Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
46×	`times-frac`
45×	`prod-diff`
15×	`fma-neg`
10×	`associate-/r/`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 152

Calls

4 calls:

4.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
16.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
88.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
56.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	592	2099
1	2450	1603
2	5001	1541

prune366.0ms

Filtered

164 candidates to 114 candidates (69.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	2	165

Merged error: 0b

Counts

165 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
15.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

354×	`times-frac`
252×	`add-sqr-sqrt`
243×	`*-un-lft-identity`
238×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
23×	`div-inv`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `associate-/r/` `difference-of-squares`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `fma-udef` `inv-pow`

Counts

4 → 314

Calls

4 calls:

26.0ms	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
6.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
3.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series218.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
67.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
65.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify101.0ms

Algorithm

egg-herbie

Counts

326 → 326

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	827	4586
1	3031	3152
2	5001	3069

prune523.0ms

Filtered

326 candidates to 147 candidates (45.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	325	1	326
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	326	2	328

Merged error: 0b

Counts

328 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753))))
0.2b	(/ 1 (fma 0.27061 x 2.30753))
15.2b	(* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
7.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753))))
3.0ms	(/ 1 (fma 0.27061 x 2.30753))
7.0ms	(* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
67.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753))))
31.0ms	(/ 1 (fma 0.27061 x 2.30753))
66.0ms	(* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753)))

simplify55.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	443	837
1	1814	683
2	5002	644

prune262.0ms

Filtered

135 candidates to 76 candidates (56.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	135	2	137

Merged error: 0b

Counts

137 → 2

regimes12.0ms

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	15	6
1	15	6

end0.0ms

sample342.0ms

Algorithm

intervals

Results

251.0ms

8000×

body

valid