Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	42	8
2	50	8
3	50	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
11.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

2.0ms	(+ 0.99229 (* x 0.04481))
2.0ms	(+ 2.30753 (* x 0.27061))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ 0.99229 (* x 0.04481))
32.0ms	(+ 2.30753 (* x 0.27061))
66.0ms	(* x (+ 0.99229 (* x 0.04481)))
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	401	622
1	1709	574
2	5001	574

prune195.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
11.3b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`flip3-+` `div-exp` `flip-+`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 148

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
10.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
10.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ 2.30753 (* x 0.27061))
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
60.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
57.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify89.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	653	1866
1	3231	1701
2	5001	1620

prune290.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)))
0.1b	(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
11.3b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
16.4b	(cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
180×	`cbrt-prod`
146×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
90×	`unpow-prod-down` `cube-prod`
42×	`associate-/r*`
27×	`associate-/r/`
14×	`flip3-+` `flip-+` `div-inv`
13×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`pow1` `cube-mult` `unpow3` `associate-/l*` `sqr-pow`
4×	`div-exp` `add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow`
2×	`cbrt-div` `pow-flip` `frac-2neg` `pow1/3` `pow-exp` `clear-num` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `rec-exp` `pow-pow` `1-exp` `rem-cbrt-cube` `inv-pow`

Counts

4 → 304

Calls

4 calls:

23.0ms	(/ 1 (cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)))
8.0ms	(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
10.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
12.0ms	(cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3))

series252.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1 (cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)))
80.0ms	(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
58.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
59.0ms	(cbrt (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3))

simplify133.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	780	5027
1	3683	4327
2	5001	4302

prune442.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
11.3b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
17.1b	(pow (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3) (- 1/3))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

66×	`unpow-prod-down`
49×	`add-sqr-sqrt`
47×	`add-cube-cbrt` `*-un-lft-identity`
45×	`times-frac`
30×	`cube-prod`
15×	`add-exp-log`
13×	`pow-unpow`
11×	`add-cbrt-cube`
10×	`associate-/r/`
8×	`pow-exp`
7×	`pow1` `flip3-+` `flip-+`
5×	`div-inv`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `pow-to-exp` `distribute-rgt-neg-in` `div-exp` `associate-r` `associate-l` `associate-/r` `associate-/l` `sqr-pow`
2×	`cbrt-undiv` `cube-mult` `pow-pow` `unpow3` `associate-*r/` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `neg-sub0` `distribute-rgt-in` `pow-neg` `neg-mul-1` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `pow-sub` `unswap-sqr`

Counts

4 → 165

Calls

4 calls:

10.0ms	(* x (+ 0.99229 (* x 0.04481)))
8.0ms	(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
10.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
18.0ms	(pow (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3) (- 1/3))

series402.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (+ 0.99229 (* x 0.04481)))
79.0ms	(pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3)
58.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))
198.0ms	(pow (pow (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))) 3) (- 1/3))

simplify137.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	952	2382
1	4279	2183
2	5003	2179

prune413.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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	27	11
1	27	11

end0.0ms

sample349.0ms

Algorithm

intervals

Results

259.0ms

8000×

body

valid