Details

sample300.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
9.0ms	262×	body	80	nan

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	19	6
2	21	6
3	21	6

prune4.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

3 → 91

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
8.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms	(/ (- 1.0 x) (+ 1.0 x))

series155.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
94.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
57.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	354	753
1	1071	709
2	5001	690

prune185.0ms

Filtered

100 candidates to 70 candidates (70.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

1144×	`times-frac`
1015×	`*-un-lft-identity`
954×	`sqrt-prod`
704×	`add-sqr-sqrt`
461×	`add-cube-cbrt`
164×	`distribute-lft-out`
113×	`distribute-lft-out--` `difference-of-squares`
46×	`associate-/l*`
37×	`sqrt-div`
36×	`associate-/r/`
18×	`flip3-+` `flip-+` `div-inv`
14×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
7×	`rem-sqrt-square`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`flip3--` `sqrt-pow1` `pow1/2` `flip--`

Counts

4 → 734

Calls

4 calls:

1.0ms	(atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))
41.0ms	(sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))
22.0ms	(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))
9.0ms	(/ (- 1.0 x) (sqrt (+ 1.0 x)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan (sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))))
90.0ms	(sqrt (/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))))
36.0ms	(/ (/ (- 1.0 x) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))
95.0ms	(/ (- 1.0 x) (sqrt (+ 1.0 x)))

simplify180.0ms

Algorithm

egg-herbie

Counts

746 → 746

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	1201	12125
1	4029	10861
2	5001	10705

prune694.0ms

Filtered

746 candidates to 227 candidates (30.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	746	0	746
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	746	2	748

Merged error: 0b

Counts

748 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (log (/ (- 1.0 x) (+ 1.0 x)))))
0.0b	(atan (sqrt (exp (log (/ (- 1.0 x) (+ 1.0 x))))))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
4.3b	(log (/ (- 1.0 x) (+ 1.0 x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
61×	`times-frac`
54×	`log-prod`
37×	`add-cube-cbrt`
29×	`sqrt-prod`
28×	`exp-sum`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/` `add-cbrt-cube`
5×	`sqrt-pow1` `associate-/l*`
4×	`exp-prod` `associate-/r*` `add-log-exp`
3×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `pow1/2` `exp-diff` `sqrt-div` `div-sub` `clear-num` `flip--`

Counts

4 → 136

Calls

4 calls:

11.0ms	(sqrt (exp (log (/ (- 1.0 x) (+ 1.0 x)))))
1.0ms	(atan (sqrt (exp (log (/ (- 1.0 x) (+ 1.0 x))))))
8.0ms	(/ (- 1.0 x) (+ 1.0 x))
7.0ms	(log (/ (- 1.0 x) (+ 1.0 x)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sqrt (exp (log (/ (- 1.0 x) (+ 1.0 x)))))
2.0ms	(atan (sqrt (exp (log (/ (- 1.0 x) (+ 1.0 x))))))
32.0ms	(/ (- 1.0 x) (+ 1.0 x))
129.0ms	(log (/ (- 1.0 x) (+ 1.0 x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	511	1271
1	1589	1188
2	5002	1153

prune298.0ms

Filtered

148 candidates to 100 candidates (67.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	148	2	150

Merged error: 0b

Counts

150 → 2

regimes23.0ms

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	13	10
1	13	10

end0.0ms

sample880.0ms

Algorithm

intervals

Results

388.0ms	8000×	body	80	valid
275.0ms	8094×	body	80	nan

Details

sample300.0ms

simplify12.0ms

prune4.0ms

localize10.0ms

rewrite23.0ms

series155.0ms

simplify43.0ms

prune185.0ms

localize10.0ms

rewrite139.0ms

series223.0ms

simplify180.0ms

prune694.0ms

localize10.0ms

rewrite32.0ms

series257.0ms

simplify57.0ms

prune298.0ms

regimes23.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample880.0ms

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