Details

Time bar (total: 2.9s)

analyze106.0ms (3.7%)

Algorithm
search
egg-herbie
Rules
477×div-sub_binary64
435×times-frac_binary64
239×associate-/l*_binary64
162×sub-neg_binary64
131×associate-/l/_binary64
120×cancel-sign-sub-inv_binary64
94×distribute-rgt-in_binary64
88×associate-/r*_binary64
84×associate-/r/_binary64
80×distribute-lft-in_binary64
52×unsub-neg_binary64
48×distribute-rgt-neg-in_binary64
47×distribute-frac-neg_binary64
46×distribute-lft-neg-in_binary64
38×distribute-neg-frac_binary64
32×associate-*r*_binary64
30×associate--l-_binary64
27×distribute-rgt-neg-out_binary64
24×associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64
23×distribute-lft-neg-out_binary64 associate--r-_binary64 associate--r+_binary64
22×neg-sub0_binary64
17×neg-mul-1_binary64
16×mul0-rgt_binary64 div0_binary64
15×*-commutative_binary64 +-commutative_binary64
12×/-rgt-identity_binary64
10×*-lft-identity_binary64
mul-1-neg_binary64
remove-double-div_binary64
sub0-neg_binary64 distribute-neg-out_binary64 associate-+l-_binary64
associate-+r-_binary64 associate-+r+_binary64
*-rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-lft_binary64 *-inverses_binary64 distribute-neg-in_binary64
1-exp_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_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 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 remove-double-neg_binary64 --rgt-identity_binary64 +-inverses_binary64 lft-mult-inverse_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 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11320
22120
33120
44520
57420
69620
715220
837020
965220
1077420
1183820
1288820
1388820
1488220
1588220
1678220
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
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample14.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify65.0ms (2.3%)

Algorithm
egg-herbie
Rules
382×times-frac_binary64
377×div-sub_binary64
168×associate-/l*_binary64
156×sub-neg_binary64
134×associate-/l/_binary64
91×associate-/r*_binary64
90×distribute-rgt-in_binary64
75×associate-/r/_binary64
69×distribute-lft-in_binary64
62×unsub-neg_binary64
58×cancel-sign-sub-inv_binary64
38×distribute-frac-neg_binary64
32×associate--l-_binary64
30×associate--r-_binary64
27×distribute-neg-frac_binary64 distribute-rgt-neg-in_binary64
21×neg-sub0_binary64
20×neg-mul-1_binary64
19×distribute-lft-neg-in_binary64
18×associate--r+_binary64
16×mul0-rgt_binary64 div0_binary64 associate-*l/_binary64
14×sub0-neg_binary64 distribute-rgt-neg-out_binary64 associate-*l*_binary64
13×*-commutative_binary64 +-commutative_binary64
12×distribute-lft-neg-out_binary64
/-rgt-identity_binary64
*-lft-identity_binary64 associate-*r*_binary64 associate-+l-_binary64
distribute-neg-in_binary64 associate-+r+_binary64
mul-1-neg_binary64 *-rgt-identity_binary64 associate-*r/_binary64 associate-+r-_binary64 associate-+l+_binary64
+-rgt-identity_binary64 +-lft-identity_binary64
mul0-lft_binary64 *-inverses_binary64 distribute-neg-out_binary64 associate--l+_binary64
1-exp_binary64 remove-double-neg_binary64 --rgt-identity_binary64 remove-double-div_binary64 distribute-rgt-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 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 lft-mult-inverse_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 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1910
21410
32010
42610
54710
66710
78710
812710
928310
1039310
1165610
1279810
1386010
1487610
1587810
1688210
1788210
1878210

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite46.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
distribute-lft-out_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64 associate-/r*_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 associate-/r/_binary64
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 flip3--_binary64 flip--_binary64
Counts
1 → 45
Calls

1 calls:

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

Compiled 567 to 128 computations (77.4% saved)

series39.0ms (1.4%)

Error
0.0b
Counts
1 → 21
Calls

1 calls:

31.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 401 to 358 computations (10.7% saved)

simplify93.0ms (3.3%)

Algorithm
egg-herbie
Rules
385×distribute-rgt-in_binary64
358×cancel-sign-sub-inv_binary64
340×div-sub_binary64
328×distribute-lft-in_binary64
290×associate-/l/_binary64
232×associate-/r/_binary64
132×associate-/l*_binary64
119×times-frac_binary64
113×distribute-rgt-neg-in_binary64
105×distribute-lft-neg-in_binary64
101×associate-*l*_binary64
100×sub-neg_binary64
95×unswap-sqr_binary64 associate-/r*_binary64
87×associate-*r*_binary64
85×distribute-rgt-out_binary64
83×*-commutative_binary64
82×unsub-neg_binary64
76×associate-*l/_binary64
70×distribute-rgt-neg-out_binary64
63×distribute-neg-frac_binary64
56×distribute-neg-in_binary64
53×neg-sub0_binary64
52×distribute-lft-neg-out_binary64 distribute-lft-out_binary64 associate-*r/_binary64
46×neg-mul-1_binary64
44×+-commutative_binary64
41×associate-+l+_binary64 associate-+r+_binary64
33×cube-prod_binary64 associate--r+_binary64
27×sqr-pow_binary64
25×distribute-neg-out_binary64
21×distribute-frac-neg_binary64
19×distribute-rgt-out--_binary64
18×difference-of-squares_binary64
16×associate-+l-_binary64 associate-+r-_binary64
15×cube-unmult_binary64
14×unpow3_binary64
13×*-rgt-identity_binary64
12×+-rgt-identity_binary64
11×cube-div_binary64 sub0-neg_binary64
10×log-prod_binary64 /-rgt-identity_binary64 distribute-lft-out--_binary64
sqr-neg_binary64
distribute-rgt1-in_binary64
pow-plus_binary64 cube-mult_binary64
cube-neg_binary64 swap-sqr_binary64
*-lft-identity_binary64 associate--l+_binary64
log-div_binary64 rem-sqrt-square_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 pow-sqr_binary64 distribute-lft1-in_binary64 associate--r-_binary64 associate--l-_binary64
1-exp_binary64 remove-double-neg_binary64 --rgt-identity_binary64 *-inverses_binary64 cancel-sign-sub_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_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 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 mul0-rgt_binary64 mul0-lft_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
Counts
66 → 31
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021197
12521116
26761069
319351063
443871063
550221063

prune12.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New27431
Fresh000
Picked011
Done000
Total27532
Error
0.0b
Counts
32 → 5
Compiler

Compiled 202 to 98 computations (51.5% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite160.0ms (5.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
150×*-un-lft-identity_binary64
100×times-frac_binary64
98×add-sqr-sqrt_binary64
58×cbrt-prod_binary64
56×add-cube-cbrt_binary64
52×unpow-prod-down_binary64 cube-prod_binary64
26×distribute-lft-out_binary64
21×difference-of-squares_binary64 distribute-lft-out--_binary64
10×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64 flip3--_binary64 flip--_binary64 associate-/r*_binary64
pow1_binary64 associate-/l*_binary64
add-log-exp_binary64 pow-unpow_binary64
cube-div_binary64 unpow3_binary64 cube-mult_binary64 sqr-pow_binary64 div-exp_binary64 pow-exp_binary64 rem-cube-cbrt_binary64 cbrt-undiv_binary64 associate-/l/_binary64
pow1/3_binary64 cbrt-div_binary64 rem-cbrt-cube_binary64 pow-pow_binary64 pow-to-exp_binary64 frac-2neg_binary64 clear-num_binary64 flip3-+_binary64 flip-+_binary64
Counts
3 → 185
Calls

3 calls:

12.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
10.0ms
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
8.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 2139 to 702 computations (67.2% saved)

series140.0ms (4.9%)

Error
0.0b
Counts
3 → 63
Calls

3 calls:

44.0ms
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
38.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
35.0ms
(/.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 1395 to 1252 computations (10.3% saved)

simplify155.0ms (5.4%)

Algorithm
egg-herbie
Rules
472×unswap-sqr_binary64
340×distribute-rgt-in_binary64
283×distribute-lft-in_binary64
276×associate-/l/_binary64
148×sqr-pow_binary64
99×associate-*l/_binary64
93×associate-/l*_binary64 associate-*r/_binary64
87×log-prod_binary64
84×cube-div_binary64
79×distribute-neg-in_binary64
66×log-div_binary64
58×exp-prod_binary64
55×*-commutative_binary64
50×+-commutative_binary64
49×cube-prod_binary64 associate-*r*_binary64
48×unpow3_binary64
47×cube-mult_binary64 times-frac_binary64
46×sub-neg_binary64
45×neg-sub0_binary64 distribute-rgt-neg-in_binary64
44×neg-mul-1_binary64 distribute-lft-neg-in_binary64
41×associate-*l*_binary64
36×associate-/r*_binary64
35×swap-sqr_binary64
31×rem-cbrt-cube_binary64
30×cancel-sign-sub-inv_binary64
28×associate-+r+_binary64
27×distribute-neg-frac_binary64
24×associate-+l+_binary64
21×*-rgt-identity_binary64
18×unsub-neg_binary64
17×associate--r+_binary64
15×rem-sqrt-square_binary64 associate-/r/_binary64
14×log-pow_binary64
13×pow-sqr_binary64 distribute-rgt-out_binary64
11×div-sub_binary64 distribute-lft-neg-out_binary64
pow-plus_binary64 *-lft-identity_binary64
distribute-rgt-neg-out_binary64
cube-unmult_binary64
difference-of-squares_binary64 distribute-rgt-out--_binary64
/-rgt-identity_binary64 distribute-lft-out_binary64
unpow1/2_binary64 unpow1_binary64 rem-cube-cbrt_binary64 rem-square-sqrt_binary64 distribute-rgt1-in_binary64 count-2_binary64
unpow2_binary64
1-exp_binary64 rem-3cbrt-lft_binary64 mul-1-neg_binary64 remove-double-neg_binary64 *-inverses_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-rec_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 sqr-abs_binary64 sqr-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 difference-of-sqr--1_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 associate--l-_binary64 associate--l+_binary64
Counts
248 → 183
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02325173
16344767
219714623
351304623

prune53.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1830183
Fresh033
Picked011
Done011
Total1835188
Error
0.0b
Counts
188 → 5
Compiler

Compiled 1116 to 459 computations (58.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite97.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
43×add-sqr-sqrt_binary64
39×*-un-lft-identity_binary64
32×times-frac_binary64
22×add-cube-cbrt_binary64
21×associate-*l*_binary64
15×add-exp-log_binary64
add-cbrt-cube_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
pow1_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 associate-/r/_binary64 associate-*r*_binary64
unswap-sqr_binary64 associate-/l*_binary64
1-exp_binary64 rec-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 flip3-+_binary64 frac-times_binary64 flip-+_binary64 associate-*r/_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64
pow-prod-down_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 associate-*l/_binary64 distribute-lft-out_binary64 *-commutative_binary64 inv-pow_binary64 pow-flip_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 91
Calls

2 calls:

15.0ms
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
5.0ms
(/.f64 1 (-.f64 x y))
Compiler

Compiled 1386 to 572 computations (58.7% saved)

series77.0ms (2.7%)

Error
0.0b
Counts
2 → 42
Calls

2 calls:

34.0ms
(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))
30.0ms
(/.f64 1 (-.f64 x y))
Compiler

Compiled 944 to 760 computations (19.5% saved)

simplify135.0ms (4.7%)

Algorithm
egg-herbie
Rules
829×div-sub_binary64
499×times-frac_binary64
414×distribute-rgt-in_binary64
372×distribute-lft-in_binary64
284×associate-/l*_binary64
237×associate-*l/_binary64
175×associate-/r*_binary64
166×unswap-sqr_binary64 *-commutative_binary64
165×sub-neg_binary64
159×associate-*r/_binary64
99×associate-+r+_binary64
98×associate-+l+_binary64
86×unsub-neg_binary64
82×associate-*l*_binary64
79×associate-*r*_binary64
73×neg-mul-1_binary64
72×neg-sub0_binary64 *-lft-identity_binary64 +-commutative_binary64
69×*-rgt-identity_binary64
65×associate-/r/_binary64
63×exp-prod_binary64
58×distribute-neg-in_binary64
54×associate--r+_binary64
53×sqr-pow_binary64
40×cube-prod_binary64
39×associate-+r-_binary64
37×cube-div_binary64
36×distribute-rgt-neg-in_binary64
34×associate-+l-_binary64
33×cancel-sign-sub-inv_binary64
31×exp-sum_binary64
30×distribute-lft-neg-in_binary64
25×associate-/l/_binary64
23×distribute-neg-frac_binary64
22×exp-diff_binary64
21×log-prod_binary64 sub0-neg_binary64
20×unpow3_binary64
19×+-rgt-identity_binary64
18×/-rgt-identity_binary64 difference-of-squares_binary64
17×log-div_binary64
14×cube-mult_binary64
12×cube-unmult_binary64 distribute-rgt-out_binary64
11×distribute-lft-neg-out_binary64
10×associate--l+_binary64
distribute-rgt-neg-out_binary64
unpow1/2_binary64
pow-sqr_binary64 associate--l-_binary64
log-rec_binary64 cube-neg_binary64 swap-sqr_binary64 distribute-rgt1-in_binary64 distribute-rgt-out--_binary64
rem-sqrt-square_binary64 --rgt-identity_binary64 distribute-lft-out_binary64
pow-plus_binary64 *-inverses_binary64
unpow2_binary64 unpow1_binary64 sqr-neg_binary64 remove-double-neg_binary64 +-lft-identity_binary64 distribute-neg-out_binary64 associate--r-_binary64
1-exp_binary64 exp-1-e_binary64 div0_binary64 rgt-mult-inverse_binary64 distribute-lft1-in_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-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 mul0-rgt_binary64 mul0-lft_binary64 +-inverses_binary64 lft-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-lft-out--_binary64
Counts
133 → 98
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01572050
14621876
213371802
337261802
446741802
560661802

prune49.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh022
Picked101
Done022
Total985103
Error
0b
Counts
103 → 5
Compiler

Compiled 889 to 355 computations (60.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 x y))) (cbrt.f64 (/.f64 1 (-.f64 x y))))
0.6b
(cbrt.f64 (/.f64 1 (-.f64 x y)))
0.6b
(cbrt.f64 (/.f64 1 (-.f64 x y)))
0.6b
(cbrt.f64 (/.f64 1 (-.f64 x y)))

rewrite230.0ms (8.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
187×cbrt-prod_binary64
157×add-sqr-sqrt_binary64
145×*-un-lft-identity_binary64
133×times-frac_binary64
75×add-cube-cbrt_binary64
32×swap-sqr_binary64
27×distribute-lft-out--_binary64
24×associate-*l*_binary64 associate-*r*_binary64
21×difference-of-squares_binary64
16×unswap-sqr_binary64
14×associate-/r/_binary64
11×pow1_binary64
pow1/3_binary64 div-inv_binary64
cbrt-div_binary64 flip3--_binary64 flip--_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_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 associate-*l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
4 → 207
Calls

4 calls:

27.0ms
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 x y))) (cbrt.f64 (/.f64 1 (-.f64 x y))))
6.0ms
(cbrt.f64 (/.f64 1 (-.f64 x y)))
5.0ms
(cbrt.f64 (/.f64 1 (-.f64 x y)))
5.0ms
(cbrt.f64 (/.f64 1 (-.f64 x y)))
Compiler

Compiled 5987 to 3132 computations (47.7% saved)

series206.0ms (7.2%)

Error
0b
Counts
4 → 45
Calls

4 calls:

67.0ms
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 x y))) (cbrt.f64 (/.f64 1 (-.f64 x y))))
40.0ms
(cbrt.f64 (/.f64 1 (-.f64 x y)))
38.0ms
(cbrt.f64 (/.f64 1 (-.f64 x y)))
36.0ms
(cbrt.f64 (/.f64 1 (-.f64 x y)))
Compiler

Compiled 3378 to 2610 computations (22.7% saved)

simplify252.0ms (8.8%)

Algorithm
egg-herbie
Rules
536×associate-/l/_binary64
319×*-commutative_binary64
300×unswap-sqr_binary64
266×distribute-rgt-in_binary64
229×distribute-lft-in_binary64
208×div-sub_binary64
202×sqr-pow_binary64
180×associate-/r*_binary64
153×times-frac_binary64
134×associate-*r*_binary64
125×associate-/l*_binary64
124×associate-*l*_binary64
83×cancel-sign-sub-inv_binary64
81×sub-neg_binary64
65×associate-+r+_binary64
62×swap-sqr_binary64
61×exp-prod_binary64
59×associate-+l+_binary64
54×exp-sum_binary64
51×+-commutative_binary64
46×log-prod_binary64
44×distribute-rgt-neg-in_binary64
41×pow-sqr_binary64
40×distribute-lft-neg-in_binary64
36×unsub-neg_binary64 *-rgt-identity_binary64
34×difference-of-squares_binary64
32×exp-diff_binary64
31×neg-mul-1_binary64 distribute-neg-in_binary64
30×*-lft-identity_binary64 associate-/r/_binary64
29×distribute-frac-neg_binary64
27×neg-sub0_binary64
26×cube-prod_binary64 distribute-rgt-out_binary64
25×associate-+r-_binary64
23×distribute-lft-neg-out_binary64
21×pow-plus_binary64
20×associate-*l/_binary64
19×rem-sqrt-square_binary64 associate-*r/_binary64
16×unpow1/3_binary64
15×count-2_binary64
14×/-rgt-identity_binary64 distribute-neg-frac_binary64
13×cube-unmult_binary64 distribute-rgt-neg-out_binary64
12×log-pow_binary64 +-rgt-identity_binary64 associate-+l-_binary64
11×unpow3_binary64
log-div_binary64 div0_binary64
exp-to-pow_binary64
unpow2_binary64 sub0-neg_binary64 associate--r+_binary64
unpow1/2_binary64 rem-exp-log_binary64 mul0-rgt_binary64 mul0-lft_binary64
prod-exp_binary64 cube-mult_binary64 cube-div_binary64
unpow1_binary64 distribute-lft-out_binary64
log-rec_binary64 exp-neg_binary64 rem-3cbrt-lft_binary64 sqr-neg_binary64 cancel-sign-sub_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 remove-double-neg_binary64 +-lft-identity_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_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 pow-base-0_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 --rgt-identity_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 distribute-neg-out_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64
Counts
252 → 175
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02096190
14066165
210115911
315035877
429835637
551705637

prune90.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1750175
Fresh022
Picked011
Done022
Total1755180
Error
0b
Counts
180 → 5
Compiler

Compiled 3070 to 1654 computations (46.1% saved)

regimes256.0ms (9%)

Accuracy

Total 0.0b remaining (65.2%)

Threshold costs 0.0b (65.2%)

Compiler

Compiled 3350 to 2177 computations (35% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64 neg-mul-1_binary64 neg-sub0_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-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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11313
21713
31913
42013
51913

end1.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample546.0ms (19.1%)

Algorithm
intervals
Results
197.0ms8000×body128valid
Compiler

Compiled 94 to 75 computations (20.2% saved)

Profiling

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