Details

Time bar (total: 2.8s)

analyze361.0ms (12.8%)

Algorithm
search
egg-herbie
Rules
*-commutative_binary64
associate-/r/_binary64 associate-/l*_binary64
swap-x-y
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--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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
12128
22928
33528
43728
53728
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
31.2%68.6%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
54.6%41.3%4%10
59.3%36.7%4%11
61.6%32.6%5.8%12
68.3%22.7%9%13
71%20%9%14
Symmetry

(sort x y)

Compiler

Compiled 6 to 6 computations (0% saved)

sample22.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms15×body128invalid
Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/r/_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-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--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
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2137
3167
4177
5177

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
5.3b
Counts
1 → 1
Compiler

Compiled 5 to 5 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.1b
(/.f64 (*.f64 x y) z)

rewrite24.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64 associate-/r*_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64
Counts
1 → 21
Calls

1 calls:

4.0ms
(/.f64 (*.f64 x y) z)
Compiler

Compiled 214 to 74 computations (65.4% saved)

series23.0ms (0.8%)

Error
5.3b
Counts
1 → 9
Calls

1 calls:

23.0ms
(/.f64 (*.f64 x y) z)
Compiler

Compiled 95 to 95 computations (0% saved)

simplify123.0ms (4.4%)

Algorithm
egg-herbie
Rules
1114×div-sub_binary64
1002×associate-/r/_binary64
543×sub-neg_binary64
355×associate-/l*_binary64
299×*-commutative_binary64
294×times-frac_binary64
280×cancel-sign-sub-inv_binary64
263×unsub-neg_binary64
189×sqr-pow_binary64
184×+-commutative_binary64
176×div0_binary64
163×distribute-neg-in_binary64 associate--l-_binary64
150×associate-/l/_binary64
136×distribute-rgt-in_binary64
133×associate-*l/_binary64
122×associate--l+_binary64
109×associate--r-_binary64
107×associate-*l*_binary64
102×unswap-sqr_binary64
98×associate-*r/_binary64
91×associate-/r*_binary64
90×associate-+l-_binary64
81×pow-sqr_binary64
73×associate-+r-_binary64
58×distribute-rgt-neg-in_binary64 associate-*r*_binary64
57×distribute-lft-in_binary64
54×distribute-lft-neg-in_binary64
50×associate-+l+_binary64
44×neg-mul-1_binary64 neg-sub0_binary64
43×distribute-neg-out_binary64
41×distribute-lft-neg-out_binary64
33×mul0-rgt_binary64 mul0-lft_binary64
30×associate--r+_binary64
26×*-rgt-identity_binary64
23×log-div_binary64
20×log-prod_binary64 swap-sqr_binary64 cancel-sign-sub_binary64
19×distribute-rgt-neg-out_binary64
18×cube-div_binary64 cube-prod_binary64 /-rgt-identity_binary64
17×*-lft-identity_binary64
16×distribute-lft-out--_binary64
15×associate-+r+_binary64
14×distribute-rgt-out_binary64
10×--rgt-identity_binary64
exp-sum_binary64 remove-double-neg_binary64
unpow3_binary64 +-rgt-identity_binary64
exp-prod_binary64 exp-diff_binary64 sub0-neg_binary64 distribute-rgt1-in_binary64 distribute-rgt-out--_binary64
cube-unmult_binary64 distribute-neg-frac_binary64 distribute-lft-out_binary64
cube-mult_binary64
log-rec_binary64 distribute-lft1-in_binary64
1-exp_binary64 mul-1-neg_binary64 +-lft-identity_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 log-pow_binary64 pow-base-0_binary64 unpow1/3_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 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_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-sqrt-square_binary64 rem-square-sqrt_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 distribute-frac-neg_binary64
Counts
30 → 9
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049306
1115261
2397261
31588261
41967261
52299261
62896261
73453261
83850261
94637261
104671261

prune7.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New549
Fresh000
Picked011
Done000
Total5510
Error
0.1b
Counts
10 → 5
Compiler

Compiled 80 to 49 computations (38.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.9b
(*.f64 x (/.f64 y z))

rewrite33.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-*l*_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
pow-prod-down_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64
Counts
1 → 32
Calls

1 calls:

7.0ms
(*.f64 x (/.f64 y z))
Compiler

Compiled 359 to 116 computations (67.7% saved)

series24.0ms (0.8%)

Error
0.1b
Counts
1 → 9
Calls

1 calls:

23.0ms
(*.f64 x (/.f64 y z))
Compiler

Compiled 95 to 95 computations (0% saved)

simplify110.0ms (3.9%)

Algorithm
egg-herbie
Rules
830×unsub-neg_binary64
432×associate-/l/_binary64
373×distribute-rgt-in_binary64
332×sub-neg_binary64
317×associate-/r*_binary64
301×associate--l+_binary64
296×cancel-sign-sub-inv_binary64
288×associate-/r/_binary64
246×sqr-pow_binary64
238×*-commutative_binary64
225×associate-*l*_binary64
204×distribute-neg-in_binary64
189×associate-*r/_binary64
180×associate-*l/_binary64
176×associate-/l*_binary64
173×associate-+l-_binary64
171×associate-*r*_binary64
133×unswap-sqr_binary64
122×neg-sub0_binary64
117×pow-sqr_binary64
116×neg-mul-1_binary64
93×rem-sqrt-square_binary64 times-frac_binary64
90×associate--r-_binary64
87×associate--l-_binary64
86×associate-+l+_binary64
81×*-rgt-identity_binary64
73×associate-+r-_binary64
71×distribute-neg-out_binary64
67×*-lft-identity_binary64
59×associate-+r+_binary64
55×distribute-lft-in_binary64
35×associate--r+_binary64
27×distribute-rgt-neg-in_binary64
26×+-rgt-identity_binary64
25×distribute-lft-neg-out_binary64
24×cancel-sign-sub_binary64 +-commutative_binary64
23×log-prod_binary64 exp-prod_binary64
22×distribute-lft-neg-in_binary64
21×cube-div_binary64 /-rgt-identity_binary64 distribute-rgt-out--_binary64
20×log-div_binary64
18×cube-prod_binary64
17×swap-sqr_binary64 distribute-lft-out--_binary64
16×distribute-rgt-out_binary64
13×remove-double-neg_binary64
10×distribute-rgt-neg-out_binary64
distribute-lft-out_binary64
unpow3_binary64
unpow1/2_binary64 cube-mult_binary64 distribute-rgt1-in_binary64
cube-unmult_binary64 mul-1-neg_binary64 sub0-neg_binary64
log-rec_binary64 --rgt-identity_binary64 remove-double-div_binary64
distribute-lft1-in_binary64
+-lft-identity_binary64 +-inverses_binary64
1-exp_binary64 exp-1-e_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 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_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 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 mul0-rgt_binary64 mul0-lft_binary64 div0_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64
Counts
41 → 19
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069435
1160390
2522390
31386390
42367390
52683390
63714390
74083390
84550390
94985390

prune14.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New16319
Fresh123
Picked011
Done011
Total17724
Error
0.0b
Counts
24 → 7
Compiler

Compiled 188 to 85 computations (54.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
1.4b
(/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
3.5b
(*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite91.0ms (3.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
27×add-exp-log_binary64
19×add-cbrt-cube_binary64
17×add-sqr-sqrt_binary64
13×add-cube-cbrt_binary64 *-un-lft-identity_binary64
12×cbrt-prod_binary64
10×times-frac_binary64
prod-exp_binary64 div-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64
associate-*r*_binary64
pow1_binary64 associate-/r*_binary64
add-log-exp_binary64
associate-*l*_binary64
unswap-sqr_binary64 associate-*r/_binary64 div-inv_binary64 pow1/3_binary64
pow-prod-down_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64 associate-/l*_binary64
Counts
4 → 82
Calls

4 calls:

10.0ms
(/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
9.0ms
(*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1489 to 290 computations (80.5% saved)

series156.0ms (5.6%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

87.0ms
(*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
30.0ms
(/.f64 (*.f64 y (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
17.0ms
(cbrt.f64 z)
16.0ms
(cbrt.f64 z)
Compiler

Compiled 654 to 554 computations (15.3% saved)

simplify114.0ms (4%)

Algorithm
egg-herbie
Rules
814×associate-/r/_binary64
299×*-commutative_binary64
237×unswap-sqr_binary64
181×cancel-sign-sub-inv_binary64
169×log-div_binary64
157×log-prod_binary64
145×distribute-rgt-neg-in_binary64
135×sub-neg_binary64
132×cube-prod_binary64
120×associate-/l*_binary64
117×distribute-lft-neg-in_binary64
109×times-frac_binary64
98×sqr-pow_binary64
89×associate-*l*_binary64
81×cube-div_binary64
80×distribute-neg-frac_binary64 associate-/r*_binary64
73×associate-*l/_binary64
72×associate-*r/_binary64
71×distribute-rgt-in_binary64
67×distribute-lft-in_binary64 associate-*r*_binary64
65×exp-prod_binary64
61×swap-sqr_binary64
57×neg-sub0_binary64
54×neg-mul-1_binary64
46×associate-/l/_binary64
37×div-sub_binary64
32×distribute-neg-in_binary64
29×associate--l+_binary64
28×unpow3_binary64
27×/-rgt-identity_binary64
25×cube-mult_binary64 associate-+l-_binary64
23×*-rgt-identity_binary64
22×associate--l-_binary64
21×associate-+l+_binary64
19×unsub-neg_binary64 associate-+r-_binary64
18×*-lft-identity_binary64
17×log-pow_binary64 log-rec_binary64 +-commutative_binary64
15×associate--r+_binary64
14×associate-+r+_binary64
13×cube-unmult_binary64
10×pow-plus_binary64 pow-sqr_binary64 distribute-lft-neg-out_binary64
distribute-frac-neg_binary64 distribute-rgt-neg-out_binary64
distribute-rgt-out_binary64 distribute-lft-out_binary64 count-2_binary64
+-rgt-identity_binary64
distribute-neg-out_binary64
rem-sqrt-square_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64
mul-1-neg_binary64 div0_binary64
unpow1/3_binary64 unpow2_binary64 unpow1/2_binary64 distribute-rgt-out--_binary64 associate--r-_binary64
unpow1_binary64
exp-diff_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 +-inverses_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 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-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-lft-identity_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_binary64 distribute-lft1-in_binary64
Counts
106 → 71
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01311794
13021115
213501115
327021115
449791115
549591115

prune36.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New69271
Fresh314
Picked011
Done022
Total72678
Error
0.0b
Counts
78 → 6
Compiler

Compiled 636 to 292 computations (54.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
2.3b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x)))
2.7b
(*.f64 (/.f64 y z) (cbrt.f64 x))

rewrite79.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
30×add-exp-log_binary64
25×add-sqr-sqrt_binary64
18×pow1_binary64 add-cbrt-cube_binary64
15×prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64 *-un-lft-identity_binary64
14×associate-*l*_binary64
11×cbrt-prod_binary64 times-frac_binary64
pow-prod-down_binary64
associate-*r*_binary64
add-log-exp_binary64 unswap-sqr_binary64
div-exp_binary64 cbrt-undiv_binary64
associate-*l/_binary64 *-commutative_binary64 pow1/3_binary64
div-inv_binary64 associate-*r/_binary64
Counts
4 → 86
Calls

4 calls:

12.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x)))
8.0ms
(*.f64 (/.f64 y z) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1499 to 290 computations (80.7% saved)

series139.0ms (4.9%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

64.0ms
(*.f64 (/.f64 y z) (cbrt.f64 x))
33.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 y z) (cbrt.f64 x)))
17.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
Compiler

Compiled 634 to 492 computations (22.4% saved)

simplify150.0ms (5.3%)

Algorithm
egg-herbie
Rules
399×associate-*r/_binary64
397×associate-*l/_binary64
347×log-prod_binary64
316×unswap-sqr_binary64
312×*-commutative_binary64
258×associate-/l*_binary64
212×log-div_binary64
175×associate-*l*_binary64
147×associate-*r*_binary64
103×distribute-rgt-neg-in_binary64
90×sqr-pow_binary64
84×distribute-lft-neg-in_binary64
82×associate-/r*_binary64
81×cube-div_binary64
78×cube-prod_binary64
72×cancel-sign-sub-inv_binary64
71×exp-prod_binary64
68×times-frac_binary64
63×distribute-rgt-in_binary64
58×distribute-lft-in_binary64
49×associate--l+_binary64
48×distribute-rgt-neg-out_binary64
45×swap-sqr_binary64
44×distribute-lft-neg-out_binary64
42×sub-neg_binary64 associate-+l-_binary64
38×distribute-neg-frac_binary64 associate-/r/_binary64 associate-+r-_binary64
32×associate--r+_binary64
28×div-sub_binary64
27×neg-sub0_binary64 associate-+r+_binary64
26×associate-+l+_binary64
22×*-rgt-identity_binary64 associate-/l/_binary64
21×*-lft-identity_binary64
20×neg-mul-1_binary64 distribute-neg-in_binary64
15×/-rgt-identity_binary64 pow-sqr_binary64
14×log-pow_binary64
13×unpow3_binary64 distribute-frac-neg_binary64
12×cube-mult_binary64
11×cube-unmult_binary64 +-commutative_binary64
10×log-rec_binary64 associate--l-_binary64
pow-plus_binary64
associate--r-_binary64
unsub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 count-2_binary64
rem-sqrt-square_binary64
+-rgt-identity_binary64
unpow1/3_binary64 exp-diff_binary64 cube-neg_binary64 sqr-neg_binary64 div0_binary64 distribute-rgt-out--_binary64
unpow1/2_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_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 pow-base-0_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 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
110 → 80
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01251546
12961019
29181019
327671019
446541019
549891019
649991019
749731019

prune27.0ms (1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New79180
Fresh022
Picked011
Done033
Total79786
Error
0.0b
Counts
86 → 7
Compiler

Compiled 639 to 173 computations (72.9% saved)

regimes583.0ms (20.7%)

Accuracy

Total 1.2b remaining (98.7%)

Threshold costs 0b (0%)

Compiler

Compiled 3443 to 2252 computations (34.6% saved)

bsearch1.0ms (0.1%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (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
02363
12663
22663

end8.0ms (0.3%)

Remove

(sort x y)

Compiler

Compiled 123 to 63 computations (48.8% saved)

sample648.0ms (23%)

Algorithm
intervals
Results
191.0ms8000×body128valid
15.0ms700×body128invalid
Compiler

Compiled 131 to 104 computations (20.6% saved)

Profiling

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