Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

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

prune10.0ms

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

localize12.0ms

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))
13.4b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-r` `associate-l`
12×	`associate-/l*`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`*-commutative` `unswap-sqr`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`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` `div-inv`

Counts

4 → 109

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)
4.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
7.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series234.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
54.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
77.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	400	922
1	1610	852
2	5001	852

prune283.0ms

Filtered

121 candidates to 94 candidates (77.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	120	3	123

Merged error: 0b

Counts

123 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (/ (* 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))
13.4b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

1.0ms	(expm1 (log1p (/ (* 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)
4.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
8.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series382.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(expm1 (log1p (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))))
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
54.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
80.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	407	913
1	1631	846
2	5001	845

prune340.0ms

Filtered

123 candidates to 94 candidates (76.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	123	3	126

Merged error: 0b

Counts

126 → 3

localize15.0ms

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))
0.5b	(expm1 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
13.4b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

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))
1.0ms	(expm1 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
7.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series284.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
55.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
126.0ms	(expm1 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
75.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	421	923
1	1675	853
2	5002	853

prune345.0ms

Filtered

122 candidates to 93 candidates (76.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	122	3	125

Merged error: 0b

Counts

125 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 0.70711) (fma 0.27061 x 2.30753))
0.5b	(expm1 (/ (sqrt 0.70711) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (sqrt 0.70711) (fma 0.27061 x 2.30753)))))
0.6b	(/ (sqrt 0.70711) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (sqrt 0.70711) (fma 0.27061 x 2.30753))))
13.4b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (sqrt 0.70711) (fma 0.27061 x 2.30753)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
462×	`add-sqr-sqrt`
354×	`add-cube-cbrt` `*-un-lft-identity`
267×	`sqrt-prod`
162×	`associate-l`
84×	`associate-/r*`
81×	`associate-r`
54×	`unswap-sqr`
27×	`*-commutative`
22×	`associate-/r/`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`fma-udef`
1×	`distribute-rgt-in` `expm1-log1p` `distribute-lft-in` `pow-prod-down` `expm1-udef`

Counts

4 → 530

Calls

4 calls:

5.0ms	(* (sqrt 0.70711) (fma 0.27061 x 2.30753))
1.0ms	(expm1 (/ (sqrt 0.70711) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (sqrt 0.70711) (fma 0.27061 x 2.30753)))))
22.0ms	(/ (sqrt 0.70711) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (sqrt 0.70711) (fma 0.27061 x 2.30753))))
9.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (sqrt 0.70711) (fma 0.27061 x 2.30753)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (sqrt 0.70711) (fma 0.27061 x 2.30753))
323.0ms	(expm1 (/ (sqrt 0.70711) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (sqrt 0.70711) (fma 0.27061 x 2.30753)))))
153.0ms	(/ (sqrt 0.70711) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (sqrt 0.70711) (fma 0.27061 x 2.30753))))
126.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (sqrt 0.70711) (fma 0.27061 x 2.30753)))

simplify126.0ms

Algorithm

egg-herbie

Counts

542 → 542

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1483	8255
1	5002	7703

prune1.3s

Filtered

542 candidates to 288 candidates (53.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	542	0	542
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	542	3	545

Merged error: 0b

Counts

545 → 3

regimes18.0ms

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	17	9
1	17	9

end0.0ms

sample371.0ms

Algorithm

intervals

Results

275.0ms

8000×

body

valid