Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

268×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	35	17
3	60	17
4	103	17
5	240	17
6	683	17
7	2698	17
done	5001	17

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
1.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite354.0ms

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:

59.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
17.0ms	(- (* y z) x)
209.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
65.0ms	(/ (- (* y z) x) (- (* t z) x))

series471.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
30.0ms	(- (* y z) x)
192.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
86.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.1s

Counts

110 → 110

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	158	2130
1	412	2046
2	1747	1922
done	5000	1920

prune452.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.4b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
1.0b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
7.3b	(/ (- (* t z) x) (- (* y z) x))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 173

Calls

4 calls:

18.0ms	(- (* y z) x)
37.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
318.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
54.0ms	(/ (- (* t z) x) (- (* y z) x))

series454.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* y z) x)
112.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
219.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
83.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify2.2s

Counts

185 → 185

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	260	4118
1	681	3838
2	3477	3616
done	5001	3457

prune566.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (- (* y z) x))
0.2b	(/ 1 (- (* t z) x))
1.0b	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
7.4b	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

rewrite644.0ms

Algorithm

rewrite-expression-head

Rules

547×	`times-frac`
274×	`*-un-lft-identity`
254×	`add-sqr-sqrt` `add-cube-cbrt`
71×	`associate-/r/`
54×	`add-exp-log`
37×	`div-exp`
36×	`div-inv`
34×	`flip3--` `flip--`
25×	`associate-/r` `associate-/l`
22×	`add-cbrt-cube`
11×	`cbrt-undiv`
10×	`rec-exp` `1-exp` `distribute-lft-out`
6×	`pow1`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`associate-/l/`
2×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

4 → 393

Calls

4 calls:

28.0ms	(/ 1 (- (* y z) x))
17.0ms	(/ 1 (- (* t z) x))
515.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
55.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

series432.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (- (* y z) x))
37.0ms	(/ 1 (- (* t z) x))
222.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
134.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

simplify1.2s

Counts

405 → 405

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	587	11894
1	2019	10222
done	5000	9550

prune805.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (- (* y z) x))
0.4b	(/ (/ (sqrt 1) 1) (* (/ 1 (- (* y z) x)) (- (* t z) x)))
1.0b	(/ (+ x (/ (/ (sqrt 1) 1) (* (/ 1 (- (* y z) x)) (- (* t z) x)))) (+ x 1.0))
7.3b	(* (/ 1 (- (* y z) x)) (- (* t z) x))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

94×	`times-frac`
77×	`*-un-lft-identity`
69×	`add-exp-log`
63×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
36×	`div-exp`
34×	`add-cbrt-cube`
29×	`associate-/l*`
18×	`sqrt-prod`
16×	`prod-exp`
15×	`associate-l`
14×	`cbrt-undiv`
11×	`associate-/r/`
10×	`1-exp` `distribute-lft-out`
8×	`associate-/r*`
7×	`pow1`
6×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
5×	`rec-exp`
4×	`frac-times` `associate-*r/` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num` `associate-/l/` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `associate-*l/` `flip-+`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 200

Calls

4 calls:

17.0ms	(/ 1 (- (* y z) x))
39.0ms	(/ (/ (sqrt 1) 1) (* (/ 1 (- (* y z) x)) (- (* t z) x)))
226.0ms	(/ (+ x (/ (/ (sqrt 1) 1) (* (/ 1 (- (* y z) x)) (- (* t z) x)))) (+ x 1.0))
70.0ms	(* (/ 1 (- (* y z) x)) (- (* t z) x))

series429.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (- (* y z) x))
83.0ms	(/ (/ (sqrt 1) 1) (* (/ 1 (- (* y z) x)) (- (* t z) x)))
197.0ms	(/ (+ x (/ (/ (sqrt 1) 1) (* (/ 1 (- (* y z) x)) (- (* t z) x)))) (+ x 1.0))
115.0ms	(* (/ 1 (- (* y z) x)) (- (* t z) x))

simplify603.0ms

Counts

212 → 212

Iterations

Useful iterations: done (588.0ms)

Iter	Nodes	Cost
0	317	4747
1	985	3503
done	5000	2976

prune630.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.7b

regimes320.0ms

Accuracy

57.6% (2.6b remaining)

Error of 3.5b against oracle of 0.9b and baseline of 7.1b

bsearch118.0ms

Steps

Iters	Range		Point
9	6.0823653822967506e+144	2.0032324652076645e+152	6.158470310373083e+144
8	-8.684978725317651e+167	-5.390693527040893e+163	-8.114676354067779e+166

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	43
1	30	35
done	30	35

end0.0ms

sample1.2s

Algorithm

intervals

Results

731.0ms

8306×

body

valid