Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	22	8
1	39	6
2	66	6
3	98	6
4	108	6
5	130	6
6	158	6
7	211	6
8	277	6
9	512	6
10	881	6
11	1338	6
12	2728	6
13	5001	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
13.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `fma-def`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 0.99229 (* x 0.04481))
32.0ms	(+ 2.30753 (* x 0.27061))
67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
68.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	400	644
1	1540	555
2	5001	539

prune252.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.3b	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
13.0b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
22×	`prod-exp`
18×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `1-exp` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
7×	`associate-r`
6×	`rec-exp` `times-frac` `add-log-exp`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `associate-l` `flip-+` `associate-/l*`
2×	`frac-times` `pow-flip` `pow-prod-down` `associate-*l/` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-r/` `clear-num` `associate-/r` `sum-log` `un-div-inv` `*-commutative` `fma-udef` `inv-pow` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
9.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 2.30753 (* x 0.27061))
26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
50.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
68.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1)))

simplify53.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	435	656
1	1764	531
2	5002	519

prune251.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.5b	(fma (sqrt 2.30753) (sqrt 2.30753) (* x 0.27061))
13.4b	(/ (fma (sqrt 2.30753) (sqrt 2.30753) (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*l/` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
1.0ms	(fma (sqrt 2.30753) (sqrt 2.30753) (* x 0.27061))
4.0ms	(/ (fma (sqrt 2.30753) (sqrt 2.30753) (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ 0.99229 (* x 0.04481))
70.0ms	(* (+ 0.99229 (* x 0.04481)) x)
82.0ms	(fma (sqrt 2.30753) (sqrt 2.30753) (* x 0.27061))
112.0ms	(/ (fma (sqrt 2.30753) (sqrt 2.30753) (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	373	752
1	1467	636
2	5001	621

prune261.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

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	21	8
1	23	8
2	23	8

end0.0ms

sample330.0ms

Algorithm

intervals

Results

243.0ms

8000×

body

valid