Details

sample99.0ms

Algorithm

intervals

Results

66.0ms

515×

body

valid

simplify5.1s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.1b	(* (+ a (* b c)) c)
8.9b	(* (* (+ a (* b c)) c) i)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
6×	`associate-r` `associate-*l/`
4×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sum-log` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 78

Calls

4 calls:

14.0ms	(+ (* x y) (* z t))
9.0ms	(+ a (* b c))
18.0ms	(* (+ a (* b c)) c)
34.0ms	(* (* (+ a (* b c)) c) i)

series292.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* x y) (* z t))
41.0ms	(+ a (* b c))
81.0ms	(* (+ a (* b c)) c)
110.0ms	(* (* (+ a (* b c)) c) i)

simplify2.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	4776
2	1193
1	351
0	127

prune725.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
5.2b	(* (+ a (* b c)) (* c i))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`flip3-+` `flip-+`
6×	`associate-*l/`
4×	`expm1-log1p-u` `fma-def` `frac-sub` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--`

Counts

4 → 82

Calls

4 calls:

77.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
12.0ms	(+ (* x y) (* z t))
8.0ms	(+ a (* b c))
37.0ms	(* (+ a (* b c)) (* c i))

series893.0ms

Counts

4 → 12

Calls

4 calls:

750.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
37.0ms	(+ (* x y) (* z t))
28.0ms	(+ a (* b c))
78.0ms	(* (+ a (* b c)) (* c i))

simplify1.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
2	2013
1	467
0	151

prune550.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) (* (* c i) (fma b c a)))
0.2b	(* (fma b c a) (+ (- (* c i)) (* c i)))
0.5b	(+ (- (* c i)) (* c i))
5.2b	(* (* c i) (fma b c a))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `add-log-exp`
9×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`fma-def`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-lft-in`
2×	`sum-log` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `associate-r/` `-commutative` `flip-+` `distribute-lft-out` `associate--r+`
1×	`neg-sub0` `+-commutative` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `neg-log` `associate-+l-` `flip--` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

8.0ms	(- (* t z) (* (* c i) (fma b c a)))
22.0ms	(* (fma b c a) (+ (- (* c i)) (* c i)))
8.0ms	(+ (- (* c i)) (* c i))
16.0ms	(* (* c i) (fma b c a))

series194.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(- (* t z) (* (* c i) (fma b c a)))
3.0ms	(* (fma b c a) (+ (- (* c i)) (* c i)))
2.0ms	(+ (- (* c i)) (* c i))
46.0ms	(* (* c i) (fma b c a))

simplify1.9s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1561
1	433
0	151

prune835.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize61.0ms

Local error

Found 4 expressions with local error:

11.0b	(cbrt (- (* c i)))
11.0b	(cbrt (- (* c i)))
11.0b	(cbrt (- (* c i)))
48.0b	(fma (* (cbrt (- (* c i))) (cbrt (- (* c i)))) (cbrt (- (* c i))) (* c i))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow1/3`
1×	`fma-udef`

Counts

4 → 62

Calls

4 calls:

3.0ms	(cbrt (- (* c i)))
3.0ms	(cbrt (- (* c i)))
3.0ms	(cbrt (- (* c i)))
0.0ms	(fma (* (cbrt (- (* c i))) (cbrt (- (* c i)))) (cbrt (- (* c i))) (* c i))

series1.1s

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- (* c i)))
142.0ms	(cbrt (- (* c i)))
134.0ms	(cbrt (- (* c i)))
676.0ms	(fma (* (cbrt (- (* c i))) (cbrt (- (* c i)))) (cbrt (- (* c i))) (* c i))

simplify1.3s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	1300
2	432
1	191
0	87

prune717.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes1.6s

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.9b and baseline of 1.8b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	33
2	33
1	31
0	20

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.8s

15207×

body

valid