Details

sample72.0ms

Algorithm

intervals

Results

41.0ms

461×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4736
5	2602
4	911
3	255
2	86
1	33
0	18

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
0.1b	(* (fma b c a) c)
9.0b	(* i (* (fma b c a) c))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma t z (* y x))
12.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
12.0ms	(* (fma b c a) c)
22.0ms	(* i (* (fma b c a) c))

series977.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(fma t z (* y x))
796.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
44.0ms	(* (fma b c a) c)
66.0ms	(* i (* (fma b c a) c))

simplify1.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	828
1	256
0	120

prune678.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
1.3b	(* i (fma b c a))
4.7b	(* (* i (fma b c a)) c)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma t z (* y x))
6.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
7.0ms	(* i (fma b c a))
18.0ms	(* (* i (fma b c a)) c)

series1.0s

Counts

4 → 12

Calls

4 calls:

68.0ms	(fma t z (* y x))
823.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
71.0ms	(* i (fma b c a))
76.0ms	(* (* i (fma b c a)) c)

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	950
1	279
0	126

prune763.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
0.6b	(cbrt i)
1.4b	(* (cbrt i) (fma b c a))
4.7b	(* (* (* (cbrt i) (cbrt i)) (* (cbrt i) (fma b c a))) c)

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
14×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt i)
1.0ms	(cbrt i)
10.0ms	(* (cbrt i) (fma b c a))
175.0ms	(* (* (* (cbrt i) (cbrt i)) (* (cbrt i) (fma b c a))) c)

series993.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt i)
273.0ms	(cbrt i)
287.0ms	(* (cbrt i) (fma b c a))
121.0ms	(* (* (* (cbrt i) (cbrt i)) (* (cbrt i) (fma b c a))) c)

simplify2.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1198
1	319
0	127

prune808.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
1.2b	(* (* (cbrt i) (fma b c a)) c)
1.4b	(* (cbrt i) (fma b c a))
3.9b	(* (* (cbrt i) (cbrt i)) (* (* (cbrt i) (fma b c a)) c))

rewrite607.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l`
7×	`cbrt-prod` `associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt i)
39.0ms	(* (* (cbrt i) (fma b c a)) c)
17.0ms	(* (cbrt i) (fma b c a))
547.0ms	(* (* (cbrt i) (cbrt i)) (* (* (cbrt i) (fma b c a)) c))

series886.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt i)
299.0ms	(* (* (cbrt i) (fma b c a)) c)
216.0ms	(* (cbrt i) (fma b c a))
107.0ms	(* (* (cbrt i) (cbrt i)) (* (* (cbrt i) (fma b c a)) c))

simplify1.8s

Counts

105 → 105

Iterations

Iter	Nodes
done	5003
2	1296
1	369
0	144

prune853.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes1.2s

Accuracy

68.5% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 4.9b

bsearch147.0ms

Steps

Iters	Range		Point
5	1.5645992182973862e-66	5.348123093314954e-66	5.213977875097998e-66
8	-6.02171750296329e-10	-3.234574601768209e-14	-5.02546033382806e-11

simplify7.0ms

Iterations

Iter	Nodes
done	46
1	46
0	33

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.4s

15165×

body

valid