Details

sample53.0ms

Algorithm

intervals

Results

26.0ms

261×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3253
7	1321
6	488
5	206
4	113
3	64
2	39
1	25
0	13

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize44.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
7×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
5×	`add-log-exp`
4×	`associate-/r/` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `flip3--` `div-sub` `prod-diff` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`associate-+r-` `sub-neg` `fma-neg` `diff-log`

Counts

3 → 95

Calls

3 calls:

7.0ms	(- (* y z) x)
147.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
47.0ms	(/ (- (* y z) x) (- (* t z) x))

series343.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (* y z) x)
198.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
97.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1420
1	463
0	175

prune696.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.7b	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
1.1b	(/ x (- (* t z) x))
9.7b	(/ (* y z) (- (* t z) x))

rewrite990.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
159×	`*-un-lft-identity`
135×	`prod-diff`
125×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
60×	`associate-/r/`
30×	`flip3--` `div-inv` `flip--`
16×	`distribute-lft-out`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r*`
9×	`fma-neg` `associate-/l*`
6×	`distribute-lft-out--` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `distribute-rgt-out--`
2×	`flip3-+` `flip-+` `difference-of-squares` `associate-/l/`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub` `prod-exp` `frac-sub` `cbrt-unprod` `sub-div`

Counts

4 → 270

Calls

4 calls:

138.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
801.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
21.0ms	(/ x (- (* t z) x))
15.0ms	(/ (* y z) (- (* t z) x))

series491.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
196.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
88.0ms	(/ x (- (* t z) x))
76.0ms	(/ (* y z) (- (* t z) x))

simplify2.8s

Counts

282 → 282

Iterations

Iter	Nodes
done	5006
2	3151
1	1024
0	402

prune1.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
1.1b	(/ x (- (* t z) x))
3.3b	(/ y (/ (- (* t z) x) z))
5.2b	(/ (- (* t z) x) z)

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
110×	`*-un-lft-identity`
73×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/l*`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`
2×	`flip3-+` `flip3--` `div-sub` `flip-+` `flip--`
1×	`associate-+r-`

Counts

4 → 183

Calls

4 calls:

976.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
11.0ms	(/ x (- (* t z) x))
13.0ms	(/ y (/ (- (* t z) x) z))
16.0ms	(/ (- (* t z) x) z)

series429.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
81.0ms	(/ x (- (* t z) x))
72.0ms	(/ y (/ (- (* t z) x) z))
73.0ms	(/ (- (* t z) x) z)

simplify2.2s

Counts

195 → 195

Iterations

Iter	Nodes
done	5002
2	2593
1	746
0	292

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (/ x z))
0.7b	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
1.1b	(/ x (- (* t z) x))
3.3b	(/ y (- t (/ x z)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
94×	`add-sqr-sqrt`
79×	`times-frac`
69×	`add-cube-cbrt`
39×	`prod-diff`
16×	`distribute-lft-out`
13×	`associate-/r*`
11×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `fma-neg` `div-exp` `flip--`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub`

Counts

4 → 181

Calls

4 calls:

11.0ms	(- t (/ x z))
1.1s	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
14.0ms	(/ x (- (* t z) x))
17.0ms	(/ y (- t (/ x z)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- t (/ x z))
209.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
109.0ms	(/ x (- (* t z) x))
41.0ms	(/ y (- t (/ x z)))

simplify2.6s

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
2	2397
1	793
0	334

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

regimes421.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

870.0ms

8317×

body

valid