Details

Time bar (total: 17.3s)

sample71.0ms

Algorithm
intervals
Results
33.0ms414×body80valid

simplify94.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01515
12714
26212
311812
415412
515612
done15612

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

series521.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(fma x y (* z t))
351.0ms
(fma i c (fma a b (fma x y (* z t))))
112.0ms
(fma a b (fma x y (* z t)))

simplify794.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
046430
161420
2170366
31026366
done5000366

prune407.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
1.6b
(cbrt (fma x y (* z t)))
1.6b
(cbrt (fma x y (* z t)))
1.6b
(cbrt (fma x y (* z t)))

rewrite24.0ms

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:
18.0ms
(* (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)))

series719.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
173.0ms
(cbrt (fma x y (* z t)))
167.0ms
(cbrt (fma x y (* z t)))
174.0ms
(cbrt (fma x y (* z t)))

simplify4.5s

Counts
93 → 93
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01041450
12581334
28971217
346241077
done50001077

prune963.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma i c (fma a b (cbrt (pow (fma t z (* x y)) 3))))
0.0b
(fma a b (cbrt (pow (fma t z (* x y)) 3)))
0.3b
(pow (fma t z (* x y)) 3)
33.6b
(cbrt (pow (fma t z (* x y)) 3))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×unpow-prod-down cube-prod
5×pow1 add-cbrt-cube add-exp-log
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult unpow3 fma-udef sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 68
Calls
4 calls:
0.0ms
(fma i c (fma a b (cbrt (pow (fma t z (* x y)) 3))))
0.0ms
(fma a b (cbrt (pow (fma t z (* x y)) 3)))
2.0ms
(pow (fma t z (* x y)) 3)
2.0ms
(cbrt (pow (fma t z (* x y)) 3))

series683.0ms

Counts
4 → 12
Calls
4 calls:
327.0ms
(fma i c (fma a b (cbrt (pow (fma t z (* x y)) 3))))
94.0ms
(fma a b (cbrt (pow (fma t z (* x y)) 3)))
195.0ms
(pow (fma t z (* x y)) 3)
67.0ms
(cbrt (pow (fma t z (* x y)) 3))

simplify1.2s

Counts
80 → 80
Iterations

Useful iterations: 2 (224.0ms)

IterNodesCost
01021167
1252943
21453825
done5001825

prune644.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma a b (fma x y (* z t)))
0.2b
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
0.5b
(sqrt (fma a b (fma x y (* z t))))
0.5b
(sqrt (fma a b (fma x y (* z t))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma a b (fma x y (* z t)))
11.0ms
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
1.0ms
(sqrt (fma a b (fma x y (* z t))))
1.0ms
(sqrt (fma a b (fma x y (* z t))))

series1.2s

Counts
4 → 12
Calls
4 calls:
89.0ms
(fma a b (fma x y (* z t)))
85.0ms
(* (sqrt (fma a b (fma x y (* z t)))) (sqrt (fma a b (fma x y (* z t)))))
564.0ms
(sqrt (fma a b (fma x y (* z t))))
473.0ms
(sqrt (fma a b (fma x y (* z t))))

simplify549.0ms

Counts
103 → 103
Iterations

Useful iterations: done (545.0ms)

IterNodesCost
0992040
12191424
29471288
done50001245

prune663.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes988.0ms

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 (1.0ms)

IterNodesCost
01212
11312
done1312

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.2s13869×body80valid