Details

Time bar (total: 4.0s)

analyze925.0ms (23.3%)

Algorithm
search
egg-herbie
Rules
760×unsub-neg_binary64
699×div-sub_binary64
554×sub-neg_binary64
537×associate-/l*_binary64
519×neg-mul-1_binary64
516×distribute-rgt-in_binary64
433×neg-sub0_binary64
396×associate-/r*_binary64
381×*-commutative_binary64
378×distribute-frac-neg_binary64
367×distribute-rgt-neg-in_binary64
355×distribute-lft-neg-in_binary64
340×cancel-sign-sub-inv_binary64
295×distribute-neg-frac_binary64
261×associate--r+_binary64
237×distribute-lft-in_binary64
224×distribute-rgt-neg-out_binary64
209×distribute-lft-neg-out_binary64
165×+-commutative_binary64
158×remove-double-neg_binary64
145×distribute-neg-in_binary64
112×associate-+l-_binary64
105×distribute-neg-out_binary64
92×associate--l+_binary64
79×associate-+r+_binary64
68×/-rgt-identity_binary64 distribute-rgt-out--_binary64
67×div0_binary64
66×mul0-rgt_binary64
63×associate-/r/_binary64
62×mul0-lft_binary64
59×associate-+l+_binary64
55×sub0-neg_binary64
53×distribute-rgt-out_binary64
51×associate-*l/_binary64
41×associate-*r*_binary64
38×associate-+r-_binary64
36×+-rgt-identity_binary64
30×associate-*r/_binary64
27×*-lft-identity_binary64
26×distribute-lft-out--_binary64 associate-*l*_binary64 associate--l-_binary64
23×associate--r-_binary64
19×+-lft-identity_binary64
16×*-rgt-identity_binary64
12×distribute-rgt1-in_binary64
11×associate-/l/_binary64
distribute-lft1-in_binary64
distribute-lft-out_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 mul-1-neg_binary64 --rgt-identity_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 count-2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03191
16991
218491
333291
461591
5129291
6223191
7369791
8378691
9406291
10418691
11432691
12448391
13457191
14484591
15496391
16496391
17496391
18491491
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
17.2%82.7%0.2%9
21.8%78%0.2%10
30%68.8%1.2%11
31.8%65.3%2.9%12
40.1%55.3%4.6%13
44.5%50.1%5.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample24.0ms (0.6%)

Algorithm
intervals
Results
8.0ms256×body128valid
2.0ms75×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify57.0ms (1.4%)

Algorithm
egg-herbie
Rules
220×cancel-sign-sub-inv_binary64
144×distribute-rgt-in_binary64
112×div-sub_binary64
99×distribute-lft-in_binary64
98×unsub-neg_binary64
92×associate-/l*_binary64
80×sub-neg_binary64
69×associate-*r*_binary64
64×associate-*l*_binary64
62×distribute-rgt-neg-in_binary64
54×associate-/r*_binary64
51×distribute-rgt-neg-out_binary64
46×distribute-lft-neg-out_binary64
42×neg-mul-1_binary64
39×*-commutative_binary64
37×associate-/r/_binary64
35×distribute-neg-in_binary64 distribute-lft-neg-in_binary64 associate--r+_binary64
34×neg-sub0_binary64
28×associate-+l-_binary64
27×distribute-neg-frac_binary64 associate-/l/_binary64
26×mul0-lft_binary64 associate-*l/_binary64
25×mul0-rgt_binary64
18×+-commutative_binary64
17×sub0-neg_binary64 +-lft-identity_binary64
15×distribute-rgt-out--_binary64
13×associate-+l+_binary64 associate-+r+_binary64
12×remove-double-neg_binary64 distribute-frac-neg_binary64 associate-+r-_binary64
11×associate--r-_binary64
10×associate-*r/_binary64
*-lft-identity_binary64 distribute-rgt-out_binary64
*-rgt-identity_binary64 associate--l+_binary64
div0_binary64
--rgt-identity_binary64
/-rgt-identity_binary64
+-rgt-identity_binary64 associate--l-_binary64
1-exp_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_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 mul-1-neg_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-lft-out--_binary64 count-2_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11513
23513
36513
411813
519613
630413
752313
873413
986913
1080213
1182813
1281813
1381913
1481913
1573413

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
1.5b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

7.2b
(*.f64 (/.f64 x y) (-.f64 z t))

rewrite59.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
18×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64 associate-*l*_binary64
11×add-cube-cbrt_binary64
10×times-frac_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 cancel-sign-sub-inv_binary64
associate-*r*_binary64
distribute-rgt-in_binary64 distribute-lft-in_binary64
pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64 flip3--_binary64 frac-times_binary64 flip--_binary64 unswap-sqr_binary64 sub-neg_binary64 associate-*r/_binary64
pow-prod-down_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*l/_binary64 div-inv_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
1 → 46
Calls

1 calls:

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

Compiled 746 to 225 computations (69.8% saved)

series55.0ms (1.4%)

Error
0.1b
Counts
1 → 18
Calls

1 calls:

48.0ms
(*.f64 (/.f64 x y) (-.f64 z t))
Compiler

Compiled 386 to 298 computations (22.8% saved)

simplify82.0ms (2.1%)

Algorithm
egg-herbie
Rules
551×div-sub_binary64
419×times-frac_binary64
257×distribute-lft-neg-out_binary64
254×associate-*l/_binary64
252×distribute-rgt-neg-out_binary64
249×unsub-neg_binary64
233×distribute-rgt-in_binary64
226×distribute-lft-in_binary64
212×*-commutative_binary64
211×associate-/l*_binary64
201×associate-*r/_binary64
160×exp-prod_binary64
92×neg-sub0_binary64
88×neg-mul-1_binary64
87×associate-*l*_binary64
70×associate-*r*_binary64
66×sub-neg_binary64
56×exp-sum_binary64
53×associate-/r*_binary64
52×*-lft-identity_binary64
50×*-rgt-identity_binary64 cancel-sign-sub-inv_binary64
47×exp-diff_binary64
46×distribute-frac-neg_binary64
40×cube-prod_binary64 sqr-pow_binary64
34×log-prod_binary64 associate-/r/_binary64
33×exp-neg_binary64
30×log-div_binary64
28×cube-div_binary64 mul0-rgt_binary64 mul0-lft_binary64
27×swap-sqr_binary64
24×sqr-neg_binary64 +-commutative_binary64
23×distribute-neg-frac_binary64
22×distribute-rgt-neg-in_binary64
21×cube-neg_binary64
18×unpow3_binary64
17×unswap-sqr_binary64
16×associate-/l/_binary64
15×cube-mult_binary64 distribute-lft-neg-in_binary64
13×/-rgt-identity_binary64 distribute-neg-out_binary64
12×distribute-neg-in_binary64
11×associate-+l-_binary64 associate-+l+_binary64
10×associate-+r+_binary64
cube-unmult_binary64 associate-+r-_binary64
+-rgt-identity_binary64 difference-of-squares_binary64
pow-sqr_binary64
log-rec_binary64
rem-sqrt-square_binary64 mul-1-neg_binary64 sub0-neg_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64
unpow1/2_binary64 remove-double-neg_binary64
div0_binary64 associate--r+_binary64
1-exp_binary64 exp-1-e_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 cancel-sign-sub_binary64 associate--r-_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 --rgt-identity_binary64 +-lft-identity_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-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate--l-_binary64 associate--l+_binary64
Counts
64 → 52
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0123878
1324812
2906812
32566812
44572812
55575812

prune37.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46652
Fresh000
Picked011
Done000
Total46753
Error
0.0b
Counts
53 → 7
Compiler

Compiled 531 to 204 computations (61.6% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.7b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

rewrite111.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
73×add-exp-log_binary64
39×add-cbrt-cube_binary64
37×prod-exp_binary64 cbrt-unprod_binary64
17×div-exp_binary64 cbrt-undiv_binary64
pow1_binary64 frac-times_binary64 cbrt-prod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
associate-*r/_binary64
associate-*l/_binary64 associate-*l*_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64
pow-prod-down_binary64 pow1/3_binary64
times-frac_binary64 div-inv_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
4 → 90
Calls

4 calls:

20.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 2923 to 434 computations (85.2% saved)

series125.0ms (3.2%)

Error
0.0b
Counts
4 → 27
Calls

4 calls:

63.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
18.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
16.0ms
(cbrt.f64 x)
Compiler

Compiled 1052 to 712 computations (32.3% saved)

simplify76.0ms (1.9%)

Algorithm
egg-herbie
Rules
524×distribute-rgt-in_binary64
521×distribute-lft-in_binary64
213×associate-*l*_binary64
193×associate-*r*_binary64
169×associate-*l/_binary64
162×times-frac_binary64
117×associate-*r/_binary64
112×associate-/l*_binary64 *-commutative_binary64
86×associate-/r*_binary64
78×unswap-sqr_binary64
54×distribute-rgt-neg-in_binary64
52×log-prod_binary64
49×sub-neg_binary64
47×cancel-sign-sub-inv_binary64
46×distribute-lft-neg-in_binary64
36×log-div_binary64
30×sqr-pow_binary64
29×exp-prod_binary64
25×distribute-rgt-neg-out_binary64
24×div-sub_binary64 distribute-lft-neg-out_binary64
21×neg-sub0_binary64 swap-sqr_binary64 distribute-neg-frac_binary64
20×+-commutative_binary64
18×cube-div_binary64 cube-prod_binary64
17×associate-+l-_binary64
16×distribute-neg-in_binary64
14×neg-mul-1_binary64
13×distribute-frac-neg_binary64
12×cube-unmult_binary64 mul-1-neg_binary64
10×associate-+r+_binary64
associate-+l+_binary64
associate-/r/_binary64
pow-plus_binary64 exp-sum_binary64 distribute-rgt-out_binary64
*-lft-identity_binary64 pow-sqr_binary64 distribute-rgt-out--_binary64 associate-+r-_binary64
log-pow_binary64 rem-sqrt-square_binary64 associate--l+_binary64 associate--r+_binary64
unpow3_binary64 cube-mult_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
unpow1/3_binary64 rem-3cbrt-lft_binary64 count-2_binary64
exp-diff_binary64 1-exp_binary64 rem-cube-cbrt_binary64 unsub-neg_binary64 remove-double-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out_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-rec_binary64 pow-base-0_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 prod-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-cbrt-cube_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 /-rgt-identity_binary64 *-rgt-identity_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-out_binary64 associate--l-_binary64
Counts
117 → 84
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01663507
14321274
218661274
349881274

prune31.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done011
Total84791
Error
0.0b
Counts
91 → 7
Compiler

Compiled 761 to 248 computations (67.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b
(*.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
12.1b
(cbrt.f64 (/.f64 x y))
12.1b
(cbrt.f64 (/.f64 x y))
12.1b
(cbrt.f64 (/.f64 x y))

rewrite148.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
39×cbrt-div_binary64 cbrt-prod_binary64
29×frac-times_binary64
27×times-frac_binary64
25×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
17×associate-*l/_binary64
16×pow1_binary64 add-exp-log_binary64
15×associate-*r/_binary64
10×add-cbrt-cube_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 flip3--_binary64 flip--_binary64
add-log-exp_binary64
pow1/3_binary64 div-inv_binary64
associate-*l*_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
4 → 111
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
3.0ms
(cbrt.f64 (/.f64 x y))
2.0ms
(cbrt.f64 (/.f64 x y))
2.0ms
(cbrt.f64 (/.f64 x y))
Compiler

Compiled 3042 to 566 computations (81.4% saved)

series209.0ms (5.3%)

Error
0.0b
Counts
4 → 36
Calls

4 calls:

63.0ms
(*.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
44.0ms
(cbrt.f64 (/.f64 x y))
43.0ms
(cbrt.f64 (/.f64 x y))
42.0ms
(cbrt.f64 (/.f64 x y))
Compiler

Compiled 1844 to 1267 computations (31.3% saved)

simplify91.0ms (2.3%)

Algorithm
egg-herbie
Rules
486×distribute-rgt-in_binary64
482×distribute-lft-in_binary64
321×associate-*l/_binary64
294×associate-/l*_binary64
207×times-frac_binary64
196×associate-*l*_binary64 associate-*r*_binary64
145×associate-/r*_binary64
105×*-commutative_binary64
64×cancel-sign-sub-inv_binary64
53×associate-/r/_binary64
39×distribute-rgt-neg-in_binary64
38×distribute-lft-neg-in_binary64
36×sub-neg_binary64
34×associate-/l/_binary64
33×exp-prod_binary64
31×sqr-pow_binary64
30×distribute-lft-neg-out_binary64
27×distribute-rgt-neg-out_binary64
25×div-sub_binary64
24×associate-*r/_binary64
23×neg-sub0_binary64
22×exp-sum_binary64
21×unswap-sqr_binary64
18×+-commutative_binary64
17×neg-mul-1_binary64
16×log-prod_binary64 distribute-neg-frac_binary64
13×log-div_binary64 swap-sqr_binary64
12×distribute-frac-neg_binary64
11×exp-diff_binary64 mul-1-neg_binary64
distribute-neg-in_binary64
cube-unmult_binary64 cube-prod_binary64 associate-+r+_binary64
unsub-neg_binary64 distribute-rgt-out_binary64 associate-+l+_binary64
cube-div_binary64 *-rgt-identity_binary64 pow-sqr_binary64
exp-neg_binary64 distribute-neg-out_binary64 distribute-rgt-out--_binary64 associate-+l-_binary64
unpow1/3_binary64 unpow3_binary64 exp-to-pow_binary64 cube-mult_binary64 rem-3cbrt-lft_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 difference-of-squares_binary64
log-rec_binary64 distribute-lft-out_binary64 associate--r-_binary64 associate--l-_binary64 associate-+r-_binary64
log-pow_binary64 pow-plus_binary64 1-exp_binary64 rem-3cbrt-rft_binary64 rem-cube-cbrt_binary64 *-lft-identity_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow2_binary64 unpow1/2_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cbrt-cube_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 +-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-lft-out--_binary64 associate--l+_binary64 associate--r+_binary64
Counts
147 → 87
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01932973
14792445
213152385
351652385

prune43.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh044
Picked011
Done022
Total87794
Error
0.0b
Counts
94 → 7
Compiler

Compiled 1056 to 315 computations (70.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 z t) y)
5.3b
(*.f64 x (/.f64 (-.f64 z t) y))

rewrite96.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
41×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64
31×times-frac_binary64
22×add-cube-cbrt_binary64
19×associate-*r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/l*_binary64
pow1_binary64
associate-*l*_binary64 associate-/r*_binary64
div-exp_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-inv_binary64 associate-/l/_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64
Counts
2 → 76
Calls

2 calls:

10.0ms
(*.f64 x (/.f64 (-.f64 z t) y))
8.0ms
(/.f64 (-.f64 z t) y)
Compiler

Compiled 1149 to 311 computations (72.9% saved)

series88.0ms (2.2%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

48.0ms
(*.f64 x (/.f64 (-.f64 z t) y))
31.0ms
(/.f64 (-.f64 z t) y)
Compiler

Compiled 671 to 526 computations (21.6% saved)

simplify130.0ms (3.3%)

Algorithm
egg-herbie
Rules
335×distribute-rgt-neg-out_binary64
320×associate-*l*_binary64
305×distribute-lft-neg-out_binary64
294×associate-*l/_binary64
280×associate-*r/_binary64
276×div-sub_binary64
259×associate-*r*_binary64
249×distribute-rgt-in_binary64
245×distribute-lft-in_binary64
233×associate-/l*_binary64
130×*-commutative_binary64
115×times-frac_binary64
105×distribute-frac-neg_binary64
100×associate-/l/_binary64
83×sub-neg_binary64
75×associate-/r*_binary64
74×associate-/r/_binary64
69×exp-prod_binary64
59×log-div_binary64 neg-sub0_binary64
53×exp-sum_binary64 *-lft-identity_binary64
52×log-prod_binary64 cube-div_binary64
47×*-rgt-identity_binary64
45×cancel-sign-sub-inv_binary64
44×exp-diff_binary64
43×cube-prod_binary64
39×neg-mul-1_binary64
35×unsub-neg_binary64
34×distribute-neg-frac_binary64
32×unpow3_binary64
29×+-commutative_binary64
28×/-rgt-identity_binary64
27×sqr-pow_binary64
23×cube-neg_binary64
21×exp-neg_binary64
19×swap-sqr_binary64
18×distribute-neg-in_binary64
15×mul-1-neg_binary64 unswap-sqr_binary64
14×cube-mult_binary64 associate-+r+_binary64
13×associate-+r-_binary64
12×distribute-rgt-neg-in_binary64
11×associate-+l+_binary64
log-rec_binary64 +-rgt-identity_binary64 associate-+l-_binary64
cube-unmult_binary64
sqr-neg_binary64
distribute-lft-neg-in_binary64
remove-double-neg_binary64 pow-sqr_binary64 associate--r+_binary64
remove-double-div_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 associate--l-_binary64
unpow1/2_binary64 sub0-neg_binary64 div0_binary64 distribute-neg-out_binary64 associate--r-_binary64
1-exp_binary64 exp-1-e_binary64 --rgt-identity_binary64 mul0-rgt_binary64 mul0-lft_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 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-sqrt-square_binary64 rem-square-sqrt_binary64 +-lft-identity_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 distribute-lft-out_binary64 count-2_binary64
Counts
109 → 60
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01291378
13131283
29581283
328661283
446751283
549891283
649861283

prune25.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New58260
Fresh213
Picked011
Done033
Total60767
Error
0.0b
Counts
67 → 7
Compiler

Compiled 384 to 128 computations (66.7% saved)

regimes599.0ms (15.1%)

Accuracy

Total 0.9b remaining (98.4%)

Threshold costs 0.9b (98.4%)

Compiler

Compiled 6725 to 4867 computations (27.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64 +-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64 neg-sub0_binary64
not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 unsub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01537
12037
22537
32737
42837
52837

end1.0ms (0%)

Compiler

Compiled 23 to 14 computations (39.1% saved)

sample912.0ms (23%)

Algorithm
intervals
Results
267.0ms8000×body128valid
64.0ms2086×body128invalid
Compiler

Compiled 172 to 131 computations (23.8% saved)

Profiling

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