Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

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))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite92.0ms

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:

39.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
12.0ms	(* 1.1283791670955126 (exp z))
20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
19.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(* 1.1283791670955126 (exp z))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
79.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify753.0ms

Counts

83 → 83

Iterations

Useful iterations: done (749.0ms)

Iter	Nodes	Cost
0	141	1154
1	343	1094
2	1242	1022
done	5001	1018

prune286.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

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))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.3b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite170.0ms

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:

62.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
33.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
19.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
48.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series301.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
66.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
81.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
100.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.7s

Counts

143 → 143

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	223	2802
1	598	2541
2	2958	2408
done	5000	2172

prune404.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

26.0ms	(+ x (/ 1 (* 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
26.0ms	(- (/ (* 1.1283791670955126 (exp z)) y) x)
14.0ms	(/ (* 1.1283791670955126 (exp z)) y)
44.0ms	(/ 1 (* 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ x (/ 1 (* 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))))
64.0ms	(- (/ (* 1.1283791670955126 (exp z)) y) x)
35.0ms	(/ (* 1.1283791670955126 (exp z)) y)
93.0ms	(/ 1 (* 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	168	1315
1	448	1106
2	2406	999
done	5000	996

prune259.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
23×	`add-cbrt-cube`
19×	`prod-exp`
17×	`add-sqr-sqrt`
16×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
12×	`times-frac`
10×	`div-exp`
8×	`1-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`rec-exp` `pow-prod-down`
4×	`cbrt-undiv` `associate-l`
3×	`associate-r/` `associate-/l`
2×	`flip3--` `pow-flip` `associate-/r/` `*-commutative` `flip--` `div-inv`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

58.0ms	(- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x)
20.0ms	(* 1.1283791670955126 (exp z))
144.0ms	(/ 1 (* 1 (- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x)))
37.0ms	(* (* 1.1283791670955126 (exp z)) (/ 1 y))

series205.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x)
18.0ms	(* 1.1283791670955126 (exp z))
93.0ms	(/ 1 (* 1 (- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x)))
34.0ms	(* (* 1.1283791670955126 (exp z)) (/ 1 y))

simplify3.0s

Counts

113 → 113

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	190	1450
1	542	1250
2	3403	964
done	5001	954

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	16
1	19	14
2	20	14
done	20	14

end0.0ms

sample840.0ms

Algorithm

intervals

Results

516.0ms

8000×

body

valid