Details

Time bar (total: 17.2s)

sample42.0ms

Algorithm
intervals
Results
23.0ms336×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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:
1.0ms
(fma (/ y z) y x)

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(fma (/ y z) y x)

simplify3.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
019110
127107
26095
316995
453795
5207495
done500195

prune50.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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:
13.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series593.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
181.0ms
(cbrt (fma (/ y z) y x))
128.0ms
(cbrt (fma (/ y z) y x))
138.0ms
(cbrt (fma (/ y z) y x))

simplify3.0s

Counts
93 → 93
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0851375
11561271
23891169
310121013
42892987
done5000922

prune370.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series561.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(cbrt (fma (/ y z) y x))
156.0ms
(cbrt (fma (/ y z) y x))
124.0ms
(cbrt (fma (/ y z) y x))
164.0ms
(cbrt (fma (/ y z) y x))

simplify4.1s

Counts
64 → 64
Iterations

Useful iterations: 5 (2.2s)

IterNodesCost
042716
175700
2155644
3414612
41129596
53104564
done5000564

prune265.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series490.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (fma (/ y z) y x))
125.0ms
(cbrt (fma (/ y z) y x))
111.0ms
(cbrt (fma (/ y z) y x))
123.0ms
(cbrt (fma (/ y z) y x))

simplify2.8s

Counts
64 → 64
Iterations

Useful iterations: 5 (1.5s)

IterNodesCost
042716
175700
2155644
3414612
41129596
53104564
done5000564

prune206.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
done56

end0.0ms

sample667.0ms

Algorithm
intervals
Results
381.0ms10622×body80valid