Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify78.0ms

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

rewrite28.0ms

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:

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

series238.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ 2.30753 (* x 0.27061))
85.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
63.0ms	(* (+ 0.99229 (* x 0.04481)) x)
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	422	785
1	1574	737
2	5001	731

prune159.0ms

Filtered

89 candidates to 67 candidates (75.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	3	90

Merged error: 0.0b

Counts

90 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.1b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
14.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
18.2b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

rewrite35.0ms

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` `div-exp` `associate-*l/` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
7.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
11.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

series268.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
85.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
61.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

simplify88.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	653	1946
1	3050	1822
2	5001	1810

prune266.0ms

Filtered

159 candidates to 90 candidates (56.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	159	3	162

Merged error: 0.0b

Counts

162 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.7b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.3b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`div-exp` `associate-*l/` `associate-/r/` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `flip3--` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 107

Calls

4 calls:

2.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
4.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
11.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
64.0ms	(* (+ 0.99229 (* x 0.04481)) x)
42.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
55.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify70.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	566	1088
1	2660	977
2	5002	950

prune181.0ms

Filtered

119 candidates to 78 candidates (65.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Merged error: 0.0b

Counts

122 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
1.1b	(exp (log (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
14.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(exp (log (- x (/ (+ 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)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
85.0ms	(exp (log (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))))
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	441	1028
1	1563	966
2	5001	937

prune219.0ms

Filtered

98 candidates to 74 candidates (75.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

regimes34.0ms

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

sample412.0ms

Algorithm

intervals

Results

317.0ms

8000×

body

valid