Details

Time bar (total: 2.2s)

analyze291.0ms (13.4%)

Algorithm
search
egg-herbie
Rules
24×+-commutative_binary64
22×distribute-rgt-in_binary64
18×*-commutative_binary64
16×associate-+r+_binary64
14×distribute-lft-in_binary64 associate-*l*_binary64 associate-+l+_binary64
13×associate-*r*_binary64
10×distribute-rgt-out_binary64
*-rgt-identity_binary64 *-lft-identity_binary64
distribute-rgt1-in_binary64
distribute-lft1-in_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 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 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-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
01640
13840
27040
38540
49440
511640
610040
712940
812940
913640
1013440
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
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.4%11.4%12
61.3%24.7%14%13
65%19.9%15.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms30×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify14.0ms (0.6%)

Algorithm
egg-herbie
Rules
associate-*l*_binary64 associate-*r*_binary64
+-commutative_binary64
distribute-rgt-in_binary64 *-commutative_binary64
*-rgt-identity_binary64 *-lft-identity_binary64
distribute-lft-in_binary64
associate-+l+_binary64 associate-+r+_binary64
distribute-rgt-out_binary64
1-exp_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 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 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 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-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
0710
11610
22210
32910
43310
53910
63510
74710
84310
95410
105210
115410
125210

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite31.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 associate-*r*_binary64
associate-*l*_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 flip3-+_binary64 associate-*r/_binary64 flip-+_binary64 associate-+r+_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-lft-out_binary64 *-commutative_binary64 sum-log_binary64 +-commutative_binary64
Counts
2 → 36
Calls

2 calls:

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

Compiled 464 to 130 computations (72% saved)

series69.0ms (3.2%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

32.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
27.0ms
(*.f64 y (+.f64 z x))
Compiler

Compiled 426 to 335 computations (21.4% saved)

simplify99.0ms (4.6%)

Algorithm
egg-herbie
Rules
560×distribute-rgt-in_binary64
550×distribute-lft-in_binary64
430×associate-*l*_binary64
338×associate-*r*_binary64
299×sub-neg_binary64
238×+-commutative_binary64
235×distribute-rgt-out_binary64
223×distribute-rgt-neg-in_binary64
187×distribute-lft-neg-in_binary64
183×distribute-rgt-out--_binary64
157×distribute-neg-in_binary64
138×unsub-neg_binary64
134×cancel-sign-sub-inv_binary64 associate--r+_binary64
127×distribute-lft-out--_binary64
104×unswap-sqr_binary64
100×*-commutative_binary64
94×associate-+l+_binary64
92×distribute-lft-out_binary64
85×associate--l+_binary64
81×sqr-pow_binary64
80×associate-+r+_binary64
58×neg-sub0_binary64
56×neg-mul-1_binary64
47×associate-+l-_binary64
46×distribute-lft-neg-out_binary64
42×associate-+r-_binary64
37×exp-prod_binary64 *-lft-identity_binary64 distribute-rgt-neg-out_binary64
34×*-rgt-identity_binary64
29×exp-sum_binary64
23×sub0-neg_binary64
22×+-rgt-identity_binary64
18×pow-sqr_binary64
16×swap-sqr_binary64
14×cancel-sign-sub_binary64
12×log-prod_binary64 distribute-neg-out_binary64
11×unpow3_binary64 distribute-rgt1-in_binary64
10×cube-prod_binary64 distribute-lft1-in_binary64
unpow1/2_binary64
cube-unmult_binary64
difference-of-squares_binary64
pow-plus_binary64
exp-diff_binary64
cube-mult_binary64
rem-sqrt-square_binary64 associate-/l*_binary64 associate--r-_binary64
prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-neg_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-cube_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-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 --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 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--l-_binary64
Counts
69 → 53
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074662
1199641
2684641
32350641
43606641
54975641
64971641

prune18.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51253
Fresh000
Picked011
Done000
Total51354
Error
0.0b
Counts
54 → 3
Compiler

Compiled 340 to 104 computations (69.4% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 z x))
0.0b
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x))))
0.1b
(*.f64 y (sqrt.f64 (+.f64 x z)))
0.2b
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x)))

rewrite80.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
16×sqrt-div_binary64 *-un-lft-identity_binary64
15×add-sqr-sqrt_binary64
14×associate-*r*_binary64
13×sqrt-prod_binary64
12×pow1_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×add-cube-cbrt_binary64 associate-*r/_binary64
flip3-+_binary64 flip-+_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 frac-times_binary64 associate-*l*_binary64
distribute-lft-out_binary64
associate-*l/_binary64 *-commutative_binary64 unswap-sqr_binary64
sum-log_binary64 +-commutative_binary64 pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
Counts
4 → 82
Calls

4 calls:

15.0ms
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x)))
8.0ms
(*.f64 y (sqrt.f64 (+.f64 x z)))
3.0ms
(sqrt.f64 (+.f64 z x))
3.0ms
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x))))
Compiler

Compiled 1645 to 358 computations (78.2% saved)

series119.0ms (5.5%)

Error
0.0b
Counts
4 → 52
Calls

4 calls:

32.0ms
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x))))
32.0ms
(*.f64 y (sqrt.f64 (+.f64 x z)))
26.0ms
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 z x)))
19.0ms
(sqrt.f64 (+.f64 z x))
Compiler

Compiled 1185 to 869 computations (26.7% saved)

simplify116.0ms (5.3%)

Algorithm
egg-herbie
Rules
666×distribute-rgt-in_binary64
646×distribute-lft-in_binary64
329×*-commutative_binary64
294×associate--r+_binary64
247×associate--l+_binary64
199×associate-*l*_binary64
193×unsub-neg_binary64
158×cancel-sign-sub-inv_binary64
148×associate-*r*_binary64
144×neg-mul-1_binary64
140×distribute-rgt-neg-in_binary64
139×distribute-neg-in_binary64
137×neg-sub0_binary64
113×distribute-lft-neg-in_binary64
97×associate-+l+_binary64
90×sub-neg_binary64
85×associate-+l-_binary64
77×associate-+r-_binary64
76×associate-+r+_binary64
72×distribute-rgt-out_binary64
64×sqr-pow_binary64
43×exp-prod_binary64
40×distribute-lft-neg-out_binary64
39×distribute-rgt-out--_binary64
36×+-commutative_binary64
35×*-lft-identity_binary64
33×swap-sqr_binary64
31×unswap-sqr_binary64
28×*-rgt-identity_binary64
26×distribute-rgt-neg-out_binary64
21×exp-sum_binary64 cube-prod_binary64
19×log-prod_binary64
12×rem-sqrt-square_binary64
11×pow-sqr_binary64
+-rgt-identity_binary64
sub0-neg_binary64 distribute-lft-out_binary64 associate-/l*_binary64
unpow3_binary64 unpow1/2_binary64 associate--r-_binary64
rem-square-sqrt_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
pow-plus_binary64 cube-mult_binary64 distribute-rgt1-in_binary64 associate-/r*_binary64
cube-unmult_binary64 count-2_binary64 associate-/l/_binary64 associate-*r/_binary64
unpow2_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 distribute-lft1-in_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 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 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 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 associate-*l/_binary64 associate--l-_binary64
Counts
134 → 92
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01601600
13621542
211131519
331411519
448211519
549501519

prune31.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh011
Picked011
Done011
Total91495
Error
0b
Counts
95 → 4
Compiler

Compiled 897 to 283 computations (68.5% saved)

localize18.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x z))) (cbrt.f64 (sqrt.f64 (+.f64 x z))))
0.3b
(cbrt.f64 (sqrt.f64 (+.f64 x z)))
0.3b
(cbrt.f64 (sqrt.f64 (+.f64 x z)))
0.3b
(cbrt.f64 (sqrt.f64 (+.f64 z x)))

rewrite106.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
69×cbrt-prod_binary64
44×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
40×sqrt-prod_binary64
22×add-cube-cbrt_binary64
18×sqrt-div_binary64 cbrt-div_binary64
14×swap-sqr_binary64
11×pow1_binary64
10×associate-*l*_binary64 associate-*r*_binary64
pow1/3_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 unswap-sqr_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 associate-*l/_binary64 associate-*r/_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 120
Calls

4 calls:

15.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x z))) (cbrt.f64 (sqrt.f64 (+.f64 x z))))
4.0ms
(cbrt.f64 (sqrt.f64 (+.f64 z x)))
4.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x z)))
4.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x z)))
Compiler

Compiled 3317 to 613 computations (81.5% saved)

series112.0ms (5.1%)

Error
0b
Counts
4 → 28
Calls

4 calls:

32.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x z))) (cbrt.f64 (sqrt.f64 (+.f64 x z))))
23.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x z)))
22.0ms
(cbrt.f64 (sqrt.f64 (+.f64 z x)))
21.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x z)))
Compiler

Compiled 2172 to 1418 computations (34.7% saved)

simplify230.0ms (10.6%)

Algorithm
egg-herbie
Rules
379×distribute-rgt-in_binary64
351×distribute-lft-in_binary64
345×associate-*l*_binary64
207×associate-*r*_binary64
199×unswap-sqr_binary64
156×exp-sum_binary64
154×log-prod_binary64
136×unsub-neg_binary64
122×cancel-sign-sub-inv_binary64
121×exp-prod_binary64
111×*-commutative_binary64
101×neg-mul-1_binary64 neg-sub0_binary64
89×sqr-pow_binary64
63×associate-+l+_binary64
62×associate-+r+_binary64
54×log-div_binary64 sub-neg_binary64
52×cube-prod_binary64
46×div-sub_binary64
44×distribute-rgt-neg-in_binary64
43×exp-diff_binary64
41×log-pow_binary64
40×distribute-lft-neg-in_binary64
36×associate--r+_binary64
35×+-commutative_binary64
33×associate-+l-_binary64
32×swap-sqr_binary64
31×rem-sqrt-square_binary64
29×associate-/r*_binary64 associate-+r-_binary64
28×pow-sqr_binary64 distribute-lft-neg-out_binary64 distribute-rgt-out_binary64
27×*-lft-identity_binary64
25×pow-plus_binary64 cube-unmult_binary64
24×distribute-rgt-neg-out_binary64
23×distribute-lft-out_binary64
20×unpow3_binary64 *-rgt-identity_binary64
14×log-rec_binary64 difference-of-squares_binary64
13×exp-to-pow_binary64 associate-/l/_binary64 associate-/l*_binary64
11×unpow1/3_binary64
10×exp-neg_binary64 associate--r-_binary64
prod-exp_binary64
sub0-neg_binary64 +-lft-identity_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64
rem-exp-log_binary64 associate-*r/_binary64
cube-div_binary64 +-rgt-identity_binary64 count-2_binary64
unpow2_binary64 cube-mult_binary64 times-frac_binary64
unpow1/2_binary64 distribute-lft-out--_binary64 associate-/r/_binary64 associate--l+_binary64
rem-3cbrt-lft_binary64
unpow1_binary64 rec-exp_binary64 rem-cbrt-cube_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 associate--l-_binary64
log-E_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 +-inverses_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 /-rgt-identity_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate-*l/_binary64
Counts
148 → 93
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01572735
12722721
25602429
315712405
441752254
548742254
649782254
749942254
849252254

prune41.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done022
Total93497
Error
0b
Counts
97 → 4
Compiler

Compiled 1691 to 384 computations (77.3% saved)

localize2.0ms (0.1%)

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify9.0ms (0.4%)

Algorithm
egg-herbie
Rules
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-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64 +-commutative_binary64
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Compiler

Compiled 0 to 0 computations (0% saved)

regimes150.0ms (6.9%)

Accuracy

Total 0.0b remaining (18.8%)

Threshold costs 0.0b (18.8%)

Compiler

Compiled 1168 to 898 computations (23.1% 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
0710
11010
21010

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample600.0ms (27.6%)

Algorithm
intervals
Results
198.0ms8000×body128valid
13.0ms593×body128invalid
Compiler

Compiled 67 to 62 computations (7.5% saved)

Profiling

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