Details

sample61.0ms

Algorithm

intervals

Results

14.0ms	285×	body	80	nan
13.0ms	267×	body	80	valid

simplify3.6s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(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:

0.0ms

(fma y (sqrt x) 1.0)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma y (sqrt x) 1.0)

simplify2.8s

Counts

13 → 13

Iterations

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

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma y (sqrt x) 1.0))
0.3b	(cbrt (fma y (sqrt x) 1.0))
0.3b	(cbrt (fma y (sqrt x) 1.0))
0.3b	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

rewrite24.0ms

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))
2.0ms	(cbrt (fma y (sqrt x) 1.0))
17.0ms	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

series859.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (fma y (sqrt x) 1.0))
206.0ms	(cbrt (fma y (sqrt x) 1.0))
217.0ms	(cbrt (fma y (sqrt x) 1.0))
222.0ms	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

simplify1.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1050
1	304
0	121

prune584.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma y (sqrt x) 1.0))
0.3b	(cbrt (fma y (sqrt x) 1.0))
0.3b	(cbrt (fma y (sqrt x) 1.0))
0.3b	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

rewrite12.0ms

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)))

series837.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (fma y (sqrt x) 1.0))
244.0ms	(cbrt (fma y (sqrt x) 1.0))
187.0ms	(cbrt (fma y (sqrt x) 1.0))
199.0ms	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

simplify1.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1050
1	304
0	121

prune788.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma y (sqrt x) 1.0))
0.3b	(cbrt (fma y (sqrt x) 1.0))
0.3b	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))
0.3b	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
14×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow-prod-down` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

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

series833.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (fma y (sqrt x) 1.0))
225.0ms	(cbrt (fma y (sqrt x) 1.0))
216.0ms	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))
185.0ms	(* (cbrt (fma y (sqrt x) 1.0)) (cbrt (fma y (sqrt x) 1.0)))

simplify1.8s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1050
1	304
0	121

prune903.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

423.0ms	8543×	body	80	valid
314.0ms	8676×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid