Details

analyze830.0ms

Algorithm: search

sample82.0ms

Algorithm

intervals

Results

37.0ms	85×	body	2560	valid
24.0ms	87×	body	1280	valid
7.0ms	36×	body	640	valid
3.0ms	22×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	11×	body	80	valid

simplify98.0ms

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: 0.7b

Counts

2 → 1

localize8.0ms

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))
0.7b	(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)))

simplify36.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	336	587
1	1261	535
2	5002	531

prune111.0ms

Filtered

55 candidates to 72 candidates (-30.9%)

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: 0.6b

Counts

73 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

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:

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

series34.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify114.0ms

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

prune97.0ms

Filtered

39 candidates to 66 candidates (-69.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.6b

Counts

70 → 5

localize15.0ms

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

rewrite12.0ms

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)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
50.0ms	(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)))

simplify56.0ms

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

prune104.0ms

Filtered

42 candidates to 73 candidates (-73.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Merged error: 0.6b

Counts

78 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(pow (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 2)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`pow-pow`
1×	`acos-asin` `pow-to-exp` `pow-exp` `unpow2` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(pow (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 2)

series133.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
41.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
39.0ms	(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
50.0ms	(pow (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 2)

simplify60.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	141	687
1	400	610
2	1599	597
3	5001	594

prune147.0ms

Filtered

44 candidates to 64 candidates (-45.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	63	6	69

Merged error: 0.6b

Counts

69 → 6

regimes176.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	17	9
2	17	9

end0.0ms

analyze828.0ms

Algorithm: search

sample2.5s

Algorithm

intervals

Results

1.2s	2994×	body	2560	valid
709.0ms	2503×	body	1280	valid
263.0ms	1272×	body	640	valid
90.0ms	588×	body	320	valid
43.0ms	417×	body	160	valid
13.0ms	226×	body	80	valid
0.0ms	3×	body	80	nan

Details

analyze830.0ms

sample82.0ms

simplify98.0ms

prune2.0ms

localize8.0ms

rewrite15.0ms

series11.0ms

simplify36.0ms

prune111.0ms

localize13.0ms

rewrite11.0ms

series34.0ms

simplify114.0ms

prune97.0ms

localize15.0ms

rewrite12.0ms

series81.0ms

simplify56.0ms

prune104.0ms

localize17.0ms

rewrite7.0ms

series133.0ms

simplify60.0ms

prune147.0ms

regimes176.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze828.0ms

sample2.5s

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