Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	56	8
3	72	8
4	78	8
5	100	8
6	128	8
7	161	8
8	190	8
9	350	8
10	644	8
11	1012	8
12	2258	8
13	5001	8

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
15.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite30.0ms

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-*l/` `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` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

8.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 0.99229 (* x 0.04481))
10.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	418	785
1	1542	737
2	5001	731

prune132.0ms

Filtered

89 candidates to 67 candidates (24.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Merged error: 0b

Counts

90 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
15.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
15.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
21.7b	(/ (- (pow x 3) (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) x)) (pow x 2)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

250×	`add-sqr-sqrt`
158×	`times-frac`
106×	`*-un-lft-identity`
96×	`difference-of-squares`
72×	`unpow-prod-down` `cube-prod`
66×	`add-cube-cbrt`
42×	`associate-/l*`
40×	`sqr-pow`
20×	`distribute-lft-out--`
12×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`associate-/r/` `associate-/l/`
7×	`flip3-+` `flip-+`
4×	`pow1` `difference-cubes` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 245

Calls

4 calls:

6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
51.0ms	(/ (- (pow x 3) (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) x)) (pow x 2)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
37.0ms	(/ (- (pow x 3) (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) x)) (pow x 2)))

simplify144.0ms

Algorithm

egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	740	9117
1	3076	8937
2	5001	8935

prune1.6s

Filtered

257 candidates to 166 candidates (35.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	257	0	257
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	257	3	260

Merged error: 0b

Counts

260 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3.0191289436999997 x) (+ (* 1.900161040244073 (pow x 2)) 2.30753))
0.0b	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
0.1b	(* 1.900161040244073 (pow x 2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+`

Counts

3 → 52

Calls

3 calls:

5.0ms	(- (* 3.0191289436999997 x) (+ (* 1.900161040244073 (pow x 2)) 2.30753))
4.0ms	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
5.0ms	(* 1.900161040244073 (pow x 2))

series11.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- (* 3.0191289436999997 x) (+ (* 1.900161040244073 (pow x 2)) 2.30753))
5.0ms	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
3.0ms	(* 1.900161040244073 (pow x 2))

simplify167.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	241	303
1	879	280
2	4219	278
3	5001	278

prune71.0ms

Filtered

61 candidates to 39 candidates (36.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	61	3	64

Merged error: 0b

Counts

64 → 3

regimes60.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample457.0ms

Algorithm

intervals

Results

322.0ms

8000×

body

valid

Details

sample18.0ms

simplify77.0ms

prune2.0ms

localize10.0ms

rewrite30.0ms

series22.0ms

simplify49.0ms

prune132.0ms

localize23.0ms

rewrite82.0ms

series51.0ms

simplify144.0ms

prune1.6s

localize7.0ms

rewrite16.0ms

series11.0ms

simplify167.0ms

prune71.0ms

regimes60.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample457.0ms

Profiling