Details

Time bar (total: 2.8s)

analyze118.0ms (4.2%)

Algorithm
search
egg-herbie
Rules
164×distribute-rgt-in_binary64
100×distribute-lft-in_binary64
94×unsub-neg_binary64
91×cancel-sign-sub-inv_binary64
69×associate-*l*_binary64
65×associate-*r*_binary64
59×sub-neg_binary64
45×associate--r+_binary64
44×distribute-rgt-neg-out_binary64
39×distribute-lft-neg-out_binary64
35×neg-mul-1_binary64
34×+-lft-identity_binary64
30×neg-sub0_binary64
29×associate-+l-_binary64
28×distribute-rgt-neg-in_binary64
24×sub0-neg_binary64
22×mul0-rgt_binary64 mul0-lft_binary64
19×*-commutative_binary64
16×associate-+r+_binary64
13×distribute-lft-neg-in_binary64
12×distribute-neg-in_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64 associate-+l+_binary64
10×associate--r-_binary64
+-commutative_binary64
--rgt-identity_binary64
*-rgt-identity_binary64 *-lft-identity_binary64
distribute-rgt-out_binary64 associate--l+_binary64
remove-double-neg_binary64
swap-sqr_binary64
sqr-neg_binary64 distribute-lft-out--_binary64
1-exp_binary64 +-rgt-identity_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 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-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
12220
26320
311120
420420
527020
634720
763820
856920
953520
1053520
1153520
1246820
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%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify21.0ms (0.8%)

Algorithm
egg-herbie
Rules
84×distribute-rgt-in_binary64
50×cancel-sign-sub-inv_binary64 distribute-lft-in_binary64
45×unsub-neg_binary64
41×associate-*l*_binary64
34×sub-neg_binary64
33×associate-*r*_binary64
25×associate--r+_binary64
22×distribute-rgt-neg-out_binary64
21×distribute-lft-neg-out_binary64
19×neg-mul-1_binary64
18×neg-sub0_binary64
17×+-lft-identity_binary64
15×distribute-rgt-neg-in_binary64
14×mul0-rgt_binary64 mul0-lft_binary64 associate-+l-_binary64
12×sub0-neg_binary64
11×*-commutative_binary64
associate-+r+_binary64
distribute-lft-neg-in_binary64
*-rgt-identity_binary64 distribute-neg-in_binary64
*-lft-identity_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64 associate-+l+_binary64 +-commutative_binary64
remove-double-neg_binary64 --rgt-identity_binary64 distribute-rgt-out_binary64 associate--r-_binary64
associate--l+_binary64
+-rgt-identity_binary64 swap-sqr_binary64
1-exp_binary64 sqr-neg_binary64 mul-1-neg_binary64 distribute-lft-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 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 /-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-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
11510
23710
36610
412410
516310
620110
737310
833610
931910
1026810

prune1.0ms (0%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite43.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cancel-sign-sub-inv_binary64 associate-*r*_binary64
add-cube-cbrt_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
sub-neg_binary64 associate-*r/_binary64 difference-of-squares_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64 associate-*l*_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
1 → 31
Calls

1 calls:

12.0ms
(*.f64 (*.f64 x y) (-.f64 1 y))
Compiler

Compiled 414 to 214 computations (48.3% saved)

series28.0ms (1%)

Error
0.0b
Counts
1 → 9
Calls

1 calls:

24.0ms
(*.f64 (*.f64 x y) (-.f64 1 y))
Compiler

Compiled 146 to 115 computations (21.2% saved)

simplify86.0ms (3.1%)

Algorithm
egg-herbie
Rules
440×exp-prod_binary64
417×associate-+l+_binary64
385×unswap-sqr_binary64
354×*-commutative_binary64
313×neg-mul-1_binary64
310×neg-sub0_binary64
204×associate-+r+_binary64
193×distribute-rgt-neg-out_binary64
186×distribute-lft-neg-out_binary64
173×sqr-pow_binary64 distribute-rgt-in_binary64
170×associate-*l*_binary64
161×unsub-neg_binary64
159×distribute-lft-in_binary64
118×associate-*r*_binary64
116×sub-neg_binary64
77×+-commutative_binary64
74×log-prod_binary64
69×exp-sum_binary64
52×distribute-rgt-neg-in_binary64
51×distribute-lft-neg-in_binary64
50×associate-+l-_binary64
49×exp-neg_binary64
46×exp-diff_binary64
42×cube-prod_binary64 *-lft-identity_binary64
38×swap-sqr_binary64
36×*-rgt-identity_binary64
34×associate-+r-_binary64
33×div-sub_binary64
31×pow-sqr_binary64
28×difference-of-squares_binary64
23×sub0-neg_binary64
20×cancel-sign-sub-inv_binary64 associate-/l*_binary64
19×unpow3_binary64
17×distribute-rgt-out_binary64
14×mul0-rgt_binary64 mul0-lft_binary64
13×distribute-rgt-out--_binary64
12×unpow1/2_binary64
11×+-rgt-identity_binary64
cube-unmult_binary64
pow-plus_binary64 cube-mult_binary64 sqr-neg_binary64 difference-of-sqr-1_binary64
log-pow_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64
distribute-neg-in_binary64
unpow2_binary64 cube-neg_binary64 difference-of-sqr--1_binary64
--rgt-identity_binary64 distribute-rgt1-in_binary64 distribute-lft-out_binary64 count-2_binary64
unpow1_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-lft-identity_binary64 distribute-lft1-in_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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 times-frac_binary64 /-rgt-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64
Counts
40 → 37
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078515
1212451
2653449
31418442
43003442
54798442
64945442

prune23.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New32537
Fresh000
Picked011
Done000
Total32638
Error
0.0b
Counts
38 → 6
Compiler

Compiled 273 to 130 computations (52.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
0.2b
(cbrt.f64 (-.f64 1 y))
0.2b
(cbrt.f64 (-.f64 1 y))
0.2b
(cbrt.f64 (-.f64 1 y))

rewrite187.0ms (6.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
50×cbrt-prod_binary64
44×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64
14×difference-of-squares_binary64
11×pow1_binary64 swap-sqr_binary64
pow1/3_binary64 flip3--_binary64 flip--_binary64 distribute-lft-out--_binary64 associate-*l*_binary64 associate-*r*_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64 unswap-sqr_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 → 107
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
3.0ms
(cbrt.f64 (-.f64 1 y))
3.0ms
(cbrt.f64 (-.f64 1 y))
3.0ms
(cbrt.f64 (-.f64 1 y))
Compiler

Compiled 2483 to 1762 computations (29% saved)

series94.0ms (3.4%)

Error
0.0b
Counts
4 → 30
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
14.0ms
(cbrt.f64 (-.f64 1 y))
14.0ms
(cbrt.f64 (-.f64 1 y))
12.0ms
(cbrt.f64 (-.f64 1 y))
Compiler

Compiled 1472 to 1188 computations (19.3% saved)

simplify126.0ms (4.5%)

Algorithm
egg-herbie
Rules
485×cancel-sign-sub-inv_binary64
295×exp-sum_binary64
230×associate-*l*_binary64
213×distribute-rgt-in_binary64
190×associate-*r*_binary64
180×associate-+l-_binary64
177×distribute-lft-in_binary64 associate-+r+_binary64
170×associate-+l+_binary64
164×distribute-rgt-neg-in_binary64
160×sub-neg_binary64
140×distribute-lft-neg-in_binary64
118×exp-diff_binary64
107×associate--r+_binary64
101×*-commutative_binary64
96×associate-+r-_binary64
91×log-prod_binary64
90×exp-prod_binary64
87×unswap-sqr_binary64
73×associate--l+_binary64
70×sqr-pow_binary64
68×distribute-rgt-out_binary64
67×unsub-neg_binary64 distribute-lft-out_binary64
54×associate-/r*_binary64
51×neg-sub0_binary64
50×distribute-neg-in_binary64
47×neg-mul-1_binary64
38×+-commutative_binary64
36×swap-sqr_binary64
34×associate--r-_binary64
28×distribute-lft-neg-out_binary64
25×associate--l-_binary64
24×cube-prod_binary64 distribute-rgt-out--_binary64
23×*-lft-identity_binary64 distribute-rgt-neg-out_binary64 distribute-lft-out--_binary64
22×*-rgt-identity_binary64
20×pow-plus_binary64 sub0-neg_binary64
18×unpow3_binary64
16×associate-/l*_binary64
15×log-pow_binary64
13×cube-unmult_binary64 div-sub_binary64 pow-sqr_binary64 associate-/l/_binary64
12×log-div_binary64
11×distribute-rgt1-in_binary64
exp-to-pow_binary64
unpow1/3_binary64
rem-sqrt-square_binary64 associate-*r/_binary64
+-rgt-identity_binary64 cancel-sign-sub_binary64 count-2_binary64
unpow2_binary64 prod-exp_binary64 exp-neg_binary64 difference-of-sqr-1_binary64 distribute-neg-out_binary64 associate-/r/_binary64
unpow1/2_binary64 rem-exp-log_binary64 mul-1-neg_binary64
log-rec_binary64 rem-3cbrt-lft_binary64 --rgt-identity_binary64
unpow1_binary64 div-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-mult_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 +-inverses_binary64 distribute-frac-neg_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 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 cube-div_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 times-frac_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-squares_binary64 distribute-neg-frac_binary64 distribute-lft1-in_binary64 associate-*l/_binary64
Counts
137 → 88
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01322204
12712116
26942006
317511942
445821869
550741869

prune98.0ms (3.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New85388
Fresh224
Picked011
Done011
Total87794
Error
0.0b
Counts
94 → 7
Compiler

Compiled 1613 to 1118 computations (30.7% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(cbrt.f64 (-.f64 1 y))
0.2b
(cbrt.f64 (-.f64 1 y))
0.2b
(cbrt.f64 (-.f64 1 y))
0.2b
(cbrt.f64 (-.f64 1 y))

rewrite142.0ms (5.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
24×cbrt-prod_binary64
20×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
add-cube-cbrt_binary64 cbrt-div_binary64 difference-of-squares_binary64
pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip3--_binary64 flip--_binary64 distribute-lft-out--_binary64
Counts
4 → 64
Calls

4 calls:

4.0ms
(cbrt.f64 (-.f64 1 y))
3.0ms
(cbrt.f64 (-.f64 1 y))
3.0ms
(cbrt.f64 (-.f64 1 y))
3.0ms
(cbrt.f64 (-.f64 1 y))
Compiler

Compiled 2036 to 1537 computations (24.5% saved)

series100.0ms (3.6%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

16.0ms
(cbrt.f64 (-.f64 1 y))
15.0ms
(cbrt.f64 (-.f64 1 y))
14.0ms
(cbrt.f64 (-.f64 1 y))
13.0ms
(cbrt.f64 (-.f64 1 y))
Compiler

Compiled 1840 to 1519 computations (17.4% saved)

simplify131.0ms (4.7%)

Algorithm
egg-herbie
Rules
405×div-sub_binary64
396×sub-neg_binary64
377×unswap-sqr_binary64
328×exp-sum_binary64
298×distribute-rgt-neg-in_binary64
266×*-commutative_binary64
236×associate-*l*_binary64
216×distribute-lft-neg-in_binary64
210×unsub-neg_binary64
185×cancel-sign-sub-inv_binary64
181×associate--l+_binary64
168×associate-*r*_binary64
166×neg-mul-1_binary64
152×neg-sub0_binary64
143×exp-diff_binary64
142×distribute-neg-in_binary64
134×associate--l-_binary64
121×+-commutative_binary64
96×sqr-pow_binary64
95×associate-+r+_binary64
94×distribute-rgt-out_binary64
83×distribute-rgt-in_binary64
78×distribute-lft-out_binary64
77×log-div_binary64
75×associate-*l/_binary64
72×distribute-lft-in_binary64
69×associate-+l+_binary64
68×log-prod_binary64 associate--r+_binary64
67×associate-+l-_binary64
65×exp-prod_binary64
60×distribute-rgt-out--_binary64
53×distribute-lft-neg-out_binary64 associate-+r-_binary64
50×distribute-lft-out--_binary64
49×distribute-rgt-neg-out_binary64
43×sub0-neg_binary64
41×remove-double-neg_binary64
35×*-lft-identity_binary64
31×cube-prod_binary64
29×log-pow_binary64 *-rgt-identity_binary64 associate--r-_binary64
27×prod-exp_binary64
25×associate-/r*_binary64
24×exp-to-pow_binary64
23×associate-*r/_binary64
21×pow-sqr_binary64
17×cancel-sign-sub_binary64
16×pow-plus_binary64
15×cube-unmult_binary64 difference-of-sqr--1_binary64
13×difference-of-sqr-1_binary64 associate-/l*_binary64
12×cube-div_binary64 distribute-rgt1-in_binary64 associate-/l/_binary64
11×+-rgt-identity_binary64
log-rec_binary64 div-exp_binary64
--rgt-identity_binary64
count-2_binary64 associate-/r/_binary64
unpow1/3_binary64 unpow3_binary64 exp-neg_binary64 rem-exp-log_binary64 mul0-rgt_binary64 mul0-lft_binary64
distribute-neg-out_binary64
rem-sqrt-square_binary64 swap-sqr_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64
cube-mult_binary64 +-inverses_binary64 distribute-lft1-in_binary64
+-lft-identity_binary64
log-E_binary64 unpow2_binary64 unpow1/2_binary64 pow-base-1_binary64 unpow1_binary64 exp-sqrt_binary64 rec-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-log-exp_binary64 rem-3cbrt-lft_binary64 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-div_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 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 e-exp-1_binary64 exp-0_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-squares_binary64
Counts
88 → 40
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0601052
11251036
22671004
3642936
42010936
53286936
64957936
74824936

prune53.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New40040
Fresh044
Picked011
Done022
Total40747
Error
0.0b
Counts
47 → 7
Compiler

Compiled 1000 to 731 computations (26.9% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(cbrt.f64 (-.f64 1 y))
0.2b
(cbrt.f64 (-.f64 1 y))
0.2b
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
0.3b
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 4)

rewrite207.0ms (7.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
42×cbrt-prod_binary64
26×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
24×unpow-prod-down_binary64
14×add-cube-cbrt_binary64
difference-of-squares_binary64
pow-unpow_binary64 pow1_binary64 add-exp-log_binary64
distribute-lft-out--_binary64 pow1/3_binary64 pow-pow_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 cbrt-div_binary64
pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64 flip3--_binary64 flip--_binary64
unpow2_binary64
Counts
4 → 87
Calls

4 calls:

7.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 4)
6.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
3.0ms
(cbrt.f64 (-.f64 1 y))
3.0ms
(cbrt.f64 (-.f64 1 y))
Compiler

Compiled 2554 to 1988 computations (22.2% saved)

series122.0ms (4.4%)

Error
0.0b
Counts
4 → 30
Calls

4 calls:

25.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 4)
20.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
16.0ms
(cbrt.f64 (-.f64 1 y))
14.0ms
(cbrt.f64 (-.f64 1 y))
Compiler

Compiled 2044 to 1709 computations (16.4% saved)

simplify153.0ms (5.5%)

Algorithm
egg-herbie
Rules
279×distribute-rgt-neg-in_binary64
251×associate-*r*_binary64
248×associate-*l*_binary64
247×sub-neg_binary64
232×distribute-lft-neg-in_binary64
228×log-prod_binary64
215×distribute-rgt-in_binary64
188×sqr-pow_binary64
185×cancel-sign-sub-inv_binary64
103×*-commutative_binary64
95×unsub-neg_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64
92×exp-prod_binary64
78×neg-sub0_binary64
76×unpow3_binary64 swap-sqr_binary64
75×neg-mul-1_binary64
74×distribute-neg-in_binary64 associate--r+_binary64
67×log-pow_binary64 cube-prod_binary64
58×+-commutative_binary64
55×unswap-sqr_binary64
53×pow-plus_binary64
52×exp-sum_binary64
51×cube-unmult_binary64
50×associate-+l+_binary64
43×pow-sqr_binary64
39×associate-+l-_binary64
34×rem-sqrt-square_binary64
33×distribute-rgt-out--_binary64 distribute-lft-out--_binary64
29×sub0-neg_binary64 distribute-lft-in_binary64 associate--l+_binary64
24×associate-+r+_binary64
23×distribute-lft-neg-out_binary64
21×associate-/r*_binary64
19×associate-+r-_binary64
17×exp-diff_binary64
15×unpow2_binary64
14×unpow1/2_binary64 unpow1_binary64 distribute-rgt1-in_binary64
13×div-sub_binary64
11×+-rgt-identity_binary64
10×log-div_binary64 rem-3cbrt-rft_binary64 distribute-rgt-neg-out_binary64 associate--l-_binary64
cancel-sign-sub_binary64
prod-exp_binary64
exp-to-pow_binary64 associate-/l/_binary64
*-rgt-identity_binary64 *-lft-identity_binary64 associate-*r/_binary64
unpow1/3_binary64 exp-neg_binary64 difference-of-sqr-1_binary64 associate--r-_binary64
rem-exp-log_binary64 distribute-neg-out_binary64
log-rec_binary64 cube-mult_binary64 rem-cbrt-cube_binary64 --rgt-identity_binary64 associate-/r/_binary64 associate-/l*_binary64
1-exp_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 remove-double-neg_binary64 +-inverses_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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 rec-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 cube-div_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 times-frac_binary64 /-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-squares_binary64 distribute-neg-frac_binary64 associate-*l/_binary64
Counts
117 → 74
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02051852
14541779
210251746
328061668
447591668
549501668
648161668

prune86.0ms (3.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done033
Total74781
Error
0.0b
Counts
81 → 7
Compiler

Compiled 1521 to 1151 computations (24.3% saved)

regimes317.0ms (11.4%)

Accuracy

Total 0.1b remaining (70.9%)

Threshold costs 0.1b (70.9%)

Compiler

Compiled 3940 to 3247 computations (17.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
neg-sub0_binary64 distribute-rgt-neg-in_binary64 +-commutative_binary64
neg-mul-1_binary64 sub-neg_binary64 distribute-lft-neg-in_binary64
unsub-neg_binary64
1-exp_binary64 mul-1-neg_binary64 *-rgt-identity_binary64 distribute-rgt-neg-out_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 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 /-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
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01115
11915
22413
33013
44313
54713
65013
75113
84913

end1.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample585.0ms (21%)

Algorithm
intervals
Results
197.0ms8000×body128valid
4.0ms160×body128invalid
Compiler

Compiled 129 to 114 computations (11.6% saved)

Profiling

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