Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

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: 10.8b

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))))
0.2b	(- (* (* z 2.0) z) (* y t))
18.1b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite22.0ms

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)))

series321.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
52.0ms	(- (* (* z 2.0) z) (* y t))
187.0ms	(/ (* (* 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

prune134.0ms

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: 2.9b

Counts

61 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.2b	(- (* (* z 2.0) z) (* y t))
3.5b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.7b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite33.0ms

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:

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

series360.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
37.0ms	(- (* (* z 2.0) z) (* y t))
183.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
56.0ms	(/ (- (* (* 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

prune226.0ms

Filtered

114 candidates to 84 candidates (73.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Merged error: 1.2b

Counts

123 → 6

localize10.0ms

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))
3.5b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
4.6b	(/ (* t y) z)

rewrite29.0ms

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))))
4.0ms	(- (* z 2.0) (/ (* t y) z))
11.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
4.0ms	(/ (* t y) z)

series302.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
43.0ms	(- (* z 2.0) (/ (* t y) z))
174.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
19.0ms	(/ (* t y) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

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

prune176.0ms

Filtered

82 candidates to 57 candidates (69.5%)

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: 0b

Counts

88 → 6

localize11.0ms

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)))
3.1b	(* t (/ y z))
3.5b	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

7.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
3.0ms	(- (* z 2.0) (* t (/ y z)))
6.0ms	(* t (/ y z))
6.0ms	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))

series297.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
39.0ms	(- (* z 2.0) (* t (/ y z)))
19.0ms	(* t (/ y z))
171.0ms	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	395	614
1	1802	554
2	5001	554

prune148.0ms

Filtered

93 candidates to 65 candidates (69.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	93	6	99

Merged error: 0b

Counts

99 → 6

regimes106.0ms

Accuracy

0% (1.9b remaining)

Error of 2.4b against oracle of 0.4b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample621.0ms

Algorithm

intervals

Results

414.0ms

8000×

body

valid

Details

sample23.0ms

simplify33.0ms

prune2.0ms

localize11.0ms

rewrite22.0ms

series321.0ms

simplify44.0ms

prune134.0ms

localize15.0ms

rewrite33.0ms

series360.0ms

simplify63.0ms

prune226.0ms

localize10.0ms

rewrite29.0ms

series302.0ms

simplify40.0ms

prune176.0ms

localize11.0ms

rewrite27.0ms

series297.0ms

simplify47.0ms

prune148.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample621.0ms

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