Details

analyze620.0ms

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

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	79×	body	80	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

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: 1.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
4.7b	(* (- 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))

series27.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ x (* (- y x) (/ z t)))
11.0ms	(* (- y x) (/ z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5329	557

prune81.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
8.6b	(cbrt (/ z t))
8.6b	(cbrt (/ z t))
8.6b	(cbrt (/ z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

15.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series79.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
12.0ms	(cbrt (/ z t))
13.0ms	(cbrt (/ z t))
12.0ms	(cbrt (/ z t))

simplify84.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4917	1044
1	4917	1044

prune138.0ms

Filtered

84 candidates to 110 candidates (-31.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	108	9	117

Merged error: 0b

Counts

117 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
1.1b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
8.6b	(cbrt (/ z t))
8.6b	(cbrt (/ z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt z)
12.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series91.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
42.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
13.0ms	(cbrt (/ z t))
15.0ms	(cbrt (/ z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4934	963
1	4934	963

prune116.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	100	8	108

Merged error: 0b

Counts

108 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ 1 (/ -1 z)))
1.1b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
8.6b	(cbrt (/ z t))
8.6b	(cbrt (/ z t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
70×	`cbrt-prod`
57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
54×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/` `div-inv`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `associate-/r/` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

5.0ms	(cbrt (/ 1 (/ -1 z)))
14.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series94.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (/ 1 (/ -1 z)))
45.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
12.0ms	(cbrt (/ z t))
13.0ms	(cbrt (/ z t))

simplify74.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5773	1389

prune162.0ms

Filtered

86 candidates to 141 candidates (-64.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	141	8	149

Merged error: 0b

Counts

149 → 8

regimes431.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	20	9

end0.0ms

sample547.0ms

Algorithm

intervals

Results

243.0ms	8000×	body	80	valid
66.0ms	2099×	body	80	invalid

Details

analyze620.0ms

sample21.0ms

simplify35.0ms

prune4.0ms

localize7.0ms

rewrite14.0ms

series27.0ms

simplify47.0ms

prune81.0ms

localize11.0ms

rewrite25.0ms

series79.0ms

simplify84.0ms

prune138.0ms

localize15.0ms

rewrite21.0ms

series91.0ms

simplify47.0ms

prune116.0ms

localize19.0ms

rewrite29.0ms

series94.0ms

simplify74.0ms

prune162.0ms

regimes431.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample547.0ms

Profiling