Details

Time bar (total: 1.5s)

analyze57.0ms (3.8%)

Algorithm
1×search
2×egg-herbie
Rules
1×+-commutative_binary64
0×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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
1714
2714
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
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample13.0ms (0.9%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify9.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
0×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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64 *-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
267

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 5 to 4 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 x (+.f64 x y))

rewrite29.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
18×*-un-lft-identity_binary64
12×times-frac_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×distribute-lft-out_binary64 associate-/r*_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
2×associate-/r/_binary64
1×pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64
Counts
1 → 33
Calls

1 calls:

5.0ms
(/.f64 x (+.f64 x y))
Compiler

Compiled 356 to 101 computations (71.6% saved)

series22.0ms (1.5%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

18.0ms
(/.f64 x (+.f64 x y))
Compiler

Compiled 176 to 151 computations (14.2% saved)

simplify86.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
468×times-frac_binary64
424×unswap-sqr_binary64
393×sub-neg_binary64
370×div-sub_binary64
353×associate-/l*_binary64
281×associate-*l*_binary64
258×associate-/l/_binary64
226×associate-*r*_binary64
181×associate-/r*_binary64
160×distribute-rgt-in_binary64
150×distribute-lft-in_binary64
144×associate-*l/_binary64
117×associate-/r/_binary64
88×associate-*r/_binary64
81×*-commutative_binary64
64×neg-mul-1_binary64
63×neg-sub0_binary64
59×cube-prod_binary64
55×associate-+l+_binary64
46×associate-+r+_binary64
42×cancel-sign-sub-inv_binary64
40×*-lft-identity_binary64
39×sqr-pow_binary64
38×log-prod_binary64 unsub-neg_binary64
32×cube-div_binary64
29×log-div_binary64
26×*-rgt-identity_binary64 distribute-rgt-out_binary64
25×unpow3_binary64
24×pow-plus_binary64 +-commutative_binary64
22×distribute-rgt-neg-in_binary64
21×distribute-lft-neg-in_binary64
19×cube-unmult_binary64 distribute-neg-frac_binary64
16×associate-+l-_binary64
15×cube-mult_binary64
14×exp-prod_binary64 fabs-mul_binary64 /-rgt-identity_binary64 distribute-lft-out_binary64
12×difference-of-squares_binary64
10×associate--l-_binary64
8×sub0-neg_binary64 associate--l+_binary64 associate-+r-_binary64
6×+-rgt-identity_binary64 associate--r+_binary64
5×log-pow_binary64 cube-neg_binary64 remove-double-neg_binary64 div0_binary64 associate--r-_binary64
4×--rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 pow-sqr_binary64
3×log-rec_binary64 fabs-div_binary64 fabs-sqr_binary64 fabs-sub_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 distribute-neg-in_binary64 distribute-lft-neg-out_binary64
2×unpow2_binary64 unpow1/2_binary64 unpow1_binary64 exp-diff_binary64 difference-of-sqr-1_binary64 distribute-rgt-neg-out_binary64 distribute-rgt1-in_binary64 count-2_binary64
1×1-exp_binary64 fabs-neg_binary64 mul-1-neg_binary64 *-inverses_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64
0×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-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64
Counts
45 → 17
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067542
1143512
2314512
3819509
43314509
54671509
65309509

prune8.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New14317
Fresh000
Picked011
Done000
Total14418
Error
0b
Counts
18 → 4
Compiler

Compiled 99 to 52 computations (47.5% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.7b
(/.f64 1 (+.f64 1 (/.f64 y x)))

rewrite36.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
18×*-un-lft-identity_binary64
12×times-frac_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
5×add-exp-log_binary64
4×distribute-lft-out_binary64 associate-/r*_binary64
3×add-cbrt-cube_binary64 associate-/l*_binary64
2×pow1_binary64 div-exp_binary64 associate-/r/_binary64
1×inv-pow_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64
Counts
1 → 37
Calls

1 calls:

7.0ms
(/.f64 1 (+.f64 1 (/.f64 y x)))
Compiler

Compiled 483 to 320 computations (33.7% saved)

series22.0ms (1.5%)

Error
0b
Counts
1 → 12
Calls

1 calls:

20.0ms
(/.f64 1 (+.f64 1 (/.f64 y x)))
Compiler

Compiled 176 to 151 computations (14.2% saved)

simplify65.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
503×distribute-rgt-out_binary64
469×unswap-sqr_binary64
415×times-frac_binary64
299×associate-/l*_binary64
177×cancel-sign-sub-inv_binary64
167×associate-/r*_binary64
166×associate-*l*_binary64
157×associate-*r*_binary64
155×distribute-rgt-neg-in_binary64
149×associate-*l/_binary64
148×distribute-neg-frac_binary64
145×distribute-lft-neg-in_binary64
111×associate-*r/_binary64
109×distribute-rgt-in_binary64
100×div-sub_binary64 associate-/l/_binary64
84×associate-+r+_binary64
79×distribute-lft-in_binary64
72×associate-+l+_binary64
69×sub-neg_binary64
68×associate-/r/_binary64
43×sqr-pow_binary64
40×*-commutative_binary64
37×neg-mul-1_binary64
35×neg-sub0_binary64 *-rgt-identity_binary64
34×distribute-neg-in_binary64
32×*-lft-identity_binary64
31×cube-prod_binary64
30×cube-div_binary64
28×distribute-rgt1-in_binary64
25×associate-+r-_binary64
24×distribute-lft-neg-out_binary64
19×distribute-frac-neg_binary64
17×remove-double-div_binary64 distribute-lft1-in_binary64
16×/-rgt-identity_binary64 distribute-rgt-out--_binary64
15×+-commutative_binary64
13×cube-unmult_binary64 distribute-rgt-neg-out_binary64 associate-+l-_binary64
10×unpow3_binary64 unsub-neg_binary64
9×pow-plus_binary64
8×swap-sqr_binary64
7×associate--r+_binary64
6×div0_binary64 pow-sqr_binary64 difference-of-squares_binary64 associate--l+_binary64
5×sub0-neg_binary64
4×log-div_binary64 cube-mult_binary64 +-rgt-identity_binary64
3×unpow1/2_binary64 --rgt-identity_binary64 +-lft-identity_binary64 difference-of-sqr-1_binary64 associate--l-_binary64
2×log-rec_binary64 log-prod_binary64 unpow2_binary64 unpow1_binary64 exp-prod_binary64 fabs-mul_binary64 rem-sqrt-square_binary64 mul0-rgt_binary64 mul0-lft_binary64
1×1-exp_binary64 exp-1-e_binary64 mul-1-neg_binary64 remove-double-neg_binary64 +-inverses_binary64 difference-of-sqr--1_binary64 distribute-neg-out_binary64 distribute-lft-out_binary64 count-2_binary64
0×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 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-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 fabs-div_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 cancel-sign-sub_binary64 distribute-lft-out--_binary64 associate--r-_binary64
Counts
49 → 25
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060669
1129625
2271625
3639622
42902622
55090622

prune11.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New25025
Fresh022
Picked011
Done011
Total25429
Error
0b
Counts
29 → 4
Compiler

Compiled 185 to 116 computations (37.3% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite48.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
9×pow1/3_binary64
6×add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×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 1147 to 233 computations (79.7% saved)

series73.0ms (4.9%)

Error
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)
16.0ms
(cbrt.f64 x)
Compiler

Compiled 468 to 322 computations (31.2% saved)

simplify111.0ms (7.4%)

Algorithm
1×egg-herbie
Rules
850×log-prod_binary64
525×unswap-sqr_binary64
346×sqr-pow_binary64
307×distribute-rgt-neg-in_binary64
298×associate-*l*_binary64
290×distribute-lft-neg-in_binary64
249×*-commutative_binary64
246×distribute-lft-out_binary64
228×exp-prod_binary64
201×associate-*r*_binary64
181×cube-prod_binary64
164×fabs-mul_binary64
151×swap-sqr_binary64
137×log-pow_binary64
112×cancel-sign-sub-inv_binary64 distribute-rgt-out_binary64
103×pow-sqr_binary64
100×log-div_binary64
98×associate-/l*_binary64
77×neg-mul-1_binary64
58×neg-sub0_binary64
57×rem-sqrt-square_binary64
55×associate-+l+_binary64
50×associate-+r+_binary64
48×distribute-rgt-in_binary64
46×times-frac_binary64
45×distribute-lft-in_binary64
43×unpow3_binary64
41×associate-/r/_binary64
39×pow-plus_binary64
35×associate-*r/_binary64
33×associate-/r*_binary64
32×associate-/l/_binary64
28×cube-mult_binary64 +-commutative_binary64
25×sub-neg_binary64
24×fabs-sqr_binary64
20×cube-unmult_binary64 *-rgt-identity_binary64
19×*-lft-identity_binary64 count-2_binary64
17×cube-div_binary64 fabs-div_binary64 distribute-neg-frac_binary64
16×distribute-rgt1-in_binary64
9×associate-*l/_binary64
8×unpow1/2_binary64
7×distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64
6×unpow2_binary64
5×unpow1_binary64 distribute-lft-neg-out_binary64
4×rem-cbrt-cube_binary64 mul-1-neg_binary64
3×unpow1/3_binary64
2×exp-sqrt_binary64 rem-3cbrt-lft_binary64 fabs-fabs_binary64
1×log-rec_binary64 exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate-+l-_binary64
0×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-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 fabs-neg_binary64 fabs-sub_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 → 60
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056642
197594
2309574
3800560
41864436
52894436
64605436
74971436

prune15.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done022
Total60464
Error
0b
Counts
64 → 4
Compiler

Compiled 421 to 155 computations (63.2% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (+.f64 x y))
0.1b
(pow.f64 (/.f64 x (+.f64 x y)) 3)
14.3b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite101.0ms (6.8%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
78×*-un-lft-identity_binary64
60×times-frac_binary64
46×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
42×cbrt-prod_binary64
36×unpow-prod-down_binary64 cube-prod_binary64
16×distribute-lft-out_binary64
10×associate-/r/_binary64
8×add-exp-log_binary64 add-cbrt-cube_binary64
5×div-inv_binary64 flip3-+_binary64 flip-+_binary64
4×pow1_binary64 associate-/r*_binary64
3×add-log-exp_binary64 pow-unpow_binary64 associate-/l*_binary64
2×cube-div_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 div-exp_binary64 pow-exp_binary64 rem-cube-cbrt_binary64 cbrt-undiv_binary64
1×pow1/3_binary64 cbrt-div_binary64 rem-cbrt-cube_binary64 pow-pow_binary64 pow-to-exp_binary64 frac-2neg_binary64 clear-num_binary64
Counts
3 → 141
Calls

3 calls:

7.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
7.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
5.0ms
(/.f64 x (+.f64 x y))
Compiler

Compiled 1531 to 614 computations (59.9% saved)

series70.0ms (4.7%)

Error
0b
Counts
3 → 33
Calls

3 calls:

21.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
20.0ms
(/.f64 x (+.f64 x y))
20.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
Compiler

Compiled 625 to 558 computations (10.7% saved)

simplify131.0ms (8.7%)

Algorithm
1×egg-herbie
Rules
649×associate-/l*_binary64
545×log-div_binary64
412×associate-/r*_binary64
365×unswap-sqr_binary64
280×associate-/l/_binary64
183×associate-/r/_binary64
123×sqr-pow_binary64
110×distribute-rgt-in_binary64
97×distribute-lft-in_binary64
88×log-prod_binary64
70×cube-div_binary64 associate-*l/_binary64
65×associate-*r/_binary64
58×exp-prod_binary64
46×cube-prod_binary64
41×log-pow_binary64
39×unpow3_binary64
38×cube-mult_binary64 cancel-sign-sub-inv_binary64
37×associate-*l*_binary64
33×times-frac_binary64 swap-sqr_binary64
32×associate-*r*_binary64
28×sub-neg_binary64
26×rem-cbrt-cube_binary64
24×distribute-rgt-neg-in_binary64
22×distribute-lft-neg-in_binary64
18×*-commutative_binary64
16×*-rgt-identity_binary64
15×distribute-neg-frac_binary64
13×rem-sqrt-square_binary64
12×neg-sub0_binary64 pow-sqr_binary64 +-commutative_binary64
11×neg-mul-1_binary64
9×pow-plus_binary64
7×*-lft-identity_binary64
6×cube-unmult_binary64 difference-of-squares_binary64 distribute-lft-neg-out_binary64
5×log-rec_binary64
4×/-rgt-identity_binary64 distribute-rgt-neg-out_binary64
3×unpow1/2_binary64 unpow1_binary64 rem-cube-cbrt_binary64 fabs-mul_binary64 rem-square-sqrt_binary64 count-2_binary64
2×unpow2_binary64 fabs-sqr_binary64 unsub-neg_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 associate-+l-_binary64
1×1-exp_binary64 rem-3cbrt-lft_binary64 div-sub_binary64 mul-1-neg_binary64 sub0-neg_binary64 associate--r+_binary64 associate-+r-_binary64 associate-+l+_binary64
0×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-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-neg_binary64 rem-3cbrt-rft_binary64 fabs-div_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 remove-double-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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate-+r+_binary64
Counts
174 → 120
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01612580
14082367
212302335
347212335
454912335

prune32.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done033
Total1204124
Error
0b
Counts
124 → 4
Compiler

Compiled 588 to 226 computations (61.6% saved)

regimes76.0ms (5.1%)

Accuracy

Total 0.0b remaining (68.9%)

Threshold costs 0.0b (68.9%)

Compiler

Compiled 458 to 388 computations (15.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
0×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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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
057
167
267

end0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

sample457.0ms (30.4%)

Algorithm
1×intervals
Results
157.0ms8000×body128valid
Compiler

Compiled 46 to 45 computations (2.2% saved)

Profiling

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