Details

sample20.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

8.0ms

312×

body

valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- 1.0 x) z)
7.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify95.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166

prune49.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:

10.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
3.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
43.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
41.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
41.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	308	1289
1	1030	1210
2	5001	1108

prune204.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
0.0b	(sqrt (* (- 1.0 x) z))
0.0b	(sqrt (* (- 1.0 x) z))
0.3b	(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*l/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
8×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

3.0ms	(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
5.0ms	(sqrt (* (- 1.0 x) z))
5.0ms	(sqrt (* (- 1.0 x) z))
13.0ms	(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
12.0ms	(sqrt (* (- 1.0 x) z))
14.0ms	(sqrt (* (- 1.0 x) z))
13.0ms	(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	284	608
1	1304	527
2	5001	508

prune122.0ms

Filtered

67 candidates to 106 candidates (-58.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* (- 1.0 x) z)))
0.1b	(sqrt (sqrt (* (- 1.0 x) z)))
0.1b	(* (pow (sqrt (sqrt (* (- 1.0 x) z))) 3) (sqrt (sqrt (* (- 1.0 x) z))))
0.4b	(pow (sqrt (sqrt (* (- 1.0 x) z))) 3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
42×	`add-sqr-sqrt`
36×	`sqrt-div`
20×	`associate-l` `associate-*l/`
18×	`pow1` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `sqrt-pow1` `cube-prod`
12×	`unswap-sqr`
10×	`add-exp-log`
9×	`flip3--` `flip--`
8×	`cube-div`
7×	`associate-r` `add-cbrt-cube`
6×	`pow-pow` `pow1/2`
4×	`frac-times` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-prod-down` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `associate-*r/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 138

Calls

4 calls:

6.0ms	(sqrt (sqrt (* (- 1.0 x) z)))
5.0ms	(sqrt (sqrt (* (- 1.0 x) z)))
17.0ms	(* (pow (sqrt (sqrt (* (- 1.0 x) z))) 3) (sqrt (sqrt (* (- 1.0 x) z))))
8.0ms	(pow (sqrt (sqrt (* (- 1.0 x) z))) 3)

series67.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (sqrt (* (- 1.0 x) z)))
14.0ms	(sqrt (sqrt (* (- 1.0 x) z)))
13.0ms	(* (pow (sqrt (sqrt (* (- 1.0 x) z))) 3) (sqrt (sqrt (* (- 1.0 x) z))))
25.0ms	(pow (sqrt (sqrt (* (- 1.0 x) z))) 3)

simplify68.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	528	1328
1	2145	1178
2	5001	1071

prune251.0ms

Filtered

90 candidates to 150 candidates (-66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	150	3	153

Merged error: 0b

Counts

153 → 3

regimes186.0ms

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

sample560.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

286.0ms

10116×

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

sample20.0ms

simplify26.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify95.0ms

prune49.0ms

localize10.0ms

rewrite24.0ms

series192.0ms

simplify43.0ms

prune204.0ms

localize8.0ms

rewrite29.0ms

series48.0ms

simplify48.0ms

prune122.0ms

localize11.0ms

rewrite41.0ms

series67.0ms

simplify68.0ms

prune251.0ms

regimes186.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample560.0ms

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