Details

analyze863.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	71×	body	80	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune11.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
3.8b	(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

6.0ms	(* y (- z t))
4.0ms	(+ x (/ (* y (- z t)) a))
6.0ms	(/ (* y (- z t)) a)

series33.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
15.0ms	(+ x (/ (* y (- z t)) a))
12.0ms	(/ (* y (- z t)) a)

simplify34.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5072	574

prune82.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (* (* y (- z t)) (/ 1 a)))
3.8b	(* (* y (- z t)) (/ 1 a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
18×	`associate-r`
17×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`prod-exp`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `sum-log` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

6.0ms	(* y (- z t))
3.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
9.0ms	(* (* y (- z t)) (/ 1 a))

series36.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
17.0ms	(+ x (* (* y (- z t)) (/ 1 a)))
12.0ms	(* (* y (- z t)) (/ 1 a))

simplify35.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5555	745

prune81.0ms

Filtered

51 candidates to 86 candidates (-68.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ 1 (/ a (* y (- z t)))))
0.6b	(/ 1 (/ a (* y (- z t))))
3.8b	(/ a (* y (- z t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`sub-neg` `frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

6.0ms	(* y (- z t))
12.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
8.0ms	(/ 1 (/ a (* y (- z t))))
6.0ms	(/ a (* y (- z t)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (- z t))
16.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
13.0ms	(/ 1 (/ a (* y (- z t))))
10.0ms	(/ a (* y (- z t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5015	1340

prune121.0ms

Filtered

84 candidates to 136 candidates (-61.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	136	6	142

Merged error: 0b

Counts

142 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ a y) (- z t))))
0.6b	(/ 1 (/ (/ a y) (- z t)))
7.5b	(/ (/ a y) (- z t))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

50.0ms	(+ x (/ 1 (/ (/ a y) (- z t))))
17.0ms	(/ 1 (/ (/ a y) (- z t)))
8.0ms	(/ (/ a y) (- z t))

series43.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ x (/ 1 (/ (/ a y) (- z t))))
12.0ms	(/ 1 (/ (/ a y) (- z t)))
16.0ms	(/ (/ a y) (- z t))

simplify95.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4982	6973
1	4982	6973

prune298.0ms

Filtered

257 candidates to 434 candidates (-68.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	433	1	434
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	434	6	440

Merged error: 0b

Counts

440 → 6

regimes565.0ms

Accuracy

77.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	45
1	39	45

end0.0ms

sample652.0ms

Algorithm

intervals

Results

276.0ms	8000×	body	80	valid
81.0ms	2543×	body	80	invalid

Details

analyze863.0ms

sample24.0ms

simplify35.0ms

prune11.0ms

localize6.0ms

rewrite18.0ms

series33.0ms

simplify34.0ms

prune82.0ms

localize8.0ms

rewrite21.0ms

series36.0ms

simplify35.0ms

prune81.0ms

localize8.0ms

rewrite36.0ms

series45.0ms

simplify41.0ms

prune121.0ms

localize8.0ms

rewrite103.0ms

series43.0ms

simplify95.0ms

prune298.0ms

regimes565.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample652.0ms

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