Details

sample50.0ms

Algorithm

intervals

Results

34.0ms

660×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	18	29
1	53	27
2	152	26
3	407	26
4	1030	26
5	2624	26
done	5000	26

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)) 1.0)
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.3b	(pow (fma a a (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

3.0ms	(- (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)) 1.0)
0.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
1.0ms	(pow (fma a a (* b b)) 2.0)
14.0ms	(* (* b b) (+ 3.0 a))

series269.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)) 1.0)
42.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
111.0ms	(pow (fma a a (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify835.0ms

Counts

96 → 96

Iterations

Useful iterations: done (831.0ms)

Iter	Nodes	Cost
0	179	2104
1	417	1963
2	1418	1714
done	5000	1680

prune287.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (+ 3.0 a))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

14.0ms	(* (* b b) (+ 3.0 a))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series500.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* b b) (+ 3.0 a))
156.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
152.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
159.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.5s

Counts

89 → 89

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	109	1189
1	261	1158
2	928	1035
3	3936	1026
done	5000	1026

prune368.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

8.1b	(cbrt (fma a a (* b b)))
13.0b	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`

Counts

4 → 62

Calls

4 calls:

0.0ms	(cbrt (fma a a (* b b)))
1.0ms	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series566.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (fma a a (* b b)))
157.0ms	(cbrt (pow (* (cbrt (fma a a (* b b))) (cbrt (fma a a (* b b)))) 2.0))
152.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
156.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify1.6s

Counts

74 → 74

Iterations

Useful iterations: 3 (152.0ms)

Iter	Nodes	Cost
0	112	1202
1	210	1189
2	456	1077
3	1167	1065
4	3409	1065
done	5001	1065

prune461.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))
19.5b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
1.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series597.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
151.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
151.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
147.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify2.6s

Counts

80 → 80

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	58	1188
1	104	1172
2	214	1064
3	512	1052
4	1438	1052
5	4880	1052
done	5000	1052

prune388.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes146.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	18	26
done	18	26

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

20612×

body

valid