Details

sample21.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

9.0ms

312×

body

valid

simplify32.0ms

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	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	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	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) 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	(* (- x 1.0) z)
4.0ms	(+ (* x y) (* (- x 1.0) z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify96.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	187	183
1	775	166
2	4041	166
3	5001	166

prune44.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0.0b

Counts

40 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:

9.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
5.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
42.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
44.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
42.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	311	1298
1	1035	1219
2	5001	1117

prune207.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))
0.5b	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))
0.5b	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))
0.9b	(pow (cbrt (cbrt (+ (* x y) (* (- x 1.0) z)))) 4)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

5.0ms	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))
3.0ms	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))
4.0ms	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))
6.0ms	(pow (cbrt (cbrt (+ (* x y) (* (- x 1.0) z)))) 4)

series217.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))
42.0ms	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))
43.0ms	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))
80.0ms	(pow (cbrt (cbrt (+ (* x y) (* (- x 1.0) z)))) 4)

simplify155.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	299	1010
1	906	952
2	3758	905
3	5002	890

prune260.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* x y) (* (- x 1.0) z))))
0.5b	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b	(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
24×	`add-sqr-sqrt`
18×	`cbrt-div`
16×	`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`
3×	`sqrt-prod`
2×	`sqrt-div` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

3.0ms	(cbrt (sqrt (+ (* x y) (* (- x 1.0) z))))
9.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt (sqrt (+ (* x y) (* (- x 1.0) z))))
69.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
42.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
46.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	374	1360
1	1160	1278
2	5001	1174

prune297.0ms

Filtered

76 candidates to 102 candidates (-34.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	102	4	106

Merged error: 0b

Counts

106 → 4

regimes202.0ms

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

sample582.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

308.0ms

10116×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Details

sample21.0ms

simplify32.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify96.0ms

prune44.0ms

localize10.0ms

rewrite22.0ms

series210.0ms

simplify41.0ms

prune207.0ms

localize16.0ms

rewrite20.0ms

series217.0ms

simplify155.0ms

prune260.0ms

localize14.0ms

rewrite21.0ms

series203.0ms

simplify47.0ms

prune297.0ms

regimes202.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample582.0ms

Profiling

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4