Details

sample155.0ms

Algorithm

intervals

Results

67.0ms

461×

body

valid

simplify9.3s

Counts

1 → 1

Iterations

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

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
0.1b	(* (fma b c a) c)
8.6b	(* i (* (fma b c a) c))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

10.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
10.0ms	(* (fma b c a) c)
41.0ms	(* i (* (fma b c a) c))

series1.4s

Counts

3 → 9

Calls

3 calls:

1.2s	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
92.0ms	(* (fma b c a) c)
106.0ms	(* i (* (fma b c a) c))

simplify2.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	846
1	250
0	113

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

localize60.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
1.3b	(* i (fma b c a))
4.1b	(* (* i (fma b c a)) c)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

12.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
19.0ms	(* i (fma b c a))
33.0ms	(* (* i (fma b c a)) c)

series1.5s

Counts

3 → 9

Calls

3 calls:

1.2s	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
117.0ms	(* i (fma b c a))
134.0ms	(* (* i (fma b c a)) c)

simplify2.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	876
1	269
0	119

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
1.3b	(* i (fma b c a))
1.4b	(* (* (* i (fma b c a)) (* (cbrt c) (cbrt c))) (cbrt c))
3.1b	(* (* i (fma b c a)) (* (cbrt c) (cbrt c)))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt c)
19.0ms	(* i (fma b c a))
236.0ms	(* (* (* i (fma b c a)) (* (cbrt c) (cbrt c))) (cbrt c))
73.0ms	(* (* i (fma b c a)) (* (cbrt c) (cbrt c)))

series1.5s

Counts

4 → 12

Calls

4 calls:

408.0ms	(cbrt c)
130.0ms	(* i (fma b c a))
188.0ms	(* (* (* i (fma b c a)) (* (cbrt c) (cbrt c))) (cbrt c))
755.0ms	(* (* i (fma b c a)) (* (cbrt c) (cbrt c)))

simplify3.7s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1329
1	377
0	146

prune2.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize141.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma y x (* z t)) (* (* i c) (fma b c a)))
1.3b	(* (fma b c a) i)
3.7b	(* (* (fma b c a) i) (+ c (- c)))
4.9b	(* (* i c) (fma b c a))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-r`
18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`associate-l` `fma-udef`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-out` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
3×	`distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `fma-neg` `prod-diff` `*-commutative`
2×	`neg-mul-1` `distribute-rgt1-in` `associate-*r/` `associate--r+`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `associate--l+` `flip-+` `flip--` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

18.0ms	(- (fma y x (* z t)) (* (* i c) (fma b c a)))
19.0ms	(* (fma b c a) i)
69.0ms	(* (* (fma b c a) i) (+ c (- c)))
24.0ms	(* (* i c) (fma b c a))

series1.4s

Counts

4 → 12

Calls

4 calls:

1.2s	(- (fma y x (* z t)) (* (* i c) (fma b c a)))
95.0ms	(* (fma b c a) i)
8.0ms	(* (* (fma b c a) i) (+ c (- c)))
104.0ms	(* (* i c) (fma b c a))

simplify4.3s

Counts

115 → 115

Iterations

Iter	Nodes
done	5002
2	1694
1	486
0	175

prune2.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes4.2s

Accuracy

18.9% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.7b

bsearch150.0ms

Steps

Iters	Range		Point
7	3.14674969007879e-24	6.013761323080332e-23	5.926206862468905e-23

simplify16.0ms

Iterations

Iter	Nodes
done	44
1	44
0	32

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.2s

15018×

body

valid