Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

365×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	6
1	89	6
2	277	6
3	735	6
4	1436	6
5	1714	6
6	1730	6
7	1730	6

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: 8.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
7.9b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* x y) (* (* z 9.0) t))
5.0ms	(* (* z 9.0) t)
7.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x y) (* (* z 9.0) t))
18.0ms	(* (* z 9.0) t)
69.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	326	399
1	1408	341
2	5002	341

prune170.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	51	12	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	12	64

Merged error: 7.9b

Counts

64 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
7.9b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* x y) (* 9.0 (* t z)))
5.0ms	(* 9.0 (* t z))
7.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* x y) (* 9.0 (* t z)))
20.0ms	(* 9.0 (* t z))
66.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	311	398
1	1209	340
2	5001	340

prune132.0ms

Filtered

63 candidates to 41 candidates (65.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	63	12	75

Merged error: 7.9b

Counts

75 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
6.1b	(/ (* x y) a)
6.5b	(/ (* t z) a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

5.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms	(* 4.5 (/ (* t z) a))
4.0ms	(/ (* x y) a)
5.0ms	(/ (* t z) a)

series176.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms	(* 4.5 (/ (* t z) a))
22.0ms	(/ (* x y) a)
19.0ms	(/ (* t z) a)

simplify54.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	381	486
1	1921	419
2	5001	419

prune199.0ms

Filtered

95 candidates to 62 candidates (65.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	5	5	10
Picked	1	0	1
Done	0	1	1
Total	96	11	107

Merged error: 0.2b

Counts

107 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
4.4b	(* x (/ y a))
6.5b	(/ (* t z) a)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`add-exp-log` `add-cbrt-cube`
20×	`associate-r`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`times-frac`
8×	`pow1` `associate-*r/`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
3×	`associate-/r*` `div-inv` `unswap-sqr`
2×	`pow-prod-down` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `frac-sub` `flip--` `associate-/l*` `sub-div`

Counts

4 → 94

Calls

4 calls:

6.0ms	(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
7.0ms	(* 4.5 (/ (* t z) a))
7.0ms	(* x (/ y a))
5.0ms	(/ (* t z) a)

series177.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
31.0ms	(* 4.5 (/ (* t z) a))
19.0ms	(* x (/ y a))
20.0ms	(/ (* t z) a)

simplify65.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	443	534
1	2228	467
2	5001	467

prune190.0ms

Filtered

106 candidates to 69 candidates (65.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	107	10	117

Merged error: 0b

Counts

117 → 10

regimes727.0ms

Accuracy

86.8% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 8.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	21
1	44	21

end0.0ms

sample787.0ms

Algorithm

intervals

Results

454.0ms

11059×

body

valid