Details

analyze786.0ms

Algorithm: search

sample81.0ms

Algorithm

intervals

Results

37.0ms	96×	body	2560	valid
22.0ms	83×	body	1280	valid
7.0ms	35×	body	640	valid
4.0ms	28×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	4×	body	80	valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	42	7
2	77	7
3	146	7
4	242	7
5	417	7
6	2789	7
7	5002	7

prune2.0ms

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: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-log-exp`
1×	`acos-asin` `associate-r` `*-commutative` `unswap-sqr`

Counts

2 → 27

Calls

2 calls:

5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series6.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify110.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	119	184
1	350	154
2	945	154
3	3243	154
4	5001	154

prune52.0ms

Filtered

21 candidates to 33 candidates (-57.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Merged error: 0.4b

Counts

34 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.1b	(* 5.0 (* v v))
0.5b	(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`asin-acos` `difference-of-squares`
1×	`sub-neg` `flip3--` `times-frac` `diff-log` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

7.0ms	(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
5.0ms	(* 5.0 (* v v))
1.0ms	(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- (/ PI 2) (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(* 5.0 (* v v))
3.0ms	(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	195	437
1	533	403
2	1403	403
3	5002	403

prune80.0ms

Filtered

34 candidates to 52 candidates (-52.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	52	4	56

Merged error: 0.4b

Counts

56 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.5b	(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b	(cbrt (pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
1.0b	(pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `asin-acos` `pow-pow` `pow1/3` `associate-r` `pow-exp` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

6.0ms	(* 5.0 (* v v))
1.0ms	(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.0ms	(cbrt (pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
3.0ms	(pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (* v v))
3.0ms	(asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms	(cbrt (pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
18.0ms	(pow (asin (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)

simplify147.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	205	750
1	704	692
2	3772	686
3	5001	686

prune305.0ms

Filtered

43 candidates to 83 candidates (-93.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Merged error: 0.4b

Counts

87 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.1b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-exp-log`
9×	`add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`log-prod`
4×	`exp-prod` `add-log-exp`
3×	`associate-l` `exp-sum` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-pow`
1×	`acos-asin` `rem-log-exp` `associate-r` `*-commutative` `rem-exp-log` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

1.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
2.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
8.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify115.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	156	537
1	407	466
2	1036	448
3	3485	442
4	5001	442

prune85.0ms

Filtered

40 candidates to 66 candidates (-65.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	65	5	70

Merged error: 0.4b

Counts

70 → 5

regimes145.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

analyze788.0ms

Algorithm: search

sample2.4s

Algorithm

intervals

Results

1.2s	2997×	body	2560	valid
659.0ms	2457×	body	1280	valid
263.0ms	1287×	body	640	valid
98.0ms	656×	body	320	valid
41.0ms	390×	body	160	valid
14.0ms	213×	body	80	valid
0.0ms	10×	body	80	nan

Details

analyze786.0ms

sample81.0ms

simplify95.0ms

prune2.0ms

localize7.0ms

rewrite7.0ms

series6.0ms

simplify110.0ms

prune52.0ms

localize10.0ms

rewrite14.0ms

series11.0ms

simplify44.0ms

prune80.0ms

localize14.0ms

rewrite13.0ms

series27.0ms

simplify147.0ms

prune305.0ms

localize11.0ms

rewrite13.0ms

series35.0ms

simplify115.0ms

prune85.0ms

regimes145.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze788.0ms

sample2.4s

Profiling