Details

Time bar (total: 20.2s)

sample87.0ms

Algorithm
intervals
Results
38.0ms440×body80valid

simplify106.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
015288
127263
260213
3110213
4137213
5139213
done139213

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite1.0ms

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))))
0.0ms
(fma x y (* z t))

series460.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(fma a b (fma x y (* z t)))
299.0ms
(fma i c (fma a b (fma x y (* z t))))
52.0ms
(fma x y (* z t))

simplify1.5s

Counts
39 → 39
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0467393
1617143
21497143
37307143
done50027143

prune419.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

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)))

rewrite25.0ms

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:
17.0ms
(* (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)))
2.0ms
(cbrt (fma x y (* z t)))

series710.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
159.0ms
(cbrt (fma x y (* z t)))
164.0ms
(cbrt (fma x y (* z t)))
161.0ms
(cbrt (fma x y (* z t)))

simplify2.0s

Counts
93 → 93
Iterations

Useful iterations: done (2.0s)

IterNodesCost
010429002
125627479
262827290
3154326367
done500026007

prune900.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize123.0ms

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)))))

rewrite21.0ms

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)))
5.0ms
(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)))))
8.0ms
(cbrt (* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t)))))

series788.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (fma x y (* z t)))
215.0ms
(cbrt (* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t)))))
224.0ms
(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)))))

simplify3.3s

Counts
58 → 58
Iterations

Useful iterations: done (3.2s)

IterNodesCost
08821606
121220817
250720169
3131619406
4377919326
done500819160

prune812.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize54.0ms

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))))

rewrite26.0ms

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:
6.0ms
(* (fma x y (* z t)) (fma x y (* z t)))
14.0ms
(* (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))))

series488.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (fma x y (* z t)) (fma x y (* z t)))
52.0ms
(* (cbrt (* (fma x y (* z t)) (fma x y (* z t)))) (cbrt (fma x y (* z t))))
162.0ms
(cbrt (fma x y (* z t)))
195.0ms
(cbrt (* (fma x y (* z t)) (fma x y (* z t))))

simplify3.6s

Counts
94 → 94
Iterations

Useful iterations: done (3.6s)

IterNodesCost
014929247
136826566
2108926458
3349625586
done500325511

prune981.0ms

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

sample2.7s

Algorithm
intervals
Results
1.1s13536×body80valid