Details

sample90.0ms

Algorithm

intervals

Results

38.0ms

506×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3501
4	954
3	258
2	87
1	33
0	18

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize30.0ms

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)
6.6b	(* i (* (fma b c a) c))

rewrite51.0ms

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:

1.0ms	(fma t z (* y x))
11.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
19.0ms	(* (fma b c a) c)
17.0ms	(* i (* (fma b c a) c))

series1.2s

Counts

4 → 12

Calls

4 calls:

61.0ms	(fma t z (* y x))
962.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
60.0ms	(* (fma b c a) c)
85.0ms	(* i (* (fma b c a) c))

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1126
1	252
0	116

prune891.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

localize74.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
0.6b	(cbrt i)
2.6b	(* (cbrt i) (* (fma b c a) c))
4.2b	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* (fma b c a) c)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
18×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt i)
1.0ms	(cbrt i)
27.0ms	(* (cbrt i) (* (fma b c a) c))
79.0ms	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* (fma b c a) c)))

series1.0s

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt i)
318.0ms	(cbrt i)
322.0ms	(* (cbrt i) (* (fma b c a) c))
169.0ms	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* (fma b c a) c)))

simplify1.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1415
1	292
0	106

prune927.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.2b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (pow (* (* i c) (fma b c a)) 1))
6.7b	(* (* i c) (fma b c a))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `prod-diff`
13×	`add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`fma-udef` `sqr-pow`
3×	`expm1-log1p-u` `unpow-prod-down` `fma-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `associate-l` `associate--l+` `*-commutative` `flip--` `distribute-lft-out--`

Counts

3 → 68

Calls

3 calls:

0.0ms	(fma t z (* y x))
20.0ms	(- (fma t z (* y x)) (pow (* (* i c) (fma b c a)) 1))
27.0ms	(* (* i c) (fma b c a))

series1.1s

Counts

3 → 9

Calls

3 calls:

88.0ms	(fma t z (* y x))
909.0ms	(- (fma t z (* y x)) (pow (* (* i c) (fma b c a)) 1))
66.0ms	(* (* i c) (fma b c a))

simplify2.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1995
1	336
0	143

prune790.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.2b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma y x (* z t)) (* i (* c (fma c b a))))
0.1b	(* c (fma c b a))
6.6b	(* i (* c (fma c b a)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

6.0ms	(- (fma y x (* z t)) (* i (* c (fma c b a))))
6.0ms	(* c (fma c b a))
26.0ms	(* i (* c (fma c b a)))

series955.0ms

Counts

3 → 9

Calls

3 calls:

821.0ms	(- (fma y x (* z t)) (* i (* c (fma c b a))))
57.0ms	(* c (fma c b a))
77.0ms	(* i (* c (fma c b a)))

simplify1.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1293
1	297
0	125

prune869.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

regimes1.7s

Accuracy

16.7% (1.5b remaining)

Error of 1.8b against oracle of 0.3b and baseline of 2.1b

bsearch213.0ms

Steps

Iters	Range		Point
6	3.276198412039474e-56	2.9702468251407215e-55	1.5020075983599674e-55
9	-7.5540982925038335e-59	-3.412733796902356e-65	-7.472033446684189e-59

simplify9.0ms

Iterations

Iter	Nodes
done	47
2	47
1	46
0	31

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.4s

15401×

body

valid