Details

analyze810.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

sample77.0ms

Algorithm

intervals

Results

34.0ms	86×	body	2560	valid
20.0ms	76×	body	1280	valid
10.0ms	50×	body	640	valid
3.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid
1.0ms	10×	body	80	valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5797	14

prune3.0ms

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: 0.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

8.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series12.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- 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)))

simplify68.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4960	1050
1	4960	1050

prune112.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.5b

Counts

73 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3))
0.0b	(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
0.2b	(* 5.0 (* v v))
0.5b	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
48×	`times-frac`
42×	`cbrt-prod`
39×	`add-cube-cbrt` `*-un-lft-identity`
36×	`unpow-prod-down` `cube-prod`
12×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
10×	`pow1`
8×	`associate-/r/`
4×	`flip3--` `flip--` `div-inv` `add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-div` `cube-mult` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `acos-asin` `pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `div-exp` `associate-r` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 135

Calls

4 calls:

10.0ms	(cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3))
9.0ms	(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
5.0ms	(* 5.0 (* v v))
1.0ms	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3))
7.0ms	(pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)
3.0ms	(* 5.0 (* v v))
3.0ms	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)) 3)))

simplify65.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5648	2878

prune161.0ms

Filtered

73 candidates to 147 candidates (-101.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	147	4	151

Merged error: 0.5b

Counts

151 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* v (* (+ v (pow v 3)) 4.0))
0.5b	(acos (- (* v (* (+ v (pow v 3)) 4.0)) 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `associate-l/` `add-log-exp`
1×	`acos-asin` `flip3-+` `associate-r` `*-commutative` `flip-+`

Counts

2 → 28

Calls

2 calls:

9.0ms	(* v (* (+ v (pow v 3)) 4.0))
1.0ms	(acos (- (* v (* (+ v (pow v 3)) 4.0)) 1.0))

series13.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(* v (* (+ v (pow v 3)) 4.0))
4.0ms	(acos (- (* v (* (+ v (pow v 3)) 4.0)) 1.0))

simplify29.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5085	382

prune54.0ms

Filtered

21 candidates to 34 candidates (-61.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	34	4	38

Merged error: 0.5b

Counts

38 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
1.0b	(pow (acos (/ (- 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×	`acos-asin` `pow-to-exp` `pow-pow` `pow1/3` `associate-r` `pow-exp` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

5.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
3.0ms	(pow (acos (/ (- 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	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3))
18.0ms	(pow (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5256	1250

prune90.0ms

Filtered

43 candidates to 83 candidates (-93.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	83	4	87

Merged error: 0.5b

Counts

87 → 4

regimes155.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	17
1	55	17

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	2965×	body	2560	valid
704.0ms	2517×	body	1280	valid
260.0ms	1241×	body	640	valid
99.0ms	657×	body	320	valid
43.0ms	414×	body	160	valid
13.0ms	206×	body	80	valid
0.0ms	10×	body	80	nan

Details

analyze810.0ms

sample77.0ms

simplify95.0ms

prune3.0ms

localize7.0ms

rewrite16.0ms

series12.0ms

simplify68.0ms

prune112.0ms

localize10.0ms

rewrite30.0ms

series19.0ms

simplify65.0ms

prune161.0ms

localize10.0ms

rewrite11.0ms

series13.0ms

simplify29.0ms

prune54.0ms

localize11.0ms

rewrite13.0ms

series27.0ms

simplify65.0ms

prune90.0ms

regimes155.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling