Details

sample41.0ms

Algorithm

intervals

Results

19.0ms

266×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	35	17
3	60	17
4	103	17
5	178	17
6	362	17
7	829	17
8	2007	17
done	5001	17

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

13.0ms	(- (* y z) x)
13.0ms	(- (* t z) x)
171.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
51.0ms	(/ (- (* y z) x) (- (* t z) x))

series310.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* y z) x)
26.0ms	(- (* t z) x)
161.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
97.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.8s

Counts

109 → 109

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	159	1974
1	400	1922
2	1188	1790
3	3498	1784
done	5001	1784

prune313.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (- (* (/ z (- (* t z) x)) y) (/ x (- (* t z) x)))) (+ x 1.0))
3.2b	(* (/ z (- (* t z) x)) y)
3.2b	(/ x (- (* t z) x))
8.1b	(/ z (- (* t z) x))

rewrite461.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-l` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-r` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 133

Calls

4 calls:

357.0ms	(/ (+ x (- (* (/ z (- (* t z) x)) y) (/ x (- (* t z) x)))) (+ x 1.0))
64.0ms	(* (/ z (- (* t z) x)) y)
14.0ms	(/ x (- (* t z) x))
21.0ms	(/ z (- (* t z) x))

series429.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(/ (+ x (- (* (/ z (- (* t z) x)) y) (/ x (- (* t z) x)))) (+ x 1.0))
76.0ms	(* (/ z (- (* t z) x)) y)
103.0ms	(/ x (- (* t z) x))
38.0ms	(/ z (- (* t z) x))

simplify2.5s

Counts

145 → 145

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	210	2653
1	487	2585
2	1385	2383
3	4034	2381
done	5000	2381

prune643.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (- (* (/ z (- (* t z) x)) y) (/ x (- (* t z) x)))) (+ x 1.0))
3.2b	(* (/ z (- (* t z) x)) y)
3.2b	(/ x (- (* t z) x))
8.1b	(/ z (- (* t z) x))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-l` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-r` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 133

Calls

4 calls:

349.0ms	(/ (+ x (- (* (/ z (- (* t z) x)) y) (/ x (- (* t z) x)))) (+ x 1.0))
76.0ms	(* (/ z (- (* t z) x)) y)
28.0ms	(/ x (- (* t z) x))
17.0ms	(/ z (- (* t z) x))

series475.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(/ (+ x (- (* (/ z (- (* t z) x)) y) (/ x (- (* t z) x)))) (+ x 1.0))
100.0ms	(* (/ z (- (* t z) x)) y)
92.0ms	(/ x (- (* t z) x))
57.0ms	(/ z (- (* t z) x))

simplify2.4s

Counts

145 → 145

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	210	2653
1	487	2585
2	1385	2383
3	4034	2381
done	5000	2381

prune567.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* t z) x))) y)
3.2b	(/ x (- (* t z) x))
3.5b	(/ (cbrt z) (- (* t z) x))
4.7b	(* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* t z) x)))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

47×	`times-frac`
46×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
38×	`add-exp-log`
27×	`associate-r`
25×	`add-cbrt-cube`
22×	`cbrt-prod`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down` `associate-/l*`
6×	`cbrt-undiv` `div-exp` `associate-/r*` `associate-/r/`
4×	`add-log-exp`
3×	`flip3--` `flip--` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`
1×	`associate-*l/`

Counts

4 → 143

Calls

4 calls:

155.0ms	(* (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* t z) x))) y)
14.0ms	(/ x (- (* t z) x))
17.0ms	(/ (cbrt z) (- (* t z) x))
123.0ms	(* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* t z) x)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* t z) x))) y)
89.0ms	(/ x (- (* t z) x))
170.0ms	(/ (cbrt z) (- (* t z) x))
72.0ms	(* (* (cbrt z) (cbrt z)) (/ (cbrt z) (- (* t z) x)))

simplify2.6s

Counts

155 → 155

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	193	2486
1	489	2405
2	1881	1935
done	5000	1775

prune789.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes216.0ms

Accuracy

0% (2.0b remaining)

Error of 2.3b against oracle of 0.4b and baseline of 2.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	16	25
1	22	23
done	22	23

end0.0ms

sample1.3s

Algorithm

intervals

Results

809.0ms

8309×

body

valid