Details

sample739.0ms

Algorithm

intervals

Results

387.0ms	17×	body	320	valid
140.0ms	1178×	body	80	nan
44.0ms	384×	body	80	valid
7.0ms	5×	body	1280	valid
6.0ms	11×	body	640	valid
2.0ms	9×	body	160	valid

simplify890.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (50.0ms)

Iter	Nodes	Cost
0	17	18
1	30	18
2	58	18
3	127	18
4	350	17
5	1256	17
done	5001	17

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.9b	(log (- 1.0 z))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
32×	`associate--l+`
24×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-cube-cbrt`
14×	`associate-+r+`
12×	`associate-r/` `associate-r*`
11×	`pow1`
10×	`associate-+l+`
9×	`add-exp-log` `distribute-lft-out--`
8×	`sub-neg` `add-cbrt-cube`
7×	`flip3--` `flip--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 125

Calls

4 calls:

35.0ms	(* a (- (log (- 1.0 z)) b))
30.0ms	(* y (- (log z) t))
40.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0ms	(log (- 1.0 z))

series444.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* a (- (log (- 1.0 z)) b))
86.0ms	(* y (- (log z) t))
216.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
59.0ms	(log (- 1.0 z))

simplify1.4s

Counts

137 → 137

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	285	1993
1	732	1887
2	2524	1769
done	5002	1756

prune591.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.1b	(* y (- (log z) t))
0.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
81×	`associate-r`
80×	`times-frac`
60×	`*-un-lft-identity`
56×	`unpow-prod-down`
50×	`add-cube-cbrt`
44×	`associate--l+`
31×	`add-exp-log`
24×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `unpow2` `sqr-pow`
19×	`unswap-sqr`
14×	`associate-+r+`
13×	`associate-*r/` `add-cbrt-cube`
12×	`pow1` `sub-neg` `prod-exp`
10×	`associate-+l+`
9×	`div-exp` `associate-l`
7×	`distribute-lft-out--`
6×	`pow-to-exp` `flip3--` `pow-exp` `flip--` `add-log-exp`
4×	`frac-add` `cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`log-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

4 → 220

Calls

4 calls:

45.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
757.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
34.0ms	(* y (- (log z) t))
192.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
125.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
106.0ms	(* y (- (log z) t))
311.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify768.0ms

Counts

232 → 232

Iterations

Useful iterations: done (757.0ms)

Iter	Nodes	Cost
0	446	4375
1	1217	4059
done	5000	3665

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (* a (pow z 2)))
0.0b	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
0.0b	(+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))
8.6b	(* a (pow z 2))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
10×	`prod-exp`
9×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `associate-l`
4×	`unpow-prod-down` `sum-log` `cbrt-unprod` `unswap-sqr`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `flip-+` `unpow2` `sqr-pow`
1×	`associate-+r+` `pow-prod-down`

Counts

4 → 70

Calls

4 calls:

40.0ms	(* 0.5 (* a (pow z 2)))
79.0ms	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
36.0ms	(+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))
24.0ms	(* a (pow z 2))

series365.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 0.5 (* a (pow z 2)))
103.0ms	(+ (* a b) (+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2)))))
153.0ms	(+ (* 1.0 (* a z)) (* 0.5 (* a (pow z 2))))
49.0ms	(* a (pow z 2))

simplify994.0ms

Counts

82 → 82

Iterations

Useful iterations: done (990.0ms)

Iter	Nodes	Cost
0	118	1140
1	338	1032
2	1520	951
done	5001	875

prune354.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	30
1	32	30
done	32	30

end0.0ms

sample13.3s

Algorithm

intervals

Results

6.4s	40348×	body	80	nan
2.0s	12446×	body	80	valid
216.0ms	381×	body	640	valid
157.0ms	382×	body	320	valid
119.0ms	269×	body	160	valid
78.0ms	74×	body	1280	valid