Details

Time bar (total: 2.3s)

analyze281.0ms (12%)

Algorithm
search
egg-herbie
Rules
1951×div-sub_binary64
1001×sub-neg_binary64
535×cancel-sign-sub-inv_binary64
510×times-frac_binary64
419×neg-mul-1_binary64
404×distribute-rgt-neg-in_binary64
394×distribute-rgt-neg-out_binary64
369×*-commutative_binary64
354×distribute-neg-frac_binary64
353×distribute-frac-neg_binary64
318×distribute-lft-neg-in_binary64
280×associate-/r*_binary64
252×associate-/l*_binary64
247×neg-sub0_binary64
243×distribute-lft-neg-out_binary64
158×unsub-neg_binary64
128×associate-*r*_binary64
124×distribute-rgt-in_binary64
118×associate--l-_binary64
112×associate-*l/_binary64
108×associate--r-_binary64
105×associate--r+_binary64
94×associate-*r/_binary64
93×remove-double-neg_binary64
92×associate-+r-_binary64
89×+-commutative_binary64
78×associate-/r/_binary64
76×associate-*l*_binary64
68×distribute-lft-in_binary64
66×/-rgt-identity_binary64
62×cancel-sign-sub_binary64
46×associate--l+_binary64
38×associate-+l-_binary64
36×div0_binary64 distribute-neg-in_binary64
30×mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out--_binary64
25×+-rgt-identity_binary64
22×associate-+r+_binary64
21×sub0-neg_binary64
20×*-lft-identity_binary64 associate-/l/_binary64
18×*-rgt-identity_binary64
14×--rgt-identity_binary64
12×distribute-neg-out_binary64 distribute-lft-out_binary64
distribute-rgt-out_binary64
mul-1-neg_binary64 lft-mult-inverse_binary64 remove-double-div_binary64
*-inverses_binary64 distribute-rgt1-in_binary64 distribute-lft-out--_binary64 associate-+l+_binary64
+-lft-identity_binary64 distribute-lft1-in_binary64
1-exp_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 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 +-inverses_binary64 rgt-mult-inverse_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 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12426
26826
314226
423926
546026
683526
7245126
8267326
9277426
10288526
11289326
12294926
13295126
14335526
15371526
16402726
17426726
18455526
19485126
20476826
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
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample16.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify137.0ms (5.8%)

Algorithm
egg-herbie
Rules
890×div-sub_binary64
546×times-frac_binary64
503×sub-neg_binary64
395×neg-sub0_binary64
385×neg-mul-1_binary64
353×distribute-neg-frac_binary64
330×distribute-lft-neg-out_binary64
291×unsub-neg_binary64
288×associate-/l*_binary64
257×associate-/r*_binary64
248×associate-*l/_binary64
214×distribute-rgt-in_binary64
212×distribute-frac-neg_binary64
195×associate--r+_binary64
190×associate-*l*_binary64
188×associate-*r*_binary64
186×distribute-rgt-neg-in_binary64
177×+-commutative_binary64
173×associate-/r/_binary64
161×distribute-lft-neg-in_binary64
158×associate-*r/_binary64
150×distribute-lft-in_binary64
148×remove-double-neg_binary64
102×associate-/l/_binary64
99×distribute-rgt-neg-out_binary64
83×swap-sqr_binary64
78×associate-+l-_binary64
77×distribute-neg-in_binary64
64×associate--r-_binary64 *-commutative_binary64
62×unswap-sqr_binary64
61×cancel-sign-sub-inv_binary64
54×associate--l-_binary64
52×associate-+r-_binary64
48×associate--l+_binary64
44×distribute-rgt-out--_binary64
36×mul0-rgt_binary64
34×--rgt-identity_binary64
30×sqr-neg_binary64
28×/-rgt-identity_binary64 distribute-lft-out--_binary64
27×mul0-lft_binary64
26×*-lft-identity_binary64 +-lft-identity_binary64
25×*-rgt-identity_binary64 distribute-neg-out_binary64
23×sub0-neg_binary64
22×distribute-lft-out_binary64
20×div0_binary64
17×+-rgt-identity_binary64
16×remove-double-div_binary64 distribute-rgt-out_binary64
12×mul-1-neg_binary64
10×associate-+l+_binary64
lft-mult-inverse_binary64 distribute-rgt1-in_binary64
associate-+r+_binary64
*-inverses_binary64
cancel-sign-sub_binary64 distribute-lft1-in_binary64
rgt-mult-inverse_binary64
1-exp_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 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 rem-sqrt-square_binary64 rem-square-sqrt_binary64 +-inverses_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11613
24013
38013
415113
524413
638613
799013
8279913
9332813
10372913
11392813
12414713
13432213
14485313

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
13.8b
Counts
1 → 1
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

13.5b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

rewrite41.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64 *-un-lft-identity_binary64
times-frac_binary64 associate-/r*_binary64
prod-exp_binary64 div-exp_binary64 add-cube-cbrt_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64 associate-/r/_binary64
pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64 associate-/l*_binary64
Counts
1 → 29
Calls

1 calls:

9.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
Compiler

Compiled 466 to 221 computations (52.6% saved)

series27.0ms (1.1%)

Error
0.7b
Counts
1 → 12
Calls

1 calls:

22.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
Compiler

Compiled 245 to 221 computations (9.8% saved)

simplify80.0ms (3.4%)

Algorithm
egg-herbie
Rules
603×associate-*l*_binary64
446×associate-*r*_binary64
426×associate-*l/_binary64
421×associate-/l/_binary64
355×associate-/r*_binary64
288×associate-*r/_binary64
243×associate-/r/_binary64
145×div-sub_binary64
137×log-div_binary64
107×associate-/l*_binary64
92×cube-div_binary64
76×log-prod_binary64
73×cube-prod_binary64
63×times-frac_binary64
39×*-commutative_binary64
30×sub-neg_binary64
28×distribute-lft-neg-in_binary64 distribute-rgt-in_binary64
27×distribute-lft-in_binary64
26×distribute-rgt-neg-in_binary64
24×unswap-sqr_binary64
22×distribute-neg-frac_binary64 associate--l+_binary64
19×cancel-sign-sub-inv_binary64
18×unpow3_binary64 neg-mul-1_binary64 neg-sub0_binary64 sqr-pow_binary64
17×+-commutative_binary64
16×cube-mult_binary64
14×*-rgt-identity_binary64
12×swap-sqr_binary64 associate--l-_binary64
exp-prod_binary64 cube-unmult_binary64
log-rec_binary64 distribute-neg-in_binary64
log-pow_binary64 associate-+l+_binary64
distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
unsub-neg_binary64 difference-of-squares_binary64 distribute-rgt-out--_binary64
unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 unpow1_binary64 exp-lft-sqr_binary64 rem-sqrt-square_binary64 /-rgt-identity_binary64 *-inverses_binary64 distribute-rgt-out_binary64 distribute-lft-out_binary64 associate--r-_binary64 associate--r+_binary64 associate-+r+_binary64
1-exp_binary64 cube-neg_binary64 sqr-neg_binary64 *-lft-identity_binary64 remove-double-neg_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_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 count-2_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
41 → 28
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092678
1246562
21040559
34226559
44990559
54988559

prune15.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New24428
Fresh000
Picked101
Done000
Total25429
Error
0.0b
Counts
29 → 4
Compiler

Compiled 272 to 152 computations (44.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
0.2b
(/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

rewrite131.0ms (5.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
96×add-sqr-sqrt_binary64
95×times-frac_binary64
76×*-un-lft-identity_binary64
36×add-cube-cbrt_binary64
25×distribute-lft-out--_binary64
20×difference-of-squares_binary64
13×cancel-sign-sub-inv_binary64
12×div-inv_binary64 associate-/r*_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-/r/_binary64 associate-/l*_binary64
div-exp_binary64 frac-sub_binary64 flip3--_binary64 flip--_binary64
inv-pow_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 diff-log_binary64 sub-neg_binary64
Counts
2 → 104
Calls

2 calls:

16.0ms
(/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
15.0ms
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
Compiler

Compiled 1908 to 1537 computations (19.4% saved)

series56.0ms (2.4%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

27.0ms
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x))
23.0ms
(/.f64 1 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
Compiler

Compiled 454 to 432 computations (4.8% saved)

simplify136.0ms (5.8%)

Algorithm
egg-herbie
Rules
310×cancel-sign-sub-inv_binary64
309×associate-*l*_binary64
281×associate-*l/_binary64
277×associate-*r*_binary64
263×associate-/l*_binary64
222×exp-prod_binary64 associate-*r/_binary64
190×div-sub_binary64
154×associate-/r*_binary64
153×times-frac_binary64
151×*-commutative_binary64
137×exp-sum_binary64
135×sub-neg_binary64
124×associate-/l/_binary64
82×associate-/r/_binary64
80×neg-sub0_binary64
74×exp-diff_binary64 neg-mul-1_binary64
72×swap-sqr_binary64 distribute-rgt-neg-in_binary64
71×distribute-neg-frac_binary64
69×distribute-rgt-in_binary64
68×sqr-pow_binary64
67×unsub-neg_binary64
64×distribute-lft-in_binary64
62×cube-prod_binary64
60×unpow3_binary64
59×unswap-sqr_binary64
53×distribute-lft-neg-in_binary64
46×+-commutative_binary64
44×cube-div_binary64
43×*-rgt-identity_binary64
31×distribute-rgt-out_binary64
30×distribute-lft-neg-out_binary64
29×*-lft-identity_binary64
22×distribute-rgt-neg-out_binary64 associate-+r-_binary64
17×mul0-rgt_binary64 mul0-lft_binary64
16×distribute-lft-out_binary64 associate-+l-_binary64
15×distribute-frac-neg_binary64
14×sub0-neg_binary64 +-rgt-identity_binary64
12×cube-unmult_binary64 div0_binary64 difference-of-squares_binary64
11×associate-+r+_binary64
10×pow-plus_binary64 /-rgt-identity_binary64 distribute-neg-in_binary64
log-div_binary64 associate-+l+_binary64
cube-mult_binary64
unpow1/2_binary64 pow-sqr_binary64 distribute-rgt-out--_binary64 associate--r+_binary64
log-prod_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64
remove-double-div_binary64
distribute-lft-out--_binary64
log-rec_binary64 unpow2_binary64 unpow1_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 associate--r-_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-neg_binary64 count-2_binary64 associate--l-_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 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 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 rem-cube-cbrt_binary64 sqr-abs_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
128 → 83
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01822270
14212168
211412160
333952160
445532160
548612160

prune34.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New83083
Fresh033
Picked011
Done000
Total83487
Error
0.0b
Counts
87 → 4
Compiler

Compiled 697 to 538 computations (22.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 x y))
8.4b
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))

rewrite71.0ms (3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
35×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
30×times-frac_binary64
21×add-cube-cbrt_binary64 associate-*r*_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
prod-exp_binary64 cbrt-unprod_binary64
associate-/r*_binary64
associate-/r/_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-/l*_binary64
add-log-exp_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64
associate-*r/_binary64 associate-*l*_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 78
Calls

2 calls:

11.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
7.0ms
(/.f64 y (-.f64 x y))
Compiler

Compiled 1221 to 429 computations (64.9% saved)

series48.0ms (2.1%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

24.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
19.0ms
(/.f64 y (-.f64 x y))
Compiler

Compiled 516 to 443 computations (14.1% saved)

simplify104.0ms (4.5%)

Algorithm
egg-herbie
Rules
508×associate-/l*_binary64
427×associate-*r/_binary64
336×associate-*l/_binary64
335×*-commutative_binary64
329×times-frac_binary64
269×div-sub_binary64
171×associate-*l*_binary64
162×associate-/r*_binary64
136×unswap-sqr_binary64
133×associate-*r*_binary64
129×associate-/l/_binary64
106×associate-/r/_binary64
94×sub-neg_binary64
90×log-div_binary64
84×cube-div_binary64
82×log-prod_binary64
56×sqr-pow_binary64
54×*-rgt-identity_binary64
51×*-lft-identity_binary64
44×cube-prod_binary64
40×unpow3_binary64
36×+-commutative_binary64
34×exp-prod_binary64 cube-mult_binary64 unsub-neg_binary64 distribute-rgt-in_binary64
32×/-rgt-identity_binary64
31×neg-mul-1_binary64 neg-sub0_binary64
30×distribute-lft-in_binary64
24×distribute-rgt-neg-in_binary64
21×associate-+l+_binary64
20×distribute-lft-neg-in_binary64 associate-+r+_binary64
17×cancel-sign-sub-inv_binary64 associate-+r-_binary64
16×associate-+l-_binary64
13×swap-sqr_binary64
12×log-rec_binary64
10×difference-of-squares_binary64 distribute-neg-frac_binary64 associate--r+_binary64
+-rgt-identity_binary64 pow-sqr_binary64 distribute-neg-in_binary64
cube-unmult_binary64
sub0-neg_binary64
log-pow_binary64 exp-lft-sqr_binary64
unpow1/2_binary64 mul0-rgt_binary64 mul0-lft_binary64 distribute-lft-neg-out_binary64
unpow1_binary64 prod-exp_binary64 distribute-rgt-out--_binary64
exp-diff_binary64 exp-sum_binary64 distribute-rgt-neg-out_binary64 distribute-rgt-out_binary64 associate--l-_binary64
unpow2_binary64 pow-plus_binary64 rem-sqrt-square_binary64 *-inverses_binary64 remove-double-div_binary64 distribute-rgt1-in_binary64 distribute-lft-out_binary64 associate--r-_binary64 associate--l+_binary64
1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 remove-double-neg_binary64 --rgt-identity_binary64 difference-of-sqr--1_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-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-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-lft-identity_binary64 div0_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64
Counts
102 → 47
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01371483
13461321
212911310
338051310
448251310
549381310

prune13.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New47047
Fresh022
Picked011
Done011
Total47451
Error
0.0b
Counts
51 → 4
Compiler

Compiled 275 to 136 computations (50.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 y (/.f64 (*.f64 y y) x))
8.0b
(/.f64 (*.f64 y y) x)

rewrite31.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64
add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
times-frac_binary64 associate-/r*_binary64
pow1_binary64 div-exp_binary64 cbrt-undiv_binary64
prod-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 +-commutative_binary64
Counts
2 → 33
Calls

2 calls:

6.0ms
(/.f64 (*.f64 y y) x)
5.0ms
(+.f64 y (/.f64 (*.f64 y y) x))
Compiler

Compiled 498 to 186 computations (62.7% saved)

series45.0ms (1.9%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

25.0ms
(+.f64 y (/.f64 (*.f64 y y) x))
17.0ms
(/.f64 (*.f64 y y) x)
Compiler

Compiled 274 to 246 computations (10.2% saved)

simplify107.0ms (4.6%)

Algorithm
egg-herbie
Rules
751×unswap-sqr_binary64
313×*-commutative_binary64
257×associate-/l*_binary64
244×times-frac_binary64
197×distribute-rgt-out_binary64
167×sub-neg_binary64
151×distribute-rgt-in_binary64
143×associate-/l/_binary64
133×associate-*l/_binary64
120×distribute-lft-in_binary64
113×div-sub_binary64 cancel-sign-sub-inv_binary64
102×associate-*l*_binary64
94×associate-*r/_binary64
86×associate-*r*_binary64
84×unsub-neg_binary64
82×distribute-neg-frac_binary64 associate-/r*_binary64
79×log-prod_binary64
71×distribute-rgt-neg-in_binary64
66×sqr-pow_binary64 distribute-lft-neg-in_binary64 associate-+l+_binary64
64×neg-mul-1_binary64
62×associate-/r/_binary64
60×neg-sub0_binary64
54×associate-+r+_binary64
43×cube-prod_binary64
42×+-commutative_binary64
38×distribute-lft-out_binary64
37×associate-+l-_binary64
36×log-div_binary64
30×difference-of-squares_binary64
29×distribute-rgt-out--_binary64
28×associate--l-_binary64
27×unpow3_binary64 pow-plus_binary64 cube-div_binary64
21×associate--l+_binary64
19×exp-prod_binary64
18×associate-+r-_binary64
17×log-pow_binary64 swap-sqr_binary64 distribute-rgt1-in_binary64
15×cube-unmult_binary64 cube-mult_binary64
13×sub0-neg_binary64 associate--r+_binary64
12×+-rgt-identity_binary64 distribute-lft-neg-out_binary64
10×*-lft-identity_binary64
div0_binary64 associate--r-_binary64
mul0-rgt_binary64 mul0-lft_binary64
*-rgt-identity_binary64 pow-sqr_binary64 distribute-lft-out--_binary64
exp-sum_binary64 /-rgt-identity_binary64
remove-double-neg_binary64 distribute-rgt-neg-out_binary64
--rgt-identity_binary64 distribute-neg-in_binary64
unpow2_binary64 count-2_binary64
log-rec_binary64 distribute-frac-neg_binary64
unpow1/2_binary64 unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-sqrt-square_binary64 +-lft-identity_binary64 distribute-lft1-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 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 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 *-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-out_binary64
Counts
51 → 28
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066539
1163512
2451509
31845509
43346509
54921509
64976509
74928509

prune7.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New28028
Fresh011
Picked011
Done022
Total28432
Error
0.0b
Counts
32 → 4
Compiler

Compiled 150 to 73 computations (51.3% saved)

regimes146.0ms (6.2%)

Accuracy

Total 0.2b remaining (96.5%)

Threshold costs 0.2b (96.5%)

Compiler

Compiled 1362 to 1010 computations (25.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 +-commutative_binary64
1-exp_binary64 neg-mul-1_binary64 neg-sub0_binary64 distribute-neg-frac_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 unsub-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-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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11313
22013
32213
42313
52113

end1.0ms (0%)

Compiler

Compiled 9 to 9 computations (0% saved)

sample783.0ms (33.5%)

Algorithm
intervals
Results
432.0ms8000×body128valid
Compiler

Compiled 93 to 79 computations (15.1% saved)

Profiling

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