Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

477×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	21	3
3	48	3
4	133	3
5	437	3
6	1917	3
7	5002	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* y y))
0.0b	(* x (exp (* y y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`exp-prod`
13×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `associate-l`
5×	`add-exp-log`
4×	`pow1` `add-cbrt-cube` `add-log-exp`
3×	`swap-sqr`
2×	`prod-exp` `*-commutative` `unswap-sqr`
1×	`exp-to-pow` `pow-prod-down` `cbrt-unprod` `rem-exp-log`

Counts

2 → 43

Calls

2 calls:

4.0ms	(exp (* y y))
9.0ms	(* x (exp (* y y)))

series46.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(exp (* y y))
35.0ms	(* x (exp (* y y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	134	168
1	455	152
2	2066	147
3	5002	147

prune67.0ms

Filtered

49 candidates to 34 candidates (30.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	1	50

Merged error: 0.0b

Counts

50 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (pow E (* y y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `prod-exp`
3×	`pow1` `associate-l` `add-cbrt-cube` `unswap-sqr`
2×	`pow-exp` `sqr-pow`
1×	`pow-to-exp` `e-exp-1` `pow-prod-down` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

9.0ms

(* x (pow E (* y y)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* x (pow E (* y y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	118	136
1	474	124
2	2199	124
3	5002	124

prune38.0ms

Filtered

30 candidates to 18 candidates (40.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	2	31

Merged error: 0b

Counts

31 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* y y) 2)
0.0b	(* (* x (pow E (/ (* y y) 2))) (sqrt (pow E (* y y))))
0.0b	(sqrt (pow E (* y y)))
0.0b	(* x (pow E (/ (* y y) 2)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-sqr-sqrt`
57×	`add-cube-cbrt` `*-un-lft-identity`
45×	`times-frac`
39×	`associate-r` `associate-l` `unswap-sqr`
27×	`add-exp-log`
26×	`sqrt-prod`
23×	`unpow-prod-down`
18×	`sqrt-pow1`
16×	`add-cbrt-cube`
15×	`pow-unpow` `swap-sqr` `associate-/l*` `sqr-pow`
14×	`prod-exp`
13×	`pow1`
8×	`*-commutative`
5×	`cbrt-unprod`
4×	`pow-prod-down` `pow-exp` `add-log-exp`
3×	`rem-sqrt-square` `associate-/r*`
2×	`cbrt-undiv` `pow-to-exp` `e-exp-1` `div-exp`
1×	`pow-pow` `frac-2neg` `pow1/2` `clear-num` `div-inv`

Counts

4 → 201

Calls

4 calls:

8.0ms	(/ (* y y) 2)
31.0ms	(* (* x (pow E (/ (* y y) 2))) (sqrt (pow E (* y y))))
5.0ms	(sqrt (pow E (* y y)))
19.0ms	(* x (pow E (/ (* y y) 2)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* y y) 2)
133.0ms	(* (* x (pow E (/ (* y y) 2))) (sqrt (pow E (* y y))))
28.0ms	(sqrt (pow E (* y y)))
62.0ms	(* x (pow E (/ (* y y) 2)))

simplify108.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	603	1463
1	3001	1288
2	5001	1220

prune370.0ms

Filtered

213 candidates to 135 candidates (36.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	213	2	215

Merged error: 0b

Counts

215 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt E) (cbrt E))
1.6b	(cbrt E)
1.6b	(cbrt E)
1.6b	(cbrt E)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

5.0ms	(* (cbrt E) (cbrt E))
1.0ms	(cbrt E)
1.0ms	(cbrt E)
1.0ms	(cbrt E)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (cbrt E) (cbrt E))
0.0ms	(cbrt E)
0.0ms	(cbrt E)
0.0ms	(cbrt E)

simplify115.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (109.0ms)

Iter	Nodes	Cost
0	89	316
1	308	286
2	1161	250
3	2724	247
4	5001	232

prune147.0ms

Filtered

80 candidates to 52 candidates (35.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	2	82

Merged error: 0b

Counts

82 → 2

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	17	8
2	17	8

end0.0ms

sample562.0ms

Algorithm

intervals

Results

311.0ms

16135×

body

valid