Details

analyze111.0ms

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

sample25.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
0.0ms	1×	body	80	nan

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5222	28

prune10.0ms

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: 0.3b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.3b	(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))
0.3b	(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
0.5b	(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

5.0ms	(* 5.0 (* v v))
16.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))
16.0ms	(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
11.0ms	(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

series110.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (* v v))
39.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))))
37.0ms	(* PI (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
31.0ms	(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

simplify47.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5183	3276

prune394.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	126	8	134
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	127	9	136

Merged error: 0.0b

Counts

136 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* v (* v 3.0))
0.1b	(* v (* v 5.0))
0.4b	(/ (/ (- 1.0 (* v (* v 5.0))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
0.5b	(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log` `add-cbrt-cube`
32×	`associate-*r/`
31×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`pow1`
15×	`prod-exp` `cbrt-unprod`
13×	`associate-/l*`
12×	`flip3--` `sqrt-div` `flip--`
9×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down`
8×	`frac-times` `associate-/r/`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*l/` `add-log-exp`
3×	`associate-r` `*-commutative` `div-inv`
2×	`div-sub`
1×	`frac-2neg` `clear-num` `associate-/r*` `associate-/l/`

Counts

4 → 125

Calls

4 calls:

5.0ms	(* v (* v 3.0))
5.0ms	(* v (* v 5.0))
16.0ms	(/ (/ (- 1.0 (* v (* v 5.0))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
11.0ms	(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* v (* v 3.0))
3.0ms	(* v (* v 5.0))
42.0ms	(/ (/ (- 1.0 (* v (* v 5.0))) PI) (* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v)))))
31.0ms	(* t (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (- 1.0 (* v v))))

simplify44.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4999	3086
1	4999	3086

prune366.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	139	7	146

Merged error: 0b

Counts

146 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* v (* v 3.0))
0.1b	(* v (* v 5.0))
0.1b	(* v (* v 5.0))
0.3b	(* (/ (sqrt (- 1.0 (* v (* v 5.0)))) t) (/ (sqrt (- 1.0 (* v (* v 5.0)))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log` `add-cbrt-cube`
31×	`add-sqr-sqrt` `associate-l`
26×	`times-frac`
23×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
21×	`pow1` `associate-r`
13×	`sqrt-prod`
10×	`cbrt-undiv` `div-exp` `pow-prod-down`
9×	`associate-r/` `associate-l/`
8×	`associate-/r/`
6×	`flip3--` `sqrt-div` `flip--`
5×	`frac-times`
4×	`*-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`div-inv`

Counts

4 → 125

Calls

4 calls:

5.0ms	(* v (* v 3.0))
5.0ms	(* v (* v 5.0))
5.0ms	(* v (* v 5.0))
26.0ms	(* (/ (sqrt (- 1.0 (* v (* v 5.0)))) t) (/ (sqrt (- 1.0 (* v (* v 5.0)))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* v (* v 3.0))
3.0ms	(* v (* v 5.0))
3.0ms	(* v (* v 5.0))
39.0ms	(* (/ (sqrt (- 1.0 (* v (* v 5.0)))) t) (/ (sqrt (- 1.0 (* v (* v 5.0)))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI))))

simplify43.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5552	2921

prune432.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	4	5
Picked	1	0	1
Done	1	0	1
Total	139	5	144

Merged error: 0b

Counts

144 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* v (* v 5.0))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI)))
0.1b	(* v (* v 3.0))
0.1b	(/ (/ (- 1.0 (* v (* v 5.0))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI))) t)
0.1b	(* v (* v 5.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
40×	`associate-r/` `associate-l/` `associate-/r/`
37×	`add-exp-log` `add-cbrt-cube`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
31×	`flip3--` `flip--`
30×	`sqrt-div`
20×	`frac-times`
18×	`associate-/l*`
14×	`pow1`
12×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
6×	`associate-l` `pow-prod-down` `div-inv`
4×	`associate-/r*` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`frac-2neg` `associate-r` `clear-num` `*-commutative`

Counts

4 → 153

Calls

4 calls:

14.0ms	(/ (- 1.0 (* v (* v 5.0))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI)))
5.0ms	(* v (* v 3.0))
16.0ms	(/ (/ (- 1.0 (* v (* v 5.0))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI))) t)
5.0ms	(* v (* v 5.0))

series67.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (- 1.0 (* v (* v 5.0))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI)))
3.0ms	(* v (* v 3.0))
39.0ms	(/ (/ (- 1.0 (* v (* v 5.0))) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) (* (- 1.0 (* v v)) PI))) t)
3.0ms	(* v (* v 5.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5324	4949

prune479.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	165	5	170

Merged error: 0b

Counts

170 → 5

regimes98.0ms

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	102	28
1	102	28

end0.0ms

sample663.0ms

Algorithm

intervals

Results

530.0ms	8000×	body	80	valid
1.0ms	15×	body	80	nan

Details

analyze111.0ms

sample25.0ms

simplify29.0ms

prune10.0ms

localize17.0ms

rewrite54.0ms

series110.0ms

simplify47.0ms

prune394.0ms

localize21.0ms

rewrite41.0ms

series79.0ms

simplify44.0ms

prune366.0ms

localize20.0ms

rewrite47.0ms

series48.0ms

simplify43.0ms

prune432.0ms

localize17.0ms

rewrite50.0ms

series67.0ms

simplify56.0ms

prune479.0ms

regimes98.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample663.0ms

Profiling