Details

Time bar (total: 1.1s)

analyze76.0ms (7.1%)

Algorithm
search
egg-herbie
Rules
+-commutative_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-*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
0712
1612
2612
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%62.4%12.6%4
37.5%43.7%18.8%5
37.5%34.3%28.2%6
43.7%23.4%32.9%7
43.7%18%38.3%8
46.8%12.1%41.1%9
46.8%9.2%44%10
48.4%6.1%45.5%11
48.4%4.6%47%12
49.2%3.1%47.7%13
49.2%2.3%48.5%14
Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

sample20.0ms (1.8%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms10×body128nan
Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify8.0ms (0.8%)

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 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-*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
056
166
266

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 4 to 4 computations (0% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
sqrt-prod_binary64 *-un-lft-identity_binary64
add-sqr-sqrt_binary64
pow1_binary64 add-cube-cbrt_binary64 sqrt-div_binary64
pow1/2_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 rem-sqrt-square_binary64
Counts
1 → 16
Calls

1 calls:

3.0ms
(sqrt.f64 (+.f64 x y))
Compiler

Compiled 141 to 53 computations (62.4% saved)

series25.0ms (2.3%)

Error
0.0b
Counts
1 → 10
Calls

1 calls:

17.0ms
(sqrt.f64 (+.f64 x y))
Compiler

Compiled 254 to 217 computations (14.6% saved)

simplify80.0ms (7.4%)

Algorithm
egg-herbie
Rules
574×cancel-sign-sub-inv_binary64
566×unsub-neg_binary64
424×*-commutative_binary64
345×unswap-sqr_binary64
324×associate-*l*_binary64
312×distribute-neg-in_binary64
307×neg-mul-1_binary64
290×neg-sub0_binary64
271×sub-neg_binary64
260×associate-*r*_binary64
207×distribute-rgt-in_binary64
161×distribute-rgt-out_binary64
151×distribute-lft-in_binary64
136×distribute-rgt-out--_binary64
114×distribute-rgt-neg-in_binary64
112×distribute-lft-neg-in_binary64 distribute-lft-out_binary64
104×distribute-rgt-neg-out_binary64
79×associate-+r+_binary64
77×associate--r+_binary64
73×associate-/r*_binary64
72×distribute-lft-out--_binary64 associate-+l+_binary64
62×associate-+l-_binary64 +-commutative_binary64
53×cancel-sign-sub_binary64
50×sqr-pow_binary64
43×mul0-rgt_binary64 mul0-lft_binary64
39×associate-/l/_binary64
34×associate-+r-_binary64
33×cube-prod_binary64
30×pow-plus_binary64
28×sub0-neg_binary64
27×associate--l+_binary64
26×distribute-lft-neg-out_binary64
20×distribute-neg-out_binary64
18×cube-unmult_binary64
14×+-rgt-identity_binary64
13×unpow3_binary64 difference-of-squares_binary64
12×remove-double-neg_binary64
rem-sqrt-square_binary64 swap-sqr_binary64
pow-sqr_binary64 associate--r-_binary64
cube-mult_binary64 sqr-neg_binary64
unpow2_binary64 cube-neg_binary64
+-lft-identity_binary64 associate--l-_binary64
*-lft-identity_binary64 --rgt-identity_binary64
unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-inverses_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 times-frac_binary64 div-sub_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 div0_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
26 → 14
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
066304
1141301
2284301
3626295
41464292
53351292
64509292
75110292

prune8.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215
Error
0b
Counts
15 → 2
Compiler

Compiled 161 to 94 computations (41.6% saved)

localize7.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (+.f64 y x))
0.5b
(pow.f64 (sqrt.f64 (+.f64 y x)) 3)
19.8b
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) 3))

rewrite55.0ms (5.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
24×*-un-lft-identity_binary64
20×cbrt-prod_binary64 sqrt-prod_binary64
15×add-sqr-sqrt_binary64
14×add-cube-cbrt_binary64 unpow-prod-down_binary64 cube-prod_binary64
pow1_binary64 sqrt-div_binary64
distribute-lft-out_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 cube-div_binary64
add-log-exp_binary64 flip3-+_binary64 flip-+_binary64 pow-unpow_binary64 pow-pow_binary64
cbrt-div_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 pow1/2_binary64 sqrt-pow1_binary64
pow1/3_binary64 rem-cbrt-cube_binary64 pow-to-exp_binary64 pow-exp_binary64 rem-cube-cbrt_binary64 sqrt-pow2_binary64 rem-sqrt-square_binary64
Counts
3 → 83
Calls

3 calls:

5.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) 3))
5.0ms
(pow.f64 (sqrt.f64 (+.f64 y x)) 3)
3.0ms
(sqrt.f64 (+.f64 y x))
Compiler

Compiled 851 to 398 computations (53.2% saved)

series77.0ms (7.2%)

Error
0b
Counts
3 → 31
Calls

3 calls:

29.0ms
(pow.f64 (sqrt.f64 (+.f64 y x)) 3)
18.0ms
(sqrt.f64 (+.f64 y x))
17.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) 3))
Compiler

Compiled 943 to 812 computations (13.9% saved)

simplify119.0ms (11.1%)

Algorithm
egg-herbie
Rules
606×associate-*l*_binary64
535×associate-*r*_binary64
489×log-prod_binary64
355×exp-prod_binary64
290×unswap-sqr_binary64
271×cube-prod_binary64
161×swap-sqr_binary64
160×sqr-pow_binary64
118×*-commutative_binary64
76×distribute-rgt-in_binary64
70×distribute-lft-in_binary64
67×cancel-sign-sub-inv_binary64
59×sub-neg_binary64
52×log-pow_binary64
46×+-commutative_binary64
41×pow-sqr_binary64
40×rem-sqrt-square_binary64
37×distribute-rgt-neg-in_binary64
35×distribute-lft-neg-in_binary64
32×cube-unmult_binary64 associate-+l+_binary64
31×pow-plus_binary64
30×unpow3_binary64
27×neg-sub0_binary64 associate-+r+_binary64
26×neg-mul-1_binary64
22×exp-sum_binary64
19×cube-mult_binary64 associate--l+_binary64
15×associate-+r-_binary64
14×+-rgt-identity_binary64 difference-of-squares_binary64
13×associate-/r*_binary64
11×unsub-neg_binary64 associate-+l-_binary64
10×rem-cbrt-cube_binary64
rem-square-sqrt_binary64
sub0-neg_binary64
*-rgt-identity_binary64 *-lft-identity_binary64 distribute-rgt-out_binary64
unpow1/2_binary64 unpow1_binary64 distribute-lft-neg-out_binary64 count-2_binary64 associate-/l/_binary64 associate-*r/_binary64
unpow2_binary64 distribute-rgt-out--_binary64
1-exp_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 distribute-rgt-neg-out_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-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 times-frac_binary64 div-sub_binary64 mul-1-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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64 associate--r+_binary64
Counts
114 → 78
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01371422
13061414
27061391
331241391
449211391
550331391

prune29.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh000
Picked011
Done011
Total78280
Error
0b
Counts
80 → 2
Compiler

Compiled 617 to 331 computations (46.4% saved)

regimes52.0ms (4.8%)

Accuracy

Total 0.0b remaining (17%)

Threshold costs 0.0b (17%)

Compiler

Compiled 166 to 166 computations (0% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

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
056
166
266

end6.0ms (0.5%)

Remove

(sort x y)

Compiler

Compiled 12 to 12 computations (0% saved)

sample492.0ms (45.8%)

Algorithm
intervals
Results
190.0ms8000×body128valid
4.0ms224×body128nan
Compiler

Compiled 23 to 31 computations (-34.8% saved)

Profiling

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