Details

analyze277.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

sample73.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5257	9

prune5.0ms

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: 30.8b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sqrt (- (* x x) 1.0)))
0.0b	(- (* x x) 1.0)
0.0b	(log (+ x (sqrt (- (* x x) 1.0))))
28.6b	(sqrt (- (* x x) 1.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-log-exp`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log`
4×	`log-prod` `sqrt-prod` `add-cbrt-cube`
2×	`log-div` `flip3--` `flip3-+` `sqrt-div` `flip--` `flip-+` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `rem-log-exp` `sum-log` `log-pow`

Counts

4 → 55

Calls

4 calls:

6.0ms	(+ x (sqrt (- (* x x) 1.0)))
4.0ms	(- (* x x) 1.0)
6.0ms	(log (+ x (sqrt (- (* x x) 1.0))))
4.0ms	(sqrt (- (* x x) 1.0))

series27.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ x (sqrt (- (* x x) 1.0)))
4.0ms	(- (* x x) 1.0)
14.0ms	(log (+ x (sqrt (- (* x x) 1.0))))
4.0ms	(sqrt (- (* x x) 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4922	726
1	4922	726

prune109.0ms

Filtered

54 candidates to 67 candidates (-24.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	2	68

Merged error: 0b

Counts

68 → 2

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.0b	(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
0.5b	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`sqrt-prod`
12×	`*-un-lft-identity` `sqrt-div`
9×	`associate-r`
8×	`pow1` `add-cube-cbrt`
7×	`associate-l`
6×	`add-exp-log`
5×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
4×	`frac-times` `unswap-sqr`
3×	`log-prod` `flip3--` `pow-prod-down` `flip--`
2×	`log-div` `sqrt-pow1` `pow1/2` `associate-r/` `associate-l/` `difference-of-squares`
1×	`+-commutative` `sqrt-unprod` `rem-log-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

3.0ms	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
2.0ms	(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
14.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series32.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
13.0ms	(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
11.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4963	1255
1	4963	1255

prune174.0ms

Filtered

58 candidates to 76 candidates (-31.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (- (* x x) 1.0)))
0.3b	(* (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))))
29.6b	(cbrt (- (* x x) 1.0))
29.6b	(cbrt (- (* x x) 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`cbrt-prod`
16×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `sqrt-div` `flip--` `add-log-exp` `difference-of-squares`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

5.0ms	(sqrt (cbrt (- (* x x) 1.0)))
9.0ms	(* (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))))
7.0ms	(cbrt (- (* x x) 1.0))
4.0ms	(cbrt (- (* x x) 1.0))

series56.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (cbrt (- (* x x) 1.0)))
20.0ms	(* (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))))
12.0ms	(cbrt (- (* x x) 1.0))
12.0ms	(cbrt (- (* x x) 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4960	1348
1	4960	1348

prune220.0ms

Filtered

79 candidates to 90 candidates (-13.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Merged error: 0b

Counts

92 → 2

regimes27.0ms

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	23	14
1	23	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

289.0ms

8000×

body

valid

Details

analyze277.0ms

sample73.0ms

simplify64.0ms

prune5.0ms

localize17.0ms

rewrite22.0ms

series27.0ms

simplify56.0ms

prune109.0ms

localize21.0ms

rewrite21.0ms

series32.0ms

simplify42.0ms

prune174.0ms

localize22.0ms

rewrite27.0ms

series56.0ms

simplify54.0ms

prune220.0ms

regimes27.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling