Details

analyze706.0ms

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	72×	body	80	invalid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2024	4
11	3276	4
12	5001	4

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: 2.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.5b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series22.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ x (* (- y x) (/ z t)))
11.0ms	(* (- y x) (/ z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune97.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.4b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
16.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series127.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt t)
25.0ms	(cbrt t)
25.0ms	(cbrt t)
52.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify56.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	399	665
1	1639	535
2	5001	479

prune112.0ms

Filtered

57 candidates to 81 candidates (-42.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.5b	(* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
8×	`associate-l`
6×	`pow1`
5×	`associate-r`
4×	`cbrt-undiv` `cbrt-div` `div-exp` `add-log-exp` `unswap-sqr`
3×	`times-frac` `pow1/3`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
20.0ms	(* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt t)
25.0ms	(cbrt t)
30.0ms	(cbrt t)
73.0ms	(* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify48.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	462	752
1	1667	673
2	5002	618

prune156.0ms

Filtered

64 candidates to 86 candidates (-34.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	5	5
Picked	1	0	1
Done	1	1	2
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.2b	(* (cbrt (cbrt (- y x))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
22×	`add-exp-log` `add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt` `associate-l`
9×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
8×	`cbrt-div`
6×	`pow1` `unswap-sqr`
5×	`associate-r`
4×	`cbrt-undiv` `times-frac` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
16.0ms	(* (cbrt (cbrt (- y x))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series187.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt t)
21.0ms	(cbrt t)
22.0ms	(cbrt t)
121.0ms	(* (cbrt (cbrt (- y x))) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify49.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	506	895
1	1706	814
2	5002	759

prune100.0ms

Filtered

69 candidates to 91 candidates (-31.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

regimes489.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	29
1	25	29

end0.0ms

analyze618.0ms

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample617.0ms

Algorithm

intervals

Results

268.0ms	8000×	body	80	valid
76.0ms	2075×	body	80	invalid

Details

analyze706.0ms

sample26.0ms

simplify118.0ms

prune4.0ms

localize7.0ms

rewrite14.0ms

series22.0ms

simplify37.0ms

prune97.0ms

localize17.0ms

rewrite22.0ms

series127.0ms

simplify56.0ms

prune112.0ms

localize22.0ms

rewrite27.0ms

series154.0ms

simplify48.0ms

prune156.0ms

localize50.0ms

rewrite22.0ms

series187.0ms

simplify49.0ms

prune100.0ms

regimes489.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze618.0ms

sample617.0ms

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