Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify131.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	31	9
1	59	9
2	90	9
3	116	7
4	130	7
5	148	7
6	188	7
7	264	7
8	304	7
9	377	7
10	580	7
11	851	7
12	1402	7
13	2787	7
14	3168	7
15	4321	7
16	5001	7

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-sqr-sqrt`
135×	`*-un-lft-identity` `prod-diff`
131×	`add-cube-cbrt`
101×	`times-frac`
48×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-/r/`
15×	`fma-neg`
13×	`flip3-+` `flip-+`
11×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `associate-/r` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `clear-num`

Counts

4 → 253

Calls

4 calls:

17.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
16.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
81.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
61.0ms	(* x (+ 0.99229 (* x 0.04481)))
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify119.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	787	4964
1	3287	3903
2	5001	3628

prune351.0ms

Filtered

265 candidates to 131 candidates (49.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	261	4	265
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	263	4	267

Merged error: 0b

Counts

267 → 4

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
14.2b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

1.0ms	(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series145.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
58.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	222	417
1	640	372
2	3067	368
3	5002	361

prune149.0ms

Filtered

58 candidates to 48 candidates (82.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	58	4	62

Merged error: 0b

Counts

62 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* (sqrt 0.70711) (fma (sqrt 0.70711) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (* (sqrt 0.70711) (- x))))
0.2b	(* (sqrt 0.70711) (- x))
14.2b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(* (sqrt 0.70711) (fma (sqrt 0.70711) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (* (sqrt 0.70711) (- x))))
6.0ms	(* (sqrt 0.70711) (- x))
3.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series305.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
174.0ms	(* (sqrt 0.70711) (fma (sqrt 0.70711) (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (* (sqrt 0.70711) (- x))))
48.0ms	(* (sqrt 0.70711) (- x))
59.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	382	845
1	1565	756
2	5002	728

prune297.0ms

Filtered

109 candidates to 84 candidates (77.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0b

Counts

113 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 2.30753 (* x 0.27061)))
0.2b	(cbrt (+ 2.30753 (* x 0.27061)))
0.8b	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
3.9b	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
34×	`cbrt-prod`
29×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-div` `times-frac`
11×	`pow1`
10×	`flip3-+` `flip-+`
8×	`add-exp-log` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `associate-/l*`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r*`
2×	`associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 125

Calls

4 calls:

2.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
2.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
8.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
6.0ms	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series581.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
141.0ms	(cbrt (+ 2.30753 (* x 0.27061)))
142.0ms	(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
179.0ms	(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	698	1701
1	2775	1606
2	5001	1547

prune610.0ms

Filtered

137 candidates to 110 candidates (80.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	137	4	141

Merged error: 0b

Counts

141 → 4

regimes22.0ms

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	21	7
1	25	7
2	26	7
3	26	7

end0.0ms

sample445.0ms

Algorithm

intervals

Results

350.0ms

8000×

body

valid