Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify79.0ms

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)
15.0b	(/ (+ 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))
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	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ 2.30753 (* x 0.27061))
83.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
64.0ms	(* (+ 0.99229 (* x 0.04481)) x)
56.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

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

prune187.0ms

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: 0b

Counts

90 → 3

localize11.0ms

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)
0.4b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.6b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite25.0ms

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)))
10.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
60.0ms	(* (+ 0.99229 (* x 0.04481)) x)
42.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
58.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify74.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (58.0ms)

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

prune226.0ms

Filtered

119 candidates to 79 candidates (66.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	119	3	122

Merged error: 0b

Counts

122 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
0.4b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.5b	(sqrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
14.5b	(sqrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`times-frac`
36×	`*-un-lft-identity`
34×	`add-cube-cbrt`
30×	`sqrt-prod`
12×	`add-exp-log`
10×	`pow1`
8×	`associate-/r/` `add-cbrt-cube`
6×	`rem-sqrt-square` `sqrt-pow1` `associate-/r` `associate-/l`
4×	`pow-flip` `flip3-+` `div-exp` `flip-+` `div-inv` `inv-pow` `add-log-exp`
2×	`cbrt-undiv` `rec-exp` `frac-2neg` `pow1/2` `sqrt-div` `1-exp` `clear-num`

Counts

4 → 126

Calls

4 calls:

5.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
4.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
4.0ms	(sqrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
4.0ms	(sqrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series277.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
37.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
101.0ms	(sqrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
96.0ms	(sqrt (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify46.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	324	1322
1	1228	1204
2	5002	1110

prune318.0ms

Filtered

138 candidates to 84 candidates (60.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	138	3	141

Merged error: 0b

Counts

141 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

8.3b	(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
15.4b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
15.4b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
15.4b	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

11.0ms	(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
2.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
2.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
2.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series633.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
138.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
148.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
143.0ms	(cbrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	520	1360
1	1576	1261
2	5001	1165

prune329.0ms

Filtered

82 candidates to 72 candidates (87.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Merged error: 0b

Counts

85 → 3

regimes19.0ms

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	25	9
1	25	9

end0.0ms

sample324.0ms

Algorithm

intervals

Results

238.0ms

8000×

body

valid