Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	320×	body	80	valid
0.0ms	1×	body	1280	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	44	3
2	99	3
3	181	3
4	233	3
5	239	3
6	239	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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) (+ z 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`flip3-+` `flip-+`
5×	`add-sqr-sqrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 34

Calls

1 calls:

8.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	273	200
1	1206	186
2	5001	186

prune59.0ms

Filtered

37 candidates to 27 candidates (27.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	3	38

Merged error: 0.0b

Counts

38 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
35×	`add-sqr-sqrt`
33×	`flip3-+` `flip-+`
32×	`frac-times`
26×	`associate-l`
21×	`-un-lft-identity` `associate-r*`
19×	`sqrt-prod`
16×	`associate-*l/`
14×	`unswap-sqr`
11×	`add-cube-cbrt`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`distribute-lft-out`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 107

Calls

2 calls:

9.0ms	(* (+ x y) (sqrt (+ z 1.0)))
18.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (+ x y) (sqrt (+ z 1.0)))
34.0ms	(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	461	1065
1	1658	918
2	5001	904

prune184.0ms

Filtered

113 candidates to 73 candidates (35.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
0.2b	(cbrt (+ z 1.0))
0.2b	(cbrt (+ z 1.0))
0.2b	(cbrt (+ z 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `cbrt-unprod` `log1p-expm1-u` `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`

Counts

4 → 106

Calls

4 calls:

10.0ms	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
3.0ms	(cbrt (+ z 1.0))
3.0ms	(cbrt (+ z 1.0))
3.0ms	(cbrt (+ z 1.0))

series377.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
88.0ms	(cbrt (+ z 1.0))
89.0ms	(cbrt (+ z 1.0))
91.0ms	(cbrt (+ z 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	331	855
1	1125	797
2	5001	724

prune309.0ms

Filtered

118 candidates to 83 candidates (29.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	118	3	121

Merged error: 0.0b

Counts

121 → 3

regimes100.0ms

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	10	3
1	10	3

end0.0ms

sample389.0ms

Algorithm

intervals

Results

196.0ms	10132×	body	80	valid
0.0ms	2×	body	1280	valid