Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
2	22	12
done	22	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

17.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms	(* 1.1283791670955126 (exp z))
66.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
86.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.3s

Counts

83 → 83

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	141	1154
1	330	1094
2	830	1022
3	2082	1014
done	5001	1013

prune238.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.1b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 131

Calls

4 calls:

29.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series255.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
61.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
62.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
84.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify2.1s

Counts

143 → 143

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	223	2802
1	547	2541
2	1273	2271
3	3449	2168
done	5001	2167

prune552.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (exp z))
0.0b	(- (/ 1.1283791670955126 (/ y (exp z))) x)
0.0b	(+ x (/ 1 (- (/ 1.1283791670955126 (/ y (exp z))) x)))
0.1b	(/ 1 (- (/ 1.1283791670955126 (/ y (exp z))) x))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
45×	`times-frac`
37×	`*-un-lft-identity`
24×	`add-cube-cbrt`
15×	`difference-of-squares`
10×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `add-log-exp`
6×	`associate-/l*`
5×	`pow1` `distribute-lft-out--`
3×	`div-exp` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `rec-exp` `pow-flip` `flip3-+` `diff-log` `1-exp` `sum-log` `flip-+` `inv-pow`

Counts

4 → 105

Calls

4 calls:

3.0ms	(/ y (exp z))
37.0ms	(- (/ 1.1283791670955126 (/ y (exp z))) x)
75.0ms	(+ x (/ 1 (- (/ 1.1283791670955126 (/ y (exp z))) x)))
47.0ms	(/ 1 (- (/ 1.1283791670955126 (/ y (exp z))) x))

series190.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ y (exp z))
49.0ms	(- (/ 1.1283791670955126 (/ y (exp z))) x)
37.0ms	(+ x (/ 1 (- (/ 1.1283791670955126 (/ y (exp z))) x)))
75.0ms	(/ 1 (- (/ 1.1283791670955126 (/ y (exp z))) x))

simplify1.4s

Counts

117 → 117

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	196	1723
1	412	1593
2	855	1510
3	2157	1498
done	5000	1497

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.3b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0b	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
18×	`add-exp-log` `associate-l`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-r` `add-log-exp`
5×	`prod-exp`
4×	`div-exp` `associate-/r/` `unswap-sqr`
3×	`flip3--` `associate-/r` `flip--` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*l/` `clear-num` `inv-pow`

Counts

4 → 100

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
9.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

series205.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 1.1283791670955126 (exp z))
67.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
58.0ms	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

simplify1.5s

Counts

112 → 112

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	164	1546
1	385	1397
2	948	1259
3	2831	1247
done	5000	1246

prune270.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

82.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch96.0ms

Steps

Iters	Range		Point
7	6.203365364386331e-90	1.0193478545731616e-88	1.0094249434383811e-88
9	-511708.7274343749	-0.04390830018224924	-744.9862889647827

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	50
1	34	36
done	34	36

end0.0ms

sample434.0ms

Algorithm

intervals

Results

264.0ms

8000×

body

valid