Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify76.0ms

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

localize9.0ms

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)
13.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

122×	`*-un-lft-identity`
56×	`distribute-lft-out`
39×	`associate-l`
36×	`times-frac`
27×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r*`
6×	`pow1`
5×	`associate-/l*`
4×	`flip3-+` `flip-+`
3×	`associate-r`
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 → 113

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
24.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
8.0ms	(* (+ 0.99229 (* x 0.04481)) x)
21.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ 0.99229 (* x 0.04481))
91.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
69.0ms	(* (+ 0.99229 (* x 0.04481)) x)
63.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	408	1088
1	1494	1039
2	5001	1033

prune159.0ms

Filtered

125 candidates to 67 candidates (53.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	2	126

Merged error: 0b

Counts

126 → 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)
13.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
21.0b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

301×	`*-un-lft-identity`
142×	`distribute-lft-out`
105×	`times-frac`
92×	`associate-l`
82×	`unpow-prod-down`
50×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
46×	`cbrt-prod`
11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/`
5×	`flip3-+` `flip-+` `associate-/l*`
4×	`pow-unpow` `add-log-exp`
3×	`associate-r` `div-inv`
2×	`cbrt-undiv` `unpow3` `div-exp` `associate-*l/` `pow-exp` `rem-cbrt-cube` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 200

Calls

4 calls:

8.0ms	(* (+ 0.99229 (* x 0.04481)) x)
22.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
18.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
20.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

series288.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (+ 0.99229 (* x 0.04481)) x)
95.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
65.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

simplify89.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	588	2272
1	2475	2203
2	5001	2189

prune269.0ms

Filtered

212 candidates to 91 candidates (42.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	212	2	214

Merged error: 0b

Counts

214 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.2b	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
1.6b	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
21.7b	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

2316×	`*-un-lft-identity`
2178×	`add-sqr-sqrt`
1342×	`associate-l`
842×	`unswap-sqr`
741×	`times-frac`
740×	`swap-sqr`
632×	`difference-of-squares`
608×	`distribute-lft-out`
368×	`distribute-lft-out--`
296×	`associate-/r*`
203×	`*-commutative`
186×	`add-cube-cbrt`
172×	`frac-times`
100×	`associate-*l/`
87×	`flip3--` `flip--`
47×	`pow1`
38×	`associate-r`
25×	`add-exp-log` `add-cbrt-cube`
20×	`associate-/l*`
19×	`pow-prod-down`
11×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
8×	`associate-/l/`
4×	`frac-2neg` `associate-*r/` `clear-num` `associate-/r/` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `div-exp` `div-inv`
1×	`pow2`

Counts

4 → 1242

Calls

4 calls:

8.0ms	(* (+ 0.99229 (* x 0.04481)) x)
27.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
75.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
158.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ 0.99229 (* x 0.04481)) x)
48.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
82.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
137.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify267.0ms

Algorithm

egg-herbie

Counts

1254 → 1254

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1956	21283
1	5002	21132

prune930.0ms

Filtered

1254 candidates to 270 candidates (21.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	1254	0	1254
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	1254	2	1256

Merged error: 0b

Counts

1256 → 2

regimes14.0ms

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

sample331.0ms

Algorithm

intervals

Results

242.0ms

8000×

body

valid