Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	270×	body	80	valid
6.0ms	263×	body	80	nan

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	51	4
2	86	4
3	126	4
4	151	4
5	169	4
6	185	4
7	187	4
8	187	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt z) y x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

0.0ms

(fma (sqrt z) y x)

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(fma (sqrt z) y x)

simplify62.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (59.0ms)

Iter	Nodes	Cost
0	70	58
1	176	50
2	528	50
3	1813	46
4	5001	43

prune46.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* y (sqrt z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

2.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series77.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (* y (sqrt z)))
46.0ms	(* y (sqrt z))

simplify124.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	231	204
1	879	180
2	4188	173
3	5001	170

prune116.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
7.0ms	(* y (sqrt (sqrt z)))
22.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(sqrt (sqrt z))
142.0ms	(sqrt (sqrt z))
79.0ms	(* y (sqrt (sqrt z)))
42.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	351	549
1	1510	488
2	5001	461

prune258.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 z) -1/4)
0.1b	(sqrt (sqrt z))
0.2b	(* y (pow (/ 1 z) -1/4))
0.3b	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`*-un-lft-identity`
26×	`add-cube-cbrt` `associate-r`
20×	`times-frac`
19×	`prod-exp` `sqrt-prod`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `sqrt-pow1` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 127

Calls

4 calls:

4.0ms	(pow (/ 1 z) -1/4)
1.0ms	(sqrt (sqrt z))
17.0ms	(* y (pow (/ 1 z) -1/4))
23.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(pow (/ 1 z) -1/4)
141.0ms	(sqrt (sqrt z))
69.0ms	(* y (pow (/ 1 z) -1/4))
80.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	590	778
1	2623	697
2	5001	686

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample774.0ms

Algorithm

intervals

Results

222.0ms	8535×	body	80	valid
215.0ms	8500×	body	80	nan