Details

analyze790.0ms

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

sample79.0ms

Algorithm

intervals

Results

37.0ms	90×	body	2560	valid
19.0ms	71×	body	1280	valid
10.0ms	51×	body	640	valid
4.0ms	29×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	7×	body	80	valid
0.0ms	1×	body	80	nan

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5797	14

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: 0.3b

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))
0.3b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite15.0ms

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:

7.0ms	(/ (- 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)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (- 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)))

simplify61.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4960	1050
1	4960	1050

prune106.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.3b

Counts

73 → 3

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0))
0.3b	(acos (/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0)))
2.0b	(log (pow (exp 5.0) (* v v)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
20×	`times-frac`
16×	`add-cube-cbrt`
11×	`difference-of-squares`
7×	`log-prod`
6×	`add-exp-log`
5×	`add-cbrt-cube` `associate-/l*` `distribute-lft-out--`
4×	`associate-/r*`
3×	`pow1` `unpow-prod-down` `rem-log-exp` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `pow-to-exp` `frac-2neg` `div-sub` `div-exp` `pow-exp` `clear-num` `log-pow` `div-inv` `sqr-pow`

Counts

3 → 72

Calls

3 calls:

9.0ms	(/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0))
1.0ms	(acos (/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0)))
3.0ms	(log (pow (exp 5.0) (* v v)))

series62.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0))
3.0ms	(acos (/ (- 1.0 (log (pow (exp 5.0) (* v v)))) (- (* v v) 1.0)))
44.0ms	(log (pow (exp 5.0) (* v v)))

simplify68.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5044	1335

prune123.0ms

Filtered

59 candidates to 81 candidates (-37.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0.3b

Counts

84 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 83

Calls

4 calls:

1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
6.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
8.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
8.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4864	1466
1	4864	1466

prune128.0ms

Filtered

48 candidates to 95 candidates (-97.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0.3b

Counts

98 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(* (pow (sqrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 3) (sqrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
63×	`add-sqr-sqrt`
24×	`associate-l` `unswap-sqr`
18×	`unpow-prod-down` `cube-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `associate-r`
7×	`pow1`
6×	`add-cbrt-cube`
4×	`add-log-exp` `sqr-pow`
3×	`prod-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`acos-asin` `cube-mult` `pow-to-exp` `pow-plus` `unpow3` `pow-exp` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
11.0ms	(* (pow (sqrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 3) (sqrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
10.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
8.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(* (pow (sqrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 3) (sqrt (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))))

simplify73.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4845	2390
1	4845	2390

prune165.0ms

Filtered

54 candidates to 117 candidates (-116.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	116	7	123

Merged error: 0.3b

Counts

123 → 7

regimes270.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	16
1	29	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	2993×	body	2560	valid
680.0ms	2501×	body	1280	valid
265.0ms	1297×	body	640	valid
90.0ms	609×	body	320	valid
40.0ms	394×	body	160	valid
12.0ms	206×	body	80	valid
0.0ms	6×	body	80	nan

Details

analyze790.0ms

sample79.0ms

simplify88.0ms

prune2.0ms

localize7.0ms

rewrite15.0ms

series11.0ms

simplify61.0ms

prune106.0ms

localize15.0ms

rewrite15.0ms

series62.0ms

simplify68.0ms

prune123.0ms

localize10.0ms

rewrite11.0ms

series21.0ms

simplify62.0ms

prune128.0ms

localize13.0ms

rewrite19.0ms

series23.0ms

simplify73.0ms

prune165.0ms

regimes270.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

Profiling