Details

Time bar (total: 3.2s)

analyze683.0ms (21.1%)

Algorithm
search
egg-herbie
Rules
724×sub-neg_binary64
708×div-sub_binary64
646×associate-/l*_binary64
593×cancel-sign-sub-inv_binary64
423×distribute-neg-frac_binary64
403×distribute-frac-neg_binary64
349×unsub-neg_binary64
289×distribute-rgt-in_binary64
283×neg-mul-1_binary64
237×neg-sub0_binary64
179×cancel-sign-sub_binary64
165×associate--r+_binary64
123×+-commutative_binary64
112×distribute-lft-in_binary64
103×associate-+r-_binary64
102×distribute-neg-in_binary64
98×associate-/r*_binary64
85×associate--r-_binary64
80×distribute-rgt-neg-in_binary64 associate-+r+_binary64
79×+-lft-identity_binary64
77×distribute-lft-neg-out_binary64
74×distribute-lft-neg-in_binary64
69×associate--l+_binary64
64×associate-+l-_binary64
61×associate-/l/_binary64
60×associate-/r/_binary64
58×sub0-neg_binary64
55×remove-double-neg_binary64
54×times-frac_binary64
53×distribute-rgt-neg-out_binary64
51×*-commutative_binary64
43×/-rgt-identity_binary64
37×*-lft-identity_binary64
33×+-rgt-identity_binary64 associate-+l+_binary64
30×associate--l-_binary64
28×distribute-rgt-out--_binary64
24×associate-*l/_binary64
22×*-rgt-identity_binary64
20×distribute-lft-out_binary64
18×associate-*r/_binary64
15×--rgt-identity_binary64
13×mul0-rgt_binary64 mul0-lft_binary64
div0_binary64
remove-double-div_binary64
distribute-neg-out_binary64 distribute-lft-out--_binary64
1-exp_binary64 distribute-rgt-out_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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 *-inverses_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 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-*l*_binary64 associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03091
18991
220791
332991
464591
5143491
6254191
7452091
8457791
9518991
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
49.1%50.7%0.2%9
49.5%50.3%0.2%10
49.7%50.1%0.2%11
50.2%49.6%0.2%12
60.5%39.3%0.2%13
60.6%37.9%1.4%14
Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

sample32.0ms (1%)

Algorithm
intervals
Results
8.0ms256×body128valid
3.0ms98×body128invalid
Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify154.0ms (4.8%)

Algorithm
egg-herbie
Rules
465×distribute-rgt-in_binary64
442×div-sub_binary64
329×cancel-sign-sub-inv_binary64 associate-/l*_binary64
321×distribute-lft-in_binary64
320×unsub-neg_binary64
317×times-frac_binary64
194×sub-neg_binary64
168×associate-/r/_binary64
162×associate-/r*_binary64
158×associate-*l/_binary64
133×associate-/l/_binary64
128×distribute-neg-frac_binary64
101×distribute-rgt-neg-out_binary64
97×distribute-rgt-neg-in_binary64
92×neg-mul-1_binary64
91×distribute-neg-in_binary64
80×associate-*l*_binary64
72×neg-sub0_binary64 distribute-lft-neg-out_binary64
71×distribute-lft-neg-in_binary64 associate-*r*_binary64
70×associate-*r/_binary64
63×associate--r+_binary64
54×+-commutative_binary64
53×associate--r-_binary64
41×*-commutative_binary64
36×associate-+l-_binary64
33×+-lft-identity_binary64 associate-+l+_binary64
32×mul0-rgt_binary64 mul0-lft_binary64
30×*-lft-identity_binary64 cancel-sign-sub_binary64
26×associate--l+_binary64
25×associate--l-_binary64
24×remove-double-neg_binary64 associate-+r+_binary64
22×associate-+r-_binary64
21×sub0-neg_binary64
18×div0_binary64
17×*-rgt-identity_binary64
14×distribute-frac-neg_binary64
+-rgt-identity_binary64
/-rgt-identity_binary64
1-exp_binary64 --rgt-identity_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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 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-out_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
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
12113
24513
36913
413113
524213
646413
783213
8134013
9185813
10182113
11181713
12181313
13181413
14181413
15220613
16187013
17187013
18187013
19174413

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.3b
Counts
1 → 1
Compiler

Compiled 9 to 9 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite37.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 times-frac_binary64 associate-/l*_binary64
distribute-lft-out--_binary64
add-cube-cbrt_binary64
div-exp_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 distribute-lft-out_binary64 associate-/l/_binary64
pow1_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64 associate-/r*_binary64
Counts
1 → 30
Calls

1 calls:

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

Compiled 450 to 176 computations (60.9% saved)

series77.0ms (2.4%)

Error
0.0b
Counts
1 → 21
Calls

1 calls:

61.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
Compiler

Compiled 538 to 475 computations (11.7% saved)

simplify77.0ms (2.4%)

Algorithm
egg-herbie
Rules
523×associate-/r/_binary64
380×div-sub_binary64
286×distribute-rgt-in_binary64
271×distribute-lft-in_binary64
243×neg-mul-1_binary64
241×neg-sub0_binary64
200×associate-/l*_binary64
189×times-frac_binary64
165×associate-*l*_binary64
138×associate-/r*_binary64
128×*-commutative_binary64
120×associate-*r*_binary64
119×sub-neg_binary64
117×associate-*l/_binary64
100×associate-*r/_binary64
95×distribute-rgt-neg-out_binary64
89×distribute-lft-neg-out_binary64
80×associate-/l/_binary64
77×cancel-sign-sub-inv_binary64
70×associate-+l+_binary64
64×distribute-rgt-out_binary64
61×associate-+r+_binary64
48×distribute-neg-in_binary64 +-commutative_binary64
45×distribute-rgt-neg-in_binary64
41×unsub-neg_binary64
38×distribute-lft-out_binary64
28×distribute-lft-neg-in_binary64
27×distribute-frac-neg_binary64
18×distribute-neg-frac_binary64
15×associate--r+_binary64
14×distribute-rgt-out--_binary64 associate-+l-_binary64
13×+-rgt-identity_binary64 associate-+r-_binary64
11×exp-diff_binary64
10×sqr-pow_binary64 distribute-lft-out--_binary64 associate--l+_binary64
sub0-neg_binary64 swap-sqr_binary64
exp-sum_binary64
log-div_binary64 log-prod_binary64 cube-prod_binary64 associate--r-_binary64
exp-sqrt_binary64 cube-unmult_binary64 mul-1-neg_binary64
cube-div_binary64 sqr-neg_binary64 remove-double-neg_binary64
unpow3_binary64 exp-prod_binary64
exp-neg_binary64 1-exp_binary64 cube-mult_binary64 cube-neg_binary64 --rgt-identity_binary64 div0_binary64 distribute-neg-out_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 pow-base-0_binary64 unpow1/3_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 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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-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 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64
Counts
51 → 43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0103918
1265797
2810756
32773720
44655720
55057720

prune23.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New39443
Fresh000
Picked101
Done000
Total40444
Error
0.0b
Counts
44 → 4
Compiler

Compiled 408 to 187 computations (54.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite34.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
31×*-un-lft-identity_binary64
15×times-frac_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
distribute-lft-out_binary64
associate-/l*_binary64
distribute-lft-out--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r*_binary64
associate-/l/_binary64
pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 associate-+r-_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64
Counts
1 → 38
Calls

1 calls:

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

Compiled 527 to 167 computations (68.3% saved)

series52.0ms (1.6%)

Error
0.0b
Counts
1 → 21
Calls

1 calls:

45.0ms
(/.f64 (+.f64 y (-.f64 x z)) t)
Compiler

Compiled 431 to 371 computations (13.9% saved)

simplify78.0ms (2.4%)

Algorithm
egg-herbie
Rules
480×times-frac_binary64
439×unsub-neg_binary64
397×associate-/l*_binary64
382×div-sub_binary64
352×associate-*l/_binary64
305×neg-sub0_binary64
298×distribute-rgt-in_binary64
282×distribute-lft-in_binary64
276×neg-mul-1_binary64
184×associate-/r*_binary64
158×associate-/l/_binary64
139×distribute-rgt-neg-out_binary64
133×distribute-lft-neg-out_binary64
121×sub-neg_binary64
117×associate-/r/_binary64
76×*-commutative_binary64
59×associate-*r/_binary64
56×distribute-frac-neg_binary64 associate-*l*_binary64
53×cancel-sign-sub-inv_binary64
44×log-div_binary64 cube-div_binary64 distribute-rgt-out_binary64 associate-*r*_binary64
43×distribute-neg-in_binary64
40×associate-+l+_binary64
39×exp-prod_binary64 associate-+r+_binary64
38×cube-prod_binary64
36×exp-diff_binary64
31×log-prod_binary64 exp-sum_binary64
28×+-commutative_binary64
22×associate-+r-_binary64
21×distribute-rgt-neg-in_binary64
20×associate-+l-_binary64
19×distribute-lft-neg-in_binary64
16×associate--r+_binary64
15×+-rgt-identity_binary64
14×/-rgt-identity_binary64
13×distribute-neg-frac_binary64 associate--l+_binary64
sqr-neg_binary64
unpow3_binary64 cube-unmult_binary64 cube-neg_binary64 mul-1-neg_binary64 sub0-neg_binary64 sqr-pow_binary64
log-rec_binary64 remove-double-neg_binary64 swap-sqr_binary64 distribute-neg-out_binary64 distribute-rgt-out--_binary64 associate--r-_binary64
*-rgt-identity_binary64 *-lft-identity_binary64
associate--l-_binary64
cube-mult_binary64
--rgt-identity_binary64
1-exp_binary64 div0_binary64 pow-sqr_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 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 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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_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 difference-of-squares_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
Counts
59 → 48
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083892
1179848
2515848
31658803
43950803
55055803

prune24.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh123
Picked011
Done000
Total47552
Error
0b
Counts
52 → 5
Compiler

Compiled 476 to 177 computations (62.8% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

rewrite41.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
16×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64
13×associate-*r*_binary64
10×times-frac_binary64
add-cube-cbrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64 flip3--_binary64 frac-times_binary64 flip--_binary64 unswap-sqr_binary64 associate-*l/_binary64 distribute-lft-out--_binary64
pow-prod-down_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 difference-of-squares_binary64 distribute-lft-out_binary64 div-inv_binary64 *-commutative_binary64
Counts
1 → 39
Calls

1 calls:

12.0ms
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))
Compiler

Compiled 658 to 282 computations (57.1% saved)

series67.0ms (2.1%)

Error
0b
Counts
1 → 21
Calls

1 calls:

60.0ms
(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))
Compiler

Compiled 538 to 475 computations (11.7% saved)

simplify78.0ms (2.4%)

Algorithm
egg-herbie
Rules
656×distribute-rgt-in_binary64
636×distribute-lft-in_binary64
519×times-frac_binary64
300×associate-*r/_binary64
292×associate-*l/_binary64
172×associate-/l*_binary64
74×associate-*l*_binary64
67×*-commutative_binary64
57×associate-*r*_binary64
55×exp-prod_binary64
54×associate-/l/_binary64
50×exp-sum_binary64
44×associate-/r*_binary64
43×sub-neg_binary64 associate-/r/_binary64
34×cancel-sign-sub-inv_binary64
28×+-commutative_binary64
27×distribute-lft-neg-out_binary64
25×div-sub_binary64
22×log-prod_binary64 distribute-rgt-neg-out_binary64
21×*-rgt-identity_binary64
20×cube-prod_binary64 *-lft-identity_binary64
19×neg-sub0_binary64 distribute-rgt-neg-in_binary64
17×neg-mul-1_binary64 sqr-pow_binary64
14×log-div_binary64 distribute-lft-neg-in_binary64
13×cube-div_binary64
12×associate-+l+_binary64
11×distribute-neg-in_binary64
10×exp-diff_binary64 associate--l+_binary64
distribute-rgt-out_binary64
distribute-rgt-out--_binary64
unpow3_binary64 cube-mult_binary64 /-rgt-identity_binary64 swap-sqr_binary64 distribute-neg-frac_binary64 associate-+r+_binary64
distribute-lft-out--_binary64
cube-unmult_binary64 unsub-neg_binary64 distribute-lft-out_binary64
log-rec_binary64 exp-neg_binary64 sqr-neg_binary64 mul-1-neg_binary64 difference-of-squares_binary64
unpow1/2_binary64 associate--r+_binary64
1-exp_binary64 exp-1-e_binary64 pow-sqr_binary64 associate-+l-_binary64 associate-+r-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-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 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 unswap-sqr_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64
Counts
60 → 51
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01271134
13161005
21179909
34472909
45114909

prune27.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New50151
Fresh123
Picked011
Done011
Total51556
Error
0b
Counts
56 → 5
Compiler

Compiled 604 to 271 computations (55.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 t) (cbrt.f64 t))
0.5b
(cbrt.f64 t)
0.5b
(cbrt.f64 t)
0.5b
(cbrt.f64 t)

rewrite55.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
pow1/3_binary64
add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 t) (cbrt.f64 t))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)
Compiler

Compiled 1419 to 417 computations (70.6% saved)

series75.0ms (2.3%)

Error
0b
Counts
4 → 12
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 t) (cbrt.f64 t))
18.0ms
(cbrt.f64 t)
17.0ms
(cbrt.f64 t)
16.0ms
(cbrt.f64 t)
Compiler

Compiled 596 to 465 computations (22% saved)

simplify104.0ms (3.2%)

Algorithm
egg-herbie
Rules
850×log-prod_binary64
525×unswap-sqr_binary64
346×sqr-pow_binary64
307×distribute-rgt-neg-in_binary64
298×associate-*l*_binary64
290×distribute-lft-neg-in_binary64
249×*-commutative_binary64
246×distribute-lft-out_binary64
228×exp-prod_binary64
201×associate-*r*_binary64
181×cube-prod_binary64
164×fabs-mul_binary64
151×swap-sqr_binary64
137×log-pow_binary64
112×cancel-sign-sub-inv_binary64 distribute-rgt-out_binary64
103×pow-sqr_binary64
100×log-div_binary64
98×associate-/l*_binary64
77×neg-mul-1_binary64
58×neg-sub0_binary64
57×rem-sqrt-square_binary64
55×associate-+l+_binary64
50×associate-+r+_binary64
48×distribute-rgt-in_binary64
46×times-frac_binary64
45×distribute-lft-in_binary64
43×unpow3_binary64
41×associate-/r/_binary64
39×pow-plus_binary64
35×associate-*r/_binary64
33×associate-/r*_binary64
32×associate-/l/_binary64
28×cube-mult_binary64 +-commutative_binary64
25×sub-neg_binary64
24×fabs-sqr_binary64
20×cube-unmult_binary64 *-rgt-identity_binary64
19×*-lft-identity_binary64 count-2_binary64
17×cube-div_binary64 fabs-div_binary64 distribute-neg-frac_binary64
16×distribute-rgt1-in_binary64
associate-*l/_binary64
unpow1/2_binary64
distribute-rgt-neg-out_binary64 distribute-lft1-in_binary64
unpow2_binary64
unpow1_binary64 distribute-lft-neg-out_binary64
rem-cbrt-cube_binary64 mul-1-neg_binary64
unpow1/3_binary64
exp-sqrt_binary64 rem-3cbrt-lft_binary64 fabs-fabs_binary64
log-rec_binary64 exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 sub0-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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 fabs-neg_binary64 fabs-sub_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_binary64 /-rgt-identity_binary64 remove-double-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-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
85 → 60
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056642
197594
2309574
3800560
41864436
52894436
64605436
74971436

prune17.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New60060
Fresh022
Picked011
Done022
Total60565
Error
0b
Counts
65 → 5
Compiler

Compiled 525 to 228 computations (56.6% saved)

regimes637.0ms (19.7%)

Accuracy

Total 0.0b remaining (85.4%)

Threshold costs 0.0b (85.4%)

Compiler

Compiled 7818 to 6052 computations (22.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64 *-commutative_binary64
neg-mul-1_binary64 neg-sub0_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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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
01013
11413
21913
32113
42213
52213

end7.0ms (0.2%)

Remove

(sort x y)

Compiler

Compiled 27 to 27 computations (0% saved)

sample820.0ms (25.4%)

Algorithm
intervals
Results
259.0ms8000×body128valid
88.0ms2647×body128invalid
Compiler

Compiled 93 to 78 computations (16.1% saved)

Profiling

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