Details

Time bar (total: 36.2s)

sample310.0ms

Algorithm
intervals
Results
155.0ms895×body80nan
51.0ms291×body80valid

simplify4.6s

Counts
1 → 1
Iterations
IterNodes
done5001
53746
41256
3332
2107
139
020

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
0.1b
(fma (- b 0.5) (log c) (fma y i a))
0.1b
(fma (log y) x z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×expm1-log1p-u pow1 sum-log fma-def add-cbrt-cube add-exp-log fma-udef insert-posit16 log1p-expm1-u distribute-lft-out
1×+-commutative associate-+l+ associate-+r+ flip3-+ flip-+
Counts
3 → 44
Calls
3 calls:
16.0ms
(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
1.0ms
(fma (- b 0.5) (log c) (fma y i a))
1.0ms
(fma (log y) x z)

series1.5s

Counts
3 → 9
Calls
3 calls:
1.2s
(+ (fma (- b 0.5) (log c) (fma y i a)) (+ (fma (log y) x z) t))
186.0ms
(fma (- b 0.5) (log c) (fma y i a))
137.0ms
(fma (log y) x z)

simplify2.9s

Counts
53 → 53
Iterations
IterNodes
done5000
34423
2762
1222
0100

prune568.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:
1.0ms
(cbrt (fma (log y) x z))
1.0ms
(cbrt (fma (log y) x z))
1.0ms
(cbrt (fma (log y) x z))
8.0ms
(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt (fma (log y) x z))
225.0ms
(cbrt (fma (log y) x z))
214.0ms
(cbrt (fma (log y) x z))
434.0ms
(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))

simplify2.2s

Counts
97 → 97
Iterations
IterNodes
done5000
32638
2783
1285
0119

prune949.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
19×cbrt-prod
12×*-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 → 79
Calls
4 calls:
16.0ms
(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))
8.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))
8.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))
8.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))

series1.7s

Counts
4 → 12
Calls
4 calls:
444.0ms
(* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z)))
407.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))
435.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))
447.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))

simplify2.6s

Counts
91 → 91
Iterations
IterNodes
done5003
32660
2795
1283
0121

prune962.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
4×cbrt-prod add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube pow1/3 add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
4.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))
4.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))
4.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))
4.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))

series1.7s

Counts
4 → 12
Calls
4 calls:
488.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))
385.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))
378.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))
476.0ms
(cbrt (* (cbrt (fma (log y) x z)) (cbrt (fma (log y) x z))))

simplify2.1s

Counts
60 → 60
Iterations
IterNodes
done5000
31434
2407
1145
066

prune834.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes1.4s

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done23
123
020

end0.0ms

sample10.4s

Algorithm
intervals
Results
5.8s27506×body80nan
2.2s9202×body80valid
2.0ms2×body640valid
1.0ms2×body320valid