Details

sample92.0ms

Algorithm

intervals

Results

38.0ms	102×	body	2560	valid
21.0ms	81×	body	1280	valid
8.0ms	231×	body	80	nan
6.0ms	32×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	16×	body	160	valid
0.0ms	6×	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

prune3.0ms

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

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

rewrite22.0ms

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)))
7.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
9.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- 1.0 (* 5.0 (* v v)))
140.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
26.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	333	653
1	1248	598
2	5001	597

prune237.0ms

Filtered

87 candidates to 65 candidates (74.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	4	88

Merged error: 0.7b

Counts

88 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
0.0b	(pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)
0.1b	(* 5.0 (pow v 2))
0.7b	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-sqr-sqrt`
72×	`times-frac`
65×	`*-un-lft-identity`
45×	`add-cube-cbrt`
44×	`unpow-prod-down`
40×	`difference-of-squares`
30×	`cube-prod`
14×	`add-exp-log`
13×	`sqr-pow`
12×	`unpow2`
11×	`add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`associate-r` `associate-/r*`
6×	`associate-/r/`
5×	`pow1`
4×	`flip3--` `flip--` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `associate-l` `pow-exp` `prod-exp` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `acos-asin` `cube-mult` `pow-pow` `frac-2neg` `unpow3` `div-sub` `clear-num` `*-commutative` `cbrt-unprod`

Counts

4 → 167

Calls

4 calls:

9.0ms	(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
12.0ms	(pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)
5.0ms	(* 5.0 (pow v 2))
1.0ms	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
130.0ms	(pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)
27.0ms	(* 5.0 (pow v 2))
4.0ms	(acos (cbrt (pow (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)) 3)))

simplify99.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	824	1983
1	3361	1799
2	5002	1768

prune426.0ms

Filtered

179 candidates to 96 candidates (53.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	179	4	183

Merged error: 0.7b

Counts

183 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (pow v 2))
0.7b	(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)

rewrite13.0ms

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:

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

series82.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 5.0 (pow v 2))
3.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
3.0ms	(cbrt (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3))
49.0ms	(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

prune221.0ms

Filtered

91 candidates to 49 candidates (53.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	2	2
Picked	1	0	1
Done	1	0	1
Total	91	4	95

Merged error: 0.7b

Counts

95 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) 1/3)
0.1b	(* 5.0 (pow v 2))
0.7b	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
1.0b	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`unpow-prod-down`
20×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
8×	`associate-r`
7×	`add-cbrt-cube`
6×	`pow-unpow` `cube-prod` `pow-exp`
5×	`pow1` `sqr-pow`
4×	`pow-to-exp` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`cube-mult` `pow-pow` `unpow3` `unpow2`
1×	`acos-asin` `unpow1/3` `*-commutative` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 87

Calls

4 calls:

4.0ms	(pow (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) 1/3)
5.0ms	(* 5.0 (pow v 2))
1.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
2.0ms	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

series175.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(pow (pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3) 1/3)
26.0ms	(* 5.0 (pow v 2))
4.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))
49.0ms	(pow (acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	335	871
1	1614	815
2	5001	809

prune236.0ms

Filtered

99 candidates to 55 candidates (55.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Merged error: 0.7b

Counts

103 → 5

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	3010×	body	2560	valid
636.0ms	2438×	body	1280	valid
284.0ms	8045×	body	80	nan
235.0ms	1237×	body	640	valid
90.0ms	656×	body	320	valid
42.0ms	424×	body	160	valid
13.0ms	235×	body	80	valid

Details

sample92.0ms

simplify98.0ms

prune3.0ms

localize7.0ms

rewrite22.0ms

series229.0ms

simplify38.0ms

prune237.0ms

localize15.0ms

rewrite34.0ms

series295.0ms

simplify99.0ms

prune426.0ms

localize12.0ms

rewrite13.0ms

series82.0ms

simplify37.0ms

prune221.0ms

localize14.0ms

rewrite14.0ms

series175.0ms

simplify63.0ms

prune236.0ms

regimes158.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

Profiling