Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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)
14.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite25.0ms

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)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 2.30753 (* x 0.27061))
90.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
60.0ms	(/ (+ 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	422	785
1	1574	737
2	5001	731

prune203.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.2b	(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
14.0b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.0b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`add-cube-cbrt` `*-un-lft-identity`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`flip3-+` `associate-/r*` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 264

Calls

4 calls:

7.0ms	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
15.0ms	(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
2.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
62.0ms	(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
78.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
82.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify110.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	923	6227
1	3468	5694
2	5001	5608

prune572.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

14.0b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.0b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.0b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.0b	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
4×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
82.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
82.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
83.0ms	(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify74.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	168	684
1	534	660
2	2758	616
3	5001	612

prune306.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample332.0ms

Algorithm

intervals

Results

242.0ms

8000×

body

valid