Details

Time bar (total: 16.5s)

sample53.0ms

Algorithm
intervals
Results
12.0ms279×body80valid
12.0ms294×body80nan

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5001
71646
6498
5161
471
343
225
113
07

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (fma y (sqrt x) 1.0) x)
0.1b
(fma y (sqrt x) 1.0)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×prod-diff add-cube-cbrt
4×add-log-exp
3×fma-neg
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef log1p-expm1-u
1×sub-neg flip3-- diff-log associate--l+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 39
Calls
2 calls:
8.0ms
(- (fma y (sqrt x) 1.0) x)
1.0ms
(fma y (sqrt x) 1.0)

series75.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (fma y (sqrt x) 1.0) x)
42.0ms
(fma y (sqrt x) 1.0)

simplify1.6s

Counts
45 → 45
Iterations
IterNodes
done5000
33350
2632
1202
084

prune289.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
13.0ms
(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))
1.0ms
(cbrt (fma y (sqrt x) 1.0))
1.0ms
(cbrt (fma y (sqrt x) 1.0))
1.0ms
(cbrt (fma y (sqrt x) 1.0))

series885.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))
228.0ms
(cbrt (fma y (sqrt x) 1.0))
197.0ms
(cbrt (fma y (sqrt x) 1.0))
226.0ms
(cbrt (fma y (sqrt x) 1.0))

simplify932.0ms

Counts
93 → 93
Iterations
IterNodes
done5001
21059
1304
0121

prune633.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow (cbrt (fma (sqrt x) y 1.0)) 3) x)
0.1b
(fma (sqrt x) y 1.0)
0.2b
(cbrt (fma (sqrt x) y 1.0))
0.3b
(pow (cbrt (fma (sqrt x) y 1.0)) 3)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
54×prod-diff
50×*-un-lft-identity
48×add-cube-cbrt
35×cbrt-prod
32×unpow-prod-down cube-prod
18×fma-neg
6×add-log-exp difference-of-squares sqr-pow
5×cube-mult pow1 unpow3 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow-unpow
2×pow-pow pow1/3
1×pow-to-exp sub-neg flip3-- diff-log pow-exp fma-udef flip-- distribute-lft-out-- rem-cube-cbrt
Counts
4 → 148
Calls
4 calls:
39.0ms
(- (pow (cbrt (fma (sqrt x) y 1.0)) 3) x)
0.0ms
(fma (sqrt x) y 1.0)
1.0ms
(cbrt (fma (sqrt x) y 1.0))
6.0ms
(pow (cbrt (fma (sqrt x) y 1.0)) 3)

series972.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (pow (cbrt (fma (sqrt x) y 1.0)) 3) x)
44.0ms
(fma (sqrt x) y 1.0)
312.0ms
(cbrt (fma (sqrt x) y 1.0))
544.0ms
(pow (cbrt (fma (sqrt x) y 1.0)) 3)

simplify1.9s

Counts
160 → 160
Iterations
IterNodes
done5001
22463
1572
0208

prune616.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma y (sqrt x) 1.0))
0.2b
(cbrt (fma (sqrt x) y 1.0))
0.3b
(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
0.5b
(pow (cbrt (cbrt (fma (sqrt x) y 1.0))) (+ 3 1))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow-unpow add-cbrt-cube pow1/3 log1p-expm1-u add-log-exp
2×pow-pow
1×pow-to-exp unpow-prod-up pow-exp distribute-lft-out sqr-pow
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt (fma y (sqrt x) 1.0))
1.0ms
(cbrt (fma (sqrt x) y 1.0))
8.0ms
(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
11.0ms
(pow (cbrt (cbrt (fma (sqrt x) y 1.0))) (+ 3 1))

series1.1s

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt (fma y (sqrt x) 1.0))
249.0ms
(cbrt (fma (sqrt x) y 1.0))
223.0ms
(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
413.0ms
(pow (cbrt (cbrt (fma (sqrt x) y 1.0))) (+ 3 1))

simplify1.1s

Counts
77 → 77
Iterations
IterNodes
done5000
22012
1630
0225

prune797.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes192.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample1.4s

Algorithm
intervals
Results
461.0ms8523×body80valid
376.0ms8329×body80nan
0.0ms2×body1280valid