Details

sample300.0ms

Algorithm

intervals

Results

29.0ms

526×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	675	14
3	3242	13
4	5001	13

prune12.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 8.5b

Counts

2 → 2

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.125 (- 3.0 (* 2.0 v)))
0.4b	(/ 2.0 (* r r))
5.8b	(* (* (* w w) r) r)
9.6b	(* (* w w) r)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
20×	`pow1`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
9×	`associate-r`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv`

Counts

4 → 99

Calls

4 calls:

6.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
5.0ms	(/ 2.0 (* r r))
8.0ms	(* (* (* w w) r) r)
10.0ms	(* (* w w) r)

series147.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
25.0ms	(/ 2.0 (* r r))
39.0ms	(* (* (* w w) r) r)
25.0ms	(* (* w w) r)

simplify51.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	394	490
1	1732	410
2	5001	397

prune311.0ms

Filtered

111 candidates to 67 candidates (60.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	8	111
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	104	9	113

Merged error: 0.1b

Counts

113 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.2b	(* 0.125 (- 3.0 (* 2.0 v)))
0.4b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `swap-sqr` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `unswap-sqr`
1×	`pow2` `flip3--` `frac-2neg` `pow-plus` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `flip--` `fma-udef` `div-inv`

Counts

4 → 92

Calls

4 calls:

1.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
6.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
5.0ms	(/ 2.0 (* r r))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
56.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
24.0ms	(/ 2.0 (* r r))
9.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify47.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	384	637
1	1539	546
2	5001	522

prune330.0ms

Filtered

104 candidates to 68 candidates (65.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.2b	(* 0.125 (- 3.0 (* 2.0 v)))
0.2b	(/ (/ 2.0 r) r)
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
58×	`add-sqr-sqrt`
54×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`associate-r` `associate-l` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `swap-sqr` `div-exp` `associate-/r*`
2×	`sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `flip3--` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `flip--` `fma-udef` `associate-/l/`

Counts

4 → 141

Calls

4 calls:

1.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
6.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
6.0ms	(/ (/ 2.0 r) r)
4.0ms	(* (fabs (* w r)) (fabs (* w r)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
53.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
28.0ms	(/ (/ 2.0 r) r)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify65.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	592	1000
1	2405	890
2	5001	875

prune509.0ms

Filtered

153 candidates to 102 candidates (66.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	147	6	153
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	151	10	161

Merged error: 0.0b

Counts

161 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (/ (/ 2.0 r) r)) (sqrt (/ (/ 2.0 r) r)))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
11.7b	(sqrt (/ (/ 2.0 r) r))
11.7b	(sqrt (/ (/ 2.0 r) r))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

426×	`times-frac`
296×	`add-sqr-sqrt`
284×	`sqrt-prod`
222×	`add-cube-cbrt` `*-un-lft-identity`
51×	`swap-sqr`
49×	`associate-r` `associate-l`
28×	`pow1`
24×	`div-inv`
17×	`unswap-sqr`
10×	`sqrt-pow1` `pow1/2`
8×	`add-exp-log` `add-cbrt-cube`
6×	`rem-sqrt-square` `sqrt-div` `pow-prod-up`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`frac-times` `sqrt-unprod` `associate-r/` `associate-l/` `rem-square-sqrt`

Counts

4 → 329

Calls

4 calls:

47.0ms	(* (sqrt (/ (/ 2.0 r) r)) (sqrt (/ (/ 2.0 r) r)))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
11.0ms	(sqrt (/ (/ 2.0 r) r))
8.0ms	(sqrt (/ (/ 2.0 r) r))

series154.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (sqrt (/ (/ 2.0 r) r)) (sqrt (/ (/ 2.0 r) r)))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
41.0ms	(sqrt (/ (/ 2.0 r) r))
36.0ms	(sqrt (/ (/ 2.0 r) r))

simplify107.0ms

Algorithm

egg-herbie

Counts

341 → 341

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	664	2707
1	3270	2553
2	5001	2474

prune1.3s

Filtered

341 candidates to 234 candidates (68.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	338	3	341
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	343	8	351

Merged error: 0.0b

Counts

351 → 8

regimes192.0ms

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	39	26
1	39	26

end0.0ms

sample1.3s

Algorithm

intervals

Results

908.0ms

17036×

body

valid