Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify74.0ms

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)
16.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite24.0ms

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:

2.0ms	(+ 2.30753 (* x 0.27061))
8.0ms	(- 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)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 2.30753 (* x 0.27061))
96.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
70.0ms	(* (+ 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

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

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

prune154.0ms

Filtered

89 candidates to 67 candidates (75.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	2	90

Merged error: 0.0b

Counts

90 → 2

localize13.0ms

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)
16.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
20.7b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

rewrite34.0ms

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

series284.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ 0.99229 (* x 0.04481)) x)
101.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
62.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
56.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

simplify86.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (65.0ms)

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

prune302.0ms

Filtered

159 candidates to 90 candidates (56.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	159	2	161

Merged error: 0.0b

Counts

161 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 2.30753 (* x 0.27061)))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
3.1b	(/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
6.8b	(* (sqrt (+ 2.30753 (* x 0.27061))) (/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
40×	`times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
32×	`sqrt-prod`
27×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `associate-l`
8×	`sqrt-div`
7×	`flip3-+` `flip-+` `unswap-sqr`
6×	`associate-/l*`
4×	`associate-*l/` `associate-/r/` `add-log-exp`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `frac-times` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-*r/` `clear-num`

Counts

4 → 132

Calls

4 calls:

2.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
18.0ms	(* (sqrt (+ 2.30753 (* x 0.27061))) (/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series284.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
64.0ms	(* (+ 0.99229 (* x 0.04481)) x)
125.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
59.0ms	(* (sqrt (+ 2.30753 (* x 0.27061))) (/ (sqrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify76.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	611	1744
1	2501	1555
2	5001	1517

prune271.0ms

Filtered

144 candidates to 99 candidates (68.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	144	2	146

Merged error: 0.0b

Counts

146 → 2

regimes11.0ms

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

sample398.0ms

Algorithm

intervals

Results

310.0ms

8000×

body

valid

Details

sample25.0ms

simplify74.0ms

prune2.0ms

localize10.0ms

rewrite24.0ms

series256.0ms

simplify50.0ms

prune154.0ms

localize13.0ms

rewrite34.0ms

series284.0ms

simplify86.0ms

prune302.0ms

localize12.0ms

rewrite36.0ms

series284.0ms

simplify76.0ms

prune271.0ms

regimes11.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample398.0ms

Profiling