Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify80.0ms

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 2 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
17.7b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

30×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
4×	`add-exp-log` `neg-mul-1` `add-cbrt-cube`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 69

Calls

2 calls:

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))

series98.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
72.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	259	629
1	830	601
2	3846	596
3	5003	594

prune209.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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))
17.3b	(* (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

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))
12.0ms	(* (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
49.0ms	(/ 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)))

simplify44.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	368	645
1	1576	563
2	5001	534

prune223.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

7.6b	(* (- (fma 0.27061 x 2.30753)) (* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
17.7b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
17.7b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
17.7b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
10×	`associate-l`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`distribute-lft-neg-out` `frac-times` `neg-mul-1` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

21.0ms	(* (- (fma 0.27061 x 2.30753)) (* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
2.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series841.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(* (- (fma 0.27061 x 2.30753)) (* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
164.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
163.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
293.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	503	1426
1	1582	1325
2	5001	1185

prune439.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (- (pow (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) 6)) (pow (fma 0.27061 x 2.30753) 3)))
17.7b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
17.7b	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
23.8b	(* (- (pow (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) 6)) (pow (fma 0.27061 x 2.30753) 3))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
47×	`add-sqr-sqrt`
44×	`associate-l`
40×	`add-cube-cbrt` `*-un-lft-identity`
36×	`unpow-prod-down` `times-frac`
20×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
12×	`associate-r`
9×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `cube-prod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow1/3` `prod-exp`
2×	`cbrt-div`
1×	`distribute-lft-neg-out` `cube-mult` `pow-to-exp` `neg-mul-1` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

13.0ms	(cbrt (* (- (pow (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) 6)) (pow (fma 0.27061 x 2.30753) 3)))
2.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
58.0ms	(* (- (pow (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) 6)) (pow (fma 0.27061 x 2.30753) 3))

series681.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (* (- (pow (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) 6)) (pow (fma 0.27061 x 2.30753) 3)))
162.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
162.0ms	(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
104.0ms	(* (- (pow (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) 6)) (pow (fma 0.27061 x 2.30753) 3))

simplify82.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	741	1651
1	3129	1509
2	5002	1494

prune624.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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	20	7
1	24	7
2	27	7
3	27	7

end0.0ms

sample363.0ms

Algorithm

intervals

Results

273.0ms

8000×

body

valid