Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify35.0ms

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: 13.7b

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))))
0.8b	(- (* (* z 2.0) z) (* y t))
22.3b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite23.0ms

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))))
4.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series293.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
38.0ms	(- (* (* z 2.0) z) (* y t))
176.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

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

prune126.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Merged error: 4.8b

Counts

61 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

7.6b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
24.8b	(cbrt (- (* (* z 2.0) z) (* y t)))
24.8b	(cbrt (- (* (* z 2.0) z) (* y t)))
24.8b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod` `flip3--` `flip--`
8×	`associate-/r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 68

Calls

4 calls:

14.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
5.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
152.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
120.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
117.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	436	1040
1	1466	920
2	5001	905

prune247.0ms

Filtered

80 candidates to 67 candidates (83.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	80	7	87

Merged error: 4.8b

Counts

87 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.8b	(- (* 2.0 (pow z 2)) (* t y))
6.2b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
18.6b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

2.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
4.0ms	(- (* 2.0 (pow z 2)) (* t y))
10.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
41.0ms	(- (* 2.0 (pow z 2)) (* t y))
176.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
49.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	391	883
1	1978	774
2	5003	773

prune207.0ms

Filtered

100 candidates to 69 candidates (69.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	98	9	107

Merged error: 4.8b

Counts

107 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.8b	(- (* (* z 2.0) z) (* y t))
6.1b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.6b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite35.0ms

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:

10.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms	(- (* (* z 2.0) z) (* y t))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series371.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
39.0ms	(- (* (* z 2.0) z) (* y t))
201.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
49.0ms	(/ (- (* (* 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

prune214.0ms

Filtered

114 candidates to 84 candidates (73.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	4	2	6
Picked	1	0	1
Done	1	1	2
Total	117	6	123

Merged error: 1.9b

Counts

123 → 6

regimes105.0ms

Accuracy

0% (0.6b remaining)

Error of 3.0b against oracle of 2.3b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample573.0ms

Algorithm

intervals

Results

367.0ms

8000×

body

valid

Details

sample29.0ms

simplify35.0ms

prune2.0ms

localize11.0ms

rewrite23.0ms

series293.0ms

simplify44.0ms

prune126.0ms

localize18.0ms

rewrite30.0ms

series613.0ms

simplify45.0ms

prune247.0ms

localize12.0ms

rewrite25.0ms

series344.0ms

simplify66.0ms

prune207.0ms

localize11.0ms

rewrite35.0ms

series371.0ms

simplify63.0ms

prune214.0ms

regimes105.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample573.0ms

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