Details

sample31.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	9
1	51	9
2	69	9
3	86	9
4	94	9
5	105	9
6	139	9
7	177	9
8	202	9
9	246	9
10	416	9
11	615	9
12	992	9
13	1948	9
14	2240	9
15	3154	9
16	5001	9

prune2.0ms

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

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	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-exp-log` `times-frac` `add-cbrt-cube`
9×	`associate-r`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`flip3-+` `associate-*r/` `flip-+`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-/r` `associate-/l`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 91

Calls

4 calls:

12.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
3.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
3.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	512	893
1	2220	827
2	5002	827

prune145.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	3	104

Merged error: 0b

Counts

104 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.6b	(* (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

55×	`pow1`
30×	`add-sqr-sqrt`
28×	`sqrt-pow1`
26×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow-prod-down`
18×	`times-frac`
16×	`associate-*r/`
12×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
10×	`pow1/2` `pow-prod-up`
7×	`associate-r` `associate-l`
6×	`flip3--` `associate-/r` `pow-sqr` `flip--` `associate-/l`
5×	`flip3-+` `flip-+`
4×	`frac-times` `swap-sqr` `sqrt-prod` `associate-/r/` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `associate-l/` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 141

Calls

4 calls:

5.0ms	(* x (+ 0.99229 (* x 0.04481)))
24.0ms	(* (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* x (+ 0.99229 (* x 0.04481)))
13.0ms	(* (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (sqrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	524	1842
1	2518	1667
2	5002	1597

prune327.0ms

Filtered

97 candidates to 153 candidates (-57.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	153	3	156

Merged error: 0b

Counts

156 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.6b	(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `times-frac`
8×	`cbrt-prod`
6×	`associate-*r/`
4×	`cube-div` `add-log-exp`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `flip3--` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `pow1/3` `div-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `div-inv` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

5.0ms	(* x (+ 0.99229 (* x 0.04481)))
12.0ms	(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms	(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms	(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

simplify69.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	560	1150
1	2434	1083
2	5001	1082

prune180.0ms

Filtered

78 candidates to 108 candidates (-38.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	108	3	111

Merged error: 0b

Counts

111 → 3

regimes88.0ms

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	23	9
1	23	9

end0.0ms

sample475.0ms

Algorithm

intervals

Results

348.0ms

8000×

body

valid

Details

sample31.0ms

simplify116.0ms

prune2.0ms

localize11.0ms

rewrite27.0ms

series21.0ms

simplify61.0ms

prune145.0ms

localize14.0ms

rewrite45.0ms

series28.0ms

simplify80.0ms

prune327.0ms

localize17.0ms

rewrite28.0ms

series27.0ms

simplify69.0ms

prune180.0ms

regimes88.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample475.0ms

Profiling