Details

Time bar (total: 14.8s)

sample38.0ms

Algorithm
intervals
Results
19.0ms482×body80valid

simplify60.0ms

Counts
1 → 1
Iterations
IterNodes
done79
579
471
351
229
114
07

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y 3) y))
0.2b
(* (* y 3) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x x (* (* y 3) y))
20.0ms
(* (* y 3) y)

series94.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(fma x x (* (* y 3) y))
35.0ms
(* (* y 3) y)

simplify766.0ms

Counts
36 → 36
Iterations
IterNodes
done5000
2681
1122
053

prune186.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (* y y) 3 (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (* y y) 3 (* x x))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(fma (* y y) 3 (* x x))

simplify6.0s

Counts
13 → 13
Iterations
IterNodes
done5000
44012
3510
2117
134
021

prune94.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* y 3) y)
0.3b
(* (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)))
20.3b
(sqrt (* (* y 3) y))
20.3b
(sqrt (* (* y 3) y))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt add-cbrt-cube add-exp-log pow-sqr
9×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 116
Calls
4 calls:
18.0ms
(* (* y 3) y)
123.0ms
(* (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)))
18.0ms
(sqrt (* (* y 3) y))
19.0ms
(sqrt (* (* y 3) y))

series263.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (* y 3) y)
107.0ms
(* (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)))
56.0ms
(sqrt (* (* y 3) y))
62.0ms
(sqrt (* (* y 3) y))

simplify1.2s

Counts
128 → 128
Iterations
IterNodes
done5001
21496
1221
088

prune606.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

20.3b
(sqrt (* (* (cbrt (* (* y 3) y)) (cbrt (* (* y 3) y))) (cbrt (* (* y 3) y))))
20.9b
(cbrt (* (* y 3) y))
20.9b
(cbrt (* (* y 3) y))
20.9b
(cbrt (* (* y 3) y))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
15×sqrt-pow1
12×pow1/3
9×pow-prod-up
6×pow-plus
5×pow-prod-down
4×add-sqr-sqrt expm1-log1p-u *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt log1p-expm1-u add-log-exp
3×cbrt-prod pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 59
Calls
4 calls:
51.0ms
(sqrt (* (* (cbrt (* (* y 3) y)) (cbrt (* (* y 3) y))) (cbrt (* (* y 3) y))))
15.0ms
(cbrt (* (* y 3) y))
19.0ms
(cbrt (* (* y 3) y))
19.0ms
(cbrt (* (* y 3) y))

series1.1s

Counts
4 → 12
Calls
4 calls:
181.0ms
(sqrt (* (* (cbrt (* (* y 3) y)) (cbrt (* (* y 3) y))) (cbrt (* (* y 3) y))))
298.0ms
(cbrt (* (* y 3) y))
307.0ms
(cbrt (* (* y 3) y))
341.0ms
(cbrt (* (* y 3) y))

simplify2.0s

Counts
71 → 71
Iterations
IterNodes
done5000
53480
41063
3390
2170
194
055

prune402.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes314.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample1.1s

Algorithm
intervals
Results
775.0ms14242×body80valid