Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(/ x (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

23.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ x (+ x 1.0))
6.0ms	(/ 1.0 (- x 1.0))

series183.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
36.0ms	(/ x (+ x 1.0))
28.0ms	(/ 1.0 (- x 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	379	534
1	1365	507
2	5002	502

prune132.0ms

Filtered

96 candidates to 70 candidates (72.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Merged error: 0b

Counts

97 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.2b	(pow (/ 1.0 (- x 1.0)) 3)
17.1b	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
93×	`add-sqr-sqrt`
87×	`times-frac`
61×	`add-cube-cbrt`
48×	`cbrt-prod`
42×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
6×	`div-inv` `associate-/l*`
5×	`pow1` `flip3--` `flip--`
4×	`distribute-lft-out` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `div-exp`
2×	`cube-div` `cube-mult` `frac-2neg` `unpow3` `pow-exp` `clear-num` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `flip3-+` `pow1/3` `rem-cbrt-cube` `flip-+`

Counts

4 → 190

Calls

4 calls:

5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
8.0ms	(pow (/ 1.0 (- x 1.0)) 3)
9.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

series144.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ x (+ x 1.0))
27.0ms	(/ 1.0 (- x 1.0))
52.0ms	(pow (/ 1.0 (- x 1.0)) 3)
29.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	629	1214
1	2894	1120
2	5001	1110

prune266.0ms

Filtered

202 candidates to 110 candidates (54.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	202	2	204

Merged error: 0b

Counts

204 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
0.0b	(/ x (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
2.3b	(log (exp (/ x (+ x 1.0))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
39×	`times-frac`
33×	`add-cube-cbrt`
20×	`log-pow`
18×	`exp-prod`
9×	`associate-/r*` `distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `log-prod` `associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`associate-+r+` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3--` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 116

Calls

4 calls:

34.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
7.0ms	(log (exp (/ x (+ x 1.0))))

series223.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ (/ 1.0 (- x 1.0)) (log (exp (/ x (+ x 1.0)))))
39.0ms	(/ x (+ x 1.0))
28.0ms	(/ 1.0 (- x 1.0))
34.0ms	(log (exp (/ x (+ x 1.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	423	702
1	1403	652
2	5002	643

prune219.0ms

Filtered

128 candidates to 97 candidates (75.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	128	2	130

Merged error: 0b

Counts

130 → 2

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample289.0ms

Algorithm

intervals

Results

204.0ms

8000×

body

valid

Details

sample13.0ms

simplify5.0ms

prune2.0ms

localize9.0ms

rewrite37.0ms

series183.0ms

simplify42.0ms

prune132.0ms

localize11.0ms

rewrite35.0ms

series144.0ms

simplify79.0ms

prune266.0ms

localize9.0ms

rewrite56.0ms

series223.0ms

simplify44.0ms

prune219.0ms

regimes11.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample289.0ms

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