Details

Time bar (total: 3.4s)

analyze469.0ms (13.6%)

Algorithm
search
egg-herbie
Rules
856×div-sub_binary64
737×times-frac_binary64
632×unsub-neg_binary64
468×sub-neg_binary64
458×neg-mul-1_binary64
436×distribute-rgt-in_binary64
405×neg-sub0_binary64
337×associate-/l*_binary64
313×distribute-lft-in_binary64
206×distribute-rgt-neg-out_binary64
199×associate-/r*_binary64
196×distribute-lft-neg-out_binary64
187×associate-*l/_binary64
168×associate-/r/_binary64
153×distribute-frac-neg_binary64
136×distribute-rgt-out_binary64
125×associate-*l*_binary64
123×associate-*r*_binary64
98×distribute-neg-frac_binary64
76×associate-/l/_binary64
71×cancel-sign-sub-inv_binary64
63×associate-*r/_binary64
62×associate--r+_binary64
60×remove-double-div_binary64
58×mul0-rgt_binary64 mul0-lft_binary64
54×*-commutative_binary64
52×associate-+r+_binary64
51×associate--l+_binary64
46×+-commutative_binary64
43×associate-+l-_binary64
38×distribute-rgt-out--_binary64
37×distribute-neg-out_binary64
35×distribute-neg-in_binary64
34×sub0-neg_binary64
33×distribute-rgt-neg-in_binary64
31×*-lft-identity_binary64
26×associate-+l+_binary64
24×distribute-lft-out_binary64
23×*-rgt-identity_binary64 distribute-lft-neg-in_binary64
22×cancel-sign-sub_binary64
18×/-rgt-identity_binary64 associate--l-_binary64
16×associate-+r-_binary64
14×+-rgt-identity_binary64
10×distribute-rgt1-in_binary64 associate--r-_binary64
mul-1-neg_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
*-inverses_binary64
remove-double-neg_binary64 +-lft-identity_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 --rgt-identity_binary64 div0_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 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02152
17552
215152
354952
4134952
5298052
6391152
7517652
033
133
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
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms24×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify376.0ms (10.9%)

Algorithm
egg-herbie
Rules
1012×div-sub_binary64
942×associate-/l/_binary64
633×neg-mul-1_binary64
604×sub-neg_binary64
568×neg-sub0_binary64
475×distribute-rgt-in_binary64
426×distribute-rgt-neg-in_binary64
410×*-commutative_binary64
380×distribute-lft-in_binary64
361×distribute-lft-neg-in_binary64
304×remove-double-neg_binary64
301×distribute-rgt-neg-out_binary64
282×distribute-lft-neg-out_binary64
280×cancel-sign-sub-inv_binary64
247×times-frac_binary64
237×distribute-rgt-out--_binary64
212×distribute-neg-in_binary64
178×distribute-neg-frac_binary64
156×distribute-rgt-out_binary64
152×distribute-frac-neg_binary64
148×associate-/l*_binary64
136×distribute-lft-out--_binary64
130×associate--r+_binary64
122×associate-*r*_binary64
119×distribute-neg-out_binary64
115×+-commutative_binary64
113×associate-*l*_binary64
106×associate--r-_binary64
100×distribute-lft-out_binary64
89×unsub-neg_binary64
85×mul0-lft_binary64
84×mul0-rgt_binary64
81×associate-*l/_binary64
80×associate-*r/_binary64
74×div0_binary64 associate-/r*_binary64
68×associate--l-_binary64
52×associate-/r/_binary64
51×associate-+l-_binary64
38×*-lft-identity_binary64
34×sub0-neg_binary64
29×*-rgt-identity_binary64
25×associate--l+_binary64
24×--rgt-identity_binary64
23×associate-+r+_binary64
20×associate-+l+_binary64
19×/-rgt-identity_binary64
17×distribute-rgt1-in_binary64
11×+-rgt-identity_binary64 +-lft-identity_binary64
10×associate-+r-_binary64
mul-1-neg_binary64
distribute-lft1-in_binary64
swap-sqr_binary64
sqr-neg_binary64
1-exp_binary64 *-inverses_binary64 rgt-mult-inverse_binary64 remove-double-div_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 lft-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 cancel-sign-sub_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
12513
24813
314813
428613
552313
6142813
7318313
8296313
9361913
10364713
11366313
12371213
13426513
14424213
15454413
16457613
17459613
18459713
19460913
20460913
21462113
22515213

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
8.4b
Counts
1 → 1
Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 (-.f64 y z) 1))
7.9b
(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite62.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
associate-*r*_binary64
pow1_binary64 associate-*r/_binary64
times-frac_binary64 associate-/r*_binary64 associate-*l*_binary64
prod-exp_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 flip3-+_binary64 associate-/l/_binary64 flip-+_binary64 distribute-lft-out_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 pow-prod-down_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
2 → 47
Calls

2 calls:

13.0ms
(*.f64 x (+.f64 (-.f64 y z) 1))
10.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
Compiler

Compiled 726 to 365 computations (49.7% saved)

series80.0ms (2.3%)

Error
1.3b
Counts
2 → 30
Calls

2 calls:

40.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
30.0ms
(*.f64 x (+.f64 (-.f64 y z) 1))
Compiler

Compiled 511 to 393 computations (23.1% saved)

simplify77.0ms (2.2%)

Algorithm
egg-herbie
Rules
511×associate-/l*_binary64
493×distribute-rgt-in_binary64
477×distribute-lft-in_binary64
465×times-frac_binary64
367×div-sub_binary64
298×associate-*l*_binary64
207×associate-*l/_binary64
191×associate-/l/_binary64
150×associate-*r/_binary64
145×associate-/r*_binary64
114×associate-/r/_binary64
64×exp-prod_binary64
59×*-commutative_binary64
56×associate-*r*_binary64
45×exp-sum_binary64 sub-neg_binary64
41×log-div_binary64
37×log-prod_binary64
34×cube-prod_binary64
31×cube-div_binary64
26×*-rgt-identity_binary64
24×+-commutative_binary64
23×cancel-sign-sub-inv_binary64
21×distribute-neg-in_binary64
20×*-lft-identity_binary64
17×exp-diff_binary64
13×unsub-neg_binary64 sqr-pow_binary64
12×neg-sub0_binary64 /-rgt-identity_binary64 distribute-rgt-neg-in_binary64
11×associate--l+_binary64
10×neg-mul-1_binary64 distribute-lft-neg-in_binary64
log-rec_binary64
unpow3_binary64 distribute-neg-frac_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
swap-sqr_binary64
cube-unmult_binary64
cube-mult_binary64 distribute-rgt-out_binary64 associate-+l+_binary64
distribute-rgt-out--_binary64 associate-+r-_binary64
distribute-rgt1-in_binary64 associate--r+_binary64 associate-+l-_binary64
mul-1-neg_binary64 +-rgt-identity_binary64 associate--r-_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 remove-double-neg_binary64 pow-sqr_binary64 difference-of-sqr-1_binary64 distribute-lft1-in_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 unpow2_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 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-sqrt-square_binary64 rem-square-sqrt_binary64 sub0-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-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-+r+_binary64
Counts
77 → 61
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01061057
1273934
2934929
34096929
45150929

prune37.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57461
Fresh000
Picked011
Done000
Total57562
Error
0.0b
Counts
62 → 5
Compiler

Compiled 577 to 326 computations (43.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
0.0b
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
3.0b
(*.f64 (/.f64 x z) y)

rewrite77.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64
13×associate-*l*_binary64
12×add-cube-cbrt_binary64
10×add-log-exp_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
associate-*r*_binary64 cancel-sign-sub-inv_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 associate-*l/_binary64 sum-log_binary64 diff-log_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 *-commutative_binary64 frac-add_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 associate--l+_binary64
Counts
3 → 62
Calls

3 calls:

9.0ms
(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
7.0ms
(*.f64 (/.f64 x z) y)
6.0ms
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
Compiler

Compiled 1161 to 276 computations (76.2% saved)

series113.0ms (3.3%)

Error
0.0b
Counts
3 → 36
Calls

3 calls:

40.0ms
(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
36.0ms
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
26.0ms
(*.f64 (/.f64 x z) y)
Compiler

Compiled 724 to 534 computations (26.2% saved)

simplify97.0ms (2.8%)

Algorithm
egg-herbie
Rules
694×associate-/l/_binary64
288×associate-*l/_binary64
258×associate-/l*_binary64
211×associate-*r/_binary64
207×distribute-rgt-out_binary64
198×distribute-rgt-in_binary64
173×distribute-lft-in_binary64
167×*-commutative_binary64
157×cancel-sign-sub-inv_binary64
104×unswap-sqr_binary64
102×sub-neg_binary64
99×distribute-rgt-neg-in_binary64
97×times-frac_binary64
89×distribute-lft-out_binary64
83×distribute-neg-frac_binary64
80×distribute-lft-neg-in_binary64
76×unsub-neg_binary64
75×sqr-pow_binary64
71×associate-/r*_binary64
69×associate-+l+_binary64
65×associate-*l*_binary64 +-commutative_binary64
59×distribute-rgt-out--_binary64
56×exp-prod_binary64
55×distribute-lft-neg-out_binary64
54×log-div_binary64
51×associate-*r*_binary64
47×neg-mul-1_binary64 associate-+r+_binary64
46×neg-sub0_binary64 distribute-rgt-neg-out_binary64
43×exp-sum_binary64
40×distribute-neg-in_binary64
38×distribute-rgt1-in_binary64
34×div-sub_binary64
33×swap-sqr_binary64
31×cube-div_binary64 cube-prod_binary64
30×log-prod_binary64 associate-/r/_binary64
26×*-rgt-identity_binary64
24×*-lft-identity_binary64
19×associate-+l-_binary64
16×unpow3_binary64
15×distribute-lft1-in_binary64 associate--l+_binary64 associate-+r-_binary64
13×exp-diff_binary64 +-rgt-identity_binary64
12×cube-mult_binary64 distribute-lft-out--_binary64
11×difference-of-squares_binary64
sub0-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64
/-rgt-identity_binary64
pow-sqr_binary64
log-rec_binary64 div-exp_binary64
remove-double-neg_binary64 associate--r+_binary64
cube-unmult_binary64 distribute-neg-out_binary64
pow-plus_binary64 div0_binary64 count-2_binary64
log-pow_binary64 unpow1/2_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-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 unpow2_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 rec-exp_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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 --rgt-identity_binary64 +-lft-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 cancel-sign-sub_binary64 distribute-frac-neg_binary64 associate--r-_binary64 associate--l-_binary64
Counts
98 → 70
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01361364
13321169
29151145
330561145
449941145
549791145

prune41.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh123
Picked011
Done011
Total70575
Error
0b
Counts
75 → 5
Compiler

Compiled 779 to 326 computations (58.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 z (-.f64 (+.f64 y 1) z))
3.1b
(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))

rewrite138.0ms (4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
162×times-frac_binary64
158×*-un-lft-identity_binary64
110×add-sqr-sqrt_binary64
78×add-cube-cbrt_binary64
32×distribute-lft-out--_binary64
30×associate-/r*_binary64
16×difference-of-squares_binary64 distribute-lft-out_binary64
11×associate-/r/_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64 associate-/l*_binary64
flip3--_binary64 flip--_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 155
Calls

2 calls:

12.0ms
(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
8.0ms
(/.f64 z (-.f64 (+.f64 y 1) z))
Compiler

Compiled 2666 to 1511 computations (43.3% saved)

series93.0ms (2.7%)

Error
0b
Counts
2 → 33
Calls

2 calls:

41.0ms
(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
34.0ms
(/.f64 z (-.f64 (+.f64 y 1) z))
Compiler

Compiled 1024 to 796 computations (22.3% saved)

simplify214.0ms (6.2%)

Algorithm
egg-herbie
Rules
701×distribute-rgt-in_binary64
650×times-frac_binary64
196×associate-/r/_binary64
170×associate-/l/_binary64
135×associate-*l/_binary64
118×*-commutative_binary64
115×distribute-neg-in_binary64
96×distribute-lft-in_binary64
90×associate-/l*_binary64
72×+-commutative_binary64
70×associate-+r+_binary64
67×associate-/r*_binary64
63×associate-*r/_binary64
59×*-rgt-identity_binary64
58×sub-neg_binary64
54×cancel-sign-sub-inv_binary64
51×associate-+l+_binary64
44×cube-prod_binary64
42×neg-mul-1_binary64 neg-sub0_binary64
41×log-prod_binary64
37×distribute-lft-neg-out_binary64 associate-*r*_binary64
36×unswap-sqr_binary64
35×distribute-rgt-neg-out_binary64
32×sqr-pow_binary64
30×distribute-rgt-neg-in_binary64
29×exp-prod_binary64 distribute-lft-neg-in_binary64
28×distribute-neg-frac_binary64
24×log-div_binary64
23×exp-sum_binary64 unsub-neg_binary64 associate-*l*_binary64
19×div-sub_binary64
16×*-lft-identity_binary64
14×associate--l+_binary64
13×associate--r+_binary64
12×unpow3_binary64 distribute-rgt-out_binary64
10×cube-div_binary64
cube-unmult_binary64
/-rgt-identity_binary64 distribute-rgt1-in_binary64
cube-mult_binary64
difference-of-squares_binary64
swap-sqr_binary64
unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 unpow1_binary64 remove-double-div_binary64
log-pow_binary64 exp-diff_binary64 distribute-lft-out_binary64
log-rec_binary64 exp-neg_binary64 rem-sqrt-square_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 distribute-rgt-out--_binary64 associate--r-_binary64 associate-+r-_binary64
1-exp_binary64 div0_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 distribute-lft1-in_binary64 distribute-lft-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 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 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 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 +-inverses_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 count-2_binary64 associate--l-_binary64 associate-+l-_binary64
Counts
188 → 132
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02824562
16534418
225254336
348364336
449894336
549774336

prune62.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1320132
Fresh022
Picked011
Done022
Total1325137
Error
0b
Counts
137 → 5
Compiler

Compiled 1565 to 830 computations (47% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 (+.f64 y 1) z) z)
3.7b
(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))

rewrite86.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
59×*-un-lft-identity_binary64
43×add-sqr-sqrt_binary64
37×times-frac_binary64
24×add-cube-cbrt_binary64
22×associate-*r*_binary64
14×distribute-lft-out--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
difference-of-squares_binary64 distribute-lft-out_binary64
associate-/l*_binary64
pow1_binary64
associate-*l*_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64 associate-/l/_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64
Counts
2 → 83
Calls

2 calls:

13.0ms
(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
8.0ms
(/.f64 (-.f64 (+.f64 y 1) z) z)
Compiler

Compiled 1257 to 743 computations (40.9% saved)

series71.0ms (2.1%)

Error
0b
Counts
2 → 27
Calls

2 calls:

39.0ms
(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
24.0ms
(/.f64 (-.f64 (+.f64 y 1) z) z)
Compiler

Compiled 453 to 373 computations (17.7% saved)

simplify95.0ms (2.8%)

Algorithm
egg-herbie
Rules
575×associate-+l+_binary64
309×distribute-rgt-in_binary64
296×distribute-lft-in_binary64
285×associate-*l*_binary64
250×associate-*l/_binary64
247×associate-*r/_binary64
234×associate-/l*_binary64
229×div-sub_binary64
217×associate-*r*_binary64
140×times-frac_binary64
120×*-commutative_binary64
109×associate-/l/_binary64
105×distribute-rgt-neg-out_binary64
97×unsub-neg_binary64
93×associate-/r/_binary64
90×associate-+l-_binary64
84×distribute-lft-neg-out_binary64
83×sub-neg_binary64
74×associate-/r*_binary64 associate-+r-_binary64
65×associate-+r+_binary64
53×*-lft-identity_binary64
49×distribute-frac-neg_binary64 +-commutative_binary64
46×distribute-rgt-out_binary64
44×*-rgt-identity_binary64
39×associate--r+_binary64
34×neg-sub0_binary64
31×log-prod_binary64
29×associate--l+_binary64
28×sqr-pow_binary64
27×/-rgt-identity_binary64
26×neg-mul-1_binary64
24×log-div_binary64
23×associate--l-_binary64
22×cancel-sign-sub-inv_binary64
21×cube-div_binary64 cube-prod_binary64
19×distribute-neg-in_binary64
18×exp-prod_binary64 swap-sqr_binary64
16×associate--r-_binary64
15×mul-1-neg_binary64 unswap-sqr_binary64
12×exp-sum_binary64 distribute-lft-neg-in_binary64
11×distribute-neg-frac_binary64
distribute-rgt-out--_binary64
+-rgt-identity_binary64 distribute-rgt-neg-in_binary64
mul0-rgt_binary64 mul0-lft_binary64
unpow3_binary64 cube-unmult_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
cube-mult_binary64 sub0-neg_binary64 pow-sqr_binary64
log-rec_binary64 remove-double-div_binary64
exp-diff_binary64 *-inverses_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 sqr-neg_binary64 remove-double-neg_binary64 --rgt-identity_binary64 distribute-lft-out_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 unpow2_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 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-sqrt-square_binary64 rem-square-sqrt_binary64 +-lft-identity_binary64 div0_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 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64
Counts
110 → 68
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01251750
12971625
29621620
331251620
451741620

prune34.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done033
Total68573
Error
0b
Counts
73 → 5
Compiler

Compiled 656 to 411 computations (37.3% saved)

regimes427.0ms (12.4%)

Accuracy

Total 0.9b remaining (98.9%)

Threshold costs 0.9b (98.9%)

Compiler

Compiled 2797 to 2337 computations (16.4% saved)

bsearch11.0ms (0.3%)

Steps
ItersRangePoint
5
-0.10956644366764373
-0.020044477998212837
-0.04502376810770514
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-mul-1_binary64 neg-sub0_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 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
01735
12635
23335
33735
43935
53835

end1.0ms (0%)

Compiler

Compiled 24 to 15 computations (37.5% saved)

sample731.0ms (21.2%)

Algorithm
intervals
Results
248.0ms8000×body128valid
42.0ms1072×body128invalid
Compiler

Compiled 129 to 104 computations (19.4% saved)

Profiling

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