Details

sample133.0ms

Algorithm

intervals

Results

72.0ms

512×

body

valid

simplify5.6s

Counts

1 → 1

Iterations

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

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize46.0ms

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))

rewrite28.0ms

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))
7.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
5.0ms	(* (fma b c a) c)
12.0ms	(* i (* (fma b c a) c))

series1.1s

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma t z (* y x))
923.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
65.0ms	(* (fma b c a) c)
81.0ms	(* i (* (fma b c a) c))

simplify4.2s

Counts

83 → 83

Iterations

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

prune672.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

localize40.0ms

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)

rewrite35.0ms

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))
7.0ms	(* (fma c b a) i)
15.0ms	(* (* (fma c b a) i) c)

series1.0s

Counts

4 → 12

Calls

4 calls:

68.0ms	(fma t z (* y x))
817.0ms	(- (fma t z (* y x)) (* (* (fma c b a) i) c))
71.0ms	(* (fma c b a) i)
75.0ms	(* (* (fma c b a) i) c)

simplify3.3s

Counts

83 → 83

Iterations

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

prune896.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

localize22.0ms

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))

rewrite43.0ms

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))
11.0ms	(- (fma t z (* y x)) (* (fma c b a) (* i c)))
29.0ms	(* (fma c b a) (* i c))

series961.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(fma t z (* y x))
802.0ms	(- (fma t z (* y x)) (* (fma c b a) (* i c)))
93.0ms	(* (fma c b a) (* i c))

simplify3.2s

Counts

60 → 60

Iterations

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

prune563.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize26.0ms

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))

rewrite23.0ms

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))
7.0ms	(- (fma y x (* t z)) (* (fma c b a) (* i c)))
14.0ms	(* (fma c b a) (* i c))

series1.0s

Counts

3 → 9

Calls

3 calls:

66.0ms	(fma y x (* t z))
839.0ms	(- (fma y x (* t z)) (* (fma c b a) (* i c)))
106.0ms	(* (fma c b a) (* i c))

simplify3.0s

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

regimes1.4s

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

sample3.1s

Algorithm

intervals

Results

2.2s

15211×

body

valid