Details

analyze110.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

sample24.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5222	28

prune10.0ms

Filtered

1 candidates to 1 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: 0.3b

Counts

2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* v v))
0.3b	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.3b	(* PI t)
0.5b	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
16×	`pow1`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`flip3--` `sqrt-div` `associate-r` `associate-/r/` `flip--`
7×	`associate-l` `pow-prod-down`
4×	`cbrt-undiv` `frac-times` `div-exp` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `clear-num` `associate-/r*` `sqrt-prod` `div-inv`

Counts

4 → 94

Calls

4 calls:

5.0ms	(* 3.0 (* v v))
16.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
3.0ms	(* PI t)
12.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series68.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* v v))
42.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
2.0ms	(* PI t)
20.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify60.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5017	1908

prune211.0ms

Filtered

73 candidates to 106 candidates (-45.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	98	8	106
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	99	9	108

Merged error: 0.1b

Counts

108 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* v v))
0.3b	(/ (sqrt (- 1.0 (* v (* v 5.0)))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
0.3b	(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
16×	`pow1` `associate-*r/`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-l`
8×	`sqrt-div`
7×	`pow-prod-down` `sqrt-prod`
6×	`times-frac` `associate-r` `associate-/l*`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`associate-/r/` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 93

Calls

4 calls:

7.0ms	(* 3.0 (* v v))
12.0ms	(/ (sqrt (- 1.0 (* v (* v 5.0)))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
10.0ms	(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
8.0ms	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* v v))
29.0ms	(/ (sqrt (- 1.0 (* v (* v 5.0)))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
20.0ms	(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
18.0ms	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify32.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5205	1787

prune253.0ms

Filtered

74 candidates to 105 candidates (-41.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* v (* v 5.0))
0.2b	(* 3.0 (* v v))
0.4b	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.4b	(/ (/ (sqrt (- 1.0 (* v (* v 5.0)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
37×	`add-sqr-sqrt`
34×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
22×	`associate-/l*`
19×	`sqrt-prod`
16×	`pow1`
9×	`associate-l` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`pow-prod-down`
6×	`cbrt-undiv` `div-exp` `associate-r`
4×	`sqrt-div` `add-log-exp`
3×	`*-commutative` `div-inv`
2×	`flip3--` `associate-/r/` `flip--` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `associate-/l/`

Counts

4 → 124

Calls

4 calls:

5.0ms	(* v (* v 5.0))
5.0ms	(* 3.0 (* v v))
7.0ms	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
14.0ms	(/ (/ (sqrt (- 1.0 (* v (* v 5.0)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* v (* v 5.0))
3.0ms	(* 3.0 (* v v))
20.0ms	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
29.0ms	(/ (/ (sqrt (- 1.0 (* v (* v 5.0)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify57.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4970	2512
1	4970	2512

prune323.0ms

Filtered

95 candidates to 136 candidates (-43.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	3	2	5
Picked	0	1	1
Done	2	0	2
Total	138	6	144

Merged error: 0b

Counts

144 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* v (* v 3.0))
0.2b	(* v (* v 5.0))
0.2b	(* v (* v 5.0))
0.2b	(* (/ 1 t) (/ (sqrt (- 1.0 (* v (* v 5.0)))) (* PI (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
40×	`add-cbrt-cube`
25×	`prod-exp`
24×	`add-sqr-sqrt`
22×	`associate-l`
21×	`pow1`
18×	`*-un-lft-identity`
17×	`add-cube-cbrt` `times-frac` `cbrt-unprod`
15×	`associate-r`
14×	`div-exp`
10×	`pow-prod-down`
7×	`cbrt-undiv`
5×	`associate-*r/`
4×	`*-commutative` `add-log-exp`
3×	`rec-exp` `1-exp` `sqrt-prod` `unswap-sqr`
2×	`sqrt-div` `associate-/r/` `div-inv`
1×	`frac-times` `flip3--` `associate-*l/` `flip--`

Counts

4 → 112

Calls

4 calls:

5.0ms	(* v (* v 3.0))
5.0ms	(* v (* v 5.0))
5.0ms	(* v (* v 5.0))
18.0ms	(* (/ 1 t) (/ (sqrt (- 1.0 (* v (* v 5.0)))) (* PI (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* v (* v 3.0))
3.0ms	(* v (* v 5.0))
3.0ms	(* v (* v 5.0))
46.0ms	(* (/ 1 t) (/ (sqrt (- 1.0 (* v (* v 5.0)))) (* PI (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4988	1827
1	4988	1827

prune205.0ms

Filtered

70 candidates to 124 candidates (-77.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	125	5	130

Merged error: 0b

Counts

130 → 5

regimes104.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	38
1	104	38

end0.0ms

sample656.0ms

Algorithm

intervals

Results

519.0ms	8000×	body	80	valid
1.0ms	13×	body	80	nan

Details

analyze110.0ms

sample24.0ms

simplify29.0ms

prune10.0ms

localize15.0ms

rewrite39.0ms

series68.0ms

simplify60.0ms

prune211.0ms

localize18.0ms

rewrite40.0ms

series70.0ms

simplify32.0ms

prune253.0ms

localize22.0ms

rewrite36.0ms

series55.0ms

simplify57.0ms

prune323.0ms

localize21.0ms

rewrite37.0ms

series55.0ms

simplify61.0ms

prune205.0ms

regimes104.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample656.0ms

Profiling