Details

Time bar (total: 4.8s)

sample30.0ms

Algorithm
intervals
Results
18.0ms361×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0142
1242
2472
3712
4712

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

series52.0ms

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

simplify57.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03947
19138
236638
3188738
4500138

prune35.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (fma x y z) y t))
0.0b
(fma (fma x y z) y t)
0.0b
(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)))

rewrite11.0ms

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)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
334.0ms
(sqrt (fma (fma x y z) y t))
58.0ms
(fma (fma x y z) y t)
53.0ms
(fma (fma x y z) y t)
56.0ms
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

simplify168.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0207441
1758374
24790357
35001357

prune210.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
91×sqrt-pow1 sqrt-prod
69×pow1
60×add-sqr-sqrt
47×pow1/2
39×pow-prod-up
22×add-cube-cbrt *-un-lft-identity
17×swap-sqr
15×associate-*l*
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube unswap-sqr
10×associate-*r*
4×expm1-log1p-u rem-sqrt-square prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 167
Calls
4 calls:
1.0ms
(sqrt (sqrt (fma (fma x y z) y t)))
1.0ms
(sqrt (sqrt (fma (fma x y z) y t)))
26.0ms
(* (sqrt (fma (fma x y z) y t)) (* (sqrt (sqrt (fma (fma x y z) y t))) (sqrt (sqrt (fma (fma x y z) y t)))))
12.0ms
(* (sqrt (sqrt (fma (fma x y z) y t))) (sqrt (sqrt (fma (fma x y z) y t))))

series668.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(sqrt (sqrt (fma (fma x y z) y t)))
146.0ms
(sqrt (sqrt (fma (fma x y z) y t)))
57.0ms
(* (sqrt (fma (fma x y z) y t)) (* (sqrt (sqrt (fma (fma x y z) y t))) (sqrt (sqrt (fma (fma x y z) y t)))))
311.0ms
(* (sqrt (sqrt (fma (fma x y z) y t))) (sqrt (sqrt (fma (fma x y z) y t))))

simplify61.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04301008
11623861
25002829

prune329.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
18×pow1 add-exp-log cbrt-prod add-cbrt-cube
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 *-commutative
Counts
4 → 87
Calls
4 calls:
20.0ms
(* (* (fabs (cbrt (sqrt (fma (fma x y z) y t)))) (sqrt (sqrt (fma (fma x y z) y t)))) (sqrt (cbrt (sqrt (fma (fma x y z) y t)))))
46.0ms
(* (sqrt (fma (fma x y z) y t)) (* (* (fabs (cbrt (sqrt (fma (fma x y z) y t)))) (sqrt (sqrt (fma (fma x y z) y t)))) (sqrt (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)))

series1.1s

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (* (fabs (cbrt (sqrt (fma (fma x y z) y t)))) (sqrt (sqrt (fma (fma x y z) y t)))) (sqrt (cbrt (sqrt (fma (fma x y z) y t)))))
577.0ms
(* (sqrt (fma (fma x y z) y t)) (* (* (fabs (cbrt (sqrt (fma (fma x y z) y t)))) (sqrt (sqrt (fma (fma x y z) y t)))) (sqrt (cbrt (sqrt (fma (fma x y z) y t))))))
155.0ms
(cbrt (sqrt (fma (fma x y z) y t)))
148.0ms
(cbrt (sqrt (fma (fma x y z) y t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04801587
119111373
250011333

prune379.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes84.0ms

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

sample831.0ms

Algorithm
intervals
Results
554.0ms11294×body80valid