Details

Time bar (total: 11.3s)

sample25.0ms

Algorithm
intervals
Results
11.0ms347×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
067
1147
2236
3276
done276

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
11.0ms
(* (fma y y 1.0) x)

series77.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(* (fma y y 1.0) x)

simplify3.0s

Counts
23 → 23
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
039204
177198
2242168
3827168
43454168
done5000168

prune55.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.3b

localize13.0ms

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))

rewrite72.0ms

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:
23.0ms
(* (sqrt (fma y y 1.0)) x)
41.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
3.0ms
(sqrt (fma y y 1.0))
3.0ms
(sqrt (fma y y 1.0))

series321.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (sqrt (fma y y 1.0)) x)
60.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
65.0ms
(sqrt (fma y y 1.0))
67.0ms
(sqrt (fma y y 1.0))

simplify1.4s

Counts
89 → 89
Iterations

Useful iterations: 3 (753.0ms)

IterNodesCost
01031047
1241828
2714734
32051729
done5001729

prune215.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.3b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
13×add-exp-log add-cbrt-cube
12×add-sqr-sqrt sqrt-prod
9×add-cube-cbrt *-un-lft-identity
6×associate-*l* 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 → 71
Calls
4 calls:
97.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (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))

series256.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x)))
60.0ms
(sqrt (fma y y 1.0))
70.0ms
(sqrt (fma y y 1.0))
65.0ms
(sqrt (fma y y 1.0))

simplify2.2s

Counts
83 → 83
Iterations

Useful iterations: 3 (810.0ms)

IterNodesCost
0891255
1217922
2719629
32187626
done5000626

prune317.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (sqrt (sqrt (fma y y 1.0))) 3)
1.0b
(* x (pow (sqrt (sqrt (fma y y 1.0))) 3))
4.0b
(sqrt (fma y y 1.0))
4.0b
(sqrt (fma y y 1.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
48×sqrt-prod
38×add-sqr-sqrt
24×associate-*r*
21×add-cube-cbrt unpow-prod-down *-un-lft-identity cube-prod
10×add-exp-log
9×pow1
8×unswap-sqr
7×add-cbrt-cube
6×sqrt-pow1
5×pow-pow
4×expm1-log1p-u pow1/2 log1p-expm1-u add-log-exp
3×pow-unpow associate-*l* prod-exp sqr-pow
2×cube-mult pow-to-exp rem-sqrt-square unpow3 pow-exp
1×*-commutative sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 121
Calls
4 calls:
9.0ms
(pow (sqrt (sqrt (fma y y 1.0))) 3)
39.0ms
(* x (pow (sqrt (sqrt (fma y y 1.0))) 3))
3.0ms
(sqrt (fma y y 1.0))
3.0ms
(sqrt (fma y y 1.0))

series759.0ms

Counts
4 → 12
Calls
4 calls:
432.0ms
(pow (sqrt (sqrt (fma y y 1.0))) 3)
212.0ms
(* x (pow (sqrt (sqrt (fma y y 1.0))) 3))
51.0ms
(sqrt (fma y y 1.0))
64.0ms
(sqrt (fma y y 1.0))

simplify1.0s

Counts
133 → 133
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01781735
14231419
212461363
done50001342

prune460.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 4.3b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample786.0ms

Algorithm
intervals
Results
408.0ms10632×body80valid