Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

319×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3848
6	1000
5	476
4	254
3	110
2	46
1	22
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.25 (/ (- z x) y))
0.0b	(+ (* (- 0.25 (/ (- z x) y)) 4.0) 1.0)
0.0b	(/ (- z x) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `distribute-lft-out--`
3×	`pow1` `associate-/r*`
2×	`flip3--` `div-sub` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv` `associate--r-`

Counts

3 → 65

Calls

3 calls:

16.0ms	(- 0.25 (/ (- z x) y))
27.0ms	(+ (* (- 0.25 (/ (- z x) y)) 4.0) 1.0)
12.0ms	(/ (- z x) y)

series82.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(- 0.25 (/ (- z x) y))
32.0ms	(+ (* (- 0.25 (/ (- z x) y)) 4.0) 1.0)
32.0ms	(/ (- z x) y)

simplify533.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1034
1	322
0	132

prune282.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
0.0b	(* 4.0 (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`times-frac`
12×	`associate-r`
9×	`add-cube-cbrt`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-inv`
3×	`associate-l`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

9.0ms	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
99.0ms	(* 4.0 (- (/ x y) (/ z y)))
26.0ms	(- (/ x y) (/ z y))

series100.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ 2.0 (* 4.0 (- (/ x y) (/ z y))))
44.0ms	(* 4.0 (- (/ x y) (/ z y)))
26.0ms	(- (/ x y) (/ z y))

simplify551.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1054
1	328
0	125

prune411.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ x z))
0.0b	(+ (* (- 0.25 (/ (- (* z z) (* x x)) (* y (+ x z)))) 4.0) 1.0)
2.8b	(- (* z z) (* x x))
28.6b	(/ (- (* z z) (* x x)) (* y (+ x z)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

24.0ms	(* y (+ x z))
41.0ms	(+ (* (- 0.25 (/ (- (* z z) (* x x)) (* y (+ x z)))) 4.0) 1.0)
9.0ms	(- (* z z) (* x x))
24.0ms	(/ (- (* z z) (* x x)) (* y (+ x z)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (+ x z))
76.0ms	(+ (* (- 0.25 (/ (- (* z z) (* x x)) (* y (+ x z)))) 4.0) 1.0)
46.0ms	(- (* z z) (* x x))
81.0ms	(/ (- (* z z) (* x x)) (* y (+ x z)))

simplify1.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	3122
1	468
0	142

prune476.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (- 0.25 (/ (/ (- z x) (sqrt y)) (sqrt y))) 4.0) 1.0)
0.1b	(/ (- z x) (sqrt y))
0.2b	(/ (/ (- z x) (sqrt y)) (sqrt y))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

444×	`times-frac`
309×	`add-sqr-sqrt` `*-un-lft-identity`
228×	`sqrt-prod`
211×	`add-cube-cbrt`
49×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/l*`
12×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `flip-+` `flip--`

Counts

3 → 327

Calls

3 calls:

129.0ms	(+ (* (- 0.25 (/ (/ (- z x) (sqrt y)) (sqrt y))) 4.0) 1.0)
23.0ms	(/ (- z x) (sqrt y))
47.0ms	(/ (/ (- z x) (sqrt y)) (sqrt y))

series177.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* (- 0.25 (/ (/ (- z x) (sqrt y)) (sqrt y))) 4.0) 1.0)
62.0ms	(/ (- z x) (sqrt y))
53.0ms	(/ (/ (- z x) (sqrt y)) (sqrt y))

simplify1.3s

Counts

336 → 336

Iterations

Iter	Nodes
done	5000
2	3673
1	911
0	374

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

705.0ms

10020×

body

valid