Details

Time bar (total: 29.9s)

sample117.0ms

Algorithm
intervals
Results
18.0ms337×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune62.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
4.0ms
(fma (* y z) z x)

series86.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(fma (* y z) z x)

simplify11.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
019104
131102
29390
342990
4359090
done500090

prune95.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (* y z) z x))
0.1b
(fma (* y z) z x)
0.1b
(fma (* y z) z x)
0.3b
(* (sqrt (fma (* y z) z x)) (sqrt (fma (* y z) z x)))

rewrite34.0ms

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:
3.0ms
(sqrt (fma (* y z) z x))
1.0ms
(fma (* y z) z x)
1.0ms
(fma (* y z) z x)
25.0ms
(* (sqrt (fma (* y z) z x)) (sqrt (fma (* y z) z x)))

series643.0ms

Counts
4 → 12
Calls
4 calls:
416.0ms
(sqrt (fma (* y z) z x))
72.0ms
(fma (* y z) z x)
66.0ms
(fma (* y z) z x)
89.0ms
(* (sqrt (fma (* y z) z x)) (sqrt (fma (* y z) z x)))

simplify1.5s

Counts
98 → 98
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0791354
1177910
2937806
done5000783

prune612.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))

rewrite44.0ms

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:
35.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))

series1.3s

Counts
4 → 12
Calls
4 calls:
325.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
320.0ms
(cbrt (fma (* y z) z x))
321.0ms
(cbrt (fma (* y z) z x))
318.0ms
(cbrt (fma (* y z) z x))

simplify7.2s

Counts
93 → 93
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
0991437
12401321
28161215
344721068
done50001068

prune896.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (sqrt (fma (* y z) z x)) (fabs (cbrt (fma (* y z) z x)))) (sqrt (cbrt (fma (* y z) z x))))
0.2b
(* (sqrt (fma (* y z) z x)) (fabs (cbrt (fma (* y z) z x))))
0.6b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (fma (* y z) z x))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×sqrt-prod
9×cbrt-prod
7×associate-*l*
4×expm1-log1p-u 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:
59.0ms
(* (* (sqrt (fma (* y z) z x)) (fabs (cbrt (fma (* y z) z x)))) (sqrt (cbrt (fma (* y z) z x))))
19.0ms
(* (sqrt (fma (* y z) z x)) (fabs (cbrt (fma (* y z) z x))))
2.0ms
(cbrt (fma (* y z) z x))
2.0ms
(cbrt (fma (* y z) z x))

series1.4s

Counts
4 → 12
Calls
4 calls:
365.0ms
(* (* (sqrt (fma (* y z) z x)) (fabs (cbrt (fma (* y z) z x)))) (sqrt (cbrt (fma (* y z) z x))))
451.0ms
(* (sqrt (fma (* y z) z x)) (fabs (cbrt (fma (* y z) z x))))
292.0ms
(cbrt (fma (* y z) z x))
296.0ms
(cbrt (fma (* y z) z x))

simplify1.6s

Counts
88 → 88
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01561902
13901798
217861577
done50001546

prune745.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes299.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample1.3s

Algorithm
intervals
Results
589.0ms10729×body80valid