Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune2.0ms

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: 10.1b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.9b	(- (* (* z 2.0) z) (* y t))
18.2b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms	(- (* (* z 2.0) z) (* y t))
10.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
39.0ms	(- (* (* z 2.0) z) (* y t))
182.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune147.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	9	61

Merged error: 4.0b

Counts

61 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.9b	(- (* (* z 2.0) z) (* y t))
4.7b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.4b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `associate-/r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

18.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
8.0ms	(- (* (* z 2.0) z) (* y t))
19.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
13.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series404.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
36.0ms	(- (* (* z 2.0) z) (* y t))
222.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
66.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5002	988

prune223.0ms

Filtered

114 candidates to 84 candidates (73.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Merged error: 2.1b

Counts

123 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
0.0b	(- (* z 2.0) (/ (* t y) z))
4.7b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.1b	(/ (* t y) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `add-log-exp`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l*`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

8.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
5.0ms	(- (* z 2.0) (/ (* t y) z))
8.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms	(/ (* t y) z)

series338.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
50.0ms	(- (* z 2.0) (/ (* t y) z))
187.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
21.0ms	(/ (* t y) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	334	566
1	1494	506
2	5001	506

prune152.0ms

Filtered

82 candidates to 57 candidates (69.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Merged error: 0.2b

Counts

89 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
3.1b	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.7b	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-exp-log`
23×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
22×	`associate-r`
17×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`pow1/3` `associate-/r/`
1×	`frac-times` `flip3--` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `associate-/l`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
14.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
6.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

series616.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt z)
181.0ms	(cbrt z)
45.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
198.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	569	1058
1	3033	868
2	5001	820

prune271.0ms

Filtered

116 candidates to 86 candidates (74.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0.2b

Counts

123 → 7

regimes120.0ms

Accuracy

0% (0.9b remaining)

Error of 1.5b against oracle of 0.5b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	12
1	18	12

end0.0ms

sample522.0ms

Algorithm

intervals

Results

313.0ms

8000×

body

valid