Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	273×	body	80	valid
7.0ms	268×	body	80	nan

simplify18.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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)))
4.0ms	(* y (sqrt z))

series76.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (* y (sqrt z)))
45.0ms	(* y (sqrt z))

simplify125.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (121.0ms)

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

prune120.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite28.0ms

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:

1.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
17.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (sqrt z))
150.0ms	(sqrt (sqrt z))
82.0ms	(* y (sqrt (sqrt z)))
40.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (39.0ms)

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

prune260.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.2b	(* y (pow z 1/4))
0.3b	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-exp-log` `sqrt-prod`
16×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 91

Calls

4 calls:

2.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
1.0ms	(sqrt (sqrt z))
5.0ms	(* y (pow z 1/4))
11.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
134.0ms	(sqrt (sqrt z))
64.0ms	(* y (pow z 1/4))
82.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	498	609
1	2234	546
2	5002	539

prune297.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 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)))

rewrite48.0ms

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:

7.0ms	(pow (/ 1 z) -1/4)
1.0ms	(sqrt (sqrt z))
15.0ms	(* y (pow (/ 1 z) -1/4))
20.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(pow (/ 1 z) -1/4)
134.0ms	(sqrt (sqrt z))
59.0ms	(* y (pow (/ 1 z) -1/4))
84.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (57.0ms)

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

prune345.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample825.0ms

Algorithm

intervals

Results

249.0ms	8532×	body	80	valid
224.0ms	8322×	body	80	nan