Details

sample25.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	8

prune6.0ms

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))
0.0b	(* x (+ 0.99229 (* x 0.04481)))
16.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite25.0ms

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-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
2.0ms	(+ 2.30753 (* x 0.27061))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series14.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 0.99229 (* x 0.04481))
2.0ms	(+ 2.30753 (* x 0.27061))
4.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	421	651
1	1810	561
2	5001	544

prune650.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.7b	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
15.1b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1)))

rewrite28.0ms

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:

2.0ms	(+ 2.30753 (* x 0.27061))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
6.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
17.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
4.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
7.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1)))

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	435	658
1	1764	531
2	5002	519

prune586.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	23	8
2	23	8

end0.0ms

sample598.0ms

Algorithm

intervals

Results

506.0ms

8000×

body

valid