Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify135.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	31	9
1	59	9
2	90	9
3	116	7
4	130	7
5	148	7
6	188	7
7	264	7
8	304	7
9	377	7
10	580	7
11	851	7
12	1402	7
13	2787	7
14	3168	7
15	4321	7
16	5001	7

prune7.0ms

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: 0.0b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
14.8b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

1.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
4.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series220.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
24.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
52.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
72.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	272	452
1	1121	382
2	5002	382

prune222.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
0.1b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753))))
14.8b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
32×	`add-exp-log`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`pow1` `cbrt-undiv`
6×	`div-inv` `associate-/l*`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-r` `associate-l` `cbrt-unprod` `fma-udef`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
10.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753))))
4.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
53.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
73.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753))))
65.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753)))

simplify59.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	427	907
1	1980	776
2	5001	736

prune263.0ms

Filtered

125 candidates to 75 candidates (60.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	125	3	128

Merged error: 0b

Counts

128 → 3

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b

(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))

0.1b

(fma x (fma 0.04481 x 0.99229) 1.0)

14.8b

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

1.0ms

(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))

1.0ms

(fma x (fma 0.04481 x 0.99229) 1.0)

5.0ms

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms

(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))

24.0ms

(fma x (fma 0.04481 x 0.99229) 1.0)

69.0ms

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	201	402
1	579	359
2	2757	355
3	5002	349

prune143.0ms

Filtered

58 candidates to 48 candidates (82.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(pow (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
14.8b	(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))
19.8b	(cbrt (pow (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `fma-udef`

Counts

4 → 131

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(pow (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
3.0ms	(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))
4.0ms	(cbrt (pow (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

series240.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
88.0ms	(pow (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
63.0ms	(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))
65.0ms	(cbrt (pow (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	447	1174
1	2007	1079
2	5001	1067

prune288.0ms

Filtered

143 candidates to 83 candidates (58.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	3	146

Merged error: 0b

Counts

146 → 3

regimes15.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample364.0ms

Algorithm

intervals

Results

271.0ms

8000×

body

valid