Details

Time bar (total: 5.9s)

analyze977.0ms (16.7%)

Algorithm
search
egg-herbie
Rules
297×unsub-neg_binary64
230×distribute-rgt-in_binary64
207×cancel-sign-sub-inv_binary64
196×distribute-lft-in_binary64
152×sub-neg_binary64
145×distribute-rgt-neg-in_binary64
119×associate--r+_binary64
111×distribute-lft-neg-out_binary64
109×distribute-rgt-neg-out_binary64
106×neg-mul-1_binary64
95×*-commutative_binary64
91×neg-sub0_binary64
88×distribute-lft-neg-in_binary64
83×associate-*l*_binary64 associate-*r*_binary64
68×distribute-rgt-out--_binary64
60×associate-+l-_binary64
53×+-commutative_binary64
50×mul0-rgt_binary64
46×remove-double-neg_binary64
42×mul0-lft_binary64
28×cancel-sign-sub_binary64
25×distribute-rgt-out_binary64
23×sub0-neg_binary64
21×associate-+r+_binary64
20×distribute-neg-in_binary64
18×distribute-neg-out_binary64
17×+-lft-identity_binary64 associate--l+_binary64
13×associate-+r-_binary64
12×associate--l-_binary64
11×associate-+l+_binary64
+-rgt-identity_binary64
associate--r-_binary64
*-lft-identity_binary64
1-exp_binary64 swap-y-t
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 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 --rgt-identity_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_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
02870
18170
218470
331170
448170
599470
698070
7116370
8120670
9122470
10122670
11126870
12123670
13123670
14123670
15112470
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
23.4%74.9%1.8%11
27.3%69.4%3.3%12
36.6%56.5%6.8%13
40.5%52%7.4%14
Symmetry

(sort y t)

Compiler

Compiled 10 to 9 computations (10% saved)

sample30.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
2.0ms51×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify31.0ms (0.5%)

Algorithm
egg-herbie
Rules
112×distribute-rgt-in_binary64
90×associate-*l*_binary64
87×associate-*r*_binary64
83×cancel-sign-sub-inv_binary64
76×distribute-lft-in_binary64
74×unsub-neg_binary64
53×sub-neg_binary64
44×distribute-rgt-neg-out_binary64
41×distribute-rgt-neg-in_binary64
39×distribute-lft-neg-out_binary64
34×associate--r+_binary64
33×neg-sub0_binary64
31×*-commutative_binary64
28×distribute-neg-in_binary64
27×neg-mul-1_binary64
24×mul0-rgt_binary64 mul0-lft_binary64
22×associate-+l-_binary64
18×distribute-lft-neg-in_binary64
14×sub0-neg_binary64
11×+-commutative_binary64
10×*-lft-identity_binary64 remove-double-neg_binary64
*-rgt-identity_binary64 distribute-rgt-out--_binary64
--rgt-identity_binary64
+-lft-identity_binary64 associate--r-_binary64 associate-+l+_binary64
distribute-rgt-out_binary64 associate--l+_binary64
mul-1-neg_binary64 +-rgt-identity_binary64 distribute-lft-out_binary64 associate-+r-_binary64 associate-+r+_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 times-frac_binary64 div-sub_binary64 /-rgt-identity_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_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11910
24110
38710
414010
519410
627910
740610
857310
951210
1050110
1150110
1243810

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 2
Compiler

Compiled 23 to 22 computations (4.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z y))
6.3b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)

rewrite45.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
add-sqr-sqrt_binary64
pow1_binary64 add-exp-log_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64
associate-*r*_binary64
flip3--_binary64 associate-*l/_binary64 flip--_binary64 distribute-rgt-out--_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 diff-log_binary64 sub-neg_binary64 cancel-sign-sub-inv_binary64
Counts
2 → 34
Calls

2 calls:

7.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
4.0ms
(-.f64 (*.f64 x y) (*.f64 z y))
Compiler

Compiled 575 to 113 computations (80.3% saved)

series86.0ms (1.5%)

Error
0.1b
Counts
2 → 33
Calls

2 calls:

47.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
26.0ms
(-.f64 (*.f64 x y) (*.f64 z y))
Compiler

Compiled 556 to 464 computations (16.5% saved)

simplify77.0ms (1.3%)

Algorithm
egg-herbie
Rules
565×neg-mul-1_binary64
280×distribute-lft-neg-out_binary64
269×distribute-rgt-neg-out_binary64
254×*-commutative_binary64
236×distribute-rgt-in_binary64
231×distribute-lft-in_binary64
160×exp-prod_binary64
137×cancel-sign-sub-inv_binary64
121×+-commutative_binary64
110×times-frac_binary64 associate-*l*_binary64
105×distribute-rgt-neg-in_binary64
101×exp-sum_binary64
94×distribute-lft-neg-in_binary64
93×associate-*r*_binary64
92×associate-+r+_binary64
89×sqr-pow_binary64
83×unsub-neg_binary64
81×cube-prod_binary64
78×div-sub_binary64 associate-+l+_binary64
70×log-prod_binary64
66×swap-sqr_binary64
62×distribute-rgt-out_binary64
60×neg-sub0_binary64
53×sub-neg_binary64
47×exp-diff_binary64
27×*-rgt-identity_binary64 *-lft-identity_binary64
26×sqr-neg_binary64 associate-/l*_binary64
25×difference-of-squares_binary64
20×distribute-rgt-out--_binary64 associate-+l-_binary64
19×exp-neg_binary64 distribute-lft-out_binary64
18×distribute-neg-in_binary64
16×associate-+r-_binary64
15×unpow3_binary64 cube-neg_binary64
14×pow-sqr_binary64 unswap-sqr_binary64
13×cube-mult_binary64
11×mul0-rgt_binary64 mul0-lft_binary64
10×associate--r+_binary64
rem-sqrt-square_binary64 associate-/r*_binary64
+-rgt-identity_binary64
cube-unmult_binary64
mul-1-neg_binary64 sub0-neg_binary64
distribute-lft-out--_binary64 associate-*r/_binary64
remove-double-neg_binary64 distribute-frac-neg_binary64
unpow1/2_binary64 associate-/l/_binary64 associate-*l/_binary64
div-exp_binary64 1-exp_binary64 exp-1-e_binary64 count-2_binary64 associate-/r/_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-pow_binary64 log-rec_binary64 log-div_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 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 --rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 associate--l-_binary64 associate--l+_binary64
Counts
67 → 60
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077759
1202702
2740699
31875696
44034696
55048696

prune35.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New53760
Fresh011
Picked101
Done000
Total54862
Error
0.1b
Counts
62 → 8
Compiler

Compiled 536 to 201 computations (62.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 y (-.f64 x z))
6.3b
(*.f64 t (*.f64 y (-.f64 x z)))

rewrite78.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×distribute-rgt-in_binary64 distribute-lft-in_binary64
18×cancel-sign-sub-inv_binary64
15×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sub-neg_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64
unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
Counts
2 → 66
Calls

2 calls:

8.0ms
(*.f64 t (*.f64 y (-.f64 x z)))
7.0ms
(*.f64 y (-.f64 x z))
Compiler

Compiled 984 to 352 computations (64.2% saved)

series81.0ms (1.4%)

Error
0.1b
Counts
2 → 33
Calls

2 calls:

46.0ms
(*.f64 t (*.f64 y (-.f64 x z)))
28.0ms
(*.f64 y (-.f64 x z))
Compiler

Compiled 623 to 563 computations (9.6% saved)

simplify113.0ms (1.9%)

Algorithm
egg-herbie
Rules
393×exp-prod_binary64
388×distribute-rgt-in_binary64
383×distribute-lft-in_binary64
355×*-commutative_binary64
333×unsub-neg_binary64
205×+-commutative_binary64
167×associate-*l*_binary64
165×associate-*r*_binary64
131×sqr-pow_binary64
127×neg-sub0_binary64
124×neg-mul-1_binary64
122×associate-+r+_binary64
111×associate-+l+_binary64
109×div-sub_binary64
103×swap-sqr_binary64
101×exp-sum_binary64
97×times-frac_binary64
74×distribute-rgt-neg-in_binary64
73×distribute-rgt-neg-out_binary64
70×distribute-lft-neg-out_binary64
68×distribute-lft-neg-in_binary64
56×exp-diff_binary64
51×sqr-neg_binary64
47×cancel-sign-sub-inv_binary64
42×sub-neg_binary64
41×*-lft-identity_binary64
40×*-rgt-identity_binary64
37×exp-neg_binary64
30×cube-prod_binary64
29×log-prod_binary64
25×unswap-sqr_binary64
24×associate-/l*_binary64
22×mul0-rgt_binary64 mul0-lft_binary64
13×associate-+l-_binary64
12×pow-sqr_binary64
11×unpow3_binary64
10×unpow1/2_binary64 distribute-rgt-out--_binary64
associate-*r/_binary64 associate-+r-_binary64
cube-unmult_binary64 difference-of-squares_binary64
sub0-neg_binary64 +-rgt-identity_binary64 distribute-rgt-out_binary64
associate-/l/_binary64 associate-/r*_binary64
cube-mult_binary64 cube-neg_binary64 rem-sqrt-square_binary64 associate-*l/_binary64
mul-1-neg_binary64 associate-/r/_binary64
distribute-lft-out--_binary64 associate--r+_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_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 log-div_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
99 → 68
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01221142
12681049
29001049
325991049
444071049
549801049
649351049

prune24.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New65368
Fresh257
Picked011
Done000
Total67976
Error
0.0b
Counts
76 → 9
Compiler

Compiled 334 to 191 computations (42.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 t (*.f64 x y)) (neg.f64 (*.f64 t (*.f64 y z))))
6.0b
(*.f64 t (*.f64 y z))
6.1b
(*.f64 t (*.f64 x y))

rewrite67.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
associate-*r*_binary64 *-commutative_binary64 sum-log_binary64
neg-log_binary64 flip3-+_binary64 unsub-neg_binary64 flip-+_binary64 distribute-rgt-neg-in_binary64 distribute-lft-out_binary64 neg-sub0_binary64 associate-+r-_binary64 +-commutative_binary64
Counts
3 → 51
Calls

3 calls:

6.0ms
(+.f64 (*.f64 t (*.f64 x y)) (neg.f64 (*.f64 t (*.f64 y z))))
5.0ms
(*.f64 t (*.f64 x y))
5.0ms
(*.f64 t (*.f64 y z))
Compiler

Compiled 959 to 276 computations (71.2% saved)

series113.0ms (1.9%)

Error
0.0b
Counts
3 → 36
Calls

3 calls:

54.0ms
(+.f64 (*.f64 t (*.f64 x y)) (neg.f64 (*.f64 t (*.f64 y z))))
27.0ms
(*.f64 t (*.f64 x y))
24.0ms
(*.f64 t (*.f64 y z))
Compiler

Compiled 953 to 795 computations (16.6% saved)

simplify98.0ms (1.7%)

Algorithm
egg-herbie
Rules
466×*-commutative_binary64
405×times-frac_binary64
304×distribute-rgt-neg-out_binary64
295×cancel-sign-sub-inv_binary64
282×unsub-neg_binary64
236×distribute-rgt-in_binary64
208×associate-*l*_binary64
207×associate-*r*_binary64
189×distribute-lft-in_binary64
180×exp-prod_binary64
166×neg-sub0_binary64
156×distribute-rgt-neg-in_binary64
152×cube-prod_binary64
147×log-prod_binary64
146×neg-mul-1_binary64
140×distribute-lft-neg-in_binary64
133×sub-neg_binary64
119×distribute-rgt-out_binary64
107×sqr-pow_binary64
100×unswap-sqr_binary64
97×distribute-lft-out_binary64
87×distribute-neg-in_binary64
82×exp-sum_binary64
74×distribute-lft-neg-out_binary64
71×swap-sqr_binary64
56×distribute-rgt-out--_binary64
55×distribute-lft-out--_binary64
54×distribute-neg-out_binary64
53×exp-diff_binary64
41×remove-double-neg_binary64
34×mul0-rgt_binary64 mul0-lft_binary64
33×+-commutative_binary64
32×associate-+r+_binary64
30×cube-neg_binary64
25×associate-+l+_binary64
23×associate-+l-_binary64
21×unpow3_binary64
18×cube-mult_binary64 difference-of-squares_binary64
17×sqr-neg_binary64 associate--r+_binary64
14×pow-sqr_binary64
13×sub0-neg_binary64
12×associate-+r-_binary64
11×+-rgt-identity_binary64 associate--l+_binary64
mul-1-neg_binary64
div-sub_binary64 associate-/l*_binary64
associate--r-_binary64 associate--l-_binary64
exp-neg_binary64 cancel-sign-sub_binary64
cube-unmult_binary64 distribute-frac-neg_binary64
--rgt-identity_binary64 associate-/r*_binary64
unpow1/2_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 /-rgt-identity_binary64 +-lft-identity_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-pow_binary64 log-rec_binary64 log-div_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-frac_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-*l/_binary64
Counts
87 → 49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0105928
1306851
21145831
32936828
44330828
55155828

prune20.0ms (0.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh077
Picked011
Done011
Total49958
Error
0.0b
Counts
58 → 9
Compiler

Compiled 459 to 204 computations (55.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.8b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y)))) (*.f64 t (cbrt.f64 (*.f64 y (-.f64 x z)))))
9.3b
(cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y)))
9.3b
(cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y)))
9.3b
(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite104.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
60×cbrt-div_binary64
46×associate-*r/_binary64
30×flip3--_binary64 flip--_binary64
28×frac-times_binary64
16×pow1_binary64 add-exp-log_binary64
14×associate-*l/_binary64
10×add-cbrt-cube_binary64
cbrt-prod_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
add-log-exp_binary64
pow1/3_binary64
distribute-rgt-out--_binary64
associate-*l*_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
4 → 87
Calls

4 calls:

16.0ms
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y)))) (*.f64 t (cbrt.f64 (*.f64 y (-.f64 x z)))))
5.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
3.0ms
(cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y)))
3.0ms
(cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y)))
Compiler

Compiled 3854 to 509 computations (86.8% saved)

series544.0ms (9.3%)

Error
0.0b
Counts
4 → 65
Calls

4 calls:

269.0ms
(*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y)))) (*.f64 t (cbrt.f64 (*.f64 y (-.f64 x z)))))
73.0ms
(cbrt.f64 (*.f64 y (-.f64 x z)))
72.0ms
(cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y)))
72.0ms
(cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z y)))
Compiler

Compiled 6147 to 4017 computations (34.7% saved)

simplify140.0ms (2.4%)

Algorithm
egg-herbie
Rules
332×distribute-rgt-in_binary64
321×distribute-lft-in_binary64
308×associate-*r*_binary64
295×associate-*l*_binary64
244×*-commutative_binary64
183×distribute-rgt-neg-in_binary64
180×cancel-sign-sub-inv_binary64
174×distribute-lft-neg-in_binary64
141×times-frac_binary64
107×sqr-pow_binary64
104×unswap-sqr_binary64
103×sub-neg_binary64
74×neg-sub0_binary64
73×exp-sum_binary64
71×neg-mul-1_binary64
62×exp-prod_binary64
59×distribute-neg-frac_binary64
56×distribute-rgt-out_binary64
54×+-commutative_binary64
47×distribute-lft-neg-out_binary64
44×log-prod_binary64
38×distribute-rgt-neg-out_binary64
34×unsub-neg_binary64 associate-/l*_binary64
31×distribute-rgt-out--_binary64
28×distribute-lft-out_binary64
23×associate-*r/_binary64
20×unpow1/3_binary64
19×div-sub_binary64
17×pow-sqr_binary64 swap-sqr_binary64
16×associate-/r*_binary64
14×exp-diff_binary64 cube-prod_binary64 distribute-neg-out_binary64
13×distribute-neg-in_binary64 associate-+l+_binary64
12×associate-/r/_binary64 associate-*l/_binary64
11×difference-of-squares_binary64
10×associate-+r+_binary64
log-pow_binary64 associate--l+_binary64
unpow3_binary64 cube-mult_binary64 distribute-lft-out--_binary64 associate--r-_binary64
log-div_binary64 cube-unmult_binary64 remove-double-neg_binary64 associate--r+_binary64
exp-to-pow_binary64 mul-1-neg_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64
log-rec_binary64 pow-plus_binary64
rem-3cbrt-lft_binary64 distribute-frac-neg_binary64
exp-lft-cube_binary64 1-exp_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 rem-sqrt-square_binary64 *-rgt-identity_binary64 div0_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 pow-base-0_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_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-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 *-lft-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_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 associate-/l/_binary64 associate--l-_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
152 → 132
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03305300
18434620
223214489
352754489

prune85.0ms (1.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1284132
Fresh156
Picked011
Done022
Total12912141
Error
0.0b
Counts
141 → 12
Compiler

Compiled 3743 to 873 computations (76.7% saved)

regimes1.8s (31.2%)

Accuracy

Total 0.8b remaining (95.3%)

Threshold costs 0.8b (95.3%)

Compiler

Compiled 11429 to 7790 computations (31.8% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify22.0ms (0.4%)

Algorithm
egg-herbie
Rules
82×distribute-rgt-neg-in_binary64
54×neg-sub0_binary64
53×neg-mul-1_binary64
51×distribute-lft-neg-out_binary64 distribute-lft-neg-in_binary64
49×distribute-rgt-neg-out_binary64
48×cancel-sign-sub-inv_binary64
31×distribute-neg-in_binary64
30×*-commutative_binary64
27×sub-neg_binary64
23×+-commutative_binary64
15×remove-double-neg_binary64
14×unsub-neg_binary64
distribute-neg-out_binary64
*-lft-identity_binary64
*-rgt-identity_binary64
1-exp_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 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 /-rgt-identity_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040123
171123
296123
3113119
4146119
5162119
6194119
7247119
8322119
9376119
10400119
11401119
12397119

end9.0ms (0.2%)

Compiler

Compiled 243 to 87 computations (64.2% saved)

sample1.2s (20.6%)

Algorithm
intervals
Results
245.0ms8000×body128valid
61.0ms1866×body128invalid
Compiler

Compiled 362 to 225 computations (37.8% saved)

Profiling

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