Details

sample88.0ms

Algorithm

intervals

Results

39.0ms

512×

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

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize44.0ms

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)
8.5b	(* i (* (fma b c a) c))

rewrite42.0ms

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` `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 → 71

Calls

4 calls:

0.0ms	(fma t z (* y x))
9.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
9.0ms	(* (fma b c a) c)
21.0ms	(* i (* (fma b c a) c))

series1.1s

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma t z (* y x))
859.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
83.0ms	(* (fma b c a) c)
103.0ms	(* i (* (fma b c a) c))

simplify3.7s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	4898
2	860
1	252
0	116

prune935.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (* (* (fma c b a) i) c))
0.8b	(* (fma c b a) i)
3.3b	(* (* (fma c b a) i) c)

rewrite41.0ms

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` `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 → 71

Calls

4 calls:

0.0ms	(fma t z (* y x))
5.0ms	(- (fma t z (* y x)) (* (* (fma c b a) i) c))
8.0ms	(* (fma c b a) i)
26.0ms	(* (* (fma c b a) i) c)

series1.0s

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma t z (* y x))
786.0ms	(- (fma t z (* y x)) (* (* (fma c b a) i) c))
81.0ms	(* (fma c b a) i)
86.0ms	(* (* (fma c b a) i) c)

simplify3.5s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	3962
2	804
1	264
0	119

prune861.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (* (fma c b a) (* i c)))
4.3b	(* (fma c b a) (* i c))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

0.0ms	(fma t z (* y x))
10.0ms	(- (fma t z (* y x)) (* (fma c b a) (* i c)))
32.0ms	(* (fma c b a) (* i c))

series938.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(fma t z (* y x))
789.0ms	(- (fma t z (* y x)) (* (fma c b a) (* i c)))
70.0ms	(* (fma c b a) (* i c))

simplify2.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	4126
2	742
1	221
0	96

prune690.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y x (* t z))
0.0b	(- (fma y x (* t z)) (* (fma c b a) (* i c)))
4.3b	(* (fma c b a) (* i c))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

0.0ms	(fma y x (* t z))
5.0ms	(- (fma y x (* t z)) (* (fma c b a) (* i c)))
13.0ms	(* (fma c b a) (* i c))

series1.0s

Counts

3 → 9

Calls

3 calls:

53.0ms	(fma y x (* t z))
897.0ms	(- (fma y x (* t z)) (* (fma c b a) (* i c)))
80.0ms	(* (fma c b a) (* i c))

simplify2.9s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	4148
2	773
1	223
0	96

prune562.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

regimes1.6s

Accuracy

0% (0.8b remaining)

Error of 1.8b against oracle of 1.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s

15211×

body

valid