Details

Time bar (total: 8.3s)

sample25.0ms

Algorithm
intervals
Results
10.0ms326×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
067
1147
2236
3286
done286

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b
(* (fma y y 1.0) x)

rewrite11.0ms

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:
10.0ms
(* (fma y y 1.0) x)

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(* (fma y y 1.0) x)

simplify2.6s

Counts
23 → 23
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
039204
177198
2281168
32589168
done5002168

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 6.8b

localize11.0ms

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))
6.4b
(sqrt (fma y y 1.0))
6.4b
(sqrt (fma y y 1.0))

rewrite56.0ms

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:
14.0ms
(* (sqrt (fma y y 1.0)) x)
35.0ms
(* (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))

series313.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (sqrt (fma y y 1.0)) x)
58.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
72.0ms
(sqrt (fma y y 1.0))
73.0ms
(sqrt (fma y y 1.0))

simplify620.0ms

Counts
89 → 89
Iterations

Useful iterations: done (618.0ms)

IterNodesCost
01031047
1248968
21041737
done5000732

prune228.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 6.8b

localize15.0ms

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)))
6.4b
(sqrt (fma y y 1.0))
6.4b
(sqrt (fma y y 1.0))
6.4b
(sqrt (fma y y 1.0))

rewrite86.0ms

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:
79.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))

series254.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
76.0ms
(sqrt (fma y y 1.0))
56.0ms
(sqrt (fma y y 1.0))
55.0ms
(sqrt (fma y y 1.0))

simplify803.0ms

Counts
86 → 86
Iterations

Useful iterations: done (800.0ms)

IterNodesCost
0931321
12321033
21005695
done5000689

prune342.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 6.8b

localize31.0ms

Local error

Found 4 expressions with local error:

6.4b
(sqrt (fma y y 1.0))
6.4b
(sqrt (fma y y 1.0))
6.4b
(sqrt (fma y y 1.0))
6.4b
(sqrt (fma y y 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))

series230.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(sqrt (fma y y 1.0))
57.0ms
(sqrt (fma y y 1.0))
52.0ms
(sqrt (fma y y 1.0))
62.0ms
(sqrt (fma y y 1.0))

simplify1.3s

Counts
72 → 72
Iterations

Useful iterations: 3 (345.0ms)

IterNodesCost
045656
196592
2328544
31931540
done5001540

prune403.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 6.8b

regimes56.0ms

Accuracy

0% (0.1b remaining)

Error of 5.2b against oracle of 5.1b and baseline of 5.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample774.0ms

Algorithm
intervals
Results
428.0ms10693×body80valid