Details

sample313.0ms

Algorithm

intervals

Results

31.0ms

590×

body

valid

simplify86.0ms

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

prune13.0ms

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: 10.0b

Counts

2 → 2

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 0.125 (- 3.0 (* 2.0 v)))
0.4b	(/ 2.0 (* r r))
6.2b	(* (* (* w w) r) r)
11.3b	(* (* w w) r)

rewrite30.0ms

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)))
4.0ms	(/ 2.0 (* r r))
7.0ms	(* (* (* w w) r) r)
8.0ms	(* (* w w) r)

series148.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
24.0ms	(/ 2.0 (* r r))
39.0ms	(* (* (* w w) r) r)
26.0ms	(* (* w w) r)

simplify52.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (44.0ms)

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

prune314.0ms

Filtered

111 candidates to 67 candidates (60.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	103	10	113

Merged error: 0.3b

Counts

113 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(* 0.125 (- 3.0 (* 2.0 v)))
0.4b	(/ 2.0 (* r 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)
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
6.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
5.0ms	(/ 2.0 (* r r))

series169.0ms

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)
10.0ms	(* (fabs (* w r)) (fabs (* w r)))
56.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
25.0ms	(/ 2.0 (* r r))

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (39.0ms)

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

prune340.0ms

Filtered

104 candidates to 68 candidates (65.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	104	10	114

Merged error: 0.0b

Counts

114 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.1b	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(/ 2.0 (* r r))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `fma-neg` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef`
1×	`pow2` `sub-neg` `flip3--` `frac-2neg` `pow-plus` `diff-log` `pow-prod-down` `associate--l+` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

4.0ms	(- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
1.0ms	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
3.0ms	(* (fabs (* w r)) (fabs (* w r)))
4.0ms	(/ 2.0 (* r r))

series178.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
68.0ms	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
27.0ms	(/ 2.0 (* r r))

simplify46.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	377	1027
1	1297	828
2	5002	791

prune340.0ms

Filtered

101 candidates to 69 candidates (68.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 0.0b

Counts

111 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 0.375 (* 0.25 v)) (- 1.0 v))
0.1b	(* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(/ 2.0 (* r r))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
34×	`times-frac`
29×	`add-cube-cbrt`
25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-l`
16×	`pow1`
8×	`prod-exp` `cbrt-unprod`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r` `associate-/l`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `swap-sqr` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`
1×	`pow2` `pow-plus` `div-sub` `associate-*l/` `pow-sqr` `pow-prod-up`

Counts

4 → 137

Calls

4 calls:

7.0ms	(/ (- 0.375 (* 0.25 v)) (- 1.0 v))
13.0ms	(* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
5.0ms	(/ 2.0 (* r r))

series133.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- 0.375 (* 0.25 v)) (- 1.0 v))
59.0ms	(* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
24.0ms	(/ 2.0 (* r r))

simplify71.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	613	1150
1	2624	999
2	5001	985

prune463.0ms

Filtered

149 candidates to 105 candidates (70.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	144	5	149
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	151	8	159

Merged error: 0.0b

Counts

159 → 8

regimes127.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

887.0ms

17106×

body

valid