Details

sample310.0ms

Algorithm

intervals

Results

34.0ms

602×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (23.0ms)

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: 6.8b

Counts

2 → 2

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.5b	(/ 2.0 (* r r))
5.0b	(* (* (* w w) r) r)
8.9b	(* (* w w) r)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `pow-prod-down`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

1.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
5.0ms	(/ 2.0 (* r r))
8.0ms	(* (* (* w w) r) r)
9.0ms	(* (* w w) r)

series202.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
25.0ms	(/ 2.0 (* r r))
42.0ms	(* (* (* w w) r) r)
27.0ms	(* (* w w) r)

simplify46.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	320	459
1	1457	382
2	5001	374

prune256.0ms

Filtered

89 candidates to 58 candidates (65.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Merged error: 0.3b

Counts

91 → 10

localize18.0ms

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) 3.0)
0.3b	(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)))
0.5b	(/ 2.0 (* r r))

rewrite19.0ms

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:

7.0ms	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
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)))
5.0ms	(/ 2.0 (* r r))

series202.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
82.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
9.0ms	(* (fabs (* w r)) (fabs (* w r)))
25.0ms	(/ 2.0 (* r r))

simplify47.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	378	1079
1	1315	875
2	5001	837

prune324.0ms

Filtered

101 candidates to 69 candidates (68.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	97	14	111

Merged error: 0.3b

Counts

111 → 14

localize18.0ms

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) 3.0)
0.2b	(/ (/ 2.0 r) r)
0.3b	(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)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

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

series202.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
25.0ms	(/ (/ 2.0 r) r)
81.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
9.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify66.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	586	1442
1	2162	1219
2	5001	1199

prune456.0ms

Filtered

150 candidates to 102 candidates (68.0%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	0	13	13
Picked	1	0	1
Done	0	0	0
Total	148	16	164

Merged error: 0.3b

Counts

164 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.3b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`pow1`
14×	`add-cube-cbrt` `associate-l` `prod-exp` `cbrt-unprod`
13×	`times-frac`
8×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`flip3--` `swap-sqr` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`frac-2neg` `associate-r/` `clear-num` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `pow-plus` `associate-*l/` `pow-sqr` `pow-prod-up`

Counts

4 → 119

Calls

4 calls:

9.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
17.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))
5.0ms	(/ 2.0 (* r r))

series145.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
64.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 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

131 → 131

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	604	1050
1	2763	834
2	5001	822

prune338.0ms

Filtered

131 candidates to 87 candidates (66.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	3	12	15
Picked	1	0	1
Done	0	0	0
Total	133	14	147

Merged error: 0.0b

Counts

147 → 14

regimes421.0ms

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	28	16
1	28	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

910.0ms

17015×

body

valid