Details

sample25.0ms

Algorithm

intervals

Results

14.0ms

331×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	42	6
3	49	6
4	55	6
5	61	6
6	63	6
7	63	6

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: 1.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
2.6b	(* (/ x y) z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-l/` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 117

Calls

3 calls:

10.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms	(/ (+ x 4.0) y)
6.0ms	(* (/ x y) z)

series91.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
29.0ms	(/ (+ x 4.0) y)
20.0ms	(* (/ x y) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	399	743
1	1422	683
2	5001	668

prune249.0ms

Filtered

126 candidates to 89 candidates (70.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.8b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
17.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series543.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
175.0ms	(cbrt y)
172.0ms	(cbrt y)
22.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify70.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	410	1005
1	2222	673
2	5001	526

prune208.0ms

Filtered

102 candidates to 62 candidates (60.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	102	5	107

Merged error: 0b

Counts

107 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
2.5b	(* (/ x y) (- 1 z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r`
4×	`pow1`
2×	`expm1-log1p-u` `frac-times` `sub-neg` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv` `distribute-lft-out--`

Counts

2 → 73

Calls

2 calls:

1.0ms	(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
10.0ms	(* (/ x y) (- 1 z))

series91.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
43.0ms	(* (/ x y) (- 1 z))

simplify41.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	402	603
1	1761	405
2	5002	402

prune137.0ms

Filtered

79 candidates to 45 candidates (57.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	79	5	84

Merged error: 0b

Counts

84 → 5

localize11.0ms

Local error

Found 1 expressions with local error:

3.6b	(/ (- (+ x 4.0) (* x z)) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

8.0ms

(/ (- (+ x 4.0) (* x z)) y)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ (- (+ x 4.0) (* x z)) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	171	262
1	603	241
2	2638	240
3	5001	238

prune66.0ms

Filtered

35 candidates to 28 candidates (80.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	35	5	40

Merged error: 0b

Counts

40 → 5

regimes65.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	16
1	19	16

end0.0ms

sample568.0ms

Algorithm

intervals

Results

359.0ms

10192×

body

valid