Details

Time bar (total: 2.0s)

analyze126.0ms (6.2%)

Algorithm
search
egg-herbie
Rules
502×sqr-pow_binary64
428×unswap-sqr_binary64
356×distribute-rgt-in_binary64
334×associate-/l/_binary64
290×associate-*r/_binary64
288×pow-sqr_binary64
268×associate-/r/_binary64
264×associate-*l/_binary64
214×associate-*l*_binary64
206×*-commutative_binary64
194×exp-prod_binary64
140×associate-*r*_binary64
138×associate-/l*_binary64
120×swap-sqr_binary64
108×cube-prod_binary64
104×distribute-rgt-out_binary64
92×rem-sqrt-square_binary64
72×associate-/r*_binary64
54×pow-plus_binary64
50×prod-exp_binary64
48×unpow3_binary64
44×cube-mult_binary64
30×distribute-lft-out_binary64
28×exp-sqrt_binary64 *-lft-identity_binary64 distribute-lft-in_binary64
24×unpow1/2_binary64
22×*-rgt-identity_binary64
16×unpow2_binary64 exp-lft-sqr_binary64
14×unpow1_binary64 distribute-rgt1-in_binary64
12×exp-sum_binary64
10×cube-unmult_binary64
rem-square-sqrt_binary64 /-rgt-identity_binary64 remove-double-div_binary64
distribute-lft1-in_binary64 associate-+l+_binary64 associate-+r+_binary64
1-exp_binary64 exp-1-e_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
11518
22218
34018
49018
520918
651418
780118
8237418
9258018
10297918
11359718
12507418
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
68.7%31.2%0.1%6
68.7%18.7%12.6%7
71.8%15.6%12.6%8
71.8%9.4%18.8%9
73.4%7.8%18.8%10
73.4%4.7%22%11
74.1%3.9%22%12
74.1%2.3%23.5%13
74.5%2%23.5%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample22.0ms (1.1%)

Algorithm
intervals
Results
6.0ms256×body128valid
3.0ms154×body128invalid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify138.0ms (6.7%)

Algorithm
egg-herbie
Rules
581×prod-exp_binary64
457×associate-*l*_binary64
428×pow-sqr_binary64
414×associate-*l/_binary64
380×sqr-pow_binary64
368×exp-prod_binary64 unswap-sqr_binary64
256×associate-*r*_binary64
251×associate-/l*_binary64
241×associate-/r*_binary64
190×*-commutative_binary64
157×associate-/l/_binary64
141×distribute-rgt-out_binary64
126×times-frac_binary64 associate-/r/_binary64
123×cube-prod_binary64
122×rem-sqrt-square_binary64
116×distribute-rgt-in_binary64
102×unpow3_binary64
101×exp-sum_binary64
83×swap-sqr_binary64
79×distribute-lft-in_binary64
66×associate-*r/_binary64
54×cube-mult_binary64
50×pow-plus_binary64
42×distribute-lft-out_binary64
36×exp-sqrt_binary64
26×*-rgt-identity_binary64
25×unpow1/2_binary64
24×count-2_binary64
15×unpow2_binary64
14×exp-lft-sqr_binary64
12×unpow1_binary64
10×associate-+l+_binary64 associate-+r+_binary64
cube-unmult_binary64
distribute-rgt1-in_binary64
rem-square-sqrt_binary64 remove-double-div_binary64
*-lft-identity_binary64
/-rgt-identity_binary64
exp-lft-cube_binary64 1-exp_binary64 exp-1-e_binary64 distribute-lft1-in_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-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-cbrt_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 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2139
3229
4489
51109
62689
77779
814449
923619
1026679
1131319
1241549
1349409
1449779
1549939
1657239

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 6 to 5 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (exp.f64 (*.f64 y y)))
0.0b
(exp.f64 (*.f64 y y))

rewrite25.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-exp-log_binary64 associate-*l*_binary64 associate-*r*_binary64
exp-to-pow_binary64 exp-prod_binary64 rem-exp-log_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
2 → 28
Calls

2 calls:

5.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
2.0ms
(exp.f64 (*.f64 y y))
Compiler

Compiled 298 to 71 computations (76.2% saved)

series33.0ms (1.6%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

17.0ms
(*.f64 x (exp.f64 (*.f64 y y)))
7.0ms
(exp.f64 (*.f64 y y))
Compiler

Compiled 266 to 230 computations (13.5% saved)

simplify93.0ms (4.6%)

Algorithm
egg-herbie
Rules
575×distribute-rgt-out_binary64
336×distribute-rgt-in_binary64
314×distribute-lft-in_binary64
312×*-commutative_binary64
311×associate-+l+_binary64
295×exp-prod_binary64
275×unswap-sqr_binary64
269×associate-+r+_binary64
248×count-2_binary64
229×associate-/l/_binary64
193×associate-*l*_binary64
183×associate-/r/_binary64
164×sqr-pow_binary64
144×associate-*r*_binary64
139×distribute-lft-out_binary64
90×log-prod_binary64
88×+-commutative_binary64
77×exp-sum_binary64
63×pow-sqr_binary64
61×log-pow_binary64
58×cube-prod_binary64
54×exp-to-pow_binary64 associate-/l*_binary64
53×swap-sqr_binary64
49×unpow3_binary64
41×times-frac_binary64
37×distribute-rgt1-in_binary64
30×*-lft-identity_binary64
29×*-rgt-identity_binary64
23×cube-div_binary64
18×pow-plus_binary64 associate-/r*_binary64 associate-*r/_binary64
17×rem-sqrt-square_binary64
16×cube-unmult_binary64
12×distribute-lft1-in_binary64
11×associate-*l/_binary64
exp-sqrt_binary64
log-div_binary64 unpow1/2_binary64
exp-lft-sqr_binary64
prod-exp_binary64
rem-log-exp_binary64 cube-mult_binary64
unpow2_binary64 rem-exp-log_binary64 /-rgt-identity_binary64
log-E_binary64 unpow1_binary64 1-exp_binary64 exp-1-e_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
43 → 28
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062493
1133448
2350442
3737439
41192439
53099439
64553439
74939439

prune13.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New26228
Fresh000
Picked011
Done000
Total26329
Error
0.0b
Counts
29 → 3
Compiler

Compiled 237 to 98 computations (58.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.3b
(*.f64 (*.f64 y y) x)

rewrite18.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64 associate-*r*_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64 unswap-sqr_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
1 → 19
Calls

1 calls:

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

Compiled 213 to 70 computations (67.1% saved)

series19.0ms (0.9%)

Error
0.0b
Counts
1 → 6
Calls

1 calls:

18.0ms
(*.f64 (*.f64 y y) x)
Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify77.0ms (3.8%)

Algorithm
egg-herbie
Rules
697×associate-/l*_binary64
412×log-div_binary64
381×associate-/r*_binary64
366×unswap-sqr_binary64
301×associate-*l*_binary64
251×sqr-pow_binary64
198×times-frac_binary64
191×distribute-rgt-in_binary64
187×*-commutative_binary64
186×associate-*r*_binary64
175×distribute-lft-in_binary64
115×associate-/l/_binary64
107×pow-sqr_binary64
99×associate-+l+_binary64
98×log-prod_binary64 exp-prod_binary64
95×distribute-lft-out_binary64
82×associate-/r/_binary64
77×cube-prod_binary64
70×associate-*r/_binary64
64×associate-+r+_binary64
62×distribute-rgt-out_binary64
48×+-commutative_binary64
43×*-rgt-identity_binary64 *-lft-identity_binary64
42×cube-div_binary64
40×swap-sqr_binary64
31×rem-sqrt-square_binary64
28×count-2_binary64
27×log-pow_binary64
23×associate-*l/_binary64
21×unpow3_binary64
17×pow-plus_binary64 cube-mult_binary64
11×log-rec_binary64
10×distribute-rgt1-in_binary64
unpow1/2_binary64 exp-sqrt_binary64 cube-unmult_binary64
/-rgt-identity_binary64
exp-lft-sqr_binary64 distribute-lft1-in_binary64
unpow2_binary64
unpow1_binary64 1-exp_binary64 exp-1-e_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
25 → 20
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038257
186212
2256212
3570212
4872212
51649212
62860212
74862212
85314212

prune7.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New20020
Fresh011
Picked011
Done011
Total20323
Error
0.0b
Counts
23 → 3
Compiler

Compiled 119 to 43 computations (63.9% saved)

localize9.0ms (0.4%)

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)

rewrite48.0ms (2.3%)

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 1215 to 234 computations (80.7% saved)

series72.0ms (3.5%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
17.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 x)
Compiler

Compiled 500 to 347 computations (30.6% saved)

simplify111.0ms (5.4%)

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

prune16.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New49150
Fresh000
Picked101
Done112
Total51253
Error
0.0b
Counts
53 → 2
Compiler

Compiled 438 to 148 computations (66.2% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.0b
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)

rewrite45.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
18×cbrt-prod_binary64
11×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 → 57
Calls

4 calls:

4.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1237 to 395 computations (68.1% saved)

series92.0ms (4.5%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

33.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 5)
18.0ms
(cbrt.f64 x)
18.0ms
(cbrt.f64 x)
17.0ms
(cbrt.f64 x)
Compiler

Compiled 640 to 457 computations (28.6% saved)

simplify115.0ms (5.6%)

Algorithm
egg-herbie
Rules
592×associate-*l*_binary64
402×associate-*r*_binary64
334×log-prod_binary64
291×distribute-rgt-in_binary64
287×distribute-lft-in_binary64
190×sqr-pow_binary64
162×unswap-sqr_binary64
142×cube-prod_binary64
138×exp-prod_binary64
137×associate-+l+_binary64 associate-+r+_binary64
98×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
85×*-commutative_binary64
78×associate-/l*_binary64
73×log-pow_binary64
55×unpow3_binary64
50×cube-unmult_binary64
48×neg-sub0_binary64
47×neg-mul-1_binary64
46×pow-plus_binary64
40×associate-/l/_binary64
38×cancel-sign-sub-inv_binary64
35×pow-sqr_binary64 distribute-rgt-out_binary64
30×cube-mult_binary64 unsub-neg_binary64
27×times-frac_binary64
26×count-2_binary64
25×associate-*r/_binary64
22×swap-sqr_binary64
21×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 associate-/r*_binary64
20×distribute-lft-out_binary64
16×associate-/r/_binary64
sub-neg_binary64
rem-sqrt-square_binary64
unpow2_binary64 *-lft-identity_binary64 associate-*l/_binary64 +-commutative_binary64
*-rgt-identity_binary64 distribute-rgt1-in_binary64
unpow1/3_binary64
mul-1-neg_binary64 /-rgt-identity_binary64 associate-+l-_binary64
unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_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-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-lft1-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
69 → 31
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
072630
1139591
2293591
3702591
42023591
54495583
64915583
74896583

prune12.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New30131
Fresh000
Picked011
Done011
Total30333
Error
0.0b
Counts
33 → 3
Compiler

Compiled 395 to 153 computations (61.3% saved)

regimes199.0ms (9.7%)

Accuracy

Total -0.0b remaining (-36.1%)

Threshold costs -0.0b (-36.1%)

Compiler

Compiled 2272 to 1457 computations (35.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-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 +-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
179
279

end1.0ms (0%)

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample724.0ms (35.5%)

Algorithm
intervals
Results
190.0ms8000×body128valid
101.0ms4113×body128invalid
Compiler

Compiled 69 to 57 computations (17.4% saved)

Profiling

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