Details

Time bar (total: 1.5s)

analyze9.0ms (0.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 8 to 8 computations (0% saved)

sample219.0ms (14.2%)

Algorithm
1×intervals
Results
203.0ms256×pre128true
2.0ms256×body128valid
Compiler

Compiled 51 to 43 computations (15.7% saved)

simplify162.0ms (10.5%)

Algorithm
1×egg-herbie
Rules
433×cancel-sign-sub-inv_binary64
376×distribute-rgt-neg-in_binary64
283×distribute-lft-neg-in_binary64
272×*-commutative_binary64
271×+-commutative_binary64
257×sub-neg_binary64
250×associate--r+_binary64
232×distribute-rgt-in_binary64
218×associate-*l*_binary64
216×unswap-sqr_binary64
181×associate-*r*_binary64
171×neg-sub0_binary64
170×distribute-lft-in_binary64
164×neg-mul-1_binary64
156×distribute-lft-neg-out_binary64
153×unsub-neg_binary64
149×associate-+l+_binary64
135×associate-+r+_binary64
127×distribute-rgt-neg-out_binary64
116×distribute-neg-in_binary64
108×associate-/l/_binary64
89×associate--r-_binary64
78×distribute-neg-out_binary64
75×associate--l-_binary64
74×associate-+l-_binary64
70×associate-/l*_binary64
62×sqr-pow_binary64
57×remove-double-neg_binary64 associate--l+_binary64
55×associate-+r-_binary64
45×pow-sqr_binary64 associate-*r/_binary64
43×sub0-neg_binary64 cancel-sign-sub_binary64
32×+-rgt-identity_binary64
27×times-frac_binary64
24×mul0-rgt_binary64 mul0-lft_binary64
22×distribute-rgt-out_binary64
18×associate-/r/_binary64
16×swap-sqr_binary64
15×associate-*l/_binary64
14×distribute-rgt-out--_binary64
12×cube-unmult_binary64 /-rgt-identity_binary64
8×associate-/r*_binary64
7×--rgt-identity_binary64
6×pow-plus_binary64
5×distribute-lft-out_binary64
3×cube-prod_binary64 distribute-lft-out--_binary64
1×1-exp_binary64 sqr-neg_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 *-inverses_binary64 count-2_binary64
0×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 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-mult_binary64 cube-div_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 div-sub_binary64 mul-1-neg_binary64 +-lft-identity_binary64 div0_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
1 → 5
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03164
17864
221364
354864
4154464
5283764

prune13.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New505
Fresh011
Picked000
Done000
Total516
Error
58.1b
Counts
6 → 1
Compiler

Compiled 258 to 187 computations (27.5% saved)

localize33.0ms (2.1%)

Local error

Found 4 expressions with local error:

1.0b
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6))
1.0b
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
1.0b
(*.f64 11/2 (pow.f64 y 8))
62.0b
(+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))

rewrite306.0ms (19.9%)

Algorithm
1×rewrite-expression-head
Error
58.1b
Rules
20×add-log-exp_binary64
14×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64
9×sum-log_binary64 add-exp-log_binary64 add-cube-cbrt_binary64
7×unpow-prod-down_binary64 associate-*r*_binary64 cancel-sign-sub-inv_binary64
6×add-cbrt-cube_binary64
4×pow1_binary64
3×flip3-+_binary64 flip-+_binary64 prod-exp_binary64 unswap-sqr_binary64 sqr-pow_binary64 associate-*l*_binary64
2×associate-+l+_binary64 +-commutative_binary64 frac-add_binary64
1×pow-to-exp_binary64 pow-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64 distribute-lft-out_binary64 diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64
Counts
4 → 73
Calls

4 calls:

23.0ms
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
18.0ms
(+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))
11.0ms
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6))
5.0ms
(*.f64 11/2 (pow.f64 y 8))
Compiler

Compiled 4742 to 3369 computations (29% saved)

series517.0ms (33.7%)

Error
57.1b
Counts
4 → 30
Calls

4 calls:

162.0ms
(+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8)))
156.0ms
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6))
109.0ms
(+.f64 (+.f64 (+.f64 (*.f64 1335/4 (pow.f64 y 6)) (*.f64 (*.f64 x x) (-.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 11 x) x) y) y) (pow.f64 y 6)) (*.f64 121 (pow.f64 y 4))) 2))) (*.f64 11/2 (pow.f64 y 8))) (/.f64 x (*.f64 2 y)))
48.0ms
(*.f64 11/2 (pow.f64 y 8))
Compiler

Compiled 2365 to 1892 computations (20% saved)

simplify277.0ms (18%)

Algorithm
1×egg-herbie
Rules
778×distribute-rgt-in_binary64
312×cancel-sign-sub-inv_binary64
225×unswap-sqr_binary64
158×associate-*l*_binary64 associate-*r*_binary64
129×sqr-pow_binary64
118×distribute-rgt-neg-in_binary64
114×*-commutative_binary64
103×sub-neg_binary64
97×distribute-lft-neg-in_binary64
92×exp-prod_binary64
73×distribute-lft-in_binary64
70×cube-prod_binary64
62×swap-sqr_binary64
59×pow-sqr_binary64
56×neg-mul-1_binary64
53×neg-sub0_binary64
47×times-frac_binary64
44×+-commutative_binary64
43×distribute-lft-neg-out_binary64 distribute-rgt-out_binary64
35×associate-+l+_binary64
34×distribute-neg-in_binary64
30×distribute-lft-out_binary64
22×unpow3_binary64
21×distribute-neg-frac_binary64
18×cube-mult_binary64 unsub-neg_binary64 associate-*r/_binary64 associate--r+_binary64
17×associate-*l/_binary64
16×associate--l+_binary64 associate-+r+_binary64
15×exp-sum_binary64 distribute-rgt-neg-out_binary64
13×prod-exp_binary64
12×distribute-rgt-out--_binary64
9×difference-of-squares_binary64
8×exp-diff_binary64 cube-unmult_binary64 associate-/r*_binary64
7×log-prod_binary64
6×pow-plus_binary64 pow-base-1_binary64 div-sub_binary64
5×associate-+l-_binary64
4×log-pow_binary64 cube-div_binary64 associate-/l*_binary64 associate--l-_binary64
3×rem-sqrt-square_binary64 *-rgt-identity_binary64 distribute-lft-out--_binary64 associate-+r-_binary64
2×unpow2_binary64 unpow1_binary64 *-lft-identity_binary64 distribute-neg-out_binary64 associate-/l/_binary64
1×exp-sqrt_binary64 div-exp_binary64 1-exp_binary64 rem-3cbrt-lft_binary64 rem-square-sqrt_binary64 +-rgt-identity_binary64 *-inverses_binary64 cancel-sign-sub_binary64
0×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 log-div_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow1/2_binary64 exp-to-pow_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_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-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_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-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate-/r/_binary64 associate--r-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01974258
15304055
219043782

end0.0ms (0%)

Profiling

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