Details

Time bar (total: 37.3s)

sample166.0ms

Algorithm
intervals
Results
61.0ms889×body80nan
42.0ms294×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
41866
3453
2109
139
020

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity
5×add-log-exp
4×add-sqr-sqrt add-cube-cbrt fma-udef
3×expm1-log1p-u pow1 fma-def add-cbrt-cube add-exp-log log1p-expm1-u
1×+-commutative associate-+l+ associate-+r+ sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 39
Calls
3 calls:
4.0ms
(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
0.0ms
(fma (- b 0.5) (log c) (fma (log y) x a))
0.0ms
(fma (log y) x a)

series779.0ms

Counts
3 → 9
Calls
3 calls:
568.0ms
(+ (fma i y (+ t z)) (fma (- b 0.5) (log c) (fma (log y) x a)))
124.0ms
(fma (- b 0.5) (log c) (fma (log y) x a))
87.0ms
(fma (log y) x a)

simplify2.0s

Counts
48 → 48
Iterations
IterNodes
done5000
33885
2624
1218
098

prune595.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
0.5b
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
0.5b
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
0.5b
(* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))

rewrite15.0ms

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 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:
1.0ms
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.0ms
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.0ms
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
11.0ms
(* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))

series4.1s

Counts
4 → 12
Calls
4 calls:
931.0ms
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.0s
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
965.0ms
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.1s
(* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))

simplify1.8s

Counts
93 → 93
Iterations
IterNodes
done5001
21154
1360
0147

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize172.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
0.5b
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
0.5b
(* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))
0.6b
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
22×add-sqr-sqrt
14×*-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 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:
1.0ms
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.0ms
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
11.0ms
(* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))
8.0ms
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))

series4.3s

Counts
4 → 12
Calls
4 calls:
1.0s
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.0s
(cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))
1.2s
(* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))
1.1s
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))

simplify1.7s

Counts
91 → 91
Iterations
IterNodes
done5000
21441
1457
0186

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize550.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))
0.6b
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))
0.6b
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))
0.6b
(cbrt (* (* (cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))) (cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))) (cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))))

rewrite55.0ms

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 log1p-expm1-u add-log-exp
1×pow3 rem-cbrt-cube
Counts
4 → 45
Calls
4 calls:
4.0ms
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))
8.0ms
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))
8.0ms
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))
33.0ms
(cbrt (* (* (cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))) (cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))) (cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))))

series4.7s

Counts
4 → 12
Calls
4 calls:
1.2s
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))
1.2s
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))
1.1s
(cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))
1.2s
(cbrt (* (* (cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))))) (cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))) (cbrt (* (cbrt (fma (- b 0.5) (log c) (fma (log y) x a))) (cbrt (fma (- b 0.5) (log c) (fma (log y) x a)))))))

simplify1.4s

Counts
57 → 57
Iterations
IterNodes
done5001
31655
2484
1193
092

prune873.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes1.7s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
017

end0.0ms

sample8.2s

Algorithm
intervals
Results
4.5s27281×body80nan
1.4s9209×body80valid
1.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid