Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

271×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8
done	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

7.0ms	(- (* t z) x)
118.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
26.0ms	(/ (- (* y z) x) (- (* t z) x))

series203.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (* t z) x)
120.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
59.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify45.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	380	891
1	1345	830
2	5001	829
done	5001	829

prune242.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.3b	(/ 1 (- (* t z) x))
10.3b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`prod-exp` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 122

Calls

4 calls:

7.0ms	(- (* t z) x)
29.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
16.0ms	(/ 1 (- (* t z) x))
58.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* t z) x)
120.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
24.0ms	(/ 1 (- (* t z) x))
60.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify56.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	468	1138
1	2109	1017
2	5003	986
done	5003	986

prune269.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 4 expressions with local error:

7.7b	(cbrt (- (* y z) x))
8.1b	(cbrt (- (* t z) x))
8.1b	(cbrt (- (* t z) x))
8.1b	(cbrt (- (* t z) x))

rewrite24.0ms

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:

6.0ms	(cbrt (- (* y z) x))
6.0ms	(cbrt (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))

series493.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (- (* y z) x))
127.0ms	(cbrt (- (* t z) x))
119.0ms	(cbrt (- (* t z) x))
128.0ms	(cbrt (- (* t z) x))

simplify98.0ms

Counts

64 → 64

Iterations

Useful iterations: 4 (93.0ms)

Iter	Nodes	Cost
0	245	464
1	599	436
2	1585	412
3	3798	408
4	5001	404
done	5001	404

prune279.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

7.6b	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
8.1b	(cbrt (- (* t z) x))
8.1b	(cbrt (- (* t z) x))
8.1b	(cbrt (- (* t z) x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`flip3--` `flip--`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/l/`
1×	`frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 71

Calls

4 calls:

42.0ms	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
6.0ms	(cbrt (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))

series514.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
119.0ms	(cbrt (- (* t z) x))
114.0ms	(cbrt (- (* t z) x))
114.0ms	(cbrt (- (* t z) x))

simplify109.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	455	870
1	1302	794
2	4851	752
3	5002	752
done	5002	752

prune319.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.7b

regimes248.0ms

Accuracy

72.1% (1.8b remaining)

Error of 2.6b against oracle of 0.8b and baseline of 7.2b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	28
1	30	28
done	30	28

end0.0ms

sample574.0ms

Algorithm

intervals

Results

292.0ms

8322×

body

valid