Details

analyze608.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.235613%

Guaranteed chance to sample good point: 84.263623%

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	14×	body	80	invalid

simplify41.0ms

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	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

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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))

series18.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify112.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (7.0ms)

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

prune57.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

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: 0b

Counts

40 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
0.6b	(cbrt (* (- x 1.0) z))
0.6b	(cbrt (* (- x 1.0) z))
0.6b	(cbrt (* (- x 1.0) z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
5.0ms	(cbrt (* (- x 1.0) z))
5.0ms	(cbrt (* (- x 1.0) z))
6.0ms	(cbrt (* (- x 1.0) z))

series73.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
15.0ms	(cbrt (* (- x 1.0) z))
16.0ms	(cbrt (* (- x 1.0) z))
16.0ms	(cbrt (* (- x 1.0) z))

simplify160.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	347	887
1	1060	836
2	4930	785
3	5001	785

prune222.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0b

Counts

88 → 4

localize13.0ms

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)))

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:

11.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
4.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
4.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
46.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
48.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
47.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

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

prune226.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
0.1b	(* (- (sqrt x) (sqrt 1.0)) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

15.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
10.0ms	(* (- (sqrt x) (sqrt 1.0)) z)

series40.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))
11.0ms	(* (- (sqrt x) (sqrt 1.0)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	393	535
1	1928	424
2	5001	424

prune94.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	60	4	64

Merged error: 0b

Counts

64 → 4

regimes207.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

analyze613.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.235613%

Guaranteed chance to sample good point: 84.263623%

sample674.0ms

Algorithm

intervals

Results

474.0ms	8000×	body	80	valid
10.0ms	366×	body	80	invalid

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

analyze608.0ms

sample18.0ms

simplify41.0ms

prune4.0ms

localize7.0ms

rewrite12.0ms

series18.0ms

simplify112.0ms

prune57.0ms

localize11.0ms

rewrite26.0ms

series73.0ms

simplify160.0ms

prune222.0ms

localize13.0ms

rewrite24.0ms

series219.0ms

simplify50.0ms

prune226.0ms

localize10.0ms

rewrite29.0ms

series40.0ms

simplify58.0ms

prune94.0ms

regimes207.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze613.0ms

sample674.0ms

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