Details

Time bar (total: 3.0s)

analyze410.0ms (13.6%)

Algorithm
search
egg-herbie
Rules
100×distribute-rgt-in_binary64
78×associate-+l+_binary64
66×associate-+r+_binary64
64×distribute-lft-in_binary64
47×+-commutative_binary64
24×*-rgt-identity_binary64
18×distribute-rgt-out_binary64 associate-*l*_binary64 associate-*r*_binary64
16×*-commutative_binary64
15×*-lft-identity_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 /-rgt-identity_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-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 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01640
14340
210340
317440
430240
530240
627840
726440
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
21.8%78%0.1%7
26.5%73.3%0.1%8
36.7%63.2%0.1%9
41.3%49.9%8.7%10
47.2%43.3%9.5%11
54.4%35.5%10.1%12
57.9%27.4%14.7%13
61.7%23.2%15.1%14
Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample21.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms12×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify11.0ms (0.4%)

Algorithm
egg-herbie
Rules
33×distribute-rgt-in_binary64
26×associate-+l+_binary64
22×associate-+r+_binary64
21×distribute-lft-in_binary64
16×+-commutative_binary64
11×*-rgt-identity_binary64
distribute-rgt-out_binary64 associate-*l*_binary64 associate-*r*_binary64
*-lft-identity_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 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 /-rgt-identity_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-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 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11910
24310
37210
411610
511810
611010
710410

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite37.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
*-un-lft-identity_binary64
flip3-+_binary64 flip-+_binary64
add-sqr-sqrt_binary64
frac-times_binary64 associate-*l*_binary64 associate-*r*_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64
associate-*l/_binary64 associate-*r/_binary64 distribute-lft-out_binary64
pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 *-commutative_binary64
Counts
1 → 30
Calls

1 calls:

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

Compiled 456 to 237 computations (48% saved)

series36.0ms (1.2%)

Error
0.0b
Counts
1 → 18
Calls

1 calls:

29.0ms
(*.f64 (+.f64 x y) (+.f64 z 1))
Compiler

Compiled 292 to 216 computations (26% saved)

simplify88.0ms (2.9%)

Algorithm
egg-herbie
Rules
803×distribute-rgt-in_binary64
766×distribute-lft-in_binary64
258×unsub-neg_binary64
250×cancel-sign-sub-inv_binary64
230×sub-neg_binary64
224×neg-mul-1_binary64
216×neg-sub0_binary64
211×*-commutative_binary64
161×associate-+r+_binary64
117×associate-+l+_binary64
104×unswap-sqr_binary64
87×sqr-pow_binary64
79×exp-sum_binary64
78×distribute-rgt-out_binary64
77×associate-*l*_binary64
72×*-rgt-identity_binary64
70×distribute-lft-neg-out_binary64
64×associate-+l-_binary64
63×associate-*r*_binary64
62×*-lft-identity_binary64 distribute-rgt-neg-out_binary64
53×exp-prod_binary64
50×associate-+r-_binary64
43×rem-sqrt-square_binary64
40×sub0-neg_binary64
34×distribute-rgt-neg-in_binary64
33×+-commutative_binary64
29×+-rgt-identity_binary64 distribute-neg-in_binary64
25×associate--r+_binary64
23×distribute-lft-neg-in_binary64
20×remove-double-neg_binary64
19×mul-1-neg_binary64
16×pow-sqr_binary64 distribute-neg-out_binary64
14×swap-sqr_binary64
12×cube-prod_binary64
10×distribute-rgt1-in_binary64
unpow1/2_binary64 distribute-lft1-in_binary64
div-sub_binary64 difference-of-squares_binary64 distribute-rgt-out--_binary64
log-prod_binary64 exp-diff_binary64
sqr-neg_binary64 distribute-lft-out_binary64
unpow3_binary64 cube-unmult_binary64 cube-mult_binary64
associate-/l/_binary64 associate-/l*_binary64 associate-*r/_binary64 associate--l+_binary64
pow-plus_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 difference-of-sqr-1_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 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 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 times-frac_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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 associate--r-_binary64 associate--l-_binary64
Counts
48 → 42
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083700
1270622
2854622
33032622
43711622
54802622
64982622

prune23.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh000
Picked011
Done000
Total39443
Error
0b
Counts
43 → 4
Compiler

Compiled 413 to 220 computations (46.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
0.0b
(*.f64 z (+.f64 y x))

rewrite49.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
*-un-lft-identity_binary64
add-log-exp_binary64
add-sqr-sqrt_binary64 flip3-+_binary64 associate-*r/_binary64 flip-+_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 associate-*r*_binary64 frac-add_binary64
associate-*l*_binary64 sum-log_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64 distribute-lft-out_binary64 distribute-rgt-out_binary64 associate-+l+_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 *-commutative_binary64 distribute-lft1-in_binary64 associate-+r+_binary64 +-commutative_binary64
Counts
2 → 45
Calls

2 calls:

8.0ms
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
6.0ms
(*.f64 z (+.f64 y x))
Compiler

Compiled 782 to 185 computations (76.3% saved)

series72.0ms (2.4%)

Error
0b
Counts
2 → 33
Calls

2 calls:

32.0ms
(+.f64 (*.f64 z (+.f64 y x)) (+.f64 y x))
26.0ms
(*.f64 z (+.f64 y x))
Compiler

Compiled 564 to 395 computations (30% saved)

simplify83.0ms (2.8%)

Algorithm
egg-herbie
Rules
413×associate--l+_binary64
365×associate-+l+_binary64
338×*-commutative_binary64
333×associate-+r+_binary64
319×distribute-rgt-out_binary64
304×associate--r+_binary64
243×cancel-sign-sub-inv_binary64
154×sub-neg_binary64
148×distribute-rgt-in_binary64
139×distribute-lft-in_binary64
127×unsub-neg_binary64
122×associate-*l*_binary64
120×neg-mul-1_binary64
116×+-commutative_binary64
104×associate-*r*_binary64
92×distribute-rgt-neg-in_binary64 distribute-rgt-out--_binary64
78×distribute-neg-in_binary64
73×distribute-lft-neg-in_binary64
66×exp-sum_binary64
59×distribute-lft-out_binary64
53×neg-sub0_binary64 sqr-pow_binary64
39×exp-prod_binary64
35×distribute-lft-neg-out_binary64
30×associate--r-_binary64
26×associate--l-_binary64
24×distribute-rgt1-in_binary64
23×distribute-rgt-neg-out_binary64
21×associate-+r-_binary64
20×unswap-sqr_binary64
19×distribute-lft1-in_binary64
17×+-rgt-identity_binary64
15×cube-prod_binary64 *-lft-identity_binary64 associate-+l-_binary64
14×log-prod_binary64 swap-sqr_binary64
10×*-rgt-identity_binary64
distribute-lft-out--_binary64
div-sub_binary64 sub0-neg_binary64
pow-plus_binary64
unpow3_binary64 unpow1/2_binary64
prod-exp_binary64 cube-mult_binary64 pow-sqr_binary64 difference-of-squares_binary64
exp-diff_binary64
sqr-neg_binary64 rem-sqrt-square_binary64 distribute-neg-out_binary64 associate-/l*_binary64
unpow2_binary64 1-exp_binary64 exp-1-e_binary64 cube-unmult_binary64 difference-of-sqr--1_binary64 count-2_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 log-rec_binary64 log-div_binary64 pow-base-0_binary64 unpow1/3_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 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 times-frac_binary64 mul-1-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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 associate-/r/_binary64 associate-/r*_binary64 associate-*l/_binary64
Counts
78 → 56
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0107995
1322926
21227902
32782902
44897902
54774902

prune30.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh112
Picked101
Done011
Total57360
Error
0b
Counts
60 → 3
Compiler

Compiled 553 to 193 computations (65.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 y (+.f64 x (*.f64 x z)))
0.0b
(+.f64 (*.f64 y z) (+.f64 y (+.f64 x (*.f64 x z))))
0.0b
(+.f64 x (*.f64 x z))

rewrite43.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-log-exp_binary64
10×sum-log_binary64
*-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
associate-+r+_binary64
distribute-lft-out_binary64
Counts
3 → 39
Calls

3 calls:

8.0ms
(+.f64 (*.f64 y z) (+.f64 y (+.f64 x (*.f64 x z))))
4.0ms
(+.f64 y (+.f64 x (*.f64 x z)))
3.0ms
(+.f64 x (*.f64 x z))
Compiler

Compiled 754 to 154 computations (79.6% saved)

series90.0ms (3%)

Error
0b
Counts
3 → 45
Calls

3 calls:

33.0ms
(+.f64 (*.f64 y z) (+.f64 y (+.f64 x (*.f64 x z))))
28.0ms
(+.f64 y (+.f64 x (*.f64 x z)))
15.0ms
(+.f64 x (*.f64 x z))
Compiler

Compiled 806 to 560 computations (30.5% saved)

simplify94.0ms (3.1%)

Algorithm
egg-herbie
Rules
902×distribute-rgt-in_binary64
832×distribute-lft-in_binary64
373×associate-*l*_binary64
332×associate-*r*_binary64
299×sub-neg_binary64
140×unsub-neg_binary64
128×cancel-sign-sub-inv_binary64
108×associate--r+_binary64
81×associate--l+_binary64
76×sqr-pow_binary64
73×distribute-neg-in_binary64
61×neg-sub0_binary64
56×distribute-rgt-neg-in_binary64
54×*-commutative_binary64
53×neg-mul-1_binary64
46×distribute-lft-neg-in_binary64
45×distribute-rgt-out_binary64
40×+-commutative_binary64
35×distribute-lft-out_binary64
32×cube-prod_binary64
31×exp-prod_binary64
29×associate-+l+_binary64
28×distribute-lft-neg-out_binary64
27×exp-sum_binary64 associate-+r+_binary64
25×*-lft-identity_binary64
24×prod-exp_binary64
20×*-rgt-identity_binary64
19×distribute-rgt-neg-out_binary64 distribute-rgt-out--_binary64
15×log-prod_binary64 unpow3_binary64
12×distribute-rgt1-in_binary64
10×pow-sqr_binary64
pow-plus_binary64 cube-mult_binary64 unswap-sqr_binary64
swap-sqr_binary64 distribute-lft-out--_binary64
cube-unmult_binary64
associate--l-_binary64
difference-of-squares_binary64 associate-+l-_binary64 associate-+r-_binary64
1-exp_binary64 exp-1-e_binary64 distribute-lft1-in_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 unpow1/2_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 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_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 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 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r/_binary64 associate-/l*_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--r-_binary64
Counts
84 → 48
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0891083
1273984
2939915
34556915
44903915
55076915

prune23.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh011
Picked011
Done011
Total48351
Error
0b
Counts
51 → 3
Compiler

Compiled 513 to 219 computations (57.3% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (+.f64 z 1) (+.f64 y x))
3.1b
(exp.f64 (log.f64 (*.f64 (+.f64 z 1) (+.f64 y x))))

rewrite56.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
12×flip3-+_binary64 flip-+_binary64
*-un-lft-identity_binary64
frac-times_binary64 log-div_binary64 exp-diff_binary64
pow1_binary64 add-sqr-sqrt_binary64
exp-prod_binary64 add-cube-cbrt_binary64
associate-*l/_binary64 associate-*r/_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64 associate-*r*_binary64
pow-prod-down_binary64 log-pow_binary64 add-log-exp_binary64 distribute-lft-out_binary64
log-prod_binary64 exp-sum_binary64 rem-exp-log_binary64 prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 *-commutative_binary64
Counts
2 → 52
Calls

2 calls:

10.0ms
(exp.f64 (log.f64 (*.f64 (+.f64 z 1) (+.f64 y x))))
8.0ms
(*.f64 (+.f64 z 1) (+.f64 y x))
Compiler

Compiled 935 to 541 computations (42.1% saved)

series738.0ms (24.5%)

Error
0b
Counts
2 → 36
Calls

2 calls:

683.0ms
(exp.f64 (log.f64 (*.f64 (+.f64 z 1) (+.f64 y x))))
35.0ms
(*.f64 (+.f64 z 1) (+.f64 y x))
Compiler

Compiled 1457 to 1147 computations (21.3% saved)

simplify91.0ms (3%)

Algorithm
egg-herbie
Rules
561×associate-/l*_binary64
374×*-commutative_binary64
289×prod-exp_binary64
237×associate-+l+_binary64
231×associate-/l/_binary64
215×associate-+r+_binary64
200×associate-/r*_binary64
192×associate-*l/_binary64
173×log-prod_binary64
158×div-exp_binary64
143×log-div_binary64
142×distribute-rgt-in_binary64
138×exp-prod_binary64
137×associate-/r/_binary64
132×distribute-lft-in_binary64
104×associate-*l*_binary64
99×associate-*r/_binary64
95×associate-*r*_binary64
80×exp-sum_binary64
66×times-frac_binary64
51×+-commutative_binary64
46×sub-neg_binary64
45×associate-+r-_binary64
44×distribute-rgt-out_binary64
37×rem-exp-log_binary64
29×cancel-sign-sub-inv_binary64
25×log-rec_binary64
24×associate--r-_binary64
23×associate--l+_binary64
20×unsub-neg_binary64
19×sqr-pow_binary64
18×exp-diff_binary64 /-rgt-identity_binary64 distribute-lft-neg-out_binary64
17×associate-+l-_binary64
16×neg-sub0_binary64
15×*-rgt-identity_binary64 distribute-lft-out_binary64 associate--r+_binary64
14×neg-mul-1_binary64
12×*-lft-identity_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
10×exp-to-pow_binary64 cube-prod_binary64 div-sub_binary64 mul-1-neg_binary64 unswap-sqr_binary64 distribute-frac-neg_binary64 distribute-lft-neg-in_binary64
rec-exp_binary64 distribute-rgt1-in_binary64
swap-sqr_binary64 distribute-rgt-neg-in_binary64
log-pow_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64
*-inverses_binary64
unpow3_binary64 exp-neg_binary64 cube-unmult_binary64 cube-mult_binary64 remove-double-neg_binary64 count-2_binary64
rgt-mult-inverse_binary64 pow-sqr_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 rem-log-exp_binary64 difference-of-sqr-1_binary64 difference-of-squares_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 unpow2_binary64 pow-plus_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 cube-div_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 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 +-inverses_binary64 lft-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64
Counts
88 → 76
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02041532
15511329
217321267
340341267
451171267

prune38.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done022
Total76379
Error
0b
Counts
79 → 3
Compiler

Compiled 834 to 459 computations (45% saved)

regimes368.0ms (12.2%)

Accuracy

Total 0.0b remaining (76.8%)

Threshold costs 0.0b (76.8%)

Compiler

Compiled 2556 to 2283 computations (10.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_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
0713
11013
21013

end6.0ms (0.2%)

Remove

(sort x y)

Compiler

Compiled 27 to 18 computations (33.3% saved)

sample580.0ms (19.2%)

Algorithm
intervals
Results
198.0ms7999×body128valid
13.0ms587×body128invalid
0.0msbody1024valid
Compiler

Compiled 47 to 53 computations (-12.8% saved)

Profiling

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