Details

sample75.0ms

Algorithm

intervals

Results

26.0ms

375×

body

valid

simplify36.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	24
1	18
0	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize102.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

18.0ms	(+ (* x y) (* z t))
112.0ms	(+ (+ (* x y) (* z t)) (* a b))

series567.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(+ (* x y) (* z t))
478.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify5.5s

Counts

30 → 30

Iterations

Iter	Nodes
done	5050
3	2975
2	803
1	187
0	57

prune534.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

17.0ms	(+ (* x y) (* z t))
84.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
16.0ms	(sqrt (+ (* x y) (* z t)))
44.0ms	(sqrt (+ (* x y) (* z t)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (* x y) (* z t))
92.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
141.0ms	(sqrt (+ (* x y) (* z t)))
144.0ms	(sqrt (+ (* x y) (* z t)))

simplify6.0s

Counts

110 → 110

Iterations

Iter	Nodes
done	5024
3	2336
2	696
1	261
0	106

prune2.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize121.0ms

Local error

Found 4 expressions with local error:

0.8b	(- (* (* t z) (* t z)) (* (* y x) (- (* t z) (* y x))))
2.0b	(+ (* (* t z) (* (* t z) (* t z))) (* (* y x) (* (* y x) (* y x))))
2.4b	(* (* y x) (- (* t z) (* y x)))
38.2b	(/ (+ (* (* t z) (* (* t z) (* t z))) (* (* y x) (* (* y x) (* y x)))) (- (* (* t z) (* t z)) (* (* y x) (- (* t z) (* y x)))))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

53.0ms	(- (* (* t z) (* t z)) (* (* y x) (- (* t z) (* y x))))
547.0ms	(+ (* (* t z) (* (* t z) (* t z))) (* (* y x) (* (* y x) (* y x))))
77.0ms	(* (* y x) (- (* t z) (* y x)))
1.4s	(/ (+ (* (* t z) (* (* t z) (* t z))) (* (* y x) (* (* y x) (* y x)))) (- (* (* t z) (* t z)) (* (* y x) (- (* t z) (* y x)))))

series2.0s

Counts

4 → 12

Calls

4 calls:

488.0ms	(- (* (* t z) (* t z)) (* (* y x) (- (* t z) (* y x))))
573.0ms	(+ (* (* t z) (* (* t z) (* t z))) (* (* y x) (* (* y x) (* y x))))
384.0ms	(* (* y x) (- (* t z) (* y x)))
595.0ms	(/ (+ (* (* t z) (* (* t z) (* t z))) (* (* y x) (* (* y x) (* y x)))) (- (* (* t z) (* t z)) (* (* y x) (- (* t z) (* y x)))))

simplify5.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	2284
1	486
0	170

prune2.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes2.8s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.2s

11901×

body

valid