Details

Time bar (total: 10.5s)

sample29.0ms

Algorithm
intervals
Results
12.0ms338×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
067
1147
2236
3286
done286

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize6.0ms

Local error

Found 1 expressions with local error:

4.0b
(* (fma y y 1.0) x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
8.0ms
(* (fma y y 1.0) x)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (fma y y 1.0) x)

simplify2.8s

Counts
23 → 23
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
039204
177198
2281168
32589168
done5002168

prune92.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (fma y y 1.0)) x)
0.1b
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
4.0b
(sqrt (fma y y 1.0))
4.0b
(sqrt (fma y y 1.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*l*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 77
Calls
4 calls:
11.0ms
(* (sqrt (fma y y 1.0)) x)
27.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
2.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))

series305.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* (sqrt (fma y y 1.0)) x)
59.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
57.0ms
(sqrt (fma y y 1.0))
69.0ms
(sqrt (fma y y 1.0))

simplify797.0ms

Counts
89 → 89
Iterations

Useful iterations: done (794.0ms)

IterNodesCost
01031047
1248968
21041737
done5000732

prune360.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
4.0b
(sqrt (fma y y 1.0))
4.0b
(sqrt (fma y y 1.0))
4.0b
(sqrt (fma y y 1.0))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-prod
16×pow1
13×add-exp-log add-sqr-sqrt add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
9×associate-*l*
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×associate-*r* *-commutative
Counts
4 → 74
Calls
4 calls:
122.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
2.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))

series271.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
74.0ms
(sqrt (fma y y 1.0))
74.0ms
(sqrt (fma y y 1.0))
52.0ms
(sqrt (fma y y 1.0))

simplify932.0ms

Counts
86 → 86
Iterations

Useful iterations: done (930.0ms)

IterNodesCost
0931321
12321033
21005695
done5000689

prune370.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.3b

localize37.0ms

Local error

Found 4 expressions with local error:

4.0b
(sqrt (fma y y 1.0))
4.2b
(cbrt (fma y y 1.0))
4.2b
(cbrt (fma y y 1.0))
4.2b
(cbrt (fma y y 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
2.0ms
(sqrt (fma y y 1.0))
1.0ms
(cbrt (fma y y 1.0))
1.0ms
(cbrt (fma y y 1.0))
1.0ms
(cbrt (fma y y 1.0))

series747.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (fma y y 1.0))
237.0ms
(cbrt (fma y y 1.0))
227.0ms
(cbrt (fma y y 1.0))
218.0ms
(cbrt (fma y y 1.0))

simplify2.1s

Counts
66 → 66
Iterations

Useful iterations: 3 (851.0ms)

IterNodesCost
090752
1199706
2670655
33778630
done5000630

prune387.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.3b

regimes93.0ms

Accuracy

0% (0.1b remaining)

Error of 5.3b against oracle of 5.3b and baseline of 5.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample784.0ms

Algorithm
intervals
Results
410.0ms10680×body80valid