Details

Time bar (total: 11.5s)

sample30.0ms

Algorithm
intervals
Results
13.0ms334×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
067
1147
2236
3286
done286

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize10.0ms

Local error

Found 1 expressions with local error:

1.5b
(* (fma y y 1.0) x)

rewrite24.0ms

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:
23.0ms
(* (fma y y 1.0) x)

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(* (fma y y 1.0) x)

simplify2.5s

Counts
23 → 23
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
039204
177198
2281168
32589168
done5002168

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.5b

localize8.0ms

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))
1.4b
(sqrt (fma y y 1.0))
1.4b
(sqrt (fma y y 1.0))

rewrite46.0ms

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:
15.0ms
(* (sqrt (fma y y 1.0)) x)
26.0ms
(* (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))

series335.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (sqrt (fma y y 1.0)) x)
67.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
78.0ms
(sqrt (fma y y 1.0))
57.0ms
(sqrt (fma y y 1.0))

simplify736.0ms

Counts
89 → 89
Iterations

Useful iterations: done (733.0ms)

IterNodesCost
01031047
1248968
21041737
done5000732

prune298.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt (fma y y 1.0))) (sqrt (sqrt (fma y y 1.0))))
1.4b
(sqrt (fma y y 1.0))
1.4b
(sqrt (fma y y 1.0))
1.4b
(sqrt (fma y y 1.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
52×add-sqr-sqrt
35×sqrt-pow1
30×pow1
19×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 122
Calls
4 calls:
35.0ms
(* (sqrt (sqrt (fma y y 1.0))) (sqrt (sqrt (fma y y 1.0))))
2.0ms
(sqrt (fma y y 1.0))
3.0ms
(sqrt (fma y y 1.0))
3.0ms
(sqrt (fma y y 1.0))

series277.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (sqrt (sqrt (fma y y 1.0))) (sqrt (sqrt (fma y y 1.0))))
63.0ms
(sqrt (fma y y 1.0))
72.0ms
(sqrt (fma y y 1.0))
79.0ms
(sqrt (fma y y 1.0))

simplify1.5s

Counts
134 → 134
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01041898
12231155
211311052
done50001036

prune452.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.5b

localize34.0ms

Local error

Found 4 expressions with local error:

1.4b
(sqrt (fma y y 1.0))
1.6b
(cbrt (fma y y 1.0))
1.6b
(cbrt (fma y y 1.0))
1.6b
(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))
2.0ms
(cbrt (fma y y 1.0))

series952.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (fma y y 1.0))
283.0ms
(cbrt (fma y y 1.0))
279.0ms
(cbrt (fma y y 1.0))
306.0ms
(cbrt (fma y y 1.0))

simplify2.4s

Counts
66 → 66
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
090752
1199706
2670655
33778630
done5000630

prune335.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 1.5b

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 5.4b against oracle of 5.3b and baseline of 5.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample1.3s

Algorithm
intervals
Results
869.0ms10675×body80valid