Details

Time bar (total: 3.8s)

sample38.0ms

Algorithm
intervals
Results
18.0ms355×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0142
1242
2472
3712
4712

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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)

series59.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(fma (fma x y z) y t)

simplify57.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

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)

Merged error: 0.1b

localize7.0ms

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)))

rewrite10.0ms

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))
0.0ms
(fma (fma x y z) y t)
0.0ms
(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)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(sqrt (fma (fma x y z) y t))
52.0ms
(fma (fma x y z) y t)
54.0ms
(fma (fma x y z) y t)
55.0ms
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

simplify167.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0207441
1758374
24790357
35001357

prune192.0ms

Filtered
98 candidates to 59 candidates (60.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (sqrt (fma (fma x y z) y t))) (cbrt (sqrt (fma (fma x y z) y t))))
0.3b
(cbrt (sqrt (fma (fma x y z) y t)))
0.3b
(cbrt (sqrt (fma (fma x y z) y t)))
0.3b
(cbrt (sqrt (fma (fma x y z) y t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
44×add-sqr-sqrt
29×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
9.0ms
(* (cbrt (sqrt (fma (fma x y z) y t))) (cbrt (sqrt (fma (fma x y z) y t))))
1.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
1.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
1.0ms
(cbrt (sqrt (fma (fma x y z) y t)))

series601.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (cbrt (sqrt (fma (fma x y z) y t))) (cbrt (sqrt (fma (fma x y z) y t))))
156.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
147.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
150.0ms
(cbrt (sqrt (fma (fma x y z) y t)))

simplify140.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
02521203
18751116
243951033
350011025

prune309.0ms

Filtered
118 candidates to 79 candidates (66.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (fma (fma x y z) y t)))
0.3b
(cbrt (sqrt (fma (fma x y z) y t)))
0.3b
(cbrt (sqrt (fma (fma x y z) y t)))
0.4b
(pow (cbrt (sqrt (fma (fma x y z) y t))) 4)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×sqrt-prod
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
1.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
1.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
3.0ms
(pow (cbrt (sqrt (fma (fma x y z) y t))) 4)

series679.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
148.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
142.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
241.0ms
(pow (cbrt (sqrt (fma (fma x y z) y t))) 4)

simplify119.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0247690
1820630
23624597
35001588

prune253.0ms

Filtered
86 candidates to 63 candidates (73.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes111.0ms

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

sample524.0ms

Algorithm
intervals
Results
259.0ms11279×body80valid