Details

sample43.0ms

Algorithm

intervals

Results

20.0ms

419×

body

valid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 21.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z 4.0) t)
0.5b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.1b	(* (* (* z 4.0) t) a)
17.8b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

5.0ms	(* (* z 4.0) t)
5.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms	(* (* (* z 4.0) t) a)
13.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series315.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* z 4.0) t)
76.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
28.0ms	(* (* (* z 4.0) t) a)
194.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify68.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	446	680
1	2162	574
2	5001	574

prune253.0ms

Filtered

89 candidates to 55 candidates (61.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	77	12	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	12	90

Merged error: 8.6b

Counts

90 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.0b	(/ b (* z c))
7.2b	(/ (* a t) c)
10.3b	(/ (* x y) (* z c))

rewrite26.0ms

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:

7.0ms	(* 9.0 (/ (* x y) (* z c)))
4.0ms	(/ b (* z c))
6.0ms	(/ (* a t) c)
5.0ms	(/ (* x y) (* z c))

series104.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ b (* z c))
18.0ms	(/ (* a t) c)
27.0ms	(/ (* x y) (* z c))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune278.0ms

Filtered

104 candidates to 62 candidates (59.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	103	13	116

Merged error: 0.3b

Counts

116 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.0b	(/ b (* z c))
5.8b	(* a (/ t c))
10.3b	(/ (* x y) (* z c))

rewrite27.0ms

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:

8.0ms	(* 9.0 (/ (* x y) (* z c)))
4.0ms	(/ b (* z c))
6.0ms	(* a (/ t c))
5.0ms	(/ (* x y) (* z c))

series105.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* 9.0 (/ (* x y) (* z c)))
23.0ms	(/ b (* z c))
18.0ms	(* a (/ t c))
26.0ms	(/ (* x y) (* z c))

simplify60.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	475	551
1	2583	432
2	5003	432

prune369.0ms

Filtered

115 candidates to 68 candidates (59.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	115	13	128

Merged error: 0.0b

Counts

128 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ (* z c) b))
4.8b	(/ (* z c) b)
5.8b	(* a (/ t c))
10.3b	(/ (* x y) (* z c))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log` `times-frac`
35×	`add-sqr-sqrt` `add-cbrt-cube`
30×	`add-cube-cbrt` `*-un-lft-identity`
19×	`div-exp`
13×	`associate-r`
12×	`cbrt-undiv`
11×	`associate-/r*`
10×	`prod-exp`
8×	`cbrt-unprod` `div-inv`
7×	`pow1`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `inv-pow`

Counts

4 → 130

Calls

4 calls:

6.0ms	(/ 1 (/ (* z c) b))
6.0ms	(/ (* z c) b)
6.0ms	(* a (/ t c))
5.0ms	(/ (* x y) (* z c))

series124.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1 (/ (* z c) b))
28.0ms	(/ (* z c) b)
29.0ms	(* a (/ t c))
34.0ms	(/ (* x y) (* z c))

simplify65.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	554	667
1	3001	557
2	5002	524

prune349.0ms

Filtered

142 candidates to 79 candidates (55.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	139	3	142
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	142	13	155

Merged error: 0.0b

Counts

155 → 13

regimes946.0ms

Accuracy

5.4% (10.6b remaining)

Error of 10.7b against oracle of 0.1b and baseline of 11.3b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	114
1	91	114

end0.0ms

sample1.1s

Algorithm

intervals

Results

632.0ms

12761×

body

valid