Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	273×	body	80	valid
6.0ms	241×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
0.2b	(* y (sqrt z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`pow1`
4×	`sqrt-prod` `unswap-sqr`
3×	`prod-exp` `cbrt-unprod`
2×	`frac-times` `flip3-+` `associate-r/` `pow-prod-down` `-commutative` `flip-+` `add-log-exp`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

2 → 60

Calls

2 calls:

12.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
5.0ms	(* y (sqrt z))

series91.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
46.0ms	(* y (sqrt z))

simplify54.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	476	419
1	2006	372
2	5002	367

prune159.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt z))
0.2b	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
31×	`sqrt-prod`
21×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
17×	`associate-l`
16×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
10×	`times-frac`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative`
2×	`frac-times` `rem-sqrt-square` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
12.0ms	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
9.0ms	(* y (sqrt (sqrt z)))
17.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(sqrt (sqrt z))
50.0ms	(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
81.0ms	(* y (sqrt (sqrt z)))
40.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	664	870
1	2953	718
2	5003	705

prune284.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* (/ 1.0 2.0) y) (sqrt z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-r`
5×	`prod-exp` `cbrt-unprod`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `sqrt-prod`
2×	`associate-*l/`
1×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

14.0ms

(* (* (/ 1.0 2.0) y) (sqrt z))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(* (* (/ 1.0 2.0) y) (sqrt z))

simplify33.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	239	172
1	1096	139
2	5002	134

prune72.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (fabs (cbrt z)))
0.3b	(* (* (/ 1.0 2.0) (* y (fabs (cbrt z)))) (sqrt (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
13×	`add-sqr-sqrt`
12×	`associate-r` `prod-exp` `cbrt-unprod`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
7×	`pow-prod-down`
6×	`sqrt-prod`
4×	`associate-l` `add-log-exp`
2×	`cbrt-undiv` `pow1/3` `div-exp` `associate-l/` `-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* y (fabs (cbrt z)))
46.0ms	(* (* (/ 1.0 2.0) (* y (fabs (cbrt z)))) (sqrt (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series538.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (fabs (cbrt z)))
105.0ms	(* (* (/ 1.0 2.0) (* y (fabs (cbrt z)))) (sqrt (cbrt z)))
172.0ms	(cbrt z)
237.0ms	(cbrt z)

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	342	564
1	1872	466
2	5002	460

prune234.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes169.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample785.0ms

Algorithm

intervals

Results

240.0ms	8555×	body	80	valid
219.0ms	8501×	body	80	nan