Details

Time bar (total: 5.6s)

analyze1.0s (18.4%)

Algorithm
search
egg-herbie
Rules
835×unsub-neg_binary64
709×sub-neg_binary64
683×div-sub_binary64
625×neg-mul-1_binary64
504×neg-sub0_binary64
379×distribute-rgt-in_binary64
310×distribute-frac-neg_binary64
272×distribute-lft-in_binary64
242×distribute-rgt-neg-out_binary64 distribute-lft-neg-in_binary64
239×distribute-rgt-neg-in_binary64
220×associate-/r/_binary64
218×remove-double-neg_binary64 distribute-lft-neg-out_binary64
200×distribute-neg-in_binary64
199×associate-/l*_binary64
179×cancel-sign-sub-inv_binary64
176×associate--r+_binary64
145×+-commutative_binary64
123×cancel-sign-sub_binary64 associate-+r+_binary64
122×associate-/l/_binary64
117×distribute-neg-frac_binary64 distribute-neg-out_binary64
112×associate-+l+_binary64
86×associate-+l-_binary64
80×*-commutative_binary64
77×distribute-rgt-out--_binary64
74×div0_binary64
70×mul0-rgt_binary64
64×mul0-lft_binary64
56×associate-*r*_binary64
52×associate-/r*_binary64 associate-*l/_binary64
49×sub0-neg_binary64 distribute-lft-out--_binary64
47×associate-+r-_binary64
41×associate-*r/_binary64
40×associate-*l*_binary64
30×associate--r-_binary64
28×associate--l-_binary64
26×associate--l+_binary64
20×/-rgt-identity_binary64 distribute-rgt-out_binary64
18×*-lft-identity_binary64
17×+-lft-identity_binary64
16×+-rgt-identity_binary64
15×*-rgt-identity_binary64
mul-1-neg_binary64
distribute-lft-out_binary64
1-exp_binary64 remove-double-div_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 --rgt-identity_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
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046143
1101143
2207143
3414143
4848143
51807143
62949143
73752143
84277143
94891143
104916143
114789143
055
155
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
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample34.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
3.0ms79×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify55.0ms (1%)

Algorithm
egg-herbie
Rules
235×cancel-sign-sub-inv_binary64
163×distribute-rgt-in_binary64
116×distribute-lft-in_binary64
115×div-sub_binary64
99×unsub-neg_binary64
85×associate-/l*_binary64
75×sub-neg_binary64
72×associate-*r*_binary64
65×distribute-rgt-neg-in_binary64
64×associate-*l*_binary64
59×distribute-rgt-neg-out_binary64
51×distribute-lft-neg-out_binary64
47×associate-/r*_binary64
46×neg-mul-1_binary64
42×associate-/r/_binary64 associate--r+_binary64
39×neg-sub0_binary64
38×distribute-neg-in_binary64
33×distribute-lft-neg-in_binary64
32×*-commutative_binary64
31×associate-/l/_binary64
29×distribute-neg-frac_binary64
26×associate-*l/_binary64
25×mul0-lft_binary64
24×associate-+l-_binary64 +-commutative_binary64
22×mul0-rgt_binary64
19×associate-+l+_binary64
18×associate--r-_binary64
17×associate-+r+_binary64
14×*-lft-identity_binary64 sub0-neg_binary64 +-lft-identity_binary64
11×distribute-frac-neg_binary64 associate-*r/_binary64
10×remove-double-neg_binary64
associate--l+_binary64
*-rgt-identity_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64
div0_binary64 distribute-rgt-out_binary64
/-rgt-identity_binary64 associate--l-_binary64
+-rgt-identity_binary64
--rgt-identity_binary64 distribute-neg-out_binary64
distribute-lft-out--_binary64
1-exp_binary64 mul-1-neg_binary64 distribute-lft-out_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 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 *-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-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11613
23113
35813
411513
518413
630013
748413
867513
987113
1078813
1179713
1280313
1379213
1479213
1571913

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
5.8b
Counts
1 → 1
Compiler

Compiled 9 to 9 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b
(*.f64 y (-.f64 z t))
5.9b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite91.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64
cancel-sign-sub-inv_binary64
pow1_binary64 add-log-exp_binary64 associate-*r*_binary64
associate-*r/_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
times-frac_binary64 associate-/r*_binary64 associate-*l*_binary64
prod-exp_binary64 div-exp_binary64 cbrt-undiv_binary64 cbrt-unprod_binary64 flip3--_binary64 associate-/l/_binary64 flip--_binary64 sub-neg_binary64
frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 pow-prod-down_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 +-commutative_binary64
Counts
3 → 65
Calls

3 calls:

7.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms
(*.f64 y (-.f64 z t))
5.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
Compiler

Compiled 1003 to 286 computations (71.5% saved)

series181.0ms (3.2%)

Error
0.5b
Counts
3 → 63
Calls

3 calls:

86.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
50.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
26.0ms
(*.f64 y (-.f64 z t))
Compiler

Compiled 1182 to 1016 computations (14% saved)

simplify95.0ms (1.7%)

Algorithm
egg-herbie
Rules
575×times-frac_binary64
487×distribute-rgt-in_binary64
472×distribute-lft-in_binary64
213×associate-/l/_binary64
191×exp-prod_binary64
88×associate-*l*_binary64
85×exp-sum_binary64
78×*-commutative_binary64
76×associate-*r*_binary64
72×associate-/l*_binary64
67×distribute-rgt-neg-in_binary64
63×sub-neg_binary64
55×distribute-neg-frac_binary64 associate-*l/_binary64
54×log-div_binary64 distribute-lft-neg-out_binary64
52×cancel-sign-sub-inv_binary64
51×div-sub_binary64
47×log-prod_binary64
46×distribute-lft-neg-in_binary64
45×distribute-rgt-neg-out_binary64 associate-*r/_binary64
38×neg-sub0_binary64
32×neg-mul-1_binary64
29×distribute-neg-in_binary64
28×exp-diff_binary64 +-commutative_binary64
27×sqr-pow_binary64
26×*-rgt-identity_binary64
23×cube-div_binary64
21×*-lft-identity_binary64
17×unpow3_binary64 associate-/r*_binary64
16×cube-prod_binary64
14×log-rec_binary64
13×exp-neg_binary64 associate-/r/_binary64
10×/-rgt-identity_binary64 swap-sqr_binary64
mul-1-neg_binary64
cube-mult_binary64 remove-double-neg_binary64
unsub-neg_binary64 distribute-rgt-out_binary64 associate--l+_binary64 associate-+l+_binary64
cube-unmult_binary64 difference-of-squares_binary64 distribute-rgt-out--_binary64
cancel-sign-sub_binary64
unswap-sqr_binary64 associate--r-_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+r+_binary64
unpow1/2_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 +-rgt-identity_binary64 pow-sqr_binary64 distribute-frac-neg_binary64 associate--l-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64
Counts
128 → 88
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01481525
13811370
213121370
346161370
450381370

prune42.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New81788
Fresh000
Picked101
Done000
Total82789
Error
0.0b
Counts
89 → 7
Compiler

Compiled 636 to 237 computations (62.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y))))
0.0b
(*.f64 (-.f64 z t) y)
0.4b
(/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y)))
5.9b
(/.f64 a (*.f64 (-.f64 z t) y))

rewrite183.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
42×times-frac_binary64
32×add-exp-log_binary64
31×*-un-lft-identity_binary64
30×add-sqr-sqrt_binary64
26×add-cube-cbrt_binary64
20×add-cbrt-cube_binary64
14×div-exp_binary64
12×associate-*l/_binary64
11×associate-/r/_binary64
10×associate-/r*_binary64
pow1_binary64 cbrt-undiv_binary64 div-inv_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64 associate-/l*_binary64
prod-exp_binary64 associate-*l*_binary64
cbrt-unprod_binary64 1-exp_binary64 rec-exp_binary64 associate-*r*_binary64
frac-2neg_binary64 clear-num_binary64 distribute-lft-out_binary64
inv-pow_binary64 pow-flip_binary64 pow-prod-down_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
4 → 122
Calls

4 calls:

12.0ms
(+.f64 x (/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y))))
9.0ms
(/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y)))
7.0ms
(/.f64 a (*.f64 (-.f64 z t) y))
6.0ms
(*.f64 (-.f64 z t) y)
Compiler

Compiled 2243 to 833 computations (62.9% saved)

series233.0ms (4.1%)

Error
0.0b
Counts
4 → 81
Calls

4 calls:

84.0ms
(+.f64 x (/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y))))
54.0ms
(/.f64 a (*.f64 (-.f64 z t) y))
49.0ms
(/.f64 1 (/.f64 a (*.f64 (-.f64 z t) y)))
29.0ms
(*.f64 (-.f64 z t) y)
Compiler

Compiled 1865 to 1579 computations (15.3% saved)

simplify134.0ms (2.4%)

Algorithm
egg-herbie
Rules
921×times-frac_binary64
429×distribute-rgt-in_binary64
413×distribute-lft-in_binary64
104×exp-prod_binary64
86×*-commutative_binary64
85×associate-/r*_binary64 associate-*r*_binary64
80×associate-/r/_binary64 associate-/l*_binary64
74×cancel-sign-sub-inv_binary64
69×sub-neg_binary64
65×associate-*l*_binary64
64×associate-*l/_binary64
60×distribute-rgt-neg-in_binary64
49×log-prod_binary64
44×associate-/l/_binary64
43×distribute-lft-neg-in_binary64
42×associate-*r/_binary64
40×+-commutative_binary64
39×log-div_binary64 div-sub_binary64
38×neg-sub0_binary64
37×distribute-lft-neg-out_binary64
36×*-rgt-identity_binary64 sqr-pow_binary64
34×neg-mul-1_binary64
32×distribute-neg-frac_binary64
29×distribute-rgt-out_binary64
27×distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
22×cube-div_binary64
19×*-lft-identity_binary64
18×cube-prod_binary64
17×unpow3_binary64 exp-sum_binary64
16×unswap-sqr_binary64
15×associate-+r+_binary64
14×swap-sqr_binary64
13×distribute-rgt-out--_binary64
12×/-rgt-identity_binary64
11×log-rec_binary64
unsub-neg_binary64 mul-1-neg_binary64
exp-diff_binary64 cube-mult_binary64 difference-of-squares_binary64
cube-unmult_binary64 associate--r-_binary64 associate--r+_binary64 associate-+l+_binary64
associate-+r-_binary64
unpow1/2_binary64 remove-double-neg_binary64
unpow2_binary64 pow-plus_binary64 unpow1_binary64 rem-sqrt-square_binary64 sub0-neg_binary64 +-lft-identity_binary64 div0_binary64 remove-double-div_binary64 distribute-lft-out_binary64 associate--l+_binary64
prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 +-rgt-identity_binary64 pow-sqr_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64 associate-+l-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64
Counts
203 → 132
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02083121
14952775
216752721
348792721
449752721

prune69.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1284132
Fresh426
Picked011
Done000
Total1327139
Error
0.0b
Counts
139 → 7
Compiler

Compiled 1083 to 420 computations (61.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
6.8b
(/.f64 (-.f64 z t) (/.f64 a y))

rewrite135.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
119×times-frac_binary64
88×*-un-lft-identity_binary64
86×add-sqr-sqrt_binary64
58×add-cube-cbrt_binary64
14×difference-of-squares_binary64 distribute-lft-out--_binary64
13×associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64
associate-/l*_binary64
add-log-exp_binary64
div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 div-sub_binary64 associate-/l/_binary64
frac-2neg_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64 associate-/r/_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 associate-+r-_binary64 +-commutative_binary64
Counts
2 → 114
Calls

2 calls:

24.0ms
(+.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
9.0ms
(/.f64 (-.f64 z t) (/.f64 a y))
Compiler

Compiled 2007 to 486 computations (75.8% saved)

series141.0ms (2.5%)

Error
0.0b
Counts
2 → 48
Calls

2 calls:

84.0ms
(+.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
49.0ms
(/.f64 (-.f64 z t) (/.f64 a y))
Compiler

Compiled 939 to 784 computations (16.5% saved)

simplify141.0ms (2.5%)

Algorithm
egg-herbie
Rules
508×associate-/r/_binary64
360×associate-/l/_binary64
359×distribute-rgt-in_binary64 distribute-lft-in_binary64
338×div-sub_binary64
302×times-frac_binary64
148×neg-mul-1_binary64
123×associate-*l/_binary64
122×*-commutative_binary64
90×cancel-sign-sub-inv_binary64
86×sub-neg_binary64
75×distribute-neg-frac_binary64
74×distribute-rgt-neg-in_binary64
73×associate-*r/_binary64
67×distribute-lft-neg-in_binary64
61×neg-sub0_binary64
60×associate-/l*_binary64
55×associate-*r*_binary64
40×associate-/r*_binary64
37×*-rgt-identity_binary64
36×associate-*l*_binary64
34×distribute-lft-neg-out_binary64
31×exp-prod_binary64
28×distribute-neg-in_binary64 +-commutative_binary64
22×distribute-rgt-out_binary64
20×distribute-rgt-neg-out_binary64
18×log-div_binary64 cube-div_binary64
17×exp-sum_binary64 sqr-pow_binary64
15×distribute-rgt-out--_binary64
14×log-prod_binary64 cube-prod_binary64 /-rgt-identity_binary64
12×exp-diff_binary64
unpow3_binary64
cube-mult_binary64 mul-1-neg_binary64
*-lft-identity_binary64 unswap-sqr_binary64 swap-sqr_binary64 distribute-lft-out_binary64 associate-+l+_binary64
cube-unmult_binary64 remove-double-neg_binary64 remove-double-div_binary64 associate--r-_binary64 associate--l+_binary64 associate--r+_binary64
sqr-neg_binary64 unsub-neg_binary64 distribute-lft-out--_binary64 associate-+l-_binary64 associate-+r+_binary64
log-rec_binary64 prod-exp_binary64 1-exp_binary64 difference-of-squares_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 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 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 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 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 pow-sqr_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
162 → 122
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02323142
16282989
218742984
344122984
449932984

prune58.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1202122
Fresh325
Picked011
Done101
Total1245129
Error
0b
Counts
129 → 5
Compiler

Compiled 1131 to 297 computations (73.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
6.4b
(*.f64 (-.f64 z t) (/.f64 y a))

rewrite54.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
17×add-sqr-sqrt_binary64
13×associate-*r*_binary64
12×*-un-lft-identity_binary64
10×add-cube-cbrt_binary64 times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
pow1_binary64 add-log-exp_binary64
prod-exp_binary64 cbrt-unprod_binary64 flip3--_binary64 frac-times_binary64 flip--_binary64 unswap-sqr_binary64 associate-*l/_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
2 → 49
Calls

2 calls:

10.0ms
(*.f64 (-.f64 z t) (/.f64 y a))
3.0ms
(+.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
Compiler

Compiled 828 to 221 computations (73.3% saved)

series141.0ms (2.5%)

Error
0b
Counts
2 → 48
Calls

2 calls:

85.0ms
(+.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
49.0ms
(*.f64 (-.f64 z t) (/.f64 y a))
Compiler

Compiled 939 to 784 computations (16.5% saved)

simplify86.0ms (1.5%)

Algorithm
egg-herbie
Rules
757×times-frac_binary64
478×distribute-rgt-in_binary64
465×distribute-lft-in_binary64
408×associate-*r/_binary64
390×associate-*l/_binary64
221×associate-/l*_binary64
81×associate-*l*_binary64
73×*-commutative_binary64
69×associate-/r/_binary64 associate-*r*_binary64
67×associate-/l/_binary64
59×distribute-rgt-neg-in_binary64
57×associate-/r*_binary64
56×cancel-sign-sub-inv_binary64
53×sub-neg_binary64 distribute-lft-neg-out_binary64
44×distribute-lft-neg-in_binary64
41×exp-prod_binary64
39×distribute-rgt-neg-out_binary64
36×distribute-neg-frac_binary64
32×neg-sub0_binary64
29×+-commutative_binary64
27×neg-mul-1_binary64 distribute-neg-in_binary64
26×sqr-pow_binary64
24×exp-sum_binary64 cube-prod_binary64 div-sub_binary64
21×*-rgt-identity_binary64
19×log-prod_binary64
18×log-div_binary64 cube-div_binary64 *-lft-identity_binary64
17×distribute-rgt-out_binary64
13×exp-diff_binary64
11×unpow3_binary64
10×distribute-rgt-out--_binary64
cube-mult_binary64
unswap-sqr_binary64
mul-1-neg_binary64
/-rgt-identity_binary64
swap-sqr_binary64 associate-+l+_binary64
sqr-neg_binary64 difference-of-squares_binary64 distribute-lft-out_binary64
prod-exp_binary64 cube-unmult_binary64 associate--l+_binary64 associate-+l-_binary64
log-rec_binary64 exp-neg_binary64 unsub-neg_binary64 remove-double-neg_binary64 distribute-lft-out--_binary64 associate-+r-_binary64 associate-+r+_binary64
unpow1/2_binary64 1-exp_binary64 exp-1-e_binary64 cube-neg_binary64 pow-sqr_binary64 associate--r-_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 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-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-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
97 → 77
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341344
13511227
212301227
343681227
452311227

prune23.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh033
Picked011
Done011
Total77582
Error
0b
Counts
82 → 5
Compiler

Compiled 551 to 156 computations (71.7% saved)

regimes1.6s (29%)

Accuracy

Total 0.3b remaining (96.3%)

Threshold costs 0.3b (96.3%)

Compiler

Compiled 13024 to 11722 computations (10% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 5 to 7 computations (-40% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64
distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
distribute-neg-frac_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 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-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02769
13869
24869
35969
46569
56869
66969
76969

end1.0ms (0%)

Compiler

Compiled 47 to 25 computations (46.8% saved)

sample1.0s (18.1%)

Algorithm
intervals
Results
291.0ms8000×body128valid
101.0ms2552×body128invalid
Compiler

Compiled 141 to 125 computations (11.3% saved)

Profiling

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