Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
5.0ms	222×	pre	80	false
5.0ms	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

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: 8.7b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
7.9b	(- (/ x0 (- 1.0 x1)) x0)

rewrite22.0ms

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:

9.0ms	(/ x0 (- 1.0 x1))
11.0ms	(- (/ x0 (- 1.0 x1)) x0)

series77.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ x0 (- 1.0 x1))
43.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify97.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	244	328
1	801	315
2	3109	310
3	5001	310

prune83.0ms

Filtered

58 candidates to 44 candidates (75.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 7.7b

Counts

59 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))
1.0b	(/ x0 (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
7.4b	(- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
34×	`times-frac`
26×	`add-cube-cbrt`
20×	`sqrt-prod` `difference-of-squares`
12×	`distribute-lft-out--`
11×	`associate-r`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`pow1` `flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-/r/`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `div-exp` `associate-l/` `clear-num` `div-inv` `distribute-lft-out`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

37.0ms	(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))
5.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
16.0ms	(- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))

series309.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))
33.0ms	(/ x0 (- 1.0 x1))
34.0ms	(/ x0 (- 1.0 x1))
69.0ms	(- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))

simplify64.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	459	1265
1	2078	1135
2	5002	1115

prune285.0ms

Filtered

146 candidates to 104 candidates (71.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	146	2	148

Merged error: 6.2b

Counts

148 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))) (- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))
6.2b	(- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))
7.4b	(- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))
7.9b	(+ (/ x0 (- 1.0 x1)) (neg x0))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-sqr-sqrt`
66×	`sqrt-prod`
60×	`difference-of-squares`
42×	`unpow-prod-down` `cube-prod`
36×	`*-un-lft-identity`
16×	`times-frac`
14×	`sqr-pow`
13×	`distribute-lft-out--`
12×	`add-log-exp`
11×	`associate-r`
10×	`associate-*l/`
8×	`frac-times`
7×	`flip3--` `flip3-+` `flip--` `flip-+`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `sqrt-div` `frac-add` `add-cbrt-cube`
4×	`sub-neg`
3×	`associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-*r/` `sum-log` `distribute-lft-out`
1×	`difference-cubes` `+-commutative` `neg-sub0` `associate-+r-` `distribute-rgt-neg-in` `unsub-neg` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

31.0ms	(* (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))) (- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))
52.0ms	(- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))
18.0ms	(- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))
15.0ms	(+ (/ x0 (- 1.0 x1)) (neg x0))

series487.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))) (- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))
113.0ms	(- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))
61.0ms	(- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))
45.0ms	(+ (/ x0 (- 1.0 x1)) (neg x0))

simplify106.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	781	2534
1	3656	2391
2	5002	2389

prune380.0ms

Filtered

163 candidates to 89 candidates (54.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	163	2	165

Merged error: 4.9b

Counts

165 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
6.2b	(- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))
7.0b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))
7.4b	(- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-sqr-sqrt`
59×	`difference-of-squares`
57×	`sqrt-prod`
44×	`*-un-lft-identity`
42×	`unpow-prod-down` `cube-prod`
29×	`times-frac`
15×	`distribute-lft-out--`
14×	`add-cube-cbrt` `sqr-pow`
10×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `flip3--` `flip--`
3×	`sub-neg` `diff-log` `associate-/l*`
2×	`associate-/r/`
1×	`difference-cubes` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 140

Calls

4 calls:

5.0ms	(/ x0 (- 1.0 x1))
52.0ms	(- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))
12.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))
19.0ms	(- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))

series283.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x0 (- 1.0 x1))
113.0ms	(- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))
74.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))
63.0ms	(- (sqrt (/ x0 (- 1.0 x1))) (sqrt x0))

simplify68.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	569	1717
1	2124	1637
2	5001	1636

prune409.0ms

Filtered

152 candidates to 86 candidates (56.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	152	2	154

Merged error: 4.9b

Counts

154 → 2

regimes39.0ms

Accuracy

0% (0.8b remaining)

Error of 5.5b against oracle of 4.7b and baseline of 5.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	43
1	33	43
2	33	43

end0.0ms

sample781.0ms

Algorithm

intervals

Results

204.0ms	8114×	pre	80	false
194.0ms	8000×	pre	80	true
138.0ms	8000×	body	80	valid

Details

sample29.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite22.0ms

series77.0ms

simplify97.0ms

prune83.0ms

localize8.0ms

rewrite68.0ms

series309.0ms

simplify64.0ms

prune285.0ms

localize19.0ms

rewrite125.0ms

series487.0ms

simplify106.0ms

prune380.0ms

localize22.0ms

rewrite95.0ms

series283.0ms

simplify68.0ms

prune409.0ms

regimes39.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample781.0ms

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