Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
48×	`*-un-lft-identity`
46×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`fma-def`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
7×	`neg-mul-1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`neg-sub0` `div-sub` `div-inv`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `distribute-frac-neg` `div-exp` `clear-num` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 118

Calls

3 calls:

28.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series160.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
74.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify129.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	335	784
1	1079	748
2	4829	733
3	5001	733

prune350.0ms

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
10×	`associate-l`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `distribute-lft-neg-out` `neg-mul-1` `pow-flip` `fma-def` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip-+` `fma-udef` `inv-pow`

Counts

4 → 103

Calls

4 calls:

5.0ms	(+ (* (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
11.0ms	(* (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
50.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
73.0ms	(* (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	444	805
1	1865	713
2	5003	677

prune272.0ms

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	20	7
1	24	7
2	27	7
3	27	7

end0.0ms

sample348.0ms

Algorithm

intervals

Results

251.0ms

8000×

body

valid