Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	269×	body	80	valid
7.0ms	270×	body	80	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* y (sqrt z)))
49.0ms	(* y (sqrt z))

simplify119.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	219	188
1	829	168
2	3837	163
3	5001	161

prune97.0ms

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

rewrite23.0ms

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×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
10.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(sqrt (sqrt z))
138.0ms	(sqrt (sqrt z))
84.0ms	(* y (sqrt (sqrt z)))
47.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	336	516
1	1470	454
2	5002	427

prune235.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

3.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
2.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
8.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

series371.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
135.0ms	(sqrt (sqrt z))
84.0ms	(* y (sqrt (sqrt z)))
89.0ms	(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify68.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	513	603
1	2293	547
2	5001	547

prune258.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (sqrt (sqrt z)) (pow z 1/4))))
0.1b	(sqrt (sqrt z))
0.3b	(* y (* (sqrt (sqrt z)) (pow z 1/4)))
0.5b	(* (sqrt (sqrt z)) (pow z 1/4))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`sqrt-prod`
19×	`add-exp-log`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`pow1` `unswap-sqr`
8×	`associate-r`
7×	`sqrt-pow1`
6×	`unpow-prod-down` `add-log-exp`
4×	`cbrt-unprod` `sqr-pow`
3×	`pow1/2`
2×	`pow-to-exp` `rem-sqrt-square` `pow-exp` `*-commutative` `pow-prod-up`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 88

Calls

4 calls:

3.0ms	(+ x (* y (* (sqrt (sqrt z)) (pow z 1/4))))
2.0ms	(sqrt (sqrt z))
8.0ms	(* y (* (sqrt (sqrt z)) (pow z 1/4)))
8.0ms	(* (sqrt (sqrt z)) (pow z 1/4))

series546.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ x (* y (* (sqrt (sqrt z)) (pow z 1/4))))
135.0ms	(sqrt (sqrt z))
87.0ms	(* y (* (sqrt (sqrt z)) (pow z 1/4)))
265.0ms	(* (sqrt (sqrt z)) (pow z 1/4))

simplify66.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	540	734
1	2020	675
2	5002	675

prune257.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes220.0ms

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	13	5
1	13	5

end0.0ms

sample793.0ms

Algorithm

intervals

Results

233.0ms	8548×	body	80	valid
216.0ms	8428×	body	80	nan