Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

326×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	56	3
3	137	3
4	229	3
5	289	3
6	379	3
7	582	3
8	878	3
9	1193	3
10	1234	3
11	1234	3

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

8.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify30.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	240	207
1	997	192
2	5001	190

prune66.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0b

Counts

37 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
32×	`frac-times`
21×	`flip3--` `flip--`
16×	`associate-r` `associate-*l/`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`flip3-+` `flip-+`
11×	`sqrt-prod`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
1×	`distribute-lft-out`

Counts

2 → 82

Calls

2 calls:

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

series101.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))
70.0ms	(* (+ x y) (sqrt (- 1.0 z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	432	868
1	1606	769
2	5002	761

prune171.0ms

Filtered

88 candidates to 58 candidates (65.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+`

Counts

2 → 25

Calls

2 calls:

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

series65.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (* 1.0 y) (+ (* x z) (* z y)))
31.0ms	(+ (* x z) (* z y))

simplify67.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	165	204
1	591	187
2	2183	179
3	5001	179

prune49.0ms

Filtered

31 candidates to 22 candidates (71.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	31	4	35

Merged error: 0b

Counts

35 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt (+ x y)) (- 1.0 z))
0.2b	(* (sqrt (+ x y)) (* (sqrt (+ x y)) (- 1.0 z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
32×	`frac-times`
21×	`flip3-+` `flip-+`
16×	`associate-*r/`
14×	`associate-l`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`flip3--` `flip--`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
9×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`sub-neg` `associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-lft-out` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 93

Calls

2 calls:

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

series131.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (sqrt (+ x y)) (- 1.0 z))
45.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) (- 1.0 z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	482	926
1	1931	822
2	5001	822

prune177.0ms

Filtered

99 candidates to 63 candidates (63.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	99	4	103

Merged error: 0b

Counts

103 → 4

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	9	3
1	9	3

end0.0ms

sample396.0ms

Algorithm

intervals

Results

198.0ms	10067×	body	80	valid
0.0ms	2×	body	1280	valid