Details

analyze1.1s

Algorithm: search

sample43.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
9.0ms	129×	body	80	invalid

simplify436.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	667	14
3	3125	14
4	5002	14

prune5.0ms

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: 12.1b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.1b	(* (* w w) r)
7.5b	(* (* (* w w) r) r)
7.6b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

12.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.0ms	(* (* w w) r)
22.0ms	(* (* (* w w) r) r)
18.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))

series62.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.0ms	(* (* w w) r)
7.0ms	(* (* (* w w) r) r)
31.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))

simplify103.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	670	1303
1	3873	935
2	5001	931

prune168.0ms

Filtered

61 candidates to 131 candidates (-114.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	122	9	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	9	132

Merged error: 2.4b

Counts

132 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 2.0 (* r r))
5.6b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
6.1b	(* (* w w) r)
7.5b	(* (* (* w w) r) r)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

4.0ms	(/ 2.0 (* r r))
15.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
6.0ms	(* (* w w) r)
7.0ms	(* (* (* w w) r) r)

series39.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ 2.0 (* r r))
23.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
4.0ms	(* (* w w) r)
10.0ms	(* (* (* w w) r) r)

simplify95.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	707	1007
1	3967	740
2	5003	736

prune172.0ms

Filtered

64 candidates to 120 candidates (-87.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Merged error: 0.1b

Counts

129 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.8b	(/ 2.0 (* r r))
5.6b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`pow1`
14×	`add-cube-cbrt` `associate-r` `prod-exp` `cbrt-unprod`
13×	`times-frac`
8×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`associate-*r/`
4×	`flip3--` `associate-l` `pow-prod-down` `associate-/r/` `flip--` `associate-/l*` `add-log-exp`
3×	`swap-sqr` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

6.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
3.0ms	(* (fabs (* w r)) (fabs (* w r)))
4.0ms	(/ 2.0 (* r r))
14.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))
25.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify83.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	599	1138
1	3030	904
2	5002	889

prune230.0ms

Filtered

79 candidates to 124 candidates (-57.0%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	116	8	124
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	122	14	136

Merged error: 0.0b

Counts

136 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.2b	(/ (/ 2.0 r) r)
0.3b	(* (fabs (* w r)) (fabs (* w r)))
5.6b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
62×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
54×	`add-cube-cbrt`
37×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
14×	`associate-r` `associate-/l*`
13×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*`
7×	`div-inv`
5×	`associate-*r/`
4×	`flip3--` `associate-l` `pow-prod-down` `associate-/r/` `flip--` `add-log-exp`
3×	`swap-sqr` `distribute-lft-out--` `difference-of-squares`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `associate-/l/` `unswap-sqr`

Counts

4 → 161

Calls

4 calls:

6.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
6.0ms	(/ (/ 2.0 r) r)
3.0ms	(* (fabs (* w r)) (fabs (* w r)))
12.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
3.0ms	(/ (/ 2.0 r) r)
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
25.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify97.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	807	1501
1	3892	1248
2	5001	1234

prune236.0ms

Filtered

113 candidates to 173 candidates (-53.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	172	15	187

Merged error: 0.0b

Counts

187 → 15

regimes450.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms

analyze876.0ms

Algorithm: search

sample1.2s

Algorithm

intervals

Results

562.0ms	8000×	body	80	valid
341.0ms	4873×	body	80	invalid

Details

analyze1.1s

sample43.0ms

simplify436.0ms

prune5.0ms

localize19.0ms

rewrite65.0ms

series62.0ms

simplify103.0ms

prune168.0ms

localize17.0ms

rewrite36.0ms

series39.0ms

simplify95.0ms

prune172.0ms

localize18.0ms

rewrite32.0ms

series47.0ms

simplify83.0ms

prune230.0ms

localize17.0ms

rewrite33.0ms

series47.0ms

simplify97.0ms

prune236.0ms

regimes450.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze876.0ms

sample1.2s

Profiling