Details

sample27.0ms

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

prune4.0ms

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: 12.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.7b	(- (* (* z 2.0) z) (* y t))
20.0b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite21.0ms

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:

7.0ms	(- 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)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms	(- (* (* z 2.0) z) (* y t))
27.0ms	(/ (* (* 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

prune101.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

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: 3.1b

Counts

61 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
1.7b	(- (* 2.0 (pow z 2)) (* t y))
3.0b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
19.8b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite26.0ms

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))))
7.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
8.0ms	(- (* 2.0 (pow z 2)) (* t y))
23.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
10.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (48.0ms)

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

prune170.0ms

Filtered

69 candidates to 100 candidates (-44.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	98	9	107

Merged error: 3.1b

Counts

107 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.7b	(- (* (* z 2.0) z) (* y t))
3.1b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.6b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite31.0ms

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)))
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)

series70.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
9.0ms	(- (* (* z 2.0) z) (* y t))
26.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
10.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (52.0ms)

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

prune152.0ms

Filtered

84 candidates to 114 candidates (-35.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	3	5	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	(- (* z 2.0) (/ (* t y) z))
0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
3.1b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
6.7b	(/ (* t y) z)

rewrite26.0ms

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

series51.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* z 2.0) (/ (* t y) z))
18.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
21.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms	(/ (* t y) z)

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (8.0ms)

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

prune82.0ms

Filtered

57 candidates to 82 candidates (-43.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

regimes200.0ms

Accuracy

0% (2.1b remaining)

Error of 2.6b against oracle of 0.6b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample690.0ms

Algorithm

intervals

Results

399.0ms

8000×

body

valid

Details

sample27.0ms

simplify33.0ms

prune4.0ms

localize10.0ms

rewrite21.0ms

series58.0ms

simplify44.0ms

prune101.0ms

localize11.0ms

rewrite26.0ms

series67.0ms

simplify57.0ms

prune170.0ms

localize10.0ms

rewrite31.0ms

series70.0ms

simplify64.0ms

prune152.0ms

localize10.0ms

rewrite26.0ms

series51.0ms

simplify38.0ms

prune82.0ms

regimes200.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample690.0ms

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