Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify33.0ms

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: 10.4b

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))))
0.4b	(- (* (* z 2.0) z) (* y t))
18.6b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite28.0ms

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:

12.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
4.0ms	(- (* (* z 2.0) z) (* y t))
10.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
36.0ms	(- (* (* z 2.0) z) (* y t))
184.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

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

prune134.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Merged error: 3.6b

Counts

61 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.4b	(- (* 2.0 (pow z 2)) (* t y))
6.5b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
18.0b	(/ 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)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
37.0ms	(- (* 2.0 (pow z 2)) (* t y))
183.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
51.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	391	883
1	1978	774
2	5001	773

prune221.0ms

Filtered

100 candidates to 69 candidates (69.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	99	9	108

Merged error: 3.6b

Counts

108 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.4b	(- (* (* z 2.0) z) (* y t))
6.8b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite36.0ms

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:

13.0ms	(- 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)

series361.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
41.0ms	(- (* (* z 2.0) z) (* y t))
185.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
51.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5003	988

prune223.0ms

Filtered

114 candidates to 84 candidates (73.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Merged error: 0.7b

Counts

123 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z 2.0) (/ (* t y) z))
0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
3.4b	(/ (* t y) z)
6.8b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite25.0ms

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:

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

series296.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* z 2.0) (/ (* t y) z))
63.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
23.0ms	(/ (* t y) z)
168.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

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

prune133.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Merged error: 0.2b

Counts

88 → 6

regimes278.0ms

Accuracy

0% (2.2b remaining)

Error of 2.8b against oracle of 0.6b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample560.0ms

Algorithm

intervals

Results

358.0ms

8000×

body

valid

Details

sample22.0ms

simplify33.0ms

prune2.0ms

localize11.0ms

rewrite28.0ms

series306.0ms

simplify46.0ms

prune134.0ms

localize11.0ms

rewrite25.0ms

series356.0ms

simplify58.0ms

prune221.0ms

localize11.0ms

rewrite36.0ms

series361.0ms

simplify63.0ms

prune223.0ms

localize10.0ms

rewrite25.0ms

series296.0ms

simplify38.0ms

prune133.0ms

regimes278.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample560.0ms

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