Details

sample43.0ms

Algorithm

intervals

Results

9.0ms	286×	body	80	nan
9.0ms	268×	body	80	valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1646
6	498
5	161
4	71
3	43
2	25
1	13
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt x) 1.0)

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:

1.0ms

(fma y (sqrt x) 1.0)

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(fma y (sqrt x) 1.0)

simplify2.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	4566
3	673
2	189
1	71
0	31

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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))
0.2b	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 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 (sqrt x) 1.0))
1.0ms	(cbrt (fma y (sqrt x) 1.0))
1.0ms	(cbrt (fma y (sqrt x) 1.0))
9.0ms	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

series824.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (fma y (sqrt x) 1.0))
239.0ms	(cbrt (fma y (sqrt x) 1.0))
197.0ms	(cbrt (fma y (sqrt x) 1.0))
176.0ms	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1050
1	304
0	121

prune560.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`cbrt-prod` `pow1`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `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 → 69

Calls

4 calls:

7.0ms	(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
7.0ms	(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
7.0ms	(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
25.0ms	(* (cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))) (cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))))

series847.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
194.0ms	(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
217.0ms	(cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0))))
228.0ms	(* (cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))) (cbrt (* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))))

simplify2.0s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1060
1	308
0	119

prune572.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize126.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))
1.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))
1.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))
4.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))

series797.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))
191.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))
208.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))
203.0ms	(cbrt (cbrt (fma y (sqrt x) 1.0)))

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	1460
2	388
1	149
0	70

prune673.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

714.0ms	8462×	body	80	nan
490.0ms	8553×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid