Details

Time bar (total: 7.1s)

analyze2.1s (29.2%)

Algorithm
search
egg-herbie
Rules
1746×div-sub_binary64
834×associate-/l*_binary64
656×sub-neg_binary64
642×distribute-rgt-in_binary64
630×associate-/l/_binary64
512×distribute-lft-in_binary64
446×associate-/r/_binary64
344×unsub-neg_binary64
336×associate-/r*_binary64
274×cancel-sign-sub-inv_binary64
248×remove-double-div_binary64
240×times-frac_binary64
218×*-commutative_binary64
212×associate-*l/_binary64
160×distribute-frac-neg_binary64
135×distribute-rgt-neg-out_binary64
131×associate--r+_binary64
112×distribute-rgt-neg-in_binary64
109×neg-mul-1_binary64
100×distribute-lft-neg-in_binary64
86×neg-sub0_binary64
84×mul0-rgt_binary64
78×div0_binary64
66×mul0-lft_binary64
62×distribute-lft-neg-out_binary64
60×associate--l+_binary64
54×distribute-neg-in_binary64
53×+-commutative_binary64
48×distribute-neg-frac_binary64 associate--r-_binary64 associate--l-_binary64
33×associate-+l-_binary64
30×associate-*r/_binary64
25×associate-*l*_binary64 associate-*r*_binary64
20×/-rgt-identity_binary64
12×mul-1-neg_binary64 *-lft-identity_binary64 sub0-neg_binary64 associate-+r+_binary64
*-rgt-identity_binary64 +-lft-identity_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64 associate-+l+_binary64
remove-double-neg_binary64 +-rgt-identity_binary64
1-exp_binary64 swap-z-t
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 --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 cancel-sign-sub_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02570
15570
28870
312870
418270
529970
630570
762770
8113770
9202170
10193970
11187170
12191570
13195170
14195970
15240370
16244770
17246970
18248570
19244770
20245570
21246370
22246370
23306370
24295970
25289970
26292370
27293570
28293570
29293570
30293570
31346370
32340570
33321370
34321370
35321370
36321370
37321370
38294070
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
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14
Symmetry

(sort z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample47.0ms (0.7%)

Algorithm
intervals
Results
16.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify27.0ms (0.4%)

Algorithm
egg-herbie
Rules
28×cancel-sign-sub-inv_binary64
21×sub-neg_binary64
13×neg-mul-1_binary64 distribute-rgt-neg-in_binary64
12×distribute-rgt-in_binary64
11×unsub-neg_binary64
10×neg-sub0_binary64 associate-/r*_binary64 associate--r+_binary64
distribute-lft-neg-out_binary64 +-commutative_binary64
+-lft-identity_binary64 distribute-lft-in_binary64
sub0-neg_binary64 distribute-lft-neg-in_binary64 associate-+l-_binary64 *-commutative_binary64
distribute-rgt-neg-out_binary64
*-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64
remove-double-neg_binary64 --rgt-identity_binary64 distribute-neg-in_binary64 associate-+l+_binary64
/-rgt-identity_binary64 *-rgt-identity_binary64 associate-/l/_binary64 associate--r-_binary64
1-exp_binary64 +-rgt-identity_binary64 cancel-sign-sub_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--l+_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 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-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 associate-/r/_binary64 associate-/l*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate--l-_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22410
33610
44710
56710
69210
711310
814410
915410
1014910
1112610

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
2.7b
Counts
1 → 1
Compiler

Compiled 7 to 7 computations (0% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.7b
(/.f64 x (-.f64 y (*.f64 z t)))

rewrite68.0ms (1%)

Algorithm
rewrite-expression-head
Error
2.6b
Rules
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64 associate-/r*_binary64
associate-/r/_binary64
pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64
Counts
1 → 29
Calls

1 calls:

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

Compiled 460 to 105 computations (77.2% saved)

series83.0ms (1.2%)

Error
2.6b
Counts
1 → 16
Calls

1 calls:

76.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
Compiler

Compiled 369 to 322 computations (12.7% saved)

simplify159.0ms (2.2%)

Algorithm
egg-herbie
Rules
562×times-frac_binary64
554×difference-of-squares_binary64
423×unsub-neg_binary64
417×sub-neg_binary64
364×associate-/l*_binary64
348×div-sub_binary64
216×associate-/l/_binary64
210×cancel-sign-sub-inv_binary64
183×*-commutative_binary64
180×neg-sub0_binary64
179×neg-mul-1_binary64
178×associate-/r*_binary64
163×distribute-rgt-in_binary64
162×distribute-lft-in_binary64
131×associate-/r/_binary64
116×associate-*l*_binary64
94×distribute-rgt-neg-in_binary64
93×div0_binary64
88×unswap-sqr_binary64
87×associate-*r*_binary64
85×distribute-lft-neg-in_binary64
77×associate-*l/_binary64
63×sub0-neg_binary64 sqr-pow_binary64
62×distribute-rgt-neg-out_binary64
61×distribute-lft-neg-out_binary64
55×cube-prod_binary64
50×associate-*r/_binary64
38×*-rgt-identity_binary64
37×remove-double-neg_binary64
34×/-rgt-identity_binary64
32×+-lft-identity_binary64 associate-+l+_binary64
28×associate-+r+_binary64
27×*-lft-identity_binary64
26×+-commutative_binary64
25×mul0-rgt_binary64 mul0-lft_binary64
19×associate-+l-_binary64
18×swap-sqr_binary64
16×cube-div_binary64
14×distribute-neg-frac_binary64
13×unpow3_binary64
12×cube-unmult_binary64 associate-+r-_binary64
11×+-rgt-identity_binary64 distribute-frac-neg_binary64
10×associate--l-_binary64
pow-plus_binary64
cube-mult_binary64 sqr-neg_binary64 pow-sqr_binary64 associate--r-_binary64 associate--r+_binary64
cube-neg_binary64 remove-double-div_binary64 distribute-neg-in_binary64
associate--l+_binary64
log-prod_binary64 --rgt-identity_binary64
log-div_binary64
mul-1-neg_binary64 distribute-rgt-out--_binary64
unpow2_binary64 unpow1/2_binary64 unpow1_binary64 1-exp_binary64 rem-sqrt-square_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-rgt-out_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_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 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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-out_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64
Counts
45 → 36
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076719
1171677
2457675
31183663
43271663
54055663
65554663

prune58.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New29736
Fresh000
Picked011
Done000
Total29837
Error
2.6b
Counts
37 → 8
Compiler

Compiled 498 to 165 computations (66.9% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(/.f64 1 (-.f64 y (*.f64 t z)))
2.6b
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))

rewrite156.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
2.6b
Rules
25×add-sqr-sqrt_binary64
20×times-frac_binary64
19×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
15×add-exp-log_binary64 associate-*r*_binary64
add-cbrt-cube_binary64
pow1_binary64
div-exp_binary64 prod-exp_binary64 associate-/r/_binary64
unswap-sqr_binary64 associate-*l*_binary64 associate-/l*_binary64 associate-/r*_binary64
1-exp_binary64 rec-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 div-inv_binary64 flip3--_binary64 flip--_binary64
pow-prod-down_binary64 un-div-inv_binary64 associate-*r/_binary64 *-commutative_binary64 inv-pow_binary64 pow-flip_binary64 frac-2neg_binary64 clear-num_binary64
Counts
2 → 71
Calls

2 calls:

17.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))
9.0ms
(/.f64 1 (-.f64 y (*.f64 t z)))
Compiler

Compiled 1210 to 478 computations (60.5% saved)

series164.0ms (2.3%)

Error
2.6b
Counts
2 → 34
Calls

2 calls:

77.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))
73.0ms
(/.f64 1 (-.f64 y (*.f64 t z)))
Compiler

Compiled 859 to 751 computations (12.6% saved)

simplify195.0ms (2.8%)

Algorithm
egg-herbie
Rules
565×div-sub_binary64
421×associate-/r/_binary64
245×associate-*l*_binary64
208×associate-*r*_binary64
196×cancel-sign-sub-inv_binary64
194×unswap-sqr_binary64
182×associate-/l*_binary64
171×distribute-rgt-neg-in_binary64
153×times-frac_binary64
149×distribute-lft-neg-in_binary64
138×distribute-rgt-in_binary64
135×associate-*l/_binary64
133×distribute-lft-in_binary64
128×associate-/r*_binary64
123×cube-prod_binary64
113×associate-*r/_binary64
96×distribute-neg-frac_binary64
82×*-commutative_binary64
72×distribute-lft-neg-out_binary64
67×distribute-rgt-neg-out_binary64
65×sub-neg_binary64
61×associate-/l/_binary64
58×associate-+r+_binary64
54×sqr-pow_binary64
51×neg-sub0_binary64
47×neg-mul-1_binary64
43×*-rgt-identity_binary64
42×associate-+l+_binary64
39×associate-+r-_binary64
33×cube-div_binary64
32×+-commutative_binary64
29×unpow3_binary64 associate-+l-_binary64
28×*-lft-identity_binary64
23×swap-sqr_binary64 distribute-frac-neg_binary64
22×/-rgt-identity_binary64
18×cube-mult_binary64
17×distribute-neg-in_binary64
16×cube-unmult_binary64
14×difference-of-squares_binary64 associate--r+_binary64
13×unsub-neg_binary64
12×sqr-neg_binary64
pow-plus_binary64
exp-prod_binary64 +-rgt-identity_binary64 distribute-rgt-out_binary64 associate--r-_binary64
rem-sqrt-square_binary64 sub0-neg_binary64 pow-sqr_binary64
log-prod_binary64 unpow1/2_binary64 distribute-rgt-out--_binary64 associate--l+_binary64
log-div_binary64
cube-neg_binary64 associate--l-_binary64
unpow2_binary64 unpow1_binary64 remove-double-neg_binary64 distribute-lft-out_binary64
log-rec_binary64 mul-1-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64
1-exp_binary64 exp-1-e_binary64 remove-double-div_binary64 distribute-lft1-in_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_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-square-sqrt_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-neg-out_binary64 distribute-lft-out--_binary64
Counts
105 → 63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01101558
12641425
27711423
322041411
443751411
552601411

prune56.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh066
Picked011
Done011
Total63871
Error
2.6b
Counts
71 → 8
Compiler

Compiled 553 to 206 computations (62.7% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
2.5b
(/.f64 (-.f64 y (*.f64 t z)) x)

rewrite235.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
2.6b
Rules
84×times-frac_binary64
52×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
16×associate-/r*_binary64
15×add-exp-log_binary64
add-cbrt-cube_binary64
div-exp_binary64
div-inv_binary64 associate-/l*_binary64
cbrt-undiv_binary64
pow1_binary64
add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64 1-exp_binary64 rec-exp_binary64
div-sub_binary64 flip3--_binary64 flip--_binary64 inv-pow_binary64 pow-flip_binary64 associate-/r/_binary64
Counts
2 → 106
Calls

2 calls:

11.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
8.0ms
(/.f64 (-.f64 y (*.f64 t z)) x)
Compiler

Compiled 2087 to 653 computations (68.7% saved)

series175.0ms (2.5%)

Error
2.6b
Counts
2 → 37
Calls

2 calls:

83.0ms
(/.f64 (-.f64 y (*.f64 t z)) x)
78.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
Compiler

Compiled 735 to 658 computations (10.5% saved)

simplify279.0ms (3.9%)

Algorithm
egg-herbie
Rules
444×neg-mul-1_binary64
314×times-frac_binary64
300×associate-/r/_binary64
269×associate-/l*_binary64 associate-*l/_binary64
251×associate-/l/_binary64 associate-*l*_binary64
230×div-sub_binary64
217×associate-/r*_binary64
207×exp-prod_binary64
201×associate-*r*_binary64
185×associate-*r/_binary64
175×*-commutative_binary64
173×distribute-lft-neg-out_binary64
167×distribute-rgt-neg-out_binary64
139×cancel-sign-sub-inv_binary64
114×distribute-neg-frac_binary64 distribute-rgt-in_binary64
106×distribute-rgt-neg-in_binary64
103×distribute-lft-in_binary64
102×distribute-frac-neg_binary64
75×distribute-lft-neg-in_binary64
69×sub-neg_binary64
57×neg-sub0_binary64 *-rgt-identity_binary64 swap-sqr_binary64
50×cube-prod_binary64
47×exp-diff_binary64
45×log-prod_binary64
40×log-div_binary64
39×exp-sum_binary64
36×cube-div_binary64
34×associate-+r+_binary64
31×unsub-neg_binary64
29×sqr-pow_binary64
28×/-rgt-identity_binary64
25×*-lft-identity_binary64
24×distribute-neg-in_binary64 +-commutative_binary64
19×associate-+r-_binary64
15×sqr-neg_binary64 unswap-sqr_binary64
11×distribute-rgt-out_binary64 associate-+l+_binary64
10×log-rec_binary64 associate--r-_binary64 associate--r+_binary64
unpow3_binary64
cube-unmult_binary64 mul-1-neg_binary64 associate-+l-_binary64
remove-double-neg_binary64 +-rgt-identity_binary64
cube-mult_binary64 cube-neg_binary64
div0_binary64
--rgt-identity_binary64 remove-double-div_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64
unpow1/2_binary64 +-lft-identity_binary64
rem-sqrt-square_binary64 sub0-neg_binary64 distribute-neg-out_binary64 associate--l-_binary64
unpow2_binary64 pow-plus_binary64 unpow1_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 pow-sqr_binary64 count-2_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 prod-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-square-sqrt_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 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64
Counts
143 → 95
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01492768
13482543
210952525
330042525
443682525
550012525

prune81.0ms (1.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh055
Picked011
Done022
Total958103
Error
2.6b
Counts
103 → 8
Compiler

Compiled 885 to 273 computations (69.2% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)
1.4b
(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z)))
1.5b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z))))

rewrite217.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
2.6b
Rules
39×add-sqr-sqrt_binary64
38×times-frac_binary64
34×add-cube-cbrt_binary64 *-un-lft-identity_binary64
28×cbrt-prod_binary64
24×associate-*r*_binary64
18×add-exp-log_binary64
11×add-cbrt-cube_binary64
pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64 associate-/l*_binary64
add-log-exp_binary64 associate-/r/_binary64
pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 associate-/r*_binary64
div-inv_binary64 flip3--_binary64 flip--_binary64 pow1/3_binary64
associate-*r/_binary64 associate-*l*_binary64 *-commutative_binary64 frac-2neg_binary64 clear-num_binary64
Counts
4 → 110
Calls

4 calls:

33.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z))))
10.0ms
(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z)))
2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)
Compiler

Compiled 2545 to 383 computations (85% saved)

series287.0ms (4.1%)

Error
2.6b
Counts
4 → 38
Calls

4 calls:

118.0ms
(/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z)))
85.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (-.f64 y (*.f64 t z))))
30.0ms
(cbrt.f64 x)
30.0ms
(cbrt.f64 x)
Compiler

Compiled 1418 to 1120 computations (21% saved)

simplify230.0ms (3.3%)

Algorithm
egg-herbie
Rules
675×times-frac_binary64
431×*-commutative_binary64
406×associate-/l/_binary64
331×associate-/r*_binary64
267×div-sub_binary64
232×associate-*l*_binary64
160×associate-*r*_binary64
157×associate-/r/_binary64
116×associate-/l*_binary64
110×log-prod_binary64
104×cube-prod_binary64
93×associate-*r/_binary64
92×unswap-sqr_binary64
88×distribute-rgt-neg-in_binary64
81×associate-*l/_binary64
73×exp-prod_binary64 distribute-lft-neg-in_binary64
70×cancel-sign-sub-inv_binary64
67×log-div_binary64
62×cube-div_binary64
39×distribute-neg-frac_binary64
37×distribute-lft-neg-out_binary64
35×sqr-pow_binary64
31×neg-sub0_binary64
29×*-rgt-identity_binary64 distribute-rgt-neg-out_binary64
28×*-lft-identity_binary64 distribute-rgt-in_binary64
27×distribute-lft-in_binary64
26×sub-neg_binary64
25×neg-mul-1_binary64
19×unpow3_binary64
15×associate-+l+_binary64
14×cube-mult_binary64 distribute-frac-neg_binary64 associate-+l-_binary64
13×swap-sqr_binary64
12×cube-unmult_binary64 associate-+r+_binary64
11×pow-plus_binary64 sqr-neg_binary64 /-rgt-identity_binary64 +-commutative_binary64
associate-+r-_binary64
mul-1-neg_binary64
log-pow_binary64 log-rec_binary64
cube-neg_binary64 rem-sqrt-square_binary64 distribute-rgt-out_binary64 associate--l+_binary64 associate--r+_binary64
exp-diff_binary64
pow-sqr_binary64 difference-of-squares_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out_binary64 associate--l-_binary64
unpow1/3_binary64 unpow1/2_binary64 count-2_binary64 associate--r-_binary64
unpow2_binary64 unpow1_binary64 exp-sum_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-cube-cbrt_binary64 unsub-neg_binary64 remove-double-neg_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_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 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_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 distribute-neg-out_binary64 distribute-lft-out--_binary64
Counts
148 → 90
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01602612
14212274
216642260
342502260
451202260

prune81.0ms (1.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New89190
Fresh044
Picked011
Done033
Total89998
Error
2.6b
Counts
98 → 9
Compiler

Compiled 1046 to 264 computations (74.8% saved)

regimes1.0s (14.5%)

Accuracy

Total 0.1b remaining (3%)

Threshold costs 0.1b (3%)

Compiler

Compiled 6765 to 4905 computations (27.5% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg_binary64 *-commutative_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64
cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64
distribute-lft-neg-out_binary64 distribute-lft-neg-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 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_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22410
33010
43410
53510
63510

end11.0ms (0.2%)

Remove

(sort z t)

Compiler

Compiled 21 to 21 computations (0% saved)

sample1.3s (18.5%)

Algorithm
intervals
Results
415.0ms8000×body128valid
18.0ms371×body128invalid
Compiler

Compiled 168 to 139 computations (17.3% saved)

Profiling

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