Details

Time bar (total: 9.0s)

analyze2.3s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample91.0ms

Algorithm
intervals
Results
26.0ms323×body80invalid
25.0ms256×body80valid

simplify389.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (386.0ms)

IterNodesCost
0495529
1495529

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 12.3b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 y z) (*.f64 t a))
4.5b
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
5.8b
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
6.7b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
9×associate-*r*_binary64 associate-*l*_binary64
7×sub-neg_binary64
6×add-log-exp_binary64 associate-*r/_binary64
4×flip3--_binary64 flip--_binary64
3×pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
1×diff-log_binary64
Counts
4 → 77
Calls
4 calls:
4.0ms
(-.f64 (*.f64 y z) (*.f64 t a))
7.0ms
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
7.0ms
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(-.f64 (*.f64 y z) (*.f64 t a))
24.0ms
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
21.0ms
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
21.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04926937
14926937

prune230.0ms

Filtered
65 candidates to 89 candidates (-36.9%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New692089
Fresh000
Picked101
Done000
Total702090

Merged error: 8.8b

Counts
90 → 20

localize25.0ms

Local error

Found 4 expressions with local error:

3.0b
(*.f64 (-.f64 (*.f64 c t) (*.f64 i y)) (cbrt.f64 j))
3.0b
(*.f64 (*.f64 (cbrt.f64 j) (cbrt.f64 j)) (*.f64 (-.f64 (*.f64 c t) (*.f64 i y)) (cbrt.f64 j)))
4.5b
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
6.7b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1_binary64 add-exp-log_binary64
19×add-sqr-sqrt_binary64
15×add-cbrt-cube_binary64
13×associate-*r*_binary64
11×pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64
10×associate-*l*_binary64
6×associate-*r/_binary64
4×add-log-exp_binary64 sub-neg_binary64 flip3--_binary64 unswap-sqr_binary64 flip--_binary64 cbrt-prod_binary64 associate-*l/_binary64 *-commutative_binary64
2×distribute-lft-in_binary64 distribute-rgt-in_binary64
Counts
4 → 92
Calls
4 calls:
9.0ms
(*.f64 (-.f64 (*.f64 c t) (*.f64 i y)) (cbrt.f64 j))
13.0ms
(*.f64 (*.f64 (cbrt.f64 j) (cbrt.f64 j)) (*.f64 (-.f64 (*.f64 c t) (*.f64 i y)) (cbrt.f64 j)))
7.0ms
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

series117.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(*.f64 (-.f64 (*.f64 c t) (*.f64 i y)) (cbrt.f64 j))
27.0ms
(*.f64 (*.f64 (cbrt.f64 j) (cbrt.f64 j)) (*.f64 (-.f64 (*.f64 c t) (*.f64 i y)) (cbrt.f64 j)))
21.0ms
(*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))
22.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

simplify31.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
054591125

prune207.0ms

Filtered
71 candidates to 104 candidates (-46.5%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New1013104
Fresh11819
Picked101
Done000
Total10321124

Merged error: 8.8b

Counts
124 → 21

localize28.0ms

Local error

Found 4 expressions with local error:

5.8b
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
8.2b
(cbrt.f64 (-.f64 (*.f64 c z) (*.f64 i a)))
8.2b
(cbrt.f64 (-.f64 (*.f64 c z) (*.f64 i a)))
8.2b
(cbrt.f64 (-.f64 (*.f64 c z) (*.f64 i a)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 cbrt-prod_binary64
6×cbrt-div_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 flip3--_binary64 flip--_binary64
3×associate-*r*_binary64 pow1/3_binary64 associate-*l*_binary64
2×sub-neg_binary64 associate-*r/_binary64
1×pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
4 → 61
Calls
4 calls:
7.0ms
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
4.0ms
(cbrt.f64 (-.f64 (*.f64 c z) (*.f64 i a)))
4.0ms
(cbrt.f64 (-.f64 (*.f64 c z) (*.f64 i a)))
4.0ms
(cbrt.f64 (-.f64 (*.f64 c z) (*.f64 i a)))

series144.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))
39.0ms
(cbrt.f64 (-.f64 (*.f64 c z) (*.f64 i a)))
43.0ms
(cbrt.f64 (-.f64 (*.f64 c z) (*.f64 i a)))
40.0ms
(cbrt.f64 (-.f64 (*.f64 c z) (*.f64 i a)))

simplify43.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04978897
14978897

prune205.0ms

Filtered
62 candidates to 73 candidates (-17.7%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New70373
Fresh21820
Picked101
Done000
Total732194

Merged error: 8.8b

Counts
94 → 21

localize26.0ms

Local error

Found 4 expressions with local error:

6.0b
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
6.0b
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
6.0b
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
6.7b
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 cbrt-prod_binary64
6×cbrt-div_binary64 pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 flip3--_binary64 flip--_binary64
3×associate-*r*_binary64 pow1/3_binary64 associate-*l*_binary64
2×sub-neg_binary64 associate-*r/_binary64
1×pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
4 → 61
Calls
4 calls:
5.0ms
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
4.0ms
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
4.0ms
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
7.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

series144.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
39.0ms
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
40.0ms
(cbrt.f64 (-.f64 (*.f64 z y) (*.f64 a t)))
24.0ms
(*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04950897
14950897

prune77.0ms

Filtered
62 candidates to 73 candidates (-17.7%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New72173
Fresh11920
Picked101
Done000
Total742094

Merged error: 8.8b

Counts
94 → 20

regimes1.9s

Accuracy

0% (4.0b remaining)

Error of 12.0b against oracle of 8.1b and baseline of 12.0b

bsearch0.0ms

simplify12.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
047448
147448

end0.0ms

sample2.6s

Algorithm
intervals
Results
949.0ms11342×body80invalid
669.0ms8000×body80valid

Profiling

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