Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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	(+ 0.99229 (* x 0.04481))
0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
17.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite35.0ms

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:

5.0ms	(+ 0.99229 (* x 0.04481))
12.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 0.99229 (* x 0.04481))
82.0ms	(- 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)))

simplify46.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	418	785
1	1542	737
2	5001	731

prune193.0ms

Filtered

89 candidates to 67 candidates (75.3%)

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	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.2b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
17.0b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite34.0ms

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)))))
7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
4.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
17.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series252.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- x (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
62.0ms	(* (+ 0.99229 (* x 0.04481)) x)
43.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
61.0ms	(* (+ 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

prune234.0ms

Filtered

119 candidates to 78 candidates (65.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* x 0.27061) 3)
0.3b	(* (* x 0.27061) (* x 0.27061))
17.2b	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ (* 2.30753 2.30753) (- (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))
22.4b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
73×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`pow1`
26×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
18×	`pow-prod-down`
16×	`sum-cubes` `distribute-lft-out`
12×	`associate-/r/`
9×	`prod-exp` `cbrt-unprod`
7×	`flip3-+` `flip-+`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow` `associate-/l/`
2×	`pow-pow` `frac-2neg` `pow-plus` `pow-exp` `clear-num` `rem-cube-cbrt`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `associate-r` `associate-l` `*-commutative` `sqr-pow`

Counts

4 → 199

Calls

4 calls:

2.0ms	(pow (* x 0.27061) 3)
10.0ms	(* (* x 0.27061) (* x 0.27061))
92.0ms	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ (* 2.30753 2.30753) (- (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))
34.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (* x 0.27061) 3)
24.0ms	(* (* x 0.27061) (* x 0.27061))
103.0ms	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ (* 2.30753 2.30753) (- (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))
66.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify123.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	830	4141
1	3901	3860
2	5002	3856

prune649.0ms

Filtered

211 candidates to 144 candidates (68.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

17.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
17.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
17.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
22.3b	(/ (- (pow x 3) (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) x)) (pow x 2)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

250×	`add-sqr-sqrt`
158×	`times-frac`
106×	`*-un-lft-identity`
96×	`difference-of-squares`
72×	`unpow-prod-down` `cube-prod`
66×	`add-cube-cbrt`
42×	`associate-/l*`
40×	`sqr-pow`
20×	`distribute-lft-out--`
12×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`associate-/r/` `associate-/l/`
7×	`flip3-+` `flip-+`
4×	`pow1` `difference-cubes` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 245

Calls

4 calls:

9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
185.0ms	(/ (- (pow x 3) (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) x)) (pow x 2)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
60.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
60.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
335.0ms	(/ (- (pow x 3) (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) x)) (pow x 2)))

simplify141.0ms

Algorithm

egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	740	9047
1	3076	8867
2	5001	8865

prune812.0ms

Filtered

257 candidates to 166 candidates (64.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

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

sample322.0ms

Algorithm

intervals

Results

237.0ms

8000×

body

valid