Details

sample317.0ms

Algorithm

intervals

Results

38.0ms

538×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Filtered

1 candidates to 0 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: 13.8b

Counts

2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.8b	(* (* (* w w) r) r)
7.4b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.0b	(* (* w w) r)

rewrite53.0ms

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:

13.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.0ms	(* (* (* w w) r) r)
18.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.0ms	(* (* w w) r)

series217.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
34.0ms	(* (* (* w w) r) r)
75.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
27.0ms	(* (* w w) r)

simplify107.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	670	1303
1	3876	935
2	5003	931

prune271.0ms

Filtered

131 candidates to 61 candidates (46.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	119	12	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	12	132

Merged error: 1.0b

Counts

132 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* r r))
4.7b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
4.8b	(* (* (* w w) r) r)
10.0b	(* (* w w) r)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log` `add-cbrt-cube`
27×	`prod-exp` `cbrt-unprod`
22×	`times-frac`
20×	`cbrt-undiv` `div-exp`
18×	`pow1`
17×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-/r*`
9×	`pow-prod-down`
6×	`associate-r`
4×	`div-inv` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`flip3--` `associate-/r/` `flip--` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

5.0ms	(/ 2.0 (* r r))
15.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
10.0ms	(* (* (* w w) r) r)
6.0ms	(* (* w w) r)

series143.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 2.0 (* r r))
70.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (* (* w w) r) r)))
30.0ms	(* (* (* w w) r) r)
18.0ms	(* (* w w) r)

simplify95.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	720	1067
1	3968	798
2	5001	794

prune282.0ms

Filtered

125 candidates to 69 candidates (55.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	118	7	125
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	124	13	137

Merged error: 0.1b

Counts

137 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r))))
0.3b	(/ 2.0 (* r r))
0.5b	(* (fabs (* w r)) (fabs (* w r)))
4.7b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

7.0ms	(/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r))))
4.0ms	(/ 2.0 (* r r))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
12.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

series124.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r))))
24.0ms	(/ 2.0 (* r r))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
61.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	603	1212
1	3004	959
2	5001	951

prune369.0ms

Filtered

130 candidates to 83 candidates (63.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	121	9	130
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	129	14	143

Merged error: 0.0b

Counts

143 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r))))
0.2b	(/ (/ 2.0 r) r)
0.5b	(* (fabs (* w r)) (fabs (* w r)))
4.7b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
66×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
56×	`add-cube-cbrt`
37×	`add-exp-log` `add-cbrt-cube`
19×	`associate-/l*`
15×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
11×	`pow1`
9×	`div-inv`
7×	`prod-exp` `cbrt-unprod`
5×	`associate-/l/`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`frac-2neg` `swap-sqr` `associate-r` `associate-l` `clear-num`
2×	`flip3--` `associate-*r/` `flip--`
1×	`pow2` `pow-plus` `div-sub` `pow-prod-down` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`

Counts

4 → 167

Calls

4 calls:

7.0ms	(/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r))))
6.0ms	(/ (/ 2.0 r) r)
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
12.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

series127.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r))))
24.0ms	(/ (/ 2.0 r) r)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
60.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (* (fabs (* w r)) (fabs (* w r)))))

simplify91.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	811	1575
1	3869	1303
2	5002	1295

prune435.0ms

Filtered

179 candidates to 116 candidates (64.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	178	15	193

Merged error: 0.0b

Counts

193 → 15

regimes288.0ms

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	26	16
1	26	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

17059×

body

valid

Details

sample317.0ms

simplify83.0ms

prune5.0ms

localize34.0ms

rewrite53.0ms

series217.0ms

simplify107.0ms

prune271.0ms

localize17.0ms

rewrite41.0ms

series143.0ms

simplify95.0ms

prune282.0ms

localize21.0ms

rewrite31.0ms

series124.0ms

simplify72.0ms

prune369.0ms

localize17.0ms

rewrite36.0ms

series127.0ms

simplify91.0ms

prune435.0ms

regimes288.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

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