Details

sample70.0ms

Algorithm

intervals

Results

32.0ms

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma t z (fma (* i (- c)) (fma b c a) (* y x)))
3.6b	(fma (* i (- c)) (fma b c a) (* y x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

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

series693.0ms

Counts

2 → 6

Calls

2 calls:

560.0ms	(fma t z (fma (* i (- c)) (fma b c a) (* y x)))
133.0ms	(fma (* i (- c)) (fma b c a) (* y x))

simplify591.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
3	1020
2	214
1	76
0	44

prune259.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.2b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
12×	`add-sqr-sqrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`flip3-+` `flip-+`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `prod-diff`
2×	`sum-log` `diff-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

10.0ms	(+ a (* b c))
60.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
22.0ms	(* (+ a (* b c)) c)
44.0ms	(* (* (+ a (* b c)) c) i)

series935.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ a (* b c))
769.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
56.0ms	(* (+ a (* b c)) c)
80.0ms	(* (* (+ a (* b c)) c) i)

simplify1.8s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	2736
1	490
0	165

prune930.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (fma i (* (fma b c a) (- c)) (* t z)))
0.1b	(* (fma b c a) (- c))
4.8b	(fma i (* (fma b c a) (- c)) (* t z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `associate-l` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `associate-+r+` `neg-mul-1` `sum-log` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

13.0ms	(+ (* x y) (fma i (* (fma b c a) (- c)) (* t z)))
19.0ms	(* (fma b c a) (- c))
1.0ms	(fma i (* (fma b c a) (- c)) (* t z))

series985.0ms

Counts

3 → 9

Calls

3 calls:

674.0ms	(+ (* x y) (fma i (* (fma b c a) (- c)) (* t z)))
77.0ms	(* (fma b c a) (- c))
234.0ms	(fma i (* (fma b c a) (- c)) (* t z))

simplify536.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	985
1	249
0	102

prune708.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (fma i (* (fma b c a) (- c)) (* t z)))
0.1b	(* (fma b c a) (- c))
4.8b	(fma i (* (fma b c a) (- c)) (* t z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`neg-mul-1` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

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

series1.2s

Counts

3 → 9

Calls

3 calls:

816.0ms	(fma x y (fma i (* (fma b c a) (- c)) (* t z)))
92.0ms	(* (fma b c a) (- c))
290.0ms	(fma i (* (fma b c a) (- c)) (* t z))

simplify563.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	726
1	180
0	89

prune673.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes2.3s

Accuracy

18.3% (1.4b remaining)

Error of 1.7b against oracle of 0.4b and baseline of 2.1b

bsearch166.0ms

Steps

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

simplify8.0ms

Iterations

Iter	Nodes
done	57
3	57
2	56
1	44
0	29

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.0s

15401×

body

valid