Details

Time bar (total: 23.0s)

sample58.0ms

Algorithm
intervals
Results
31.0ms348×body80valid
2.0ms5×body1280valid
1.0ms3×body640valid
1.0ms3×body320valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done1591
71591
61539
51279
4632
3237
288
131
012

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (fma (+ y z) 2 t) x (* y 5.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma (fma (+ y z) 2 t) x (* y 5.0))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(fma (fma (+ y z) 2 t) x (* y 5.0))

simplify1.8s

Counts
14 → 14
Iterations
IterNodes
done5001
41216
3306
2101
149
029

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (+ y z) 2 t) x (* y 5.0))
0.1b
(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.1b
(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.3b
(* (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

rewrite27.0ms

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 insert-posit16 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 → 95
Calls
4 calls:
1.0ms
(fma (fma (+ y z) 2 t) x (* y 5.0))
3.0ms
(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
3.0ms
(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
17.0ms
(* (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

series592.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(fma (fma (+ y z) 2 t) x (* y 5.0))
205.0ms
(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
231.0ms
(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
86.0ms
(* (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

simplify1.9s

Counts
107 → 107
Iterations
IterNodes
done5001
31335
2377
1169
091

prune546.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
0.1b
(sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
0.2b
(* (sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (* (sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))
0.2b
(* (sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
59×sqrt-pow1
54×pow1
52×sqrt-prod
36×add-sqr-sqrt pow-prod-up
35×pow1/2
18×associate-*l*
16×*-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
10×pow-prod-down
7×associate-*r*
6×pow-plus unswap-sqr
4×expm1-log1p-u rem-sqrt-square cube-unmult prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative
Counts
4 → 140
Calls
4 calls:
5.0ms
(sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
5.0ms
(sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
65.0ms
(* (sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (* (sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))
17.0ms
(* (sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

series3.6s

Counts
4 → 12
Calls
4 calls:
580.0ms
(sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
507.0ms
(sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
75.0ms
(* (sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (* (sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))
2.4s
(* (sqrt (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

simplify1.8s

Counts
152 → 152
Iterations
IterNodes
done5000
21466
1538
0216

prune843.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
0.6b
(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.6b
(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.6b
(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

rewrite27.0ms

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 insert-posit16 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 → 85
Calls
4 calls:
21.0ms
(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
1.0ms
(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms
(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms
(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

series3.0s

Counts
4 → 12
Calls
4 calls:
1.4s
(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
404.0ms
(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
545.0ms
(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
605.0ms
(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

simplify2.5s

Counts
97 → 97
Iterations
IterNodes
done5000
32538
2935
1386
0161

prune938.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes312.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s10600×body80valid
465.0ms96×body1280valid
26.0ms90×body640valid
13.0ms60×body320valid
6.0ms39×body160valid