Details

Time bar (total: 12.4s)

sample36.0ms

Algorithm
intervals
Results
15.0ms341×body80valid

simplify21.0ms

Counts
1 → 1
Iterations
IterNodes
done60
460
345
223
110
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (fma x (- y) 1.0) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
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:
6.0ms
(* (fma x (- y) 1.0) x)

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(* (fma x (- y) 1.0) x)

simplify2.0s

Counts
23 → 23
Iterations
IterNodes
done5002
33195
2328
180
040

prune116.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:
1.0ms
(cbrt (fma (- y) x 1.0))
1.0ms
(cbrt (fma x (- y) 1.0))
1.0ms
(cbrt (fma x (- y) 1.0))
9.0ms
(* (cbrt (fma x (- y) 1.0)) (cbrt (fma x (- y) 1.0)))

series1.4s

Counts
4 → 12
Calls
4 calls:
382.0ms
(cbrt (fma (- y) x 1.0))
336.0ms
(cbrt (fma x (- y) 1.0))
334.0ms
(cbrt (fma x (- y) 1.0))
367.0ms
(* (cbrt (fma x (- y) 1.0)) (cbrt (fma x (- y) 1.0)))

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
done5001
21312
1350
0138

prune593.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
13×pow1 add-exp-log
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow-prod-down
7×pow1/3
6×add-cbrt-cube associate-*r* prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative
Counts
4 → 75
Calls
4 calls:
118.0ms
(* (* (* (cbrt (cbrt (fma (- y) x 1.0))) (cbrt (cbrt (fma (- y) x 1.0)))) (cbrt (cbrt (fma (- y) x 1.0)))) (cbrt (fma x (- y) 1.0)))
1.0ms
(cbrt (cbrt (fma (- y) x 1.0)))
1.0ms
(cbrt (cbrt (fma (- y) x 1.0)))
1.0ms
(cbrt (cbrt (fma (- y) x 1.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
338.0ms
(* (* (* (cbrt (cbrt (fma (- y) x 1.0))) (cbrt (cbrt (fma (- y) x 1.0)))) (cbrt (cbrt (fma (- y) x 1.0)))) (cbrt (fma x (- y) 1.0)))
349.0ms
(cbrt (cbrt (fma (- y) x 1.0)))
294.0ms
(cbrt (cbrt (fma (- y) x 1.0)))
362.0ms
(cbrt (cbrt (fma (- y) x 1.0)))

simplify827.0ms

Counts
87 → 87
Iterations
IterNodes
done5001
21629
1396
0150

prune671.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (fma (- y) x 1.0) x)) (cbrt (* (fma (- y) x 1.0) x)))
0.6b
(cbrt (* (fma (- y) x 1.0) x))
0.6b
(cbrt (* (fma (- y) x 1.0) x))
0.6b
(cbrt (* (fma (- y) x 1.0) x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
16.0ms
(* (cbrt (* (fma (- y) x 1.0) x)) (cbrt (* (fma (- y) x 1.0) x)))
5.0ms
(cbrt (* (fma (- y) x 1.0) x))
5.0ms
(cbrt (* (fma (- y) x 1.0) x))
5.0ms
(cbrt (* (fma (- y) x 1.0) x))

series1.5s

Counts
4 → 12
Calls
4 calls:
360.0ms
(* (cbrt (* (fma (- y) x 1.0) x)) (cbrt (* (fma (- y) x 1.0) x)))
383.0ms
(cbrt (* (fma (- y) x 1.0) x))
416.0ms
(cbrt (* (fma (- y) x 1.0) x))
364.0ms
(cbrt (* (fma (- y) x 1.0) x))

simplify793.0ms

Counts
78 → 78
Iterations
IterNodes
done5004
21670
1423
0147

prune623.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample795.0ms

Algorithm
intervals
Results
425.0ms10623×body80valid