Details

sample28.0ms

Algorithm

intervals

Results

19.0ms

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

localize14.0ms

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)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
13.9b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite35.0ms

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:

25.0ms	(+ (/ (- (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)
5.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series164.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
75.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify132.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (27.0ms)

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

prune361.0ms

Pruning

3 alts after pruning (3 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)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.3b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
13.6b	(* (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite25.0ms

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))
14.0ms	(* (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* (- (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)
44.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
76.0ms	(* (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

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

prune280.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))) x)
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))
13.6b	(* (- (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

3.0ms	(+ (* (- (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 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))
5.0ms	(* (- (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))

series561.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(+ (* (- (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))) x)
31.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
45.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
283.0ms	(* (- (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	385	733
1	1513	635
2	5002	596

prune277.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
13.6b	(* (- (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))))))
13.8b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.8b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
14×	`pow-flip`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2` `associate-l`
6×	`sqrt-prod`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `div-exp` `pow-prod-down` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `times-frac` `associate-r` `pow-sqr` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `rec-exp` `1-exp` `cbrt-unprod`
1×	`distribute-lft-neg-out` `pow2` `neg-mul-1` `frac-2neg` `pow-plus` `clear-num` `associate-/r` `-commutative` `div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

9.0ms	(/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
5.0ms	(* (- (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))))))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series518.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
297.0ms	(* (- (fma 0.27061 x 2.30753)) (expm1 (log1p (/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))))))
87.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
89.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	451	947
1	2017	717
2	5001	676

prune345.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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	22	9
1	26	9
2	27	9
3	27	9

end0.0ms

sample693.0ms

Algorithm

intervals

Results

597.0ms

8000×

body

valid