Details

sample31.0ms

Algorithm

intervals

Results

10.0ms

337×

body

valid

simplify101.0ms

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: 2.1b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.8b	(* (- 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))

series23.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (35.0ms)

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

prune89.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.6b	(cbrt (/ z t))
10.6b	(cbrt (/ z t))
10.6b	(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:

14.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series83.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
13.0ms	(cbrt (/ z t))
12.0ms	(cbrt (/ z t))
13.0ms	(cbrt (/ z t))

simplify91.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	356	822
1	1010	726
2	3677	709
3	5003	679

prune127.0ms

Filtered

83 candidates to 110 candidates (-32.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	109	10	119

Merged error: 0.0b

Counts

119 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
10.6b	(cbrt (/ z t))
10.6b	(cbrt (/ z t))
10.6b	(cbrt (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
28×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
5×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`div-inv`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

3.0ms	(cbrt (- y x))
2.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series62.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- y x))
12.0ms	(cbrt (/ z t))
12.0ms	(cbrt (/ z t))
12.0ms	(cbrt (/ z t))

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	265	558
1	621	526
2	2126	504
3	5001	468

prune125.0ms

Filtered

74 candidates to 93 candidates (-25.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	93	10	103

Merged error: 0b

Counts

103 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
10.6b	(cbrt (/ z t))
10.6b	(cbrt (/ z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`times-frac`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

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

series76.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- y x))
27.0ms	(cbrt (- y x))
12.0ms	(cbrt (/ z t))
12.0ms	(cbrt (/ z t))

simplify61.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	265	520
1	621	492
2	2126	464
3	5001	432

prune109.0ms

Filtered

68 candidates to 86 candidates (-26.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	86	10	96

Merged error: 0b

Counts

96 → 10

regimes550.0ms

Accuracy

35% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample735.0ms

Algorithm

intervals

Results

343.0ms

10672×

body

valid

Details

sample31.0ms

simplify101.0ms

prune4.0ms

localize12.0ms

rewrite14.0ms

series23.0ms

simplify40.0ms

prune89.0ms

localize11.0ms

rewrite25.0ms

series83.0ms

simplify91.0ms

prune127.0ms

localize14.0ms

rewrite14.0ms

series62.0ms

simplify61.0ms

prune125.0ms

localize19.0ms

rewrite13.0ms

series76.0ms

simplify61.0ms

prune109.0ms

regimes550.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample735.0ms

Profiling