Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

266×

body

valid

simplify513.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.6b	(/ (- (* y z) x) (- (* t z) x))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

12.0ms	(- (* t z) x)
58.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
131.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
30.0ms	(/ (- (* y z) x) (- (* t z) x))

series440.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* t z) x)
137.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
183.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
83.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify602.0ms

Counts: 110 → 110

prune443.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
0.3b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.7b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
9.4b	(/ (- (* t z) x) (- (* y z) x))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
97×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
18×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube` `div-inv`
11×	`associate-/l*`
9×	`div-exp`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`rec-exp` `1-exp`
1×	`+-commutative` `pow-flip` `div-sub` `sum-log` `inv-pow`

Counts

4 → 174

Calls

4 calls:

59.0ms	(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
29.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
186.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
29.0ms	(/ (- (* t z) x) (- (* y z) x))

series624.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
135.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
247.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
90.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify1.0s

Counts: 186 → 186

prune557.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.4b

localize41.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (- (* y z) x))
8.4b	(cbrt (- (* t z) x))
8.4b	(cbrt (- (* t z) x))
8.4b	(cbrt (- (* t z) x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

17.0ms	(cbrt (- (* y z) x))
10.0ms	(cbrt (- (* t z) x))
10.0ms	(cbrt (- (* t z) x))
10.0ms	(cbrt (- (* t z) x))

series584.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- (* y z) x))
137.0ms	(cbrt (- (* t z) x))
130.0ms	(cbrt (- (* t z) x))
173.0ms	(cbrt (- (* t z) x))

simplify1.5s

Counts: 64 → 64

prune380.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y t))
3.4b	(/ (+ x (/ y t)) (+ x 1.0))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow1` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

26.0ms	(+ x (/ y t))
62.0ms	(/ (+ x (/ y t)) (+ x 1.0))

series70.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (/ y t))
46.0ms	(/ (+ x (/ y t)) (+ x 1.0))

simplify858.0ms

Counts: 58 → 58

prune121.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.4b

regimes204.0ms

Accuracy

58.7% (2.8b remaining)

Error of 3.7b against oracle of 0.9b and baseline of 7.6b

bsearch138.0ms

Steps

Iters	Range		Point
8	7.796481918468227e+115	2.3912969853738897e+119	6.161388123871168e+118
10	-6.1264782138472064e+206	-3.136879348654662e+196	-3.1681135153212895e+196

simplify659.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

8333×

body

valid