Details

sample84.0ms

Algorithm

intervals

Results

33.0ms	95×	body	2560	valid
19.0ms	84×	body	1280	valid
9.0ms	34×	body	640	valid
7.0ms	228×	body	80	nan
2.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	13×	body	80	valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	5001	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: 0.7b

Counts

2 → 1

localize8.0ms

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))
0.2b	(* 5.0 (* v v))
0.7b	(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)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- 1.0 (* 5.0 (* v v)))
86.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (35.0ms)

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

prune170.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 0.7b

Counts

88 → 5

localize12.0ms

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)))))
0.2b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite12.0ms

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

series116.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
4.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
25.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify121.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (31.0ms)

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

prune127.0ms

Filtered

66 candidates to 40 candidates (60.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0.7b

Counts

71 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

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

series63.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 5.0 (* v v))
26.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify115.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	119	368
1	350	308
2	945	308
3	3243	308
4	5001	308

prune203.0ms

Filtered

66 candidates to 42 candidates (63.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	65	7	72

Merged error: 0.6b

Counts

72 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.7b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.5b	(log (exp (* 5.0 (* v v))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

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

series56.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
25.0ms	(log (exp (* 5.0 (* v v))))

simplify114.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	156	359
1	412	304
2	1040	304
3	3582	304
4	5001	304

prune194.0ms

Filtered

61 candidates to 39 candidates (63.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	61	7	68

Merged error: 0.6b

Counts

68 → 7

regimes164.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	2996×	body	2560	valid
562.0ms	2502×	body	1280	valid
228.0ms	7857×	body	80	nan
201.0ms	1237×	body	640	valid
77.0ms	629×	body	320	valid
34.0ms	421×	body	160	valid
10.0ms	215×	body	80	valid