Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	9
1	51	9
2	69	9
3	86	9
4	94	9
5	105	9
6	139	9
7	177	9
8	202	9
9	246	9
10	416	9
11	615	9
12	992	9
13	1948	9
14	2240	9
15	3154	9
16	5001	9

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite26.0ms

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-*r/` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `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 → 79

Calls

4 calls:

10.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
35.0ms	(+ 2.30753 (* x 0.27061))
59.0ms	(* x (+ 0.99229 (* x 0.04481)))
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify78.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	441	781
1	1821	736
2	5002	736

prune208.0ms

Filtered

91 candidates to 68 candidates (74.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	2	92

Merged error: 0.0b

Counts

92 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
2.7b	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
20.0b	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
31×	`add-sqr-sqrt`
25×	`add-exp-log` `times-frac` `add-cbrt-cube`
24×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-l`
19×	`pow-prod-down`
18×	`associate-*r/`
11×	`prod-exp` `cbrt-unprod`
8×	`flip3-+` `flip-+`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `difference-of-squares`
6×	`frac-times`
4×	`flip3--` `associate-/r*` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `add-log-exp`
3×	`associate-l/` `-commutative` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `pow-plus` `div-exp` `div-inv` `associate-/l/`
1×	`pow2` `frac-2neg` `swap-sqr` `clear-num`

Counts

4 → 148

Calls

4 calls:

5.0ms	(* x (+ 0.99229 (* x 0.04481)))
11.0ms	(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
8.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
13.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* x (+ 0.99229 (* x 0.04481)))
37.0ms	(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
72.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
115.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify124.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	785	2202
1	4228	1980
2	5002	1980

prune351.0ms

Filtered

160 candidates to 103 candidates (64.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	160	2	162

Merged error: 0.0b

Counts

162 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.70711 (- (* 6.039053782637804 (/ 1 x)) (+ (* 82.23527511657369 (/ 1 (pow x 2))) x)))
0.2b	(* 82.23527511657369 (/ 1 (pow x 2)))
0.3b	(* 6.039053782637804 (/ 1 x))
0.5b	(/ 1 (pow x 2))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
67×	`times-frac`
52×	`*-un-lft-identity`
47×	`add-cube-cbrt`
44×	`add-exp-log` `associate-r`
23×	`unpow-prod-down`
18×	`add-cbrt-cube`
15×	`prod-exp`
14×	`div-exp`
13×	`unswap-sqr`
10×	`pow1` `associate-*r/`
9×	`associate-l` `unpow2` `sqr-pow`
8×	`associate-/r*`
7×	`rec-exp` `1-exp`
6×	`pow-to-exp` `pow-exp`
5×	`cbrt-unprod`
4×	`un-div-inv` `frac-sub` `add-log-exp`
3×	`cbrt-undiv` `pow-prod-down` `-commutative` `div-inv` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `flip-+`
1×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `flip--` `inv-pow`

Counts

4 → 184

Calls

4 calls:

15.0ms	(* 0.70711 (- (* 6.039053782637804 (/ 1 x)) (+ (* 82.23527511657369 (/ 1 (pow x 2))) x)))
12.0ms	(* 82.23527511657369 (/ 1 (pow x 2)))
12.0ms	(* 6.039053782637804 (/ 1 x))
5.0ms	(/ 1 (pow x 2))

series104.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 0.70711 (- (* 6.039053782637804 (/ 1 x)) (+ (* 82.23527511657369 (/ 1 (pow x 2))) x)))
30.0ms	(* 82.23527511657369 (/ 1 (pow x 2)))
17.0ms	(* 6.039053782637804 (/ 1 x))
16.0ms	(/ 1 (pow x 2))

simplify85.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	696	1070
1	3247	880
2	5001	787

prune265.0ms

Filtered

196 candidates to 105 candidates (53.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	196	2	198

Merged error: 0.0b

Counts

198 → 2

regimes23.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 16.4b

bsearch177.0ms

Steps

Iters	Range		Point
10	6.398614580632226	3002406562115.273	151481.64653692234
11	-55383.34621353126	-7.66540900750845e-16	-52744.78345603517

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	27
1	54	27

end0.0ms

sample468.0ms

Algorithm

intervals

Results

366.0ms

8000×

body

valid