Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

311×

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))

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify101.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

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

prune53.0ms

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: 0.0b

Counts

40 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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)))
0.6b	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (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:

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

series194.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
42.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
41.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
69.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))

simplify43.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	311	1298
1	1043	1219
2	5001	1117

prune229.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

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: 0b

Counts

103 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (- x 1.0) z))
0.1b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.1b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.3b	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite25.0ms

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:

4.0ms	(+ (* x y) (* (- x 1.0) z))
3.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
12.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* x y) (* (- x 1.0) z))
18.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
18.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
8.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	266	940
1	1018	860
2	5001	834

prune136.0ms

Filtered

64 candidates to 110 candidates (-71.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	110	5	115

Merged error: 0b

Counts

115 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt x) (sqrt 1.0))
0.0b	(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
0.1b	(* (- (sqrt x) (sqrt 1.0)) z)
0.1b	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
14×	`associate-l` `sqrt-prod`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
8×	`add-log-exp` `difference-of-squares`
7×	`add-cube-cbrt`
5×	`flip3--` `flip--`
4×	`frac-times` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out--`
2×	`associate-r/` `-commutative` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

5.0ms	(- (sqrt x) (sqrt 1.0))
4.0ms	(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
8.0ms	(* (- (sqrt x) (sqrt 1.0)) z)
14.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

series55.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (sqrt x) (sqrt 1.0))
15.0ms	(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
9.0ms	(* (- (sqrt x) (sqrt 1.0)) z)
27.0ms	(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

simplify66.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	520	866
1	2458	719
2	5001	704

prune145.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	96	4	100

Merged error: 0b

Counts

100 → 4

regimes240.0ms

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	13	5
1	13	5

end0.0ms

sample588.0ms

Algorithm

intervals

Results

271.0ms

10016×

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

sample22.0ms

simplify32.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series11.0ms

simplify101.0ms

prune53.0ms

localize13.0ms

rewrite22.0ms

series194.0ms

simplify43.0ms

prune229.0ms

localize9.0ms

rewrite25.0ms

series51.0ms

simplify45.0ms

prune136.0ms

localize10.0ms

rewrite34.0ms

series55.0ms

simplify66.0ms

prune145.0ms

regimes240.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample588.0ms

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