neg-out_binary64
+-commutative_binary64
--rgt-identity_binary64 *-commutative_binary64
*-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64
distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
swap-sqr_binary64 distribute-neg-in_binary64 associate--r-_binary64 associate--l+_binary64
1-exp_binary64 sqr-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 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 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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 +-rgt-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 unswap-sqr_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 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--l-_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11610
23110
35610
411510
513710
615110
721810
823110
922810
1022710
1118410

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.1b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 x (-.f64 1 (*.f64 x y)))

rewrite32.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64 associate-*r*_binary64
sub-neg_binary64 distribute-rgt-in_binary64 cancel-sign-sub-inv_binary64 distribute-lft-in_binary64 associate-*r/_binary64
pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64
Counts
1 → 24
Calls

1 calls:

6.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))
Compiler

Compiled 322 to 167 computations (48.1% saved)

series26.0ms (1.5%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

22.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))
Compiler

Compiled 129 to 115 computations (10.9% saved)

simplify75.0ms (4.3%)

Algorithm
egg-herbie
Rules
554×unsub-neg_binary64
551×distribute-neg-out_binary64
313×associate-*l*_binary64
293×unswap-sqr_binary64
269×*-commutative_binary64
239×associate-*r*_binary64
211×associate-+l+_binary64
172×cancel-sign-sub-inv_binary64
165×neg-sub0_binary64
159×exp-prod_binary64
155×neg-mul-1_binary64
122×associate-+r+_binary64
112×times-frac_binary64 distribute-rgt-neg-out_binary64
108×distribute-rgt-in_binary64
105×distribute-lft-neg-out_binary64
101×distribute-lft-in_binary64
100×sqr-pow_binary64
96×distribute-rgt-neg-in_binary64
90×distribute-lft-neg-in_binary64
64×sub-neg_binary64
59×distribute-neg-in_binary64
51×exp-sum_binary64
42×cube-prod_binary64
30×+-commutative_binary64
28×*-lft-identity_binary64 cancel-sign-sub_binary64
26×exp-diff_binary64
25×swap-sqr_binary64
22×log-prod_binary64
21×associate-+l-_binary64
20×*-rgt-identity_binary64
13×rem-sqrt-square_binary64 sub0-neg_binary64 pow-sqr_binary64
12×distribute-lft-out_binary64 associate-+r-_binary64
11×unpow3_binary64 cube-unmult_binary64
10×div-sub_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out_binary64 associate-/l*_binary64
unpow1/2_binary64 +-rgt-identity_binary64 difference-of-squares_binary64
pow-plus_binary64
sqr-neg_binary64 difference-of-sqr-1_binary64
exp-neg_binary64 cube-mult_binary64 mul-1-neg_binary64 distribute-neg-frac_binary64
log-pow_binary64 cube-neg_binary64
distribute-frac-neg_binary64 distribute-rgt-out--_binary64
remove-double-neg_binary64 difference-of-sqr--1_binary64 count-2_binary64
unpow2_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64 --rgt-identity_binary64 distribute-lft-out--_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-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 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
36 → 28
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056441
1132399
2387398
31161396
42026396
54803396
65098396

prune15.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New22628
Fresh000
Picked011
Done000
Total22729
Error
0.0b
Counts
29 → 7
Compiler

Compiled 268 to 118 computations (56% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite52.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1283 to 425 computations (66.9% saved)

series78.0ms (4.5%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
19.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
Compiler

Compiled 532 to 391 computations (26.5% saved)

simplify105.0ms (6%)

Algorithm
egg-herbie
Rules
586×log-prod_binary64
416×sqr-pow_binary64
335×associate-*l*_binary64
309×*-commutative_binary64
277×distribute-rgt-neg-in_binary64
257×distribute-lft-neg-in_binary64
227×associate-*r*_binary64
188×exp-prod_binary64
161×log-pow_binary64
149×cube-prod_binary64
128×pow-sqr_binary64
124×unswap-sqr_binary64
111×swap-sqr_binary64
104×associate-/l*_binary64
81×cancel-sign-sub-inv_binary64
75×associate-+l+_binary64
69×associate-+r+_binary64
61×distribute-rgt-in_binary64
60×distribute-lft-out_binary64
57×distribute-lft-in_binary64
54×neg-sub0_binary64
53×neg-mul-1_binary64
48×distribute-rgt-out_binary64
45×+-commutative_binary64
43×pow-plus_binary64 rem-sqrt-square_binary64
41×times-frac_binary64 sub-neg_binary64
37×associate-/r/_binary64
35×associate-*r/_binary64
32×unpow3_binary64
31×*-rgt-identity_binary64 *-lft-identity_binary64 associate-/l/_binary64
29×count-2_binary64
27×cube-mult_binary64
24×associate-/r*_binary64
17×log-div_binary64 cube-div_binary64 distribute-neg-frac_binary64
13×cube-unmult_binary64 distribute-rgt1-in_binary64
11×distribute-rgt-neg-out_binary64
10×unpow1/2_binary64
distribute-lft-neg-out_binary64 distribute-lft1-in_binary64
unpow2_binary64 associate-*l/_binary64
unpow1_binary64
unpow1/3_binary64
exp-sqrt_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64
exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_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 pow-base-0_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-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
85 → 50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056718
197666
2308646
31135632
42034548
53257548
64939548
74873548

prune21.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48250
Fresh055
Picked101
Done011
Total49857
Error
0.0b
Counts
57 → 8
Compiler

Compiled 557 to 285 computations (48.8% saved)

localize16.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.7b
(cbrt.f64 (cbrt.f64 x))
0.7b
(cbrt.f64 (cbrt.f64 x))
0.7b
(cbrt.f64 (cbrt.f64 x))
0.9b
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite55.0ms (3.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
36×cbrt-prod_binary64
14×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
unpow-prod-down_binary64
pow1_binary64 add-exp-log_binary64
pow1/3_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
pow-unpow_binary64
pow-pow_binary64
pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64
Counts
4 → 66
Calls

4 calls:

4.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
2.0ms
(cbrt.f64 (cbrt.f64 x))
1.0ms
(cbrt.f64 (cbrt.f64 x))
1.0ms
(cbrt.f64 (cbrt.f64 x))
Compiler

Compiled 1772 to 630 computations (64.4% saved)

series105.0ms (6%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

30.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
24.0ms
(cbrt.f64 (cbrt.f64 x))
22.0ms
(cbrt.f64 (cbrt.f64 x))
22.0ms
(cbrt.f64 (cbrt.f64 x))
Compiler

Compiled 788 to 526 computations (33.2% saved)

simplify82.0ms (4.7%)

Algorithm
egg-herbie
Rules
658×distribute-rgt-in_binary64
556×distribute-lft-in_binary64
387×sqr-pow_binary64
275×*-commutative_binary64
255×unswap-sqr_binary64
205×cube-prod_binary64
172×log-prod_binary64 exp-prod_binary64
135×pow-sqr_binary64
105×associate-*l*_binary64
94×associate-/l*_binary64
92×associate-*r*_binary64
90×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
76×associate-+l+_binary64
74×distribute-rgt-out_binary64
62×distribute-lft-out_binary64
61×pow-plus_binary64
60×associate-+r+_binary64
56×swap-sqr_binary64
46×log-pow_binary64
41×cube-unmult_binary64
38×unpow3_binary64
34×rem-sqrt-square_binary64
33×cube-mult_binary64
32×times-frac_binary64
31×associate-/l/_binary64
28×associate-/r*_binary64
21×associate-*r/_binary64
16×associate-/r/_binary64
14×unpow2_binary64
13×*-rgt-identity_binary64
12×unpow1/2_binary64 unpow1_binary64 neg-sub0_binary64 cancel-sign-sub-inv_binary64
10×neg-mul-1_binary64
rem-3cbrt-rft_binary64 *-lft-identity_binary64
count-2_binary64
sub-neg_binary64 distribute-rgt1-in_binary64 associate-*l/_binary64
/-rgt-identity_binary64
unpow1/3_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64
1-exp_binary64 rem-3cbrt-lft_binary64 sub0-neg_binary64 --rgt-identity_binary64 distribute-lft1-in_binary64 associate-+l-_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-rec_binary64 log-div_binary64 pow-base-0_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 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_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-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 unsub-neg_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 difference-of-squares_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-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
78 → 34
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068889
1127800
2253791
3637786
41251773
52328773
64822773

prune18.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh066
Picked011
Done011
Total34842
Error
0.0b
Counts
42 → 8
Compiler

Compiled 588 to 273 computations (53.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 (*.f64 x x) y))
9.2b
(*.f64 (*.f64 x x) y)

rewrite37.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
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 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 cancel-sign-sub-inv_binary64
Counts
2 → 31
Calls

2 calls:

6.0ms
(*.f64 (*.f64 x x) y)
3.0ms
(-.f64 x (*.f64 (*.f64 x x) y))
Compiler

Compiled 400 to 107 computations (73.3% saved)

series41.0ms (2.3%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

23.0ms
(-.f64 x (*.f64 (*.f64 x x) y))
16.0ms
(*.f64 (*.f64 x x) y)
Compiler

Compiled 213 to 187 computations (12.2% saved)

simplify115.0ms (6.6%)

Algorithm
egg-herbie
Rules
466×associate-*r*_binary64
377×unsub-neg_binary64
366×distribute-rgt-neg-in_binary64
337×distribute-lft-neg-in_binary64
309×unswap-sqr_binary64
305×cancel-sign-sub-inv_binary64
302×distribute-rgt-in_binary64
265×distribute-lft-in_binary64
242×times-frac_binary64
199×sub-neg_binary64
177×neg-mul-1_binary64
171×neg-sub0_binary64
139×sqr-pow_binary64
131×exp-prod_binary64
96×pow-sqr_binary64
91×associate-*l*_binary64
89×*-commutative_binary64
80×mul0-rgt_binary64 mul0-lft_binary64
78×distribute-rgt-out_binary64
73×log-prod_binary64
69×exp-sum_binary64
62×cube-prod_binary64
49×associate-+l+_binary64
45×associate-+r+_binary64
42×distribute-rgt-neg-out_binary64
40×distribute-lft-neg-out_binary64
38×distribute-rgt-out--_binary64 distribute-lft-out_binary64
34×+-rgt-identity_binary64
28×unpow3_binary64
24×exp-diff_binary64 *-lft-identity_binary64 +-commutative_binary64
22×pow-plus_binary64 cube-mult_binary64
21×div-sub_binary64
20×rem-sqrt-square_binary64 swap-sqr_binary64
19×difference-of-squares_binary64
17×log-pow_binary64 *-rgt-identity_binary64 distribute-rgt1-in_binary64
16×+-lft-identity_binary64
14×distribute-lft-out--_binary64
12×sub0-neg_binary64
11×cube-unmult_binary64
10×unpow1/2_binary64
associate-/l*_binary64
sqr-neg_binary64 associate-/r*_binary64 associate-+l-_binary64
distribute-lft1-in_binary64 associate-+r-_binary64
cube-neg_binary64 count-2_binary64 associate--r+_binary64
unpow2_binary64 remove-double-neg_binary64 associate--l+_binary64
unpow1_binary64 div-exp_binary64 prod-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 mul-1-neg_binary64 --rgt-identity_binary64 distribute-neg-in_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-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 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 associate-/r/_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
49 → 28
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063530
1147503
2462503
31386503
43800503
54276503
64929503
74709503

prune8.0ms (0.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New28028
Fresh055
Picked011
Done022
Total28836
Error
0.0b
Counts
36 → 8
Compiler

Compiled 116 to 44 computations (62.1% saved)

regimes130.0ms (7.5%)

Accuracy

Total 0.1b remaining (72.9%)

Threshold costs 0.1b (72.9%)

Compiler

Compiled 1275 to 875 computations (31.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
sub-neg_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64
cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64
1-exp_binary64 distribute-lft-neg-out_binary64 distribute-lft-neg-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 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_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11610
22510
33110
43510
53610
63510

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample575.0ms (33.1%)

Algorithm
intervals
Results
198.0ms8000×body128valid
2.0ms90×body128invalid
Compiler

Compiled 135 to 104 computations (23% saved)

Profiling

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