Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

329×

body

valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series68.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 x) y)
38.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify108.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune68.0ms

Filtered

39 candidates to 29 candidates (74.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

20.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series794.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
181.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
206.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
183.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	379	1485
1	1222	1402
2	5001	1300

prune251.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.0b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.0b	(sqrt (+ (* (- 1.0 x) y) (* x z)))
0.2b	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

6.0ms	(+ (* (- 1.0 x) y) (* x z))
6.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
16.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* (- 1.0 x) y) (* x z))
177.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
167.0ms	(sqrt (+ (* (- 1.0 x) y) (* x z)))
38.0ms	(* (sqrt (+ (* (- 1.0 x) y) (* x z))) (sqrt (+ (* (- 1.0 x) y) (* x z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	278	962
1	1052	862
2	5001	832

prune185.0ms

Filtered

110 candidates to 62 candidates (56.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	109	6	115

Merged error: 0b

Counts

115 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ (* (- 1.0 x) y) (* x z)))) (sqrt (+ (* (- 1.0 x) y) (* x z))))
0.2b	(* (* (fabs (cbrt (+ (* (- 1.0 x) y) (* x z)))) (sqrt (+ (* (- 1.0 x) y) (* x z)))) (sqrt (cbrt (+ (* (- 1.0 x) y) (* x z)))))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
14×	`sqrt-div`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`cbrt-div` `associate-*r/` `sqrt-prod`
9×	`cbrt-prod` `flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

10.0ms	(* (fabs (cbrt (+ (* (- 1.0 x) y) (* x z)))) (sqrt (+ (* (- 1.0 x) y) (* x z))))
19.0ms	(* (* (fabs (cbrt (+ (* (- 1.0 x) y) (* x z)))) (sqrt (+ (* (- 1.0 x) y) (* x z)))) (sqrt (cbrt (+ (* (- 1.0 x) y) (* x z)))))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
6.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series888.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (fabs (cbrt (+ (* (- 1.0 x) y) (* x z)))) (sqrt (+ (* (- 1.0 x) y) (* x z))))
331.0ms	(* (* (fabs (cbrt (+ (* (- 1.0 x) y) (* x z)))) (sqrt (+ (* (- 1.0 x) y) (* x z)))) (sqrt (cbrt (+ (* (- 1.0 x) y) (* x z)))))
183.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
183.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	633	1916
1	2282	1775
2	5002	1733

prune319.0ms

Filtered

94 candidates to 74 candidates (78.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	94	6	100

Merged error: 0b

Counts

100 → 6

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample518.0ms

Algorithm

intervals

Results

306.0ms

10153×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Details

sample35.0ms

simplify36.0ms

prune2.0ms

localize7.0ms

rewrite13.0ms

series68.0ms

simplify108.0ms

prune68.0ms

localize11.0ms

rewrite41.0ms

series794.0ms

simplify49.0ms

prune251.0ms

localize9.0ms

rewrite38.0ms

series422.0ms

simplify55.0ms

prune185.0ms

localize14.0ms

rewrite45.0ms

series888.0ms

simplify67.0ms

prune319.0ms

regimes101.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample518.0ms

Profiling

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4