Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

351×

body

valid

simplify100.0ms

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	2482	4
11	3774	4
12	5002	4

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: 1.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.1b	(* (- y x) (/ z t))

rewrite13.0ms

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))

series76.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* (- y x) (/ z t)))
43.0ms	(* (- 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

prune125.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Merged error: 0.0b

Counts

56 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))
12.9b	(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:

13.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))

series302.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
63.0ms	(cbrt (/ z t))
62.0ms	(cbrt (/ z t))
58.0ms	(cbrt (/ z t))

simplify83.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	338	774
1	926	705
2	3350	693
3	5001	669

prune339.0ms

Filtered

110 candidates to 88 candidates (80.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (- y x) (* (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t))) (cbrt (/ z t))))
3.8b	(cbrt (/ (cbrt z) t))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
39×	`cbrt-div`
36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`add-cube-cbrt`
29×	`frac-times`
17×	`associate-*l/`
16×	`associate-*r/`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

17.0ms	(* (- y x) (* (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t))) (cbrt (/ z t))))
3.0ms	(cbrt (/ (cbrt z) t))
3.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series450.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (- y x) (* (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t))) (cbrt (/ z t))))
167.0ms	(cbrt (/ (cbrt z) t))
59.0ms	(cbrt (/ z t))
62.0ms	(cbrt (/ z t))

simplify65.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	609	1406
1	2116	1270
2	5001	1264

prune612.0ms

Filtered

133 candidates to 115 candidates (86.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	133	7	140

Merged error: 0.0b

Counts

140 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 88

Calls

4 calls:

2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series255.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (/ z t))
66.0ms	(cbrt (/ z t))
58.0ms	(cbrt (/ z t))
65.0ms	(cbrt (/ z t))

simplify258.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 4 (46.0ms)

Iter	Nodes	Cost
0	111	572
1	223	544
2	561	536
3	1484	504
4	4853	484
5	5002	484

prune381.0ms

Filtered

100 candidates to 80 candidates (80.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	100	7	107

Merged error: 0.0b

Counts

107 → 7

regimes181.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample584.0ms

Algorithm

intervals

Results

297.0ms

10719×

body

valid