Details

Time bar (total: 13.9s)

sample33.0ms

Algorithm
intervals
Results
13.0ms230×body80valid
3.0ms10×body1280valid
2.0ms8×body640valid
1.0ms5×body320valid
1.0ms2×body2560valid
0.0ms1×body160valid

simplify294.0ms

Counts
1 → 1
Iterations
IterNodes
done299
6299
5297
4260
3147
253
120
08

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2 y (fma 3 x z))
0.1b
(fma 3 x z)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 22
Calls
2 calls:
0.0ms
(fma 2 y (fma 3 x z))
0.0ms
(fma 3 x z)

series89.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(fma 2 y (fma 3 x z))
46.0ms
(fma 3 x z)

simplify2.7s

Counts
28 → 28
Iterations
IterNodes
done5004
42065
3402
2106
145
032

prune156.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2 y (+ (* 3 x) z))
0.0b
(+ (* 3 x) z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×add-log-exp
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ flip-+ fma-udef
Counts
2 → 26
Calls
2 calls:
0.0ms
(fma 2 y (+ (* 3 x) z))
14.0ms
(+ (* 3 x) z)

series67.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(fma 2 y (+ (* 3 x) z))
42.0ms
(+ (* 3 x) z)

simplify1.8s

Counts
32 → 32
Iterations
IterNodes
done5001
31085
2301
1112
044

prune132.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
0.5b
(cbrt (fma 3 x z))
0.5b
(cbrt (fma 3 x z))
0.5b
(cbrt (fma 3 x z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 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 → 85
Calls
4 calls:
21.0ms
(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
1.0ms
(cbrt (fma 3 x z))
1.0ms
(cbrt (fma 3 x z))
1.0ms
(cbrt (fma 3 x z))

series1.0s

Counts
4 → 12
Calls
4 calls:
305.0ms
(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
229.0ms
(cbrt (fma 3 x z))
239.0ms
(cbrt (fma 3 x z))
247.0ms
(cbrt (fma 3 x z))

simplify2.8s

Counts
97 → 97
Iterations
IterNodes
done5000
44828
31490
2554
1227
0103

prune542.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma 3 x z))
0.5b
(cbrt (fma 3 x z))
0.6b
(cbrt (cbrt (fma 3 x z)))
0.6b
(cbrt (* (cbrt (fma 3 x z)) (cbrt (fma 3 x z))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt (fma 3 x z))
1.0ms
(cbrt (fma 3 x z))
1.0ms
(cbrt (cbrt (fma 3 x z)))
4.0ms
(cbrt (* (cbrt (fma 3 x z)) (cbrt (fma 3 x z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (fma 3 x z))
219.0ms
(cbrt (fma 3 x z))
264.0ms
(cbrt (cbrt (fma 3 x z)))
296.0ms
(cbrt (* (cbrt (fma 3 x z)) (cbrt (fma 3 x z))))

simplify1.8s

Counts
69 → 69
Iterations
IterNodes
done5003
32083
2645
1244
0121

prune474.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
07

end0.0ms

sample718.0ms

Algorithm
intervals
Results
400.0ms7366×body80valid
72.0ms197×body1280valid
33.0ms222×body640valid
13.0ms112×body320valid
8.0ms38×body2560valid
6.0ms76×body160valid