Details

sample66.0ms

Algorithm

intervals

Results

42.0ms

606×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1809
3	551
2	177
1	55
0	19

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (fma b b (* a a)) 2.0) 1.0))
0.1b	(* (* b b) (- 1.0 (* 3.0 a)))
0.1b	(fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a))))
0.3b	(pow (fma b b (* a a)) 2.0)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `pow1` `add-exp-log`
9×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/` `fma-udef`
1×	`pow-to-exp` `pow-pow` `flip3--` `associate-l` `pow-exp` `*-commutative` `flip--` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

0.0ms	(fma 4.0 (fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (fma b b (* a a)) 2.0) 1.0))
37.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
0.0ms	(fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a))))
3.0ms	(pow (fma b b (* a a)) 2.0)

series482.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(fma 4.0 (fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (fma b b (* a a)) 2.0) 1.0))
88.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
68.0ms	(fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a))))
189.0ms	(pow (fma b b (* a a)) 2.0)

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1309
1	418
0	159

prune730.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize90.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
20.5b	(cbrt (pow (fma b b (* a a)) 2.0))
20.5b	(cbrt (pow (fma b b (* a a)) 2.0))
20.5b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`*-un-lft-identity` `add-cube-cbrt`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

27.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series947.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
227.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
236.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
226.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify2.8s

Counts

129 → 129

Iterations

Iter	Nodes
done	5037
4	3020
3	1066
2	522
1	236
0	122

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize144.0ms

Local error

Found 4 expressions with local error:

13.1b	(sqrt (pow (fma b b (* a a)) 2.0))
13.1b	(sqrt (pow (fma b b (* a a)) 2.0))
20.5b	(cbrt (pow (fma b b (* a a)) 2.0))
20.5b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
6×	`rem-sqrt-square` `sqr-pow`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 76

Calls

4 calls:

3.0ms	(sqrt (pow (fma b b (* a a)) 2.0))
5.0ms	(sqrt (pow (fma b b (* a a)) 2.0))
3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
4.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series953.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(sqrt (pow (fma b b (* a a)) 2.0))
245.0ms	(sqrt (pow (fma b b (* a a)) 2.0))
210.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
252.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify2.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	5002
4	1693
3	675
2	286
1	143
0	82

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize243.0ms

Local error

Found 4 expressions with local error:

20.5b	(cbrt (pow (fma b b (* a a)) 2.0))
20.5b	(cbrt (pow (fma b b (* a a)) 2.0))
20.5b	(cbrt (pow (fma b b (* a a)) 2.0))
20.5b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-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` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
291.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
278.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
269.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify3.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	5007
5	4208
4	1335
3	499
2	204
1	103
0	58

prune976.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes332.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.8s

20397×

body

valid