Details

analyze1.1s

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	96.7%	3.3%	9
16.4%	74.9%	8.7%	10
17.6%	71.8%	10.7%	11
26.3%	59.5%	14.2%	12
30.7%	45.7%	23.5%	13
31.7%	43.5%	24.7%	14

sample75.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify446.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5645	29

prune13.0ms

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: 7.5b

Counts

2 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
0.7b	(/ 2.0 (* r r))
5.6b	(* r (* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))
9.9b	(* r (* w w))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

16.0ms	(* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
4.0ms	(/ 2.0 (* r r))
20.0ms	(* r (* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))
7.0ms	(* r (* w w))

series70.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
3.0ms	(/ 2.0 (* r r))
29.0ms	(* r (* (* r (* w w)) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))
14.0ms	(* r (* w w))

simplify38.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5154	2415

prune200.0ms

Filtered

68 candidates to 147 candidates (-116.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	131	16	147
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	133	16	149

Merged error: 0.6b

Counts

149 → 16

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
0.2b	(* (* r w) w)
0.7b	(/ 2.0 (* r r))
5.6b	(* r (* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

16.0ms	(* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
5.0ms	(* (* r w) w)
4.0ms	(/ 2.0 (* r r))
19.0ms	(* r (* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0)))
6.0ms	(* (* r w) w)
6.0ms	(/ 2.0 (* r r))
22.0ms	(* r (* (* (* r w) w) (* (/ 0.125 (- 1.0 v)) (- (* 2.0 v) 3.0))))

simplify42.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5773	2384

prune165.0ms

Filtered

59 candidates to 146 candidates (-147.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	140	6	146
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	147	15	162

Merged error: 0.6b

Counts

162 → 15

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt r)
0.6b	(cbrt r)
0.7b	(/ 2.0 (* r r))
3.3b	(* (* (cbrt r) (cbrt r)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (cbrt r))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-exp-log`
100×	`prod-exp` `cbrt-unprod`
97×	`pow1`
96×	`add-cbrt-cube`
75×	`pow-prod-down`
17×	`associate-*r/`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-undiv` `cbrt-prod` `div-exp` `associate-*l/`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`frac-times` `flip3--` `pow1/3` `flip--`
1×	`frac-2neg` `associate-r` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 120

Calls

4 calls:

1.0ms	(cbrt r)
1.0ms	(cbrt r)
4.0ms	(/ 2.0 (* r r))
29.0ms	(* (* (cbrt r) (cbrt r)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (cbrt r))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt r)
23.0ms	(cbrt r)
3.0ms	(/ 2.0 (* r r))
30.0ms	(* (* (cbrt r) (cbrt r)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (cbrt r))))

simplify63.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4977	1880
1	4977	1880

prune161.0ms

Filtered

54 candidates to 132 candidates (-144.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	132	15	147

Merged error: 0.1b

Counts

147 → 15

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt r) (cbrt r)))
0.6b	(cbrt (cbrt r))
0.7b	(/ 2.0 (* r r))
3.3b	(* (* (cbrt r) (cbrt r)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (* (cbrt (* (cbrt r) (cbrt r))) (cbrt (cbrt r))))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

254×	`add-exp-log`
200×	`prod-exp` `cbrt-unprod`
184×	`add-cbrt-cube`
181×	`pow1`
147×	`pow-prod-down`
17×	`associate-*r/`
10×	`cbrt-undiv` `cbrt-prod` `div-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*l/`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`frac-times` `flip3--` `pow1/3` `flip--`
1×	`frac-2neg` `associate-r` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 165

Calls

4 calls:

4.0ms	(cbrt (* (cbrt r) (cbrt r)))
2.0ms	(cbrt (cbrt r))
4.0ms	(/ 2.0 (* r r))
36.0ms	(* (* (cbrt r) (cbrt r)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (* (cbrt (* (cbrt r) (cbrt r))) (cbrt (cbrt r))))))

series94.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (* (cbrt r) (cbrt r)))
30.0ms	(cbrt (cbrt r))
3.0ms	(/ 2.0 (* r r))
25.0ms	(* (* (cbrt r) (cbrt r)) (* (* r w) (* (* w (* (/ 0.125 (- 1.0 v)) (- (* v 2.0) 3.0))) (* (cbrt (* (cbrt r) (cbrt r))) (cbrt (cbrt r))))))

simplify80.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	3307
1	4956	3307

prune120.0ms

Filtered

59 candidates to 177 candidates (-200.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	173	4	177
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	181	11	192

Merged error: 0.1b

Counts

192 → 11

regimes255.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	44
1	66	44

end0.0ms

sample2.0s

Algorithm

intervals

Results

492.0ms

8000×

body

valid

Details

analyze1.1s

sample75.0ms

simplify446.0ms

prune13.0ms

localize28.0ms

rewrite55.0ms

series70.0ms

simplify38.0ms

prune200.0ms

localize19.0ms

rewrite50.0ms

series59.0ms

simplify42.0ms

prune165.0ms

localize24.0ms

rewrite42.0ms

series78.0ms

simplify63.0ms

prune161.0ms

localize29.0ms

rewrite63.0ms

series94.0ms

simplify80.0ms

prune120.0ms

regimes255.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.0s

Profiling