Details

Time bar (total: 4.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms343×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0142
1242
2472
3712
4712

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (fma x y z) y t)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (fma x y z) y t)

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(fma (fma x y z) y t)

simplify60.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03947
19138
236638
3188738
4500138

prune33.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New12113
Fresh000
Picked011
Done000
Total12214

Merged error: 0.1b

Counts
14 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (fma x y z) y t))
0.1b
(fma (fma x y z) y t)
0.1b
(fma (fma x y z) y t)
0.2b
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (fma (fma x y z) y t))
1.0ms
(fma (fma x y z) y t)
1.0ms
(fma (fma x y z) y t)
7.0ms
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

series498.0ms

Counts
4 → 12
Calls
4 calls:
331.0ms
(sqrt (fma (fma x y z) y t))
57.0ms
(fma (fma x y z) y t)
51.0ms
(fma (fma x y z) y t)
58.0ms
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

simplify171.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0207441
1758374
24790357
35001357

prune186.0ms

Filtered
98 candidates to 59 candidates (60.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New95398
Fresh000
Picked011
Done011
Total955100

Merged error: 0.0b

Counts
100 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (fma (fma x y z) y t))) (sqrt (cbrt (fma (fma x y z) y t))))
0.2b
(* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (fma (fma x y z) y t)))
0.5b
(cbrt (fma (fma x y z) y t))
0.5b
(cbrt (fma (fma x y z) y t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×sqrt-prod
9×cbrt-prod
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 76
Calls
4 calls:
7.0ms
(* (* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (fma (fma x y z) y t))) (sqrt (cbrt (fma (fma x y z) y t))))
5.0ms
(* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (fma (fma x y z) y t)))
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))

series911.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (fma (fma x y z) y t))) (sqrt (cbrt (fma (fma x y z) y t))))
377.0ms
(* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (fma (fma x y z) y t)))
147.0ms
(cbrt (fma (fma x y z) y t))
144.0ms
(cbrt (fma (fma x y z) y t))

simplify58.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04531007
11910896
25001878

prune281.0ms

Filtered
88 candidates to 68 candidates (77.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New87188
Fresh022
Picked101
Done022
Total88593

Merged error: 0.0b

Counts
93 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
0.5b
(cbrt (fma (fma x y z) y t))
0.5b
(cbrt (fma (fma x y z) y t))
0.5b
(cbrt (fma (fma x y z) y t))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))

series621.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
150.0ms
(cbrt (fma (fma x y z) y t))
153.0ms
(cbrt (fma (fma x y z) y t))
144.0ms
(cbrt (fma (fma x y z) y t))

simplify170.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0246698
1931634
24917570
35001570

prune270.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done022
Total93598

Merged error: 0.0b

Counts
98 → 5

regimes108.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062

end0.0ms

sample546.0ms

Algorithm
intervals
Results
272.0ms11285×body80valid

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