Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	24	12
3	28	12
done	28	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
19.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 1.1283791670955126 (exp z))
36.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
69.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify463.0ms

Counts

96 → 96

Iterations

Useful iterations: done (460.0ms)

Iter	Nodes	Cost
0	153	1249
1	362	1179
2	1202	1105
done	5001	1098

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
18×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r*`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `fma-def` `associate-r` `associate-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `flip3--` `pow-flip` `flip3-+` `1-exp` `pow-prod-down` `sum-log` `*-commutative` `flip--` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

7.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(/ (* 1.1283791670955126 (exp z)) y)
28.0ms	(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
15.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

series141.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
20.0ms	(/ (* 1.1283791670955126 (exp z)) y)
42.0ms	(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x)))
62.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) x))

simplify708.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	186	1430
1	432	1309
2	1674	1210
done	5000	1210

prune235.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (exp z) y) 1.1283791670955126 x)
0.2b	(* 1.1283791670955126 (/ (exp z) y))
0.3b	(/ 1 (* (- (* 1.1283791670955126 (/ (exp z) y)) x) (fma (/ (exp z) y) 1.1283791670955126 x)))
23.8b	(* (/ 1 (* (- (* 1.1283791670955126 (/ (exp z) y)) x) (fma (/ (exp z) y) 1.1283791670955126 x))) (+ (/ (* 1.1283791670955126 (exp z)) y) x))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
24×	`add-sqr-sqrt`
23×	`add-cbrt-cube`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt` `associate-r`
16×	`times-frac`
15×	`prod-exp`
12×	`associate-l`
11×	`pow1`
9×	`div-exp`
7×	`cbrt-unprod`
5×	`cbrt-undiv` `associate-*l/`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-r/` `pow-prod-down` `div-inv` `associate-/l` `unswap-sqr`
2×	`frac-times` `flip3--` `pow-flip` `flip3-+` `*-commutative` `flip--` `flip-+`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r*` `fma-udef` `distribute-lft-out` `inv-pow`

Counts

4 → 118

Calls

4 calls:

0.0ms	(fma (/ (exp z) y) 1.1283791670955126 x)
9.0ms	(* 1.1283791670955126 (/ (exp z) y))
18.0ms	(/ 1 (* (- (* 1.1283791670955126 (/ (exp z) y)) x) (fma (/ (exp z) y) 1.1283791670955126 x)))
83.0ms	(* (/ 1 (* (- (* 1.1283791670955126 (/ (exp z) y)) x) (fma (/ (exp z) y) 1.1283791670955126 x))) (+ (/ (* 1.1283791670955126 (exp z)) y) x))

series281.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma (/ (exp z) y) 1.1283791670955126 x)
20.0ms	(* 1.1283791670955126 (/ (exp z) y))
86.0ms	(/ 1 (* (- (* 1.1283791670955126 (/ (exp z) y)) x) (fma (/ (exp z) y) 1.1283791670955126 x)))
129.0ms	(* (/ 1 (* (- (* 1.1283791670955126 (/ (exp z) y)) x) (fma (/ (exp z) y) 1.1283791670955126 x))) (+ (/ (* 1.1283791670955126 (exp z)) y) x))

simplify1.6s

Counts

130 → 130

Iterations

Useful iterations: 2 (277.0ms)

Iter	Nodes	Cost
0	241	2725
1	701	2514
2	3590	2146
done	5000	2146

prune341.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	15	12
done	15	12

end0.0ms

sample414.0ms

Algorithm

intervals

Results

245.0ms

8000×

body

valid