Details

sample96.0ms

Algorithm

intervals

Results

39.0ms	101×	body	2560	valid
24.0ms	92×	body	1280	valid
12.0ms	251×	body	80	nan
6.0ms	32×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	6×	body	160	valid
0.0ms	8×	body	80	valid

simplify100.0ms

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

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: 0.5b

Counts

2 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 5.0 (* v v)))
0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

3.0ms	(- 1.0 (* 5.0 (* v v)))
8.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- 1.0 (* 5.0 (* v v)))
79.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
28.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	355	664
1	1356	609
2	5001	605

prune143.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Merged error: 0.5b

Counts

88 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
1.7b	(log (exp (* 5.0 (* v v))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

11.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.0ms	(log (exp (* 5.0 (* v v))))

series140.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
28.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
25.0ms	(log (exp (* 5.0 (* v v))))

simplify42.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	381	974
1	1371	861
2	5002	842

prune186.0ms

Filtered

104 candidates to 71 candidates (68.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	104	4	108

Merged error: 0.5b

Counts

108 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ PI 2) (asin (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))))
0.1b	(* 5.0 (* v v))
0.5b	(asin (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
1.7b	(log (exp (* 5.0 (* v v))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

7.0ms	(- (/ PI 2) (asin (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))))
6.0ms	(* 5.0 (* v v))
1.0ms	(asin (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.0ms	(log (exp (* 5.0 (* v v))))

series86.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ PI 2) (asin (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))))
28.0ms	(* 5.0 (* v v))
4.0ms	(asin (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
24.0ms	(log (exp (* 5.0 (* v v))))

simplify45.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	215	565
1	588	501
2	1502	499
3	5001	499

prune135.0ms

Filtered

69 candidates to 47 candidates (68.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	69	4	73

Merged error: 0.5b

Counts

73 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (pow v 2))
0.5b	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
1.0b	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3))
1.0b	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod`
10×	`add-exp-log` `unpow-prod-down`
8×	`associate-r`
7×	`add-cbrt-cube`
6×	`cube-prod`
5×	`pow1`
4×	`add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow-unpow` `associate-l` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `unpow2`
1×	`acos-asin` `pow-pow` `pow1/3` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 79

Calls

4 calls:

6.0ms	(* 5.0 (pow v 2))
1.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
2.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3))
6.0ms	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

series81.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 5.0 (pow v 2))
4.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
4.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3))
46.0ms	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

simplify37.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	206	777
1	782	719
2	5001	713

prune136.0ms

Filtered

91 candidates to 49 candidates (53.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	2	2
Picked	0	1	1
Done	1	0	1
Total	90	5	95

Merged error: 0.5b

Counts

95 → 5

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	12
1	16	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2991×	body	2560	valid
683.0ms	2539×	body	1280	valid
303.0ms	8162×	body	80	nan
248.0ms	1265×	body	640	valid
88.0ms	603×	body	320	valid
41.0ms	388×	body	160	valid
12.0ms	214×	body	80	valid

Details

sample96.0ms

simplify100.0ms

prune2.0ms

localize7.0ms

rewrite20.0ms

series165.0ms

simplify41.0ms

prune143.0ms

localize9.0ms

rewrite23.0ms

series140.0ms

simplify42.0ms

prune186.0ms

localize12.0ms

rewrite18.0ms

series86.0ms

simplify45.0ms

prune135.0ms

localize11.0ms

rewrite17.0ms

series81.0ms

simplify37.0ms

prune136.0ms

regimes100.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

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