Details

sample53.0ms

Algorithm

intervals

Results

25.0ms

266×

body

valid

simplify4.8s

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: 8.6b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite244.0ms

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:

14.0ms	(- (* y z) x)
178.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
46.0ms	(/ (- (* y z) x) (- (* t z) x))

series298.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (* y z) x)
175.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
89.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.5s

Counts

94 → 94

Iterations

Useful iterations: 3 (970.0ms)

Iter	Nodes	Cost
0	152	1846
1	384	1797
2	1160	1685
3	3466	1671
done	5000	1671

prune349.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
2.1b	(* y (/ z (- (* t z) x)))
3.9b	(/ x (- (* t z) x))
8.3b	(/ z (- (* t z) x))

rewrite375.0ms

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-r` `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-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

292.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
45.0ms	(* y (/ z (- (* t z) x)))
14.0ms	(/ x (- (* t z) x))
14.0ms	(/ z (- (* t z) x))

series358.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
54.0ms	(* y (/ z (- (* t z) x)))
76.0ms	(/ x (- (* t z) x))
64.0ms	(/ z (- (* t z) x))

simplify2.1s

Counts

145 → 145

Iterations

Useful iterations: 2 (268.0ms)

Iter	Nodes	Cost
0	205	2667
1	471	2589
2	1325	2389
3	3874	2389
done	5000	2389

prune511.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (- (* y (/ z (- (* t z) x))) (* x (/ 1 (- (* t z) x))))) (+ x 1.0))
2.1b	(* y (/ z (- (* t z) x)))
3.8b	(* x (/ 1 (- (* t z) x)))
8.3b	(/ z (- (* t z) x))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
46×	`times-frac`
38×	`add-cube-cbrt`
30×	`associate-r`
22×	`add-exp-log`
18×	`add-cbrt-cube`
10×	`distribute-lft-out`
8×	`pow1` `associate-/r/`
7×	`associate-/r` `associate-/l`
6×	`associate-l` `prod-exp`
5×	`div-exp` `unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+` `associate-/l/`
1×	`associate-+r-` `rec-exp` `1-exp` `div-sub` `un-div-inv`

Counts

4 → 142

Calls

4 calls:

189.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (* x (/ 1 (- (* t z) x))))) (+ x 1.0))
79.0ms	(* y (/ z (- (* t z) x)))
76.0ms	(* x (/ 1 (- (* t z) x)))
29.0ms	(/ z (- (* t z) x))

series330.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (* x (/ 1 (- (* t z) x))))) (+ x 1.0))
59.0ms	(* y (/ z (- (* t z) x)))
61.0ms	(* x (/ 1 (- (* t z) x)))
50.0ms	(/ z (- (* t z) x))

simplify2.4s

Counts

154 → 154

Iterations

Useful iterations: 2 (297.0ms)

Iter	Nodes	Cost
0	230	2895
1	554	2615
2	1471	2383
3	4348	2383
done	5002	2383

prune619.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ x (- (* t z) x))
8.3b	(/ z (- (* t z) x))
8.3b	(/ z (- (* t z) x))
8.3b	(/ z (- (* t z) x))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
12×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
8×	`associate-/r/`
4×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

4 → 116

Calls

4 calls:

21.0ms	(/ x (- (* t z) x))
14.0ms	(/ z (- (* t z) x))
34.0ms	(/ z (- (* t z) x))
23.0ms	(/ z (- (* t z) x))

series258.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ x (- (* t z) x))
51.0ms	(/ z (- (* t z) x))
50.0ms	(/ z (- (* t z) x))
58.0ms	(/ z (- (* t z) x))

simplify1.9s

Counts

128 → 128

Iterations

Useful iterations: 4 (824.0ms)

Iter	Nodes	Cost
0	98	1512
1	199	1474
2	475	1364
3	956	1364
4	2328	1348
done	5001	1348

prune757.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

regimes160.0ms

Accuracy

0% (2.1b remaining)

Error of 2.4b against oracle of 0.3b and baseline of 2.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

8336×

body

valid