Details

Time bar (total: 5.2s)

analyze333.0ms (6.4%)

Algorithm
search
egg-herbie
Rules
100×associate-*l*_binary64
75×associate-*r*_binary64
58×distribute-rgt-in_binary64 distribute-lft-in_binary64
53×associate-/r*_binary64
32×*-commutative_binary64
12×associate-/l/_binary64
/-rgt-identity_binary64
*-lft-identity_binary64
*-rgt-identity_binary64 swap-sqr_binary64
+-commutative_binary64
1-exp_binary64 swap-x-y
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02264
16964
211464
323764
427764
527464
626364
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
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14
Symmetry

(sort x y)

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify11.0ms (0.2%)

Algorithm
egg-herbie
Rules
37×associate-*l*_binary64
36×associate-*r*_binary64
20×*-commutative_binary64
19×distribute-rgt-in_binary64 distribute-lft-in_binary64
18×associate-/r*_binary64
*-lft-identity_binary64
*-rgt-identity_binary64
/-rgt-identity_binary64 associate-/l/_binary64
1-exp_binary64 +-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same 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 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
12416
23816
38716
410816
511816
611116

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
4.9b
Counts
1 → 1
Compiler

Compiled 11 to 10 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.5b
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
4.7b
(*.f64 y (+.f64 1 (*.f64 z z)))

rewrite120.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
3.7b
Rules
31×times-frac_binary64
26×add-exp-log_binary64
20×add-sqr-sqrt_binary64
18×add-cube-cbrt_binary64 *-un-lft-identity_binary64
16×add-cbrt-cube_binary64
13×associate-/l*_binary64
12×div-exp_binary64
cbrt-undiv_binary64
prod-exp_binary64
pow1_binary64 associate-*r/_binary64
cbrt-unprod_binary64 associate-*l*_binary64 associate-*r*_binary64 div-inv_binary64
add-log-exp_binary64 flip3-+_binary64 flip-+_binary64 1-exp_binary64 rec-exp_binary64 associate-/r/_binary64
pow-prod-down_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64 associate-/r*_binary64
Counts
2 → 74
Calls

2 calls:

12.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
7.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))
Compiler

Compiled 1353 to 790 computations (41.6% saved)

series94.0ms (1.8%)

Error
3.9b
Counts
2 → 25
Calls

2 calls:

56.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
23.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))
Compiler

Compiled 701 to 588 computations (16.1% saved)

simplify134.0ms (2.6%)

Algorithm
egg-herbie
Rules
566×associate-/r*_binary64
464×associate-/l*_binary64
408×associate-/l/_binary64
250×distribute-rgt-in_binary64
238×*-commutative_binary64
227×distribute-lft-in_binary64
187×associate-*l/_binary64
179×div-sub_binary64
152×associate-/r/_binary64
134×associate-*r/_binary64
112×associate-*l*_binary64
111×sub-neg_binary64
110×unswap-sqr_binary64
102×distribute-neg-frac_binary64
98×associate-*r*_binary64
94×neg-mul-1_binary64
86×neg-sub0_binary64
78×*-lft-identity_binary64
71×exp-prod_binary64
70×*-rgt-identity_binary64
67×log-div_binary64
66×associate--l+_binary64
61×cube-div_binary64
56×/-rgt-identity_binary64 sqr-pow_binary64
52×cube-prod_binary64 cancel-sign-sub-inv_binary64
49×times-frac_binary64
47×associate-+l+_binary64
44×associate-+r+_binary64
43×distribute-rgt-out_binary64
42×distribute-rgt-neg-in_binary64
37×log-prod_binary64 distribute-lft-neg-in_binary64
36×associate--r-_binary64
35×distribute-neg-in_binary64
33×+-commutative_binary64
30×associate--l-_binary64
28×associate-+l-_binary64
24×swap-sqr_binary64
23×unsub-neg_binary64
22×exp-sum_binary64
20×associate-+r-_binary64
18×associate--r+_binary64
17×remove-double-div_binary64
16×unpow3_binary64
15×log-rec_binary64
13×sub0-neg_binary64
11×cube-mult_binary64
cube-unmult_binary64 +-rgt-identity_binary64 distribute-rgt1-in_binary64
pow-plus_binary64
distribute-lft1-in_binary64
distribute-frac-neg_binary64
unpow1/2_binary64 pow-sqr_binary64 distribute-lft-neg-out_binary64
rem-sqrt-square_binary64 difference-of-sqr-1_binary64 distribute-rgt-neg-out_binary64
unpow2_binary64 exp-diff_binary64 +-lft-identity_binary64 div0_binary64
unpow1_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 --rgt-identity_binary64 distribute-rgt-out--_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 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 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 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64
Counts
99 → 93
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691980
13961734
212971732
339151732
444961732
549851732
649651732

prune76.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New831093
Fresh000
Picked011
Done000
Total831194
Error
3.7b
Counts
94 → 11
Compiler

Compiled 1163 to 703 computations (39.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1)))
2.4b
(*.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1))))
4.7b
(*.f64 y (+.f64 (*.f64 z z) 1))

rewrite226.0ms (4.3%)

Algorithm
rewrite-expression-head
Error
3.7b
Rules
99×add-exp-log_binary64
44×prod-exp_binary64
34×div-exp_binary64
31×add-cbrt-cube_binary64
25×add-sqr-sqrt_binary64
17×*-un-lft-identity_binary64 1-exp_binary64 rec-exp_binary64 times-frac_binary64
16×add-cube-cbrt_binary64 associate-*l*_binary64
15×pow1_binary64
12×associate-*r*_binary64
10×cbrt-unprod_binary64
cbrt-undiv_binary64
pow-prod-down_binary64 associate-*r/_binary64
pow-flip_binary64
unswap-sqr_binary64 associate-/r/_binary64
add-log-exp_binary64 flip3-+_binary64 flip-+_binary64 inv-pow_binary64 div-inv_binary64 associate-/l*_binary64
*-commutative_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 frac-times_binary64 un-div-inv_binary64 associate-*l/_binary64 frac-2neg_binary64 clear-num_binary64 associate-/r*_binary64
Counts
3 → 127
Calls

3 calls:

16.0ms
(*.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1))))
8.0ms
(/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1)))
7.0ms
(*.f64 y (+.f64 (*.f64 z z) 1))
Compiler

Compiled 2449 to 1537 computations (37.2% saved)

series137.0ms (2.6%)

Error
3.7b
Counts
3 → 38
Calls

3 calls:

55.0ms
(*.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1))))
31.0ms
(/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1)))
25.0ms
(*.f64 y (+.f64 (*.f64 z z) 1))
Compiler

Compiled 1134 to 969 computations (14.6% saved)

simplify148.0ms (2.8%)

Algorithm
egg-herbie
Rules
480×associate-/l*_binary64
450×associate-*l/_binary64
311×associate-/l/_binary64
307×associate-*r/_binary64
303×unswap-sqr_binary64
259×sub-neg_binary64
231×distribute-rgt-in_binary64
203×distribute-lft-in_binary64
160×sqr-pow_binary64
153×associate-*l*_binary64
144×associate-*r*_binary64
138×associate-/r/_binary64
135×associate-/r*_binary64
112×*-lft-identity_binary64
110×*-commutative_binary64
106×*-rgt-identity_binary64
84×times-frac_binary64
77×neg-mul-1_binary64
73×cancel-sign-sub-inv_binary64
72×cube-div_binary64
70×associate-+r-_binary64
68×div-sub_binary64
67×log-div_binary64
61×neg-sub0_binary64
59×associate-+l-_binary64
54×exp-prod_binary64 associate--r+_binary64
51×cube-prod_binary64 unsub-neg_binary64
50×log-prod_binary64 /-rgt-identity_binary64
47×associate-+l+_binary64
41×distribute-neg-frac_binary64
39×associate--l+_binary64
36×pow-sqr_binary64
29×associate--r-_binary64
28×+-commutative_binary64
26×distribute-rgt-neg-in_binary64
24×distribute-lft-neg-in_binary64
22×distribute-neg-in_binary64
21×+-rgt-identity_binary64
18×unpow3_binary64 remove-double-div_binary64 associate--l-_binary64
16×sub0-neg_binary64
15×log-rec_binary64 cube-mult_binary64 swap-sqr_binary64
10×exp-sum_binary64 cube-unmult_binary64 associate-+r+_binary64
distribute-rgt-out_binary64
unpow1/2_binary64 rem-sqrt-square_binary64
pow-plus_binary64 remove-double-neg_binary64 div0_binary64 difference-of-sqr-1_binary64
distribute-rgt-out--_binary64
--rgt-identity_binary64 distribute-neg-out_binary64
+-lft-identity_binary64 distribute-lft-out_binary64
unpow2_binary64 difference-of-sqr--1_binary64
unpow1_binary64 1-exp_binary64 exp-1-e_binary64 +-inverses_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt1-in_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-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 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-lft-out--_binary64
Counts
165 → 135
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02103130
14732720
215652694
343202694
444922694
551432694

prune98.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1323135
Fresh729
Picked101
Done011
Total1406146
Error
3.7b
Counts
146 → 6
Compiler

Compiled 1156 to 720 computations (37.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1)))
2.4b
(/.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1))) x)
4.7b
(*.f64 y (+.f64 (*.f64 z z) 1))

rewrite163.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
3.7b
Rules
42×times-frac_binary64
35×add-exp-log_binary64
27×add-sqr-sqrt_binary64
25×add-cube-cbrt_binary64 *-un-lft-identity_binary64
19×add-cbrt-cube_binary64
15×div-exp_binary64
12×associate-*r/_binary64 associate-/l*_binary64
10×associate-/r/_binary64
pow1_binary64
prod-exp_binary64 cbrt-undiv_binary64
flip3-+_binary64 flip-+_binary64 div-inv_binary64
1-exp_binary64 rec-exp_binary64 associate-/r*_binary64
add-log-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64 associate-*r*_binary64
pow-prod-down_binary64 frac-2neg_binary64 clear-num_binary64 pow-flip_binary64
unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 *-commutative_binary64 associate-/l/_binary64 inv-pow_binary64
Counts
3 → 112
Calls

3 calls:

10.0ms
(/.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1))) x)
10.0ms
(/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1)))
7.0ms
(*.f64 y (+.f64 (*.f64 z z) 1))
Compiler

Compiled 2096 to 1201 computations (42.7% saved)

series129.0ms (2.5%)

Error
3.7b
Counts
3 → 38
Calls

3 calls:

56.0ms
(/.f64 (/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1))) x)
30.0ms
(/.f64 1 (*.f64 y (+.f64 (*.f64 z z) 1)))
22.0ms
(*.f64 y (+.f64 (*.f64 z z) 1))
Compiler

Compiled 1054 to 889 computations (15.7% saved)

simplify395.0ms (7.6%)

Algorithm
egg-herbie
Rules
530×times-frac_binary64
365×distribute-rgt-in_binary64
353×associate-/l/_binary64
338×distribute-lft-in_binary64
301×associate-/l*_binary64
278×sub-neg_binary64
195×associate-*l/_binary64
136×associate-/r*_binary64
134×associate-*r/_binary64
133×associate-/r/_binary64
129×sqr-pow_binary64
125×associate-*r*_binary64
122×unswap-sqr_binary64
112×div-sub_binary64
108×associate-*l*_binary64
88×neg-mul-1_binary64
82×*-commutative_binary64
78×neg-sub0_binary64
71×cube-div_binary64 *-rgt-identity_binary64
69×*-lft-identity_binary64
64×log-div_binary64
54×cube-prod_binary64
51×distribute-neg-frac_binary64 associate-+r-_binary64
50×exp-prod_binary64 /-rgt-identity_binary64
46×log-prod_binary64 associate-+l-_binary64
44×unsub-neg_binary64
41×cancel-sign-sub-inv_binary64
40×associate--l+_binary64
32×+-commutative_binary64
27×distribute-rgt-neg-in_binary64
26×associate--r+_binary64
22×pow-sqr_binary64 distribute-lft-neg-in_binary64
20×+-rgt-identity_binary64
19×unpow3_binary64 remove-double-div_binary64
17×associate--l-_binary64
16×sub0-neg_binary64
15×cube-mult_binary64
13×div0_binary64 distribute-neg-in_binary64
12×log-rec_binary64 unpow1/2_binary64
10×swap-sqr_binary64
cube-unmult_binary64 distribute-rgt-out_binary64
difference-of-squares_binary64
pow-plus_binary64 mul-1-neg_binary64 remove-double-neg_binary64 associate-+l+_binary64
exp-sum_binary64
distribute-rgt1-in_binary64 associate--r-_binary64
rem-sqrt-square_binary64 --rgt-identity_binary64 +-lft-identity_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-rgt-out--_binary64 associate-+r+_binary64
unpow2_binary64
unpow1_binary64 exp-diff_binary64 1-exp_binary64 exp-1-e_binary64 +-inverses_binary64 distribute-neg-out_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-lft1-in_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 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 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 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-lft-out--_binary64
Counts
150 → 104
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02113105
14922824
215462822
342442822
445962822
549972822
649222822

prune57.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh134
Picked011
Done011
Total1046110
Error
3.7b
Counts
110 → 6
Compiler

Compiled 982 to 532 computations (45.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 z z) x))
0.8b
(/.f64 1 (*.f64 y (+.f64 x (*.f64 (*.f64 z z) x))))
2.8b
(*.f64 y (+.f64 x (*.f64 (*.f64 z z) x)))
7.5b
(*.f64 (*.f64 z z) x)

rewrite110.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
1.8b
Rules
22×add-exp-log_binary64
16×add-cbrt-cube_binary64
14×pow1_binary64
12×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
add-cube-cbrt_binary64
associate-*r*_binary64
prod-exp_binary64
add-log-exp_binary64
pow-prod-down_binary64 cbrt-unprod_binary64
associate-*l*_binary64 associate-*r/_binary64 div-exp_binary64
flip3-+_binary64 flip-+_binary64 times-frac_binary64 associate-/l*_binary64
unswap-sqr_binary64 *-commutative_binary64 distribute-rgt1-in_binary64 distribute-rgt-out_binary64 pow-flip_binary64 1-exp_binary64 rec-exp_binary64 cbrt-undiv_binary64 associate-/r/_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 inv-pow_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/r*_binary64 sum-log_binary64 +-commutative_binary64
Counts
4 → 86
Calls

4 calls:

6.0ms
(/.f64 1 (*.f64 y (+.f64 x (*.f64 (*.f64 z z) x))))
6.0ms
(*.f64 (*.f64 z z) x)
6.0ms
(*.f64 y (+.f64 x (*.f64 (*.f64 z z) x)))
3.0ms
(+.f64 x (*.f64 (*.f64 z z) x))
Compiler

Compiled 1468 to 447 computations (69.6% saved)

series149.0ms (2.9%)

Error
3.7b
Counts
4 → 43
Calls

4 calls:

57.0ms
(/.f64 1 (*.f64 y (+.f64 x (*.f64 (*.f64 z z) x))))
38.0ms
(*.f64 y (+.f64 x (*.f64 (*.f64 z z) x)))
25.0ms
(+.f64 x (*.f64 (*.f64 z z) x))
16.0ms
(*.f64 (*.f64 z z) x)
Compiler

Compiled 1081 to 925 computations (14.4% saved)

simplify127.0ms (2.4%)

Algorithm
egg-herbie
Rules
630×times-frac_binary64
408×associate-/r*_binary64
358×distribute-rgt-in_binary64
341×distribute-lft-in_binary64
245×associate-/l*_binary64
201×associate-*l*_binary64
182×associate-*r*_binary64
176×associate-/l/_binary64
154×sub-neg_binary64
113×sqr-pow_binary64
99×cancel-sign-sub-inv_binary64
89×*-commutative_binary64
86×exp-prod_binary64
84×distribute-rgt-neg-in_binary64
83×div-sub_binary64
66×neg-mul-1_binary64 distribute-lft-neg-in_binary64
65×neg-sub0_binary64
62×log-div_binary64
61×log-prod_binary64
60×*-lft-identity_binary64
59×*-rgt-identity_binary64
58×cube-div_binary64 cube-prod_binary64
56×unswap-sqr_binary64
51×associate-/r/_binary64
49×distribute-rgt-out_binary64
30×unsub-neg_binary64 swap-sqr_binary64
29×/-rgt-identity_binary64 distribute-neg-frac_binary64
28×+-commutative_binary64
23×distribute-lft-out_binary64
20×distribute-rgt-out--_binary64
18×distribute-neg-in_binary64
17×unpow3_binary64
16×pow-sqr_binary64
14×cube-mult_binary64 associate-*l/_binary64
12×log-rec_binary64 unpow1/2_binary64 distribute-lft-neg-out_binary64 associate-*r/_binary64
10×distribute-rgt1-in_binary64 associate--r+_binary64
pow-plus_binary64 exp-sum_binary64
rem-sqrt-square_binary64 remove-double-div_binary64 distribute-lft-out--_binary64 associate--l+_binary64 associate-+r-_binary64
cube-unmult_binary64 distribute-lft1-in_binary64
distribute-rgt-neg-out_binary64 associate-+l+_binary64 associate-+r+_binary64
log-pow_binary64 difference-of-squares_binary64
unpow2_binary64 +-lft-identity_binary64 div0_binary64 count-2_binary64
unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 associate-+l-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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 sub0-neg_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_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-frac-neg_binary64 distribute-neg-out_binary64 associate--r-_binary64 associate--l-_binary64
Counts
129 → 110
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01602054
13721862
214161856
345021854
448121854
549951854

prune61.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh033
Picked011
Done022
Total1097116
Error
1.8b
Counts
116 → 7
Compiler

Compiled 995 to 370 computations (62.8% saved)

regimes1.5s (29.3%)

Accuracy

Total 0.4b remaining (12.9%)

Threshold costs 0.4b (12.9%)

Compiler

Compiled 19221 to 16079 computations (16.3% saved)

bsearch23.0ms (0.4%)

Steps
ItersRangePoint
8
-2.76542948612953e-59
-2.6590120463197272e-62
-2.570544231834083e-59
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01938
12638
22538

end7.0ms (0.1%)

Compiler

Compiled 78 to 57 computations (26.9% saved)

sample1.0s (19.4%)

Algorithm
intervals
Results
316.0ms8000×body128valid
17.0ms460×body128invalid
Compiler

Compiled 188 to 160 computations (14.9% saved)

Profiling

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