Details

sample77.0ms

Algorithm

intervals

Results

32.0ms

425×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	18	19
1	37	19
2	93	19
3	284	19
4	797	19
5	1842	19
done	5000	17

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
0.2b	(* (* x 9.0) y)
2.7b	(/ (+ (* (* x 9.0) y) b) z)
9.4b	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

rewrite584.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-l` `*-commutative` `flip-+`

Counts

4 → 89

Calls

4 calls:

165.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
26.0ms	(* (* x 9.0) y)
68.0ms	(/ (+ (* (* x 9.0) y) b) z)
322.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

series523.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
25.0ms	(* (* x 9.0) y)
76.0ms	(/ (+ (* (* x 9.0) y) b) z)
215.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	182	1845
1	458	1789
2	2251	1649
done	5002	1635

prune403.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.9b	(/ b (* z c))
4.9b	(/ (* t a) c)
9.2b	(/ (* x y) (* z c))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

47.0ms	(* 9.0 (/ (* x y) (* z c)))
12.0ms	(/ b (* z c))
14.0ms	(/ (* t a) c)
19.0ms	(/ (* x y) (* z c))

series168.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 9.0 (/ (* x y) (* z c)))
32.0ms	(/ b (* z c))
31.0ms	(/ (* t a) c)
43.0ms	(/ (* x y) (* z c))

simplify1.4s

Counts

104 → 104

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	160	1082
1	431	1049
2	2449	827
done	5000	815

prune373.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.9b	(/ b (* z c))
5.4b	(/ t (/ c a))
9.2b	(/ (* x y) (* z c))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
52×	`add-sqr-sqrt`
50×	`add-cube-cbrt` `*-un-lft-identity`
44×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
14×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

27.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(/ b (* z c))
9.0ms	(/ t (/ c a))
21.0ms	(/ (* x y) (* z c))

series161.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* 9.0 (/ (* x y) (* z c)))
31.0ms	(/ b (* z c))
31.0ms	(/ t (/ c a))
39.0ms	(/ (* x y) (* z c))

simplify1.4s

Counts

153 → 153

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	260	1776
1	685	1699
2	3435	1449
done	5001	1435

prune721.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.9b	(/ b (* z c))
5.3b	(* t (/ a c))
9.2b	(/ (* x y) (* z c))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
15×	`times-frac`
11×	`cbrt-undiv` `div-exp`
8×	`pow1`
6×	`associate-l`
4×	`div-inv` `associate-/l*` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

4 → 103

Calls

4 calls:

31.0ms	(* 9.0 (/ (* x y) (* z c)))
15.0ms	(/ b (* z c))
37.0ms	(* t (/ a c))
25.0ms	(/ (* x y) (* z c))

series126.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* 9.0 (/ (* x y) (* z c)))
22.0ms	(/ b (* z c))
22.0ms	(* t (/ a c))
35.0ms	(/ (* x y) (* z c))

simplify1.3s

Counts

115 → 115

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	180	1173
1	489	1134
2	2440	906
done	5001	896

prune362.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes1.3s

Accuracy

74.1% (3.0b remaining)

Error of 3.1b against oracle of 0.1b and baseline of 11.8b

bsearch3.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	191
1	73	191
done	73	191

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.6s

12878×

body

valid