Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify72.0ms

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

prune3.0ms

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	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
11.6b	(/ (+ 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:

8.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
40.0ms	(+ 2.30753 (* x 0.27061))
79.0ms	(* (+ 0.99229 (* x 0.04481)) x)
74.0ms	(/ (+ 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

prune418.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.4b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
11.1b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite24.0ms

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×	`flip3-+` `associate-l` `flip-+` `add-log-exp`
5×	`prod-exp`
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×	`+-commutative` `pow-flip` `frac-2neg` `associate-*r/` `clear-num` `sum-log` `un-div-inv` `inv-pow`

Counts

4 → 106

Calls

4 calls:

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

series236.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ 2.30753 (* x 0.27061))
76.0ms	(* (+ 0.99229 (* x 0.04481)) x)
49.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
70.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify63.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	517	953
1	2455	847
2	5002	821

prune570.0ms

Filtered

118 candidates to 75 candidates (36.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Merged error: 0b

Counts

121 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) 3)
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
11.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
16.9b	(cbrt (pow (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`cbrt-prod`
13×	`times-frac`
12×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
7×	`pow1`
4×	`cube-div` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`cube-mult` `cbrt-div` `flip3--` `unpow3` `associate-*l/` `associate-/r/` `flip--` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `div-inv` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

12.0ms	(pow (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) 3)
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
9.0ms	(cbrt (pow (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) 3))

series398.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(pow (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) 3)
76.0ms	(* (+ 0.99229 (* x 0.04481)) x)
71.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
102.0ms	(cbrt (pow (- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) 3))

simplify67.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	548	1457
1	2279	1372
2	5003	1366

prune698.0ms

Filtered

123 candidates to 77 candidates (37.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	123	3	126

Merged error: 0b

Counts

126 → 3

regimes59.0ms

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	20	8
1	20	8

end0.0ms

sample421.0ms

Algorithm

intervals

Results

295.0ms

8000×

body

valid

Details

sample21.0ms

simplify72.0ms

prune3.0ms

localize10.0ms

rewrite24.0ms

series300.0ms

simplify48.0ms

prune418.0ms

localize11.0ms

rewrite24.0ms

series236.0ms

simplify63.0ms

prune570.0ms

localize14.0ms

rewrite35.0ms

series398.0ms

simplify67.0ms

prune698.0ms

regimes59.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample421.0ms

Profiling