Details

sample994.0ms

Algorithm

intervals

Results

36.0ms	93×	body	2560	valid
21.0ms	80×	body	1280	valid
12.0ms	248×	body	80	nan
8.0ms	40×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	12×	body	160	valid
1.0ms	9×	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:

0.2b	(* 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)))

simplify105.0ms

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

prune47.0ms

Filtered

21 candidates to 33 candidates (-57.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	3	34

Merged error: 0.4b

Counts

34 → 3

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)))))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite11.0ms

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

series33.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(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)))

simplify116.0ms

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

prune103.0ms

Filtered

39 candidates to 66 candidates (-69.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.4b

Counts

69 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b	(pow E (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

1.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
2.0ms	(pow E (log (acos (/ (- 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)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
48.0ms	(pow E (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)))

simplify57.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	203	661
1	611	577
2	1903	569
3	5001	555

prune114.0ms

Filtered

42 candidates to 73 candidates (-73.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 0.4b

Counts

79 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.9b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.9b	(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)))))

simplify111.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	125	1002
1	427	888
2	2342	844
3	5002	813

prune123.0ms

Filtered

49 candidates to 95 candidates (-93.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	95	7	102

Merged error: 0.4b

Counts

102 → 7

regimes180.0ms

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	15	9
1	17	9
2	17	9

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	3029×	body	2560	valid
672.0ms	2501×	body	1280	valid
287.0ms	7917×	body	80	nan
240.0ms	1238×	body	640	valid
89.0ms	630×	body	320	valid
38.0ms	390×	body	160	valid
12.0ms	212×	body	80	valid

Details

sample994.0ms

simplify95.0ms

prune2.0ms

localize7.0ms

rewrite7.0ms

series6.0ms

simplify105.0ms

prune47.0ms

localize11.0ms

rewrite11.0ms

series33.0ms

simplify116.0ms

prune103.0ms

localize18.0ms

rewrite11.0ms

series80.0ms

simplify57.0ms

prune114.0ms

localize10.0ms

rewrite11.0ms

series21.0ms

simplify111.0ms

prune123.0ms

regimes180.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.7s

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