Details

Time bar (total: 7.0s)

analyze1.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
3.1%96.6%0.3%14

sample32.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
4.0ms122×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02411
12411

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp_binary64
4×sum-log_binary64
2×flip3-+_binary64 *-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64
1×associate-+l+_binary64
Counts
2 → 24
Calls
2 calls:
5.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
7.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))

series33.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
22.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))

simplify51.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05019369

prune24.0ms

Filtered
23 candidates to 30 candidates (-30.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New28230
Fresh000
Picked011
Done000
Total28331

Merged error: 0.0b

Counts
31 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) (cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))))
0.6b
(cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))
0.6b
(cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))
0.6b
(cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
9×flip3-+_binary64 pow1/3_binary64 flip-+_binary64
6×swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 87
Calls
4 calls:
16.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) (cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))))
6.0ms
(cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))
6.0ms
(cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))
7.0ms
(cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))

series266.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) (cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))))
55.0ms
(cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))
54.0ms
(cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))
56.0ms
(cbrt.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))

simplify39.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050752111

prune57.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0.0b

Counts
102 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

3.7b
(-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))))
14.5b
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))))) (cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))))) (*.f64 (cbrt.f64 (-.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) (cbrt.f64 (-.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))))
29.3b
(cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))))
29.3b
(cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div_binary64
16×add-exp-log_binary64
15×flip3--_binary64 flip--_binary64
8×associate-/l/_binary64 add-cbrt-cube_binary64 associate-/r/_binary64 frac-times_binary64 cbrt-prod_binary64
6×*-un-lft-identity_binary64 add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×pow1_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 prod-exp_binary64 div-exp_binary64 associate-*l/_binary64
3×difference-of-squares_binary64
2×associate--r+_binary64 pow1/3_binary64
1×associate-/r*_binary64 sub-neg_binary64 diff-log_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64
Counts
4 → 79
Calls
4 calls:
8.0ms
(-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))))
38.0ms
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))))) (cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))))) (*.f64 (cbrt.f64 (-.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) (cbrt.f64 (-.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))))
8.0ms
(cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))))
8.0ms
(cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
186.0ms
(-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))))
1.2s
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t))))) (cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))))) (*.f64 (cbrt.f64 (-.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) (cbrt.f64 (-.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))))
88.0ms
(cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))))
90.0ms
(cbrt.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (+.f64 (*.f64 x y) (*.f64 z t)))))

simplify38.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050083570

prune69.0ms

Filtered
77 candidates to 91 candidates (-18.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done022
Total91495

Merged error: 0.0b

Counts
95 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
0.0b
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))
0.2b
(pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3)
38.4b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
11×add-log-exp_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×unpow-prod-down_binary64 cube-prod_binary64
5×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×flip3-+_binary64 cube-div_binary64 flip-+_binary64 sum-log_binary64
3×pow-unpow_binary64
2×cbrt-div_binary64 sqr-pow_binary64 +-commutative_binary64 unpow3_binary64 cube-mult_binary64
1×pow-to-exp_binary64 rem-cbrt-cube_binary64 pow1/3_binary64 pow-pow_binary64 rem-cube-cbrt_binary64 associate-+r+_binary64 pow-exp_binary64
Counts
4 → 72
Calls
4 calls:
5.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
8.0ms
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))
8.0ms
(pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3)
8.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3))

series1.8s

Counts
4 → 12
Calls
4 calls:
12.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
22.0ms
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))
1.8s
(pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3)
24.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3))

simplify62.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
051021292

prune38.0ms

Filtered
53 candidates to 84 candidates (-58.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done033
Total84488

Merged error: 0.0b

Counts
88 → 4

regimes642.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01611
11611

end0.0ms

sample888.0ms

Algorithm
intervals
Results
311.0ms8000×body80valid
154.0ms3961×body80invalid

Profiling

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