Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample19.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify170.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	1987	20
1	1987	20

prune8.0ms

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: 1.0b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
0.0b	(* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
0.1b	(* v (* v 6.0))
1.0b	(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*r/`
34×	`add-exp-log` `add-cbrt-cube`
20×	`pow1`
18×	`flip3--` `sqrt-div` `flip--`
16×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
12×	`frac-times`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l` `pow-prod-down`
8×	`associate-r` `associate-/r/`
6×	`associate-*l/`
4×	`cbrt-undiv` `div-exp` `sqrt-prod` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `difference-of-squares`

Counts

4 → 111

Calls

4 calls:

12.0ms	(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
11.0ms	(* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
5.0ms	(* v (* v 6.0))
13.0ms	(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
12.0ms	(* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
3.0ms	(* v (* v 6.0))
16.0ms	(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4971	2489
1	4971	2489

prune213.0ms

Filtered

86 candidates to 123 candidates (-43.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	122	3	125

Merged error: 0b

Counts

125 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 2.0 (* v (* v 6.0))))
0.0b	(/ (/ 4.0 3.0) (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
0.0b	(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
0.1b	(* v (* v 6.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
31×	`times-frac`
29×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-div`
13×	`flip3--` `flip--` `associate-/l*`
12×	`pow1` `associate-*r/`
10×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`frac-times` `associate-/r/`
7×	`associate-r` `associate-l` `sqrt-prod`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`div-inv`
2×	`*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/r*` `associate-/l/` `difference-of-squares`

Counts

4 → 122

Calls

4 calls:

3.0ms	(sqrt (- 2.0 (* v (* v 6.0))))
13.0ms	(/ (/ 4.0 3.0) (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
8.0ms	(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
5.0ms	(* v (* v 6.0))

series35.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (- 2.0 (* v (* v 6.0))))
16.0ms	(/ (/ 4.0 3.0) (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
8.0ms	(* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))
3.0ms	(* v (* v 6.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5770	2596

prune229.0ms

Filtered

98 candidates to 134 candidates (-36.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	134	3	137

Merged error: 0b

Counts

137 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
0.1b	(* v (* v 6.0))
1.0b	(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
1.0b	(pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

72×	`associate-*r/`
47×	`add-exp-log` `add-cbrt-cube`
24×	`flip3--` `sqrt-div` `associate-/r/` `flip--`
21×	`prod-exp` `cbrt-unprod`
19×	`pow1`
16×	`frac-times`
15×	`unpow-prod-down` `cube-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down`
8×	`cbrt-undiv` `div-exp` `associate-*l/`
6×	`associate-l`
5×	`pow-exp` `rem-cube-cbrt`
4×	`add-log-exp`
3×	`pow-unpow` `div-inv` `associate-/l*`
2×	`associate-r` `*-commutative`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/r*` `sqr-pow`

Counts

4 → 136

Calls

4 calls:

14.0ms	(* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
5.0ms	(* v (* v 6.0))
13.0ms	(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
15.0ms	(pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3)

series68.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))
3.0ms	(* v (* v 6.0))
19.0ms	(/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0))))))))
34.0ms	(pow (/ 4.0 (* 3.0 (* PI (* (- 1.0 (* v v)) (sqrt (- 2.0 (* v (* v 6.0)))))))) 3)

simplify50.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5194	3653

prune285.0ms

Filtered

93 candidates to 148 candidates (-59.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	148	3	151

Merged error: 0b

Counts

151 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.0b	(* (* 3.0 PI) (- 1.0 (* v v)))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
18×	`associate-*r/` `prod-exp` `cbrt-unprod`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `sqrt-div` `pow-prod-down`
11×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-/r/`
5×	`associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
3×	`times-frac` `sqrt-prod` `-commutative` `associate-/l`
2×	`sub-neg`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r*` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

14.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
6.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
5.0ms	(* 6.0 (* v v))
12.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
7.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
3.0ms	(* 6.0 (* v v))
17.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify39.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5626	2185

prune174.0ms

Filtered

82 candidates to 119 candidates (-45.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0b

Counts

122 → 3

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	20
1	67	20

end0.0ms

sample504.0ms

Algorithm

intervals

Results

403.0ms	8000×	body	80	valid
0.0ms	3×	body	80	nan

Details

analyze5.0ms

sample19.0ms

simplify170.0ms

prune8.0ms

localize12.0ms

rewrite45.0ms

series40.0ms

simplify61.0ms

prune213.0ms

localize14.0ms

rewrite33.0ms

series35.0ms

simplify39.0ms

prune229.0ms

localize15.0ms

rewrite53.0ms

series68.0ms

simplify50.0ms

prune285.0ms

localize11.0ms

rewrite41.0ms

series40.0ms

simplify39.0ms

prune174.0ms

regimes103.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample504.0ms

Profiling