Details

Time bar (total: 8.4s)

analyze1.5s

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
1.2%98.5%0.3%13
1.8%97.9%0.3%14

sample38.0ms

Algorithm
intervals
Results
12.0ms256×body128valid
6.0ms118×body128invalid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
093725
193725

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.0b
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
0.4b
(/.f64 (*.f64 z t) 16)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp_binary64
13×*-un-lft-identity_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-sqr-sqrt_binary64
6×add-cube-cbrt_binary64 sum-log_binary64
4×pow1_binary64 diff-log_binary64
3×flip3-+_binary64 associate-/r*_binary64 times-frac_binary64 flip-+_binary64
2×sub-neg_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 associate-+l+_binary64 distribute-lft-out--_binary64 div-exp_binary64 +-commutative_binary64 frac-sub_binary64 associate--l+_binary64
1×flip3--_binary64 cbrt-unprod_binary64 associate-+l-_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 div-inv_binary64 flip--_binary64
Counts
4 → 67
Calls
4 calls:
14.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
16.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
6.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
5.0ms
(/.f64 (*.f64 z t) 16)

series601.0ms

Counts
4 → 12
Calls
4 calls:
302.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
181.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
89.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
29.0ms
(/.f64 (*.f64 z t) 16)

simplify60.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049761747
149761747

prune79.0ms

Filtered
60 candidates to 79 candidates (-31.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New75479
Fresh000
Picked101
Done000
Total76480

Merged error: 0.0b

Counts
80 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
0.0b
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
0.0b
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp_binary64
10×*-un-lft-identity_binary64
6×sum-log_binary64
5×add-sqr-sqrt_binary64
4×diff-log_binary64
3×flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
2×sub-neg_binary64 distribute-lft-out_binary64 associate-+l+_binary64 distribute-lft-out--_binary64 +-commutative_binary64 frac-sub_binary64 associate--l+_binary64
1×flip3--_binary64 associate-+l-_binary64 difference-of-squares_binary64 flip--_binary64
Counts
3 → 46
Calls
3 calls:
12.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
9.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16)))

series569.0ms

Counts
3 → 9
Calls
3 calls:
301.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
176.0ms
(-.f64 (+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
92.0ms
(+.f64 (*.f64 x y) (*.f64 z (/.f64 t 16)))

simplify52.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051021542

prune55.0ms

Filtered
43 candidates to 55 candidates (-27.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh033
Picked011
Done000
Total55459

Merged error: 0.0b

Counts
59 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4))))
0.6b
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4)))
0.6b
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4)))
0.6b
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div_binary64
43×cbrt-prod_binary64
37×add-sqr-sqrt_binary64
35×*-un-lft-identity_binary64
26×frac-sub_binary64
16×frac-times_binary64
15×add-cube-cbrt_binary64
13×flip3-+_binary64 flip3--_binary64 flip--_binary64 flip-+_binary64
11×pow1_binary64
10×swap-sqr_binary64
9×pow1/3_binary64 distribute-lft-out--_binary64
8×associate-*r*_binary64 associate-*l*_binary64
7×difference-of-squares_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 associate-*r/_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 associate-*l/_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 123
Calls
4 calls:
27.0ms
(*.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4))))
10.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4)))
10.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4)))
12.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4)))

series2.1s

Counts
4 → 12
Calls
4 calls:
800.0ms
(*.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4))))
422.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4)))
429.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4)))
443.0ms
(cbrt.f64 (-.f64 (+.f64 (/.f64 (*.f64 z t) 16) (*.f64 x y)) (/.f64 (*.f64 a b) 4)))

simplify102.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049617439
149617439

prune286.0ms

Filtered
101 candidates to 135 candidates (-33.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done011
Total1354139

Merged error: 0.0b

Counts
139 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(/.f64 (*.f64 z t) 16)
2.1b
(+.f64 (pow.f64 (/.f64 (*.f64 z t) 16) 3) (pow.f64 (*.f64 x y) 3))
4.0b
(*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
41.9b
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z t) 16) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (/.f64 (*.f64 (*.f64 z t) (*.f64 z t)) 256) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity_binary64
18×times-frac_binary64
17×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
9×pow1_binary64
6×associate-/r*_binary64 add-log-exp_binary64 associate-/l*_binary64
5×distribute-lft-out_binary64 sum-cubes_binary64
4×cbrt-unprod_binary64 associate-*r/_binary64 associate-/r/_binary64 prod-exp_binary64
3×pow-prod-down_binary64 flip3-+_binary64 associate-*r*_binary64 cbrt-undiv_binary64 div-exp_binary64 flip-+_binary64
2×associate-/l/_binary64 sub-neg_binary64 flip3--_binary64 frac-add_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 flip--_binary64
1×distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 97
Calls
4 calls:
5.0ms
(/.f64 (*.f64 z t) 16)
15.0ms
(+.f64 (pow.f64 (/.f64 (*.f64 z t) 16) 3) (pow.f64 (*.f64 x y) 3))
10.0ms
(*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
29.0ms
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z t) 16) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (/.f64 (*.f64 (*.f64 z t) (*.f64 z t)) 256) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))))

series905.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/.f64 (*.f64 z t) 16)
386.0ms
(+.f64 (pow.f64 (/.f64 (*.f64 z t) 16) 3) (pow.f64 (*.f64 x y) 3))
147.0ms
(*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
345.0ms
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z t) 16) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (/.f64 (*.f64 (*.f64 z t) (*.f64 z t)) 256) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))))

simplify89.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
051174508

prune171.0ms

Filtered
79 candidates to 109 candidates (-38.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done022
Total1094113

Merged error: 0.0b

Counts
113 → 4

regimes209.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05625
15625

end0.0ms

sample1.2s

Algorithm
intervals
Results
412.0ms8000×body128valid
223.0ms3925×body128invalid

Profiling

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