Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	274
1	16	274
2	24	274
3	28	274
done	28	274

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `fma-def` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
45.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
25.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series228.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
61.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
101.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	128	25073
1	324	22978
2	1205	22683
done	5001	22643

prune435.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
7.3b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`*-un-lft-identity`
55×	`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×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u`
3×	`fma-def`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `distribute-lft-out` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `prod-diff` `associate-/r/` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 144

Calls

4 calls:

9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
52.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
17.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
26.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series266.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
55.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
55.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
78.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify2.1s

Counts

156 → 156

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	235	66112
1	632	57909
2	3168	57244
done	5001	57059

prune843.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

49.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
16.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
21.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
23.0ms	(* 1.1283791670955126 (/ (exp z) y))

series244.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
75.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
77.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
23.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify1.7s

Counts

117 → 117

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	201	35915
1	505	31695
2	1966	30713
done	5001	30663

prune642.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.3b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
2.4b	(fma y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) x)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-exp-log`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `div-exp` `associate-/r/` `flip--`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `1-exp` `prod-diff` `fma-udef` `div-inv` `pow-flip` `inv-pow`

Counts

3 → 61

Calls

3 calls:

12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
30.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
1.0ms	(fma y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) x)

series327.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
93.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
164.0ms	(fma y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) x)

simplify832.0ms

Counts

70 → 70

Iterations

Useful iterations: done (824.0ms)

Iter	Nodes	Cost
0	120	24105
1	277	20567
2	1119	20342
done	5001	20302

prune285.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes298.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	275
1	15	275
done	15	275

end0.0ms

sample775.0ms

Algorithm

intervals

Results

520.0ms

8000×

body

valid