Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify125.0ms

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	(+ 0.99229 (* x 0.04481))
0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
90×	`prod-diff`
89×	`add-cube-cbrt`
64×	`times-frac`
48×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-/r/`
10×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
9×	`associate-r`
8×	`pow1`
7×	`div-inv`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`fma-def` `associate-/r` `associate-/l`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `distribute-lft-out--`

Counts

4 → 192

Calls

4 calls:

4.0ms	(+ 0.99229 (* x 0.04481))
86.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 0.99229 (* x 0.04481))
94.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
53.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify106.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	775	3548
1	3247	2880
2	5001	2649

prune389.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
13.7b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite4.0ms

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:

0.0ms	(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series156.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
30.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
64.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify82.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	222	417
1	640	372
2	3067	368
3	5002	361

prune212.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

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))
13.6b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite12.0ms

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

series241.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(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)
53.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
69.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (7.0ms)

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

prune221.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	11
1	29	11
2	30	11
3	30	11

end0.0ms

sample340.0ms

Algorithm

intervals

Results

256.0ms

8000×

body

valid