Details

Time bar (total: 3.2s)

analyze110.0ms (3.4%)

Algorithm
search
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 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--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
0918
11518
22118
32718
42918
52918
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample29.0ms (0.9%)

Algorithm
intervals
Results
8.0ms179×body128valid
7.0ms39×body1024valid
4.0ms31×body512valid
1.0msbody256valid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 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--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
069
199
2129
3169
4179
5179

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.2b
Counts
1 → 1
Compiler

Compiled 6 to 5 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(sin.f64 y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)

rewrite80.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
24×add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64 times-frac_binary64 *-un-lft-identity_binary64
13×associate-*r*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
add-log-exp_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l*_binary64
div-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
frac-2neg_binary64 clear-num_binary64 pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 66
Calls

3 calls:

7.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
1.0ms
(sin.f64 y)
Compiler

Compiled 812 to 217 computations (73.3% saved)

series56.0ms (1.8%)

Error
0.1b
Counts
3 → 21
Calls

3 calls:

24.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
10.0ms
(/.f64 (sin.f64 y) y)
9.0ms
(sin.f64 y)
Compiler

Compiled 432 to 345 computations (20.1% saved)

simplify135.0ms (4.2%)

Algorithm
egg-herbie
Rules
523×associate-/r/_binary64
383×associate-*l*_binary64
345×associate-*r*_binary64
243×distribute-rgt-neg-in_binary64
218×associate-/l*_binary64
215×distribute-lft-neg-in_binary64
209×associate-*r/_binary64
201×associate-*l/_binary64
196×times-frac_binary64
167×neg-mul-1_binary64
157×cancel-sign-sub-inv_binary64
155×neg-sub0_binary64
150×sub-neg_binary64
131×*-commutative_binary64
105×associate-/r*_binary64
90×associate-/l/_binary64
89×associate--l+_binary64
79×unswap-sqr_binary64
77×distribute-rgt-out--_binary64
67×cube-prod_binary64
66×log-prod_binary64
54×distribute-lft-out--_binary64
53×distribute-rgt-out_binary64
49×log-div_binary64 *-lft-identity_binary64
48×sqr-pow_binary64
47×+-commutative_binary64
45×cube-div_binary64
39×*-rgt-identity_binary64 associate--l-_binary64
38×exp-prod_binary64
33×associate-+l-_binary64
30×unpow3_binary64
28×distribute-lft-out_binary64
27×distribute-rgt-in_binary64 associate-+l+_binary64
26×associate-+r-_binary64
24×associate-+r+_binary64
21×distribute-lft-in_binary64
20×/-rgt-identity_binary64 swap-sqr_binary64 associate--r+_binary64
18×unsub-neg_binary64
15×pow-plus_binary64 +-rgt-identity_binary64
14×cube-unmult_binary64 cube-mult_binary64
13×distribute-lft-neg-out_binary64
12×sub0-neg_binary64 distribute-neg-in_binary64
11×associate--r-_binary64
10×log-rec_binary64
pow-sqr_binary64 cancel-sign-sub_binary64
log-pow_binary64 distribute-rgt1-in_binary64
unpow1/2_binary64 rem-sqrt-square_binary64
remove-double-div_binary64 distribute-neg-frac_binary64 count-2_binary64
unpow2_binary64 unpow1_binary64 exp-sum_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-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_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 mul-1-neg_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64
Counts
87 → 44
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01281108
13061018
29341012
328901009
446691009
549961009
649971009
749361009

prune33.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New35944
Fresh000
Picked011
Done000
Total351045
Error
0.0b
Counts
45 → 10
Compiler

Compiled 472 to 206 computations (56.4% saved)

localize9.0ms (0.3%)

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)

rewrite56.0ms (1.7%)

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)

series74.0ms (2.3%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

20.0ms
(*.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)

simplify100.0ms (3.1%)

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

prune23.0ms (0.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh088
Picked011
Done011
Total501060
Error
0.0b
Counts
60 → 10
Compiler

Compiled 513 to 193 computations (62.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
7.2b
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
7.2b
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
7.2b
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

rewrite63.0ms (2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×pow1_binary64
10×add-sqr-sqrt_binary64
pow1/3_binary64
add-cube-cbrt_binary64 associate-*l/_binary64 *-un-lft-identity_binary64
cbrt-div_binary64 cbrt-prod_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 frac-times_binary64 unswap-sqr_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
4 → 64
Calls

4 calls:

5.0ms
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
4.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
4.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
4.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
Compiler

Compiled 1753 to 194 computations (88.9% saved)

series269.0ms (8.4%)

Error
0.0b
Counts
4 → 29
Calls

4 calls:

85.0ms
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
55.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
54.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
53.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
Compiler

Compiled 2374 to 1344 computations (43.4% saved)

simplify178.0ms (5.6%)

Algorithm
egg-herbie
Rules
566×times-frac_binary64
424×associate-*l*_binary64
351×associate-*r*_binary64
325×log-prod_binary64
276×exp-prod_binary64
250×exp-sum_binary64
174×log-pow_binary64
153×*-commutative_binary64
141×unsub-neg_binary64
134×sub-neg_binary64
123×sqr-pow_binary64
114×log-div_binary64
105×exp-diff_binary64
83×div-sub_binary64
79×exp-to-pow_binary64
68×unswap-sqr_binary64
62×neg-sub0_binary64
58×associate-*l/_binary64
56×neg-mul-1_binary64
51×cancel-sign-sub-inv_binary64
49×distribute-rgt-in_binary64
46×distribute-lft-in_binary64 associate-*r/_binary64
44×distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
41×unpow1/3_binary64
38×associate-+r-_binary64 associate-+r+_binary64 +-commutative_binary64
34×associate-+l+_binary64
26×pow-plus_binary64
25×associate-/l*_binary64
24×pow-sqr_binary64 associate-+l-_binary64
22×associate-/r*_binary64
20×*-rgt-identity_binary64
19×exp-neg_binary64 *-lft-identity_binary64
18×cube-prod_binary64
15×+-rgt-identity_binary64 associate--l+_binary64
14×unpow3_binary64 distribute-rgt-neg-out_binary64
13×cube-unmult_binary64 distribute-lft-neg-out_binary64
12×log-rec_binary64 exp-lft-sqr_binary64
11×rem-exp-log_binary64 sub0-neg_binary64 associate--r-_binary64
unpow2_binary64 unpow1_binary64 rem-sqrt-square_binary64 swap-sqr_binary64 associate--r+_binary64
unpow1/2_binary64 associate--l-_binary64
--rgt-identity_binary64
remove-double-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
distribute-rgt1-in_binary64
prod-exp_binary64 rem-3cbrt-lft_binary64 distribute-rgt-out--_binary64 count-2_binary64 associate-/r/_binary64
log-E_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-mult_binary64 cube-div_binary64 cube-neg_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-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-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft1-in_binary64 associate-/l/_binary64
Counts
93 → 77
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01301768
13091644
27471419
326891315
446241237
549251237
647951237
749921237
849421237

prune45.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh077
Picked011
Done022
Total771087
Error
0.0b
Counts
87 → 10
Compiler

Compiled 1443 to 317 computations (78% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(sin.f64 y)
0.1b
(*.f64 (sin.f64 y) x)
6.9b
(/.f64 (*.f64 (sin.f64 y) x) y)

rewrite44.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
pow1_binary64
add-log-exp_binary64 times-frac_binary64 associate-/r*_binary64 associate-*l*_binary64 associate-*r*_binary64
prod-exp_binary64 div-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 pow-prod-down_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 46
Calls

3 calls:

4.0ms
(/.f64 (*.f64 (sin.f64 y) x) y)
4.0ms
(*.f64 (sin.f64 y) x)
1.0ms
(sin.f64 y)
Compiler

Compiled 500 to 149 computations (70.2% saved)

series64.0ms (2%)

Error
0.0b
Counts
3 → 24
Calls

3 calls:

24.0ms
(/.f64 (*.f64 (sin.f64 y) x) y)
18.0ms
(*.f64 (sin.f64 y) x)
9.0ms
(sin.f64 y)
Compiler

Compiled 508 to 384 computations (24.4% saved)

simplify91.0ms (2.8%)

Algorithm
egg-herbie
Rules
754×times-frac_binary64
532×associate-/l*_binary64
328×associate-*l*_binary64
274×associate-*r*_binary64
248×distribute-rgt-neg-in_binary64
226×distribute-lft-neg-in_binary64
209×associate-/l/_binary64
207×cancel-sign-sub-inv_binary64
186×neg-mul-1_binary64
181×associate-*l/_binary64
175×neg-sub0_binary64
164×associate-/r*_binary64
162×sub-neg_binary64
140×associate-*r/_binary64
128×*-commutative_binary64
116×associate-/r/_binary64
85×cube-prod_binary64
77×log-prod_binary64
74×log-div_binary64
72×unswap-sqr_binary64
69×cube-div_binary64
56×distribute-rgt-out--_binary64
52×sqr-pow_binary64
50×swap-sqr_binary64
47×+-commutative_binary64
42×associate--l+_binary64
39×exp-prod_binary64
33×associate-+l-_binary64
29×/-rgt-identity_binary64
28×*-rgt-identity_binary64 associate-+r-_binary64
26×associate-+l+_binary64
24×unsub-neg_binary64 *-lft-identity_binary64 associate-+r+_binary64
23×unpow3_binary64
18×associate--r+_binary64
17×+-rgt-identity_binary64
15×log-rec_binary64 cube-mult_binary64 distribute-lft-neg-out_binary64
14×cube-unmult_binary64
12×sub0-neg_binary64 remove-double-div_binary64
pow-plus_binary64 distribute-neg-frac_binary64
distribute-neg-in_binary64 associate--l-_binary64
distribute-rgt-out_binary64 distribute-rgt-in_binary64
div-sub_binary64 pow-sqr_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64
distribute-neg-out_binary64
log-pow_binary64 unpow1/2_binary64 rem-sqrt-square_binary64
distribute-lft-out--_binary64 distribute-lft-out_binary64
unpow2_binary64 unpow1_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 div0_binary64 +-inverses_binary64 distribute-rgt-neg-out_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 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 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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-frac-neg_binary64 distribute-lft1-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate--r-_binary64
Counts
70 → 36
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0114830
1279740
2928722
33862722
44659722
54962722

prune27.0ms (0.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New35136
Fresh336
Picked011
Done033
Total38846
Error
0b
Counts
46 → 8
Compiler

Compiled 370 to 170 computations (54.1% saved)

regimes630.0ms (19.7%)

Accuracy

Total 0.2b remaining (91.4%)

Threshold costs 0.2b (91.4%)

Compiler

Compiled 4118 to 2638 computations (35.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
1-exp_binary64 *-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 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
0812
11112
21012

end1.0ms (0%)

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.1s (32.8%)

Algorithm
intervals
Results
251.0ms1300×body1024valid
246.0ms5462×body128valid
103.0ms819×body512valid
36.0ms416×body256valid
1.0msbody2048valid
Compiler

Compiled 106 to 76 computations (28.3% saved)

Profiling

Loading profile data...