Details

Time bar (total: 8.8s)

sample15.0ms

Algorithm
intervals
Results
5.0ms329×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
067
1147
2236
3276
done276

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize4.0ms

Local error

Found 1 expressions with local error:

5.7b
(* (fma y y 1.0) x)

rewrite8.0ms

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:
7.0ms
(* (fma y y 1.0) x)

series46.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (fma y y 1.0) x)

simplify2.5s

Counts
23 → 23
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
039204
177198
2242168
3827168
43454168
done5000168

prune44.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.0b

localize6.0ms

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))
5.7b
(sqrt (fma y y 1.0))
5.7b
(sqrt (fma y y 1.0))

rewrite42.0ms

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:
10.0ms
(* (sqrt (fma y y 1.0)) x)
27.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
1.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))

series242.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (sqrt (fma y y 1.0)) x)
46.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
51.0ms
(sqrt (fma y y 1.0))
53.0ms
(sqrt (fma y y 1.0))

simplify1.2s

Counts
89 → 89
Iterations

Useful iterations: 3 (580.0ms)

IterNodesCost
01031047
1241828
2714734
32051729
done5001729

prune208.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 6.0b

localize9.0ms

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)))
5.7b
(sqrt (fma y y 1.0))
5.7b
(sqrt (fma y y 1.0))
5.7b
(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:
80.0ms
(* (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))

series205.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x)))
53.0ms
(sqrt (fma y y 1.0))
52.0ms
(sqrt (fma y y 1.0))
57.0ms
(sqrt (fma y y 1.0))

simplify1.5s

Counts
86 → 86
Iterations

Useful iterations: 3 (743.0ms)

IterNodesCost
0931321
12271012
2725692
32524689
done5002689

prune233.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 6.0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.7b
(sqrt (fma y y 1.0))
5.9b
(cbrt (fma y y 1.0))
5.9b
(cbrt (fma y y 1.0))
5.9b
(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))

series597.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(sqrt (fma y y 1.0))
181.0ms
(cbrt (fma y y 1.0))
178.0ms
(cbrt (fma y y 1.0))
180.0ms
(cbrt (fma y y 1.0))

simplify1.2s

Counts
66 → 66
Iterations

Useful iterations: done (1.2s)

IterNodesCost
090752
1198706
2530655
31663630
done5001626

prune280.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 6.0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 5.0b against oracle of 5.0b and baseline of 5.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample409.0ms

Algorithm
intervals
Results
182.0ms10617×body80valid