Details

Time bar (total: 8.1s)

sample38.0ms

Algorithm
intervals
Results
23.0ms354×body80valid

simplify34.0ms

Counts
1 → 1
Iterations
IterNodes
done71
471
349
224
114
08

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×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
1 → 11
Calls
1 calls:
0.0ms
(fma y (fma y x z) t)

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(fma y (fma y x z) t)

simplify813.0ms

Counts
14 → 14
Iterations
IterNodes
done2000
41862
3366
289
141
024

prune59.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y (fma y x z)) t)
0.1b
(* y (fma y x z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in expm1-log1p-u associate-+l+ distribute-lft-in insert-posit16 log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 40
Calls
2 calls:
11.0ms
(+ (* y (fma y x z)) t)
9.0ms
(* y (fma y x z))

series111.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* y (fma y x z)) t)
44.0ms
(* y (fma y x z))

simplify840.0ms

Counts
46 → 46
Iterations
IterNodes
done2000
31858
2477
1174
073

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (fma y x z))) (cbrt (* y (fma y x z))))
7.8b
(cbrt (* y (fma y x z)))
7.8b
(cbrt (* y (fma y x z)))
7.8b
(cbrt (* y (fma y x z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 70
Calls
4 calls:
18.0ms
(* (cbrt (* y (fma y x z))) (cbrt (* y (fma y x z))))
3.0ms
(cbrt (* y (fma y x z)))
3.0ms
(cbrt (* y (fma y x z)))
4.0ms
(cbrt (* y (fma y x z)))

series776.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (cbrt (* y (fma y x z))) (cbrt (* y (fma y x z))))
162.0ms
(cbrt (* y (fma y x z)))
185.0ms
(cbrt (* y (fma y x z)))
197.0ms
(cbrt (* y (fma y x z)))

simplify678.0ms

Counts
82 → 82
Iterations
IterNodes
done2000
31477
2527
1225
092

prune464.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma y x z))
0.6b
(cbrt y)
7.8b
(cbrt (* y (fma y x z)))
7.8b
(cbrt (* y (fma y x z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×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 → 52
Calls
4 calls:
1.0ms
(cbrt (fma y x z))
1.0ms
(cbrt y)
3.0ms
(cbrt (* y (fma y x z)))
3.0ms
(cbrt (* y (fma y x z)))

series869.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (fma y x z))
310.0ms
(cbrt y)
215.0ms
(cbrt (* y (fma y x z)))
182.0ms
(cbrt (* y (fma y x z)))

simplify632.0ms

Counts
64 → 64
Iterations
IterNodes
done2000
31180
2410
1189
092

prune433.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes335.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample1.6s

Algorithm
intervals
Results
860.0ms11204×body80valid