Details

analyze8.0ms

Algorithm: search

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	42	8
2	50	8
3	50	8

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

9.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms	(+ 2.30753 (* x 0.27061))
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:

7.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	441	781
1	1821	736
2	5001	736

prune139.0ms

Filtered

68 candidates to 91 candidates (-33.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.4b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
45×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
7×	`pow1` `flip3-+` `flip-+`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `associate-*r/` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

5.0ms	(* x (+ 0.99229 (* x 0.04481)))
7.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

series21.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify96.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	675	1949
1	3285	1824
2	5001	1812

prune225.0ms

Filtered

92 candidates to 161 candidates (-75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	161	3	164

Merged error: 0b

Counts

164 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 0.99229 (* x 0.04481))))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

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

series71.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
20.0ms	(cbrt x)
21.0ms	(cbrt x)
8.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ 0.99229 (* x 0.04481))))))

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	307	784
1	1113	719
2	5001	685

prune111.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
0.3b	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
0.3b	(pow (* x 0.27061) 3)
23.2b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
14×	`pow1` `*-un-lft-identity`
13×	`flip3-+` `flip-+`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`frac-times` `associate-/r/`
6×	`associate-r/` `associate-r*` `prod-exp` `cbrt-unprod`
5×	`times-frac` `pow-prod-down` `associate-/l*`
4×	`associate-l` `associate-*l/` `add-log-exp`
3×	`distribute-rgt-in` `pow-unpow` `distribute-lft-in`
2×	`cbrt-undiv` `sub-neg` `pow-pow` `div-exp` `pow-exp` `sum-cubes` `*-commutative` `associate-/l/` `distribute-lft-out` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `flip3--` `frac-2neg` `unpow3` `cube-prod` `clear-num` `associate-/r*` `flip--` `div-inv` `unswap-sqr` `sqr-pow`

Counts

4 → 109

Calls

4 calls:

12.0ms	(* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
4.0ms	(pow (* x 0.27061) 3)
20.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
7.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
4.0ms	(pow (* x 0.27061) 3)
11.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify128.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	684	1532
1	3979	1348
2	5001	1348

prune279.0ms

Filtered

84 candidates to 121 candidates (-44.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes31.0ms

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	10
1	23	10

end0.0ms

analyze4.0ms

Algorithm: search

sample410.0ms

Algorithm

intervals

Results

320.0ms

8000×

body

valid

Details

analyze8.0ms

sample16.0ms

simplify6.0ms

prune2.0ms

localize10.0ms

rewrite25.0ms

series21.0ms

simplify58.0ms

prune139.0ms

localize16.0ms

rewrite30.0ms

series21.0ms

simplify96.0ms

prune225.0ms

localize16.0ms

rewrite11.0ms

series71.0ms

simplify43.0ms

prune111.0ms

localize20.0ms

rewrite46.0ms

series27.0ms

simplify128.0ms

prune279.0ms

regimes31.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample410.0ms

Profiling