Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	124×	pre	10240	exit
5.0ms	132×	pre	80	true
4.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	12	3
2	12	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize4.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.7b	(- (/ x0 (- 1.0 x1)) x0)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

10.0ms	(/ x0 (- 1.0 x1))
52.0ms	(- (/ x0 (- 1.0 x1)) x0)

series72.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ x0 (- 1.0 x1))
38.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify91.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	244	328
1	801	315
2	3123	310
3	5001	310

prune82.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.4b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
34×	`add-cube-cbrt`
15×	`associate-/r*`
13×	`difference-of-squares`
12×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 124

Calls

4 calls:

10.0ms	(/ x0 (- 1.0 x1))
10.0ms	(/ x0 (- 1.0 x1))
13.0ms	(/ x0 (- 1.0 x1))
21.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series168.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ x0 (- 1.0 x1))
36.0ms	(/ x0 (- 1.0 x1))
31.0ms	(/ x0 (- 1.0 x1))
69.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify158.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	288	828
1	1116	773
2	4811	759
3	5001	759

prune232.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (/ x0 (- 1.0 x1)) x0)
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.4b	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
24×	`add-cube-cbrt`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

38.0ms	(+ (/ x0 (- 1.0 x1)) x0)
11.0ms	(/ x0 (- 1.0 x1))
10.0ms	(/ x0 (- 1.0 x1))
43.0ms	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

series164.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (/ x0 (- 1.0 x1)) x0)
30.0ms	(/ x0 (- 1.0 x1))
34.0ms	(/ x0 (- 1.0 x1))
64.0ms	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify39.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	359	759
1	1399	707
2	5001	665

prune220.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
0.9b	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
6.4b	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 54

Calls

4 calls:

23.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
24.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
24.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
45.0ms	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

series442.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
122.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
126.0ms	(cbrt (+ (/ x0 (- 1.0 x1)) x0))
66.0ms	(- (* (/ (/ x0 (sqrt (- 1.0 x1))) (sqrt (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify124.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	320	789
1	1148	710
2	4976	627
3	5001	627

prune202.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 5.0b

regimes37.0ms

Accuracy

0% (1.0b remaining)

Error of 5.7b against oracle of 4.7b and baseline of 5.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	26
1	19	26

end0.0ms

sample694.0ms

Algorithm

intervals

Results

337.0ms	4025×	pre	10240	exit
125.0ms	8000×	body	80	valid
55.0ms	3975×	pre	80	true