Details

sample30.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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))

rewrite8.0ms

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:

0.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.0ms	(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))

series215.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(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)
50.0ms	(* 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

prune203.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
9.9b	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
14.8b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac` `associate-/r*`
12×	`add-exp-log` `unpow-prod-down` `cube-prod`
10×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `pow-prod-down` `pow-exp` `clear-num` `-commutative` `rem-cbrt-cube` `div-inv` `associate-/l` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

1.0ms	(pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
1.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
7.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)
50.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
25.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
72.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))

simplify56.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	392	766
1	1802	690
2	5001	675

prune300.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753))
9.9b	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
14.8b	(sqrt (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))
14.8b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`sqrt-prod`
28×	`cbrt-prod`
27×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
7×	`unpow-prod-down` `cube-prod`
6×	`pow1` `add-exp-log` `rem-sqrt-square` `add-cbrt-cube` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `associate-/r*` `sqr-pow`
2×	`cube-mult` `pow1/2` `pow1/3` `unpow3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `rem-cbrt-cube` `div-inv`

Counts

4 → 111

Calls

4 calls:

3.0ms	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753))
1.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
3.0ms	(sqrt (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series377.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(/ (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753))
31.0ms	(cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3))
84.0ms	(sqrt (cbrt (pow (fma x (fma 0.04481 x 0.99229) 1.0) 3)))
85.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	427	898
1	1640	864
2	5001	843

prune441.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

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	18	9
1	18	9

end0.0ms

sample788.0ms

Algorithm

intervals

Results

686.0ms

8000×

body

valid