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

sample22.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify170.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	2364	19
1	2364	19

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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
26×	`associate-l`
22×	`add-exp-log` `times-frac` `add-cbrt-cube`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`frac-times`
17×	`sqrt-prod`
16×	`sqrt-div`
15×	`pow1`
14×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `div-inv` `difference-of-squares`

Counts

3 → 111

Calls

3 calls:

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

series28.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(* 3.0 (* v v))

simplify34.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5242	2330

prune218.0ms

Filtered

85 candidates to 120 candidates (-41.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	119	3	122

Merged error: 0b

Counts

122 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1` `associate-l`
14×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`sqrt-div` `sqrt-prod`
7×	`associate-*r/` `pow-prod-down`
5×	`unswap-sqr`
4×	`frac-times` `flip3--` `associate-*l/` `flip--`
3×	`*-commutative` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `div-exp`
1×	`div-inv`

Counts

3 → 91

Calls

3 calls:

11.0ms	(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
11.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
5.0ms	(* 3.0 (* v v))

series26.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
10.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
3.0ms	(* 3.0 (* v v))

simplify44.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5024	1819

prune166.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	100	3	103

Merged error: 0b

Counts

103 → 3

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (pow (exp 3.0) (* v v)))))) (- 1.0 (* v v)))
3.0b	(log (pow (exp 3.0) (* v v)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
23×	`-un-lft-identity` `associate-l*`
22×	`times-frac`
21×	`add-cube-cbrt`
19×	`sqrt-prod`
18×	`add-exp-log` `frac-times`
17×	`add-cbrt-cube`
16×	`sqrt-div`
14×	`flip3--` `flip--`
12×	`associate-r`
10×	`pow1` `associate-*r/`
9×	`associate-*l/`
7×	`log-prod` `prod-exp` `cbrt-unprod`
6×	`unswap-sqr`
4×	`pow-prod-down`
3×	`unpow-prod-down` `rem-log-exp` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `*-commutative` `difference-of-squares`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-exp` `log-pow` `div-inv` `distribute-lft-out--` `sqr-pow`

Counts

3 → 112

Calls

3 calls:

12.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))))
15.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (pow (exp 3.0) (* v v)))))) (- 1.0 (* v v)))
3.0ms	(log (pow (exp 3.0) (* v v)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))))
49.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (log (pow (exp 3.0) (* v v)))))) (- 1.0 (* v v)))
28.0ms	(log (pow (exp 3.0) (* v v)))

simplify35.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5059	2299

prune231.0ms

Filtered

88 candidates to 121 candidates (-37.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Merged error: 0b

Counts

124 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

112×	`sqrt-div`
65×	`pow1`
51×	`frac-times`
45×	`add-sqr-sqrt`
32×	`associate-l`
31×	`associate-*r/`
28×	`sqrt-pow1`
27×	`pow-prod-down`
26×	`flip3--` `flip--`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`times-frac`
21×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
18×	`associate-*l/`
12×	`associate-r`
10×	`pow1/2` `pow-prod-up`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`pow-sqr`
4×	`swap-sqr` `*-commutative` `add-log-exp`
1×	`cbrt-undiv` `pow2` `pow-plus` `sqrt-unprod` `div-exp` `rem-square-sqrt` `div-inv`

Counts

4 → 174

Calls

4 calls:

11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))
5.0ms	(* 3.0 (* v v))
20.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms	(* 3.0 (* v v))
7.0ms	(* 3.0 (* v v))
13.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5036	3495

prune489.0ms

Filtered

106 candidates to 186 candidates (-75.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	186	3	189

Merged error: 0b

Counts

189 → 3

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	19
1	53	19

end0.0ms

sample510.0ms

Algorithm

intervals

Results

408.0ms	8000×	body	80	valid
0.0ms	3×	body	80	nan

Details

analyze5.0ms

sample22.0ms

simplify170.0ms

prune8.0ms

localize10.0ms

rewrite32.0ms

series28.0ms

simplify34.0ms

prune218.0ms

localize10.0ms

rewrite32.0ms

series26.0ms

simplify44.0ms

prune166.0ms

localize16.0ms

rewrite34.0ms

series103.0ms

simplify35.0ms

prune231.0ms

localize15.0ms

rewrite50.0ms

series33.0ms

simplify46.0ms

prune489.0ms

regimes103.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample510.0ms

Profiling