Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	272×	body	80	valid
7.0ms	272×	body	80	nan

simplify15.0ms

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: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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:

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* y (sqrt z)))
41.0ms	(* y (sqrt z))

simplify118.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	219	188
1	829	168
2	3837	161
3	5002	161

prune94.0ms

Pruning

8 alts after pruning (7 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)))

rewrite33.0ms

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:

1.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
7.0ms	(* y (sqrt (sqrt z)))
20.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (sqrt z))
138.0ms	(sqrt (sqrt z))
80.0ms	(* y (sqrt (sqrt z)))
40.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (40.0ms)

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

prune234.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod`
16×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod`
3×	`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 → 80

Calls

4 calls:

2.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
1.0ms	(sqrt (sqrt z))
9.0ms	(* y (pow z 1/4))
12.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
136.0ms	(sqrt (sqrt z))
57.0ms	(* y (pow z 1/4))
83.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	477	569
1	2150	510
2	5001	509

prune256.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
45×	`prod-exp`
30×	`unpow-prod-down`
28×	`add-sqr-sqrt`
27×	`pow-exp`
24×	`associate-r`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
12×	`pow-to-exp`
11×	`add-cbrt-cube`
10×	`div-exp`
6×	`pow1` `add-log-exp`
5×	`rec-exp` `1-exp`
4×	`associate-l` `cbrt-unprod` `sqr-pow`
3×	`pow-unpow` `pow-pow` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 120

Calls

4 calls:

2.0ms	(+ x (* (* y (pow z 1/4)) (pow (/ 1 z) -1/4)))
4.0ms	(pow (/ 1 z) -1/4)
6.0ms	(* y (pow z 1/4))
22.0ms	(* (* y (pow z 1/4)) (pow (/ 1 z) -1/4))

series324.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (* (* y (pow z 1/4)) (pow (/ 1 z) -1/4)))
175.0ms	(pow (/ 1 z) -1/4)
63.0ms	(* y (pow z 1/4))
45.0ms	(* (* y (pow z 1/4)) (pow (/ 1 z) -1/4))

simplify73.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	574	754
1	2545	680
2	5001	654

prune263.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes238.0ms

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

sample816.0ms

Algorithm

intervals

Results

244.0ms	8546×	body	80	valid
223.0ms	8377×	body	80	nan