Details

Time bar (total: 19.5s)

sample85.0ms

Algorithm
intervals
Results
39.0ms440×body80valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
015288
127263
260213
3110213
4137213
5139213
done139213

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma a b (fma x y (* z t)))
0.0b
(fma i c (fma a b (fma x y (* z t))))
0.0b
(fma x y (* z t))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
3 → 30
Calls
3 calls:
0.0ms
(fma a b (fma x y (* z t)))
0.0ms
(fma i c (fma a b (fma x y (* z t))))
1.0ms
(fma x y (* z t))

series564.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(fma a b (fma x y (* z t)))
396.0ms
(fma i c (fma a b (fma x y (* z t))))
57.0ms
(fma x y (* z t))

simplify1.6s

Counts
39 → 39
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0467393
1617143
21497143
37307143
done50027143

prune391.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:
9.0ms
(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
1.0ms
(cbrt (fma x y (* z t)))
1.0ms
(cbrt (fma x y (* z t)))
1.0ms
(cbrt (fma x y (* z t)))

series689.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
167.0ms
(cbrt (fma x y (* z t)))
162.0ms
(cbrt (fma x y (* z t)))
161.0ms
(cbrt (fma x y (* z t)))

simplify2.2s

Counts
93 → 93
Iterations

Useful iterations: done (2.1s)

IterNodesCost
010429002
125627479
262827290
3154326367
done500026007

prune778.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt (fma x y (* z t)))
4.0ms
(cbrt (* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t)))))
7.0ms
(cbrt (* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t)))))
6.0ms
(cbrt (* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t)))))

series738.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (fma x y (* z t)))
203.0ms
(cbrt (* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t)))))
191.0ms
(cbrt (* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t)))))
190.0ms
(cbrt (* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t)))))

simplify2.9s

Counts
58 → 58
Iterations

Useful iterations: done (2.9s)

IterNodesCost
08821606
121220817
250720169
3131619406
4377919326
done500819160

prune728.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fma x y (* z t)) (fma x y (* z t)))
0.3b
(* (cbrt (* (fma x y (* z t)) (fma x y (* z t)))) (cbrt (fma x y (* z t))))
0.6b
(cbrt (fma x y (* z t)))
26.0b
(cbrt (* (fma x y (* z t)) (fma x y (* z t))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×cbrt-prod pow1
12×*-un-lft-identity add-cube-cbrt
9×associate-*r*
8×add-exp-log
7×associate-*l*
6×add-cbrt-cube
5×unswap-sqr
4×expm1-log1p-u pow1/3 log1p-expm1-u add-log-exp
3×swap-sqr pow-prod-down
2×prod-exp *-commutative cbrt-unprod fma-udef
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow3 pow-sqr pow-prod-up
Counts
4 → 82
Calls
4 calls:
11.0ms
(* (fma x y (* z t)) (fma x y (* z t)))
12.0ms
(* (cbrt (* (fma x y (* z t)) (fma x y (* z t)))) (cbrt (fma x y (* z t))))
1.0ms
(cbrt (fma x y (* z t)))
3.0ms
(cbrt (* (fma x y (* z t)) (fma x y (* z t))))

series534.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (fma x y (* z t)) (fma x y (* z t)))
59.0ms
(* (cbrt (* (fma x y (* z t)) (fma x y (* z t)))) (cbrt (fma x y (* z t))))
190.0ms
(cbrt (fma x y (* z t)))
185.0ms
(cbrt (* (fma x y (* z t)) (fma x y (* z t))))

simplify3.2s

Counts
94 → 94
Iterations

Useful iterations: done (3.2s)

IterNodesCost
014929247
136826566
2108926458
3349625586
done500325511

prune956.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012213
113213
done13213

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s13536×body80valid