Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite97.0ms

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:

58.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
22.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
15.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
93.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1206
1	324
0	128

prune489.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

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))
7.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite128.0ms

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:

57.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
22.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
30.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series361.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
82.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
82.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
120.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.9s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	3060
1	632
0	235

prune959.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
32×	`times-frac`
18×	`add-cube-cbrt`
12×	`difference-of-squares`
11×	`add-exp-log`
10×	`associate-/r*` `add-cbrt-cube`
5×	`add-log-exp`
4×	`pow1` `div-exp` `associate-/l*` `distribute-lft-out--`
3×	`expm1-log1p-u` `cbrt-undiv` `fma-def` `associate-/r/` `log1p-expm1-u` `div-inv`
2×	`clear-num` `frac-2neg` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `sum-log` `flip3-+` `flip3--` `1-exp` `prod-exp` `frac-sub` `cbrt-unprod` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

3 → 93

Calls

3 calls:

19.0ms	(/ (* 1.1283791670955126 (exp z)) y)
81.0ms	(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))))
66.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (* 1.1283791670955126 (exp z)) y)
80.0ms	(+ x (/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))))
102.0ms	(/ 1 (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))

simplify1.5s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2169
1	454
0	191

prune631.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

139×	`add-sqr-sqrt`
137×	`times-frac`
98×	`*-un-lft-identity`
43×	`add-cube-cbrt`
36×	`difference-of-squares`
30×	`add-exp-log`
23×	`associate-/r*`
20×	`add-cbrt-cube`
16×	`div-exp`
12×	`div-inv` `distribute-lft-out--`
9×	`associate-/l*`
8×	`cbrt-undiv`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`clear-num` `fma-def` `frac-2neg`
2×	`cbrt-unprod` `pow-flip` `distribute-lft-out` `inv-pow`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `frac-sub` `flip-+` `flip--`

Counts

4 → 183

Calls

4 calls:

184.0ms	(+ x (/ 1 (- (/ 1 (/ y (* 1.1283791670955126 (exp z)))) (/ x 1))))
9.0ms	(/ y (* 1.1283791670955126 (exp z)))
95.0ms	(/ 1 (- (/ 1 (/ y (* 1.1283791670955126 (exp z)))) (/ x 1)))
31.0ms	(/ 1 (/ y (* 1.1283791670955126 (exp z))))

series232.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ x (/ 1 (- (/ 1 (/ y (* 1.1283791670955126 (exp z)))) (/ x 1))))
52.0ms	(/ y (* 1.1283791670955126 (exp z)))
79.0ms	(/ 1 (- (/ 1 (/ y (* 1.1283791670955126 (exp z)))) (/ x 1)))
49.0ms	(/ 1 (/ y (* 1.1283791670955126 (exp z))))

simplify1.7s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	3016
1	696
0	304

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
2	17
1	16
0	12

end0.0ms

sample866.0ms

Algorithm

intervals

Results

604.0ms

8000×

body

valid