Details

Time bar (total: 9.5s)

sample15.0ms

Algorithm
intervals
Results
7.0ms356×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
067
1147
2226
3266
done266

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize8.0ms

Local error

Found 1 expressions with local error:

5.0b
(* (fma y y 1.0) x)

rewrite4.0ms

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:
3.0ms
(* (fma y y 1.0) x)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (fma y y 1.0) x)

simplify2.9s

Counts
23 → 23
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
039204
177198
2245168
3926168
42889168
done5000168

prune53.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.3b

localize7.0ms

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))
5.0b
(sqrt (fma y y 1.0))
5.0b
(sqrt (fma y y 1.0))

rewrite22.0ms

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:
5.0ms
(* (sqrt (fma y y 1.0)) x)
13.0ms
(* (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))

series275.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (sqrt (fma y y 1.0)) x)
47.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
58.0ms
(sqrt (fma y y 1.0))
55.0ms
(sqrt (fma y y 1.0))

simplify1.4s

Counts
89 → 89
Iterations

Useful iterations: 3 (509.0ms)

IterNodesCost
01031047
1242828
2696734
32144729
done5000729

prune226.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
5.0b
(sqrt (fma y y 1.0))
5.0b
(sqrt (fma y y 1.0))
5.0b
(sqrt (fma y y 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-prod
13×add-sqr-sqrt
12×pow1
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 71
Calls
4 calls:
17.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))

series313.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
62.0ms
(sqrt (fma y y 1.0))
69.0ms
(sqrt (fma y y 1.0))
66.0ms
(sqrt (fma y y 1.0))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0931046
1224800
2614706
31526700
done5000697

prune265.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 5.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
5.0b
(sqrt (fma y y 1.0))
5.0b
(sqrt (fma y y 1.0))
5.0b
(sqrt (fma y y 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-prod
13×add-sqr-sqrt
12×pow1
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log associate-*l* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 71
Calls
4 calls:
17.0ms
(* (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))
1.0ms
(sqrt (fma y y 1.0))

series581.0ms

Counts
4 → 12
Calls
4 calls:
381.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
68.0ms
(sqrt (fma y y 1.0))
68.0ms
(sqrt (fma y y 1.0))
64.0ms
(sqrt (fma y y 1.0))

simplify1.3s

Counts
83 → 83
Iterations

Useful iterations: 3 (503.0ms)

IterNodesCost
01131046
1270944
2824786
32645780
done5000780

prune278.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 5.3b

regimes54.0ms

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

sample364.0ms

Algorithm
intervals
Results
199.0ms10676×body80valid