Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

326×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	62	3
3	164	3
4	320	3
5	438	3
6	600	3
7	831	3
8	1451	3
9	2357	3
10	2545	3
11	2545	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))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

9.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	397	499
1	1589	357
2	5001	356

prune78.0ms

Filtered

56 candidates to 29 candidates (51.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	4	57

Merged error: 0b

Counts

57 → 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)))

rewrite29.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
1×	`distribute-lft-out`

Counts

2 → 86

Calls

2 calls:

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

series102.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))
71.0ms	(* (+ x y) (sqrt (- 1.0 z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	448	885
1	1664	785
2	5001	782

prune197.0ms

Filtered

92 candidates to 64 candidates (69.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	4	96

Merged error: 0b

Counts

96 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma 1.0 y (- (fma x z (* z y))))
1.0ms	(fma x z (* z y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(fma 1.0 y (- (fma x z (* z y))))
30.0ms	(fma x z (* z y))

simplify69.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	116
1	113	102
2	436	102
3	2118	102
4	5003	102

prune48.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	26	4	30

Merged error: 0b

Counts

30 → 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)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt` `*-un-lft-identity`
43×	`add-cube-cbrt`
42×	`sqrt-div`
32×	`frac-times`
21×	`flip3-+` `flip-+`
16×	`associate-*r/`
14×	`associate-l`
12×	`flip3--` `flip--`
10×	`associate-*l/`
9×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
6×	`sub-neg` `associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 151

Calls

2 calls:

10.0ms	(* (sqrt (+ x y)) (- 1.0 z))
20.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) (- 1.0 z)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* (sqrt (+ x y)) (- 1.0 z))
40.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) (- 1.0 z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	647	1839
1	2695	1387
2	5002	1380

prune208.0ms

Filtered

157 candidates to 71 candidates (45.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	157	4	161

Merged error: 0b

Counts

161 → 4

regimes107.0ms

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