Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

450×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 7 (493.0ms)

Iter	Nodes	Cost
0	11	15
1	22	15
2	55	15
3	100	15
4	181	15
5	330	15
6	715	15
7	1555	13
8	4529	13
done	5000	13

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (/ (- (* z z) (* x x)) y))
0.4b	(/ (- y (/ (- (* z z) (* x x)) y)) 2.0)
1.7b	(- (* z z) (* x x))
11.3b	(/ (- (* z z) (* x x)) y)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
35×	`times-frac`
34×	`*-un-lft-identity`
24×	`add-cube-cbrt`
15×	`difference-of-squares`
10×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`pow1` `flip3--` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`
1×	`associate--r-`

Counts

4 → 105

Calls

4 calls:

18.0ms	(- y (/ (- (* z z) (* x x)) y))
58.0ms	(/ (- y (/ (- (* z z) (* x x)) y)) 2.0)
10.0ms	(- (* z z) (* x x))
19.0ms	(/ (- (* z z) (* x x)) y)

series185.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- y (/ (- (* z z) (* x x)) y))
56.0ms	(/ (- y (/ (- (* z z) (* x x)) y)) 2.0)
35.0ms	(- (* z z) (* x x))
50.0ms	(/ (- (* z z) (* x x)) y)

simplify1.9s

Counts

117 → 117

Iterations

Useful iterations: 3 (897.0ms)

Iter	Nodes	Cost
0	179	2081
1	434	1993
2	1225	1863
3	4679	1851
done	5002	1851

prune257.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (* (+ z x) (/ (- z x) y)))
0.0b	(/ (- z x) y)
0.2b	(* (+ z x) (/ (- z x) y))
0.4b	(/ (- y (* (+ z x) (/ (- z x) y))) 2.0)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
40×	`times-frac`
32×	`add-cube-cbrt`
19×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-l` `associate-/l/`
3×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `div-inv`
2×	`frac-times` `frac-2neg` `flip3-+` `div-sub` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`sub-neg` `diff-log` `associate-r/` `pow-prod-down` `-commutative` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

5.0ms	(- y (* (+ z x) (/ (- z x) y)))
16.0ms	(/ (- z x) y)
38.0ms	(* (+ z x) (/ (- z x) y))
17.0ms	(/ (- y (* (+ z x) (/ (- z x) y))) 2.0)

series180.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- y (* (+ z x) (/ (- z x) y)))
27.0ms	(/ (- z x) y)
54.0ms	(* (+ z x) (/ (- z x) y))
57.0ms	(/ (- y (* (+ z x) (/ (- z x) y))) 2.0)

simplify923.0ms

Counts

135 → 135

Iterations

Useful iterations: done (919.0ms)

Iter	Nodes	Cost
0	200	1982
1	496	1874
2	1858	1736
done	5002	1733

prune281.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (/ (+ x z) (/ y (- z x))))
0.0b	(/ y (- z x))
0.2b	(/ (+ x z) (/ y (- z x)))
0.4b	(/ (- y (/ (+ x z) (/ y (- z x)))) 2.0)

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
185×	`*-un-lft-identity`
176×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
34×	`difference-of-squares`
29×	`associate-/r*`
24×	`distribute-lft-out--`
22×	`distribute-lft-out`
14×	`associate-/l*`
13×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/l/`
3×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `flip-+`

Counts

4 → 225

Calls

4 calls:

52.0ms	(- y (/ (+ x z) (/ y (- z x))))
10.0ms	(/ y (- z x))
31.0ms	(/ (+ x z) (/ y (- z x)))
156.0ms	(/ (- y (/ (+ x z) (/ y (- z x)))) 2.0)

series187.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- y (/ (+ x z) (/ y (- z x))))
33.0ms	(/ y (- z x))
51.0ms	(/ (+ x z) (/ y (- z x)))
60.0ms	(/ (- y (/ (+ x z) (/ y (- z x)))) 2.0)

simplify1.3s

Counts

237 → 237

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	328	4356
1	737	4122
2	2496	3964
done	5002	3933

prune487.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (- z x) y)) (cbrt (/ (- z x) y)))
4.0b	(cbrt (/ (- z x) y))
4.0b	(cbrt (/ (- z x) y))
4.0b	(cbrt (/ (- z x) y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

157×	`cbrt-prod`
141×	`add-sqr-sqrt`
135×	`*-un-lft-identity`
123×	`times-frac`
75×	`add-cube-cbrt`
28×	`swap-sqr`
27×	`distribute-lft-out--`
22×	`associate-r` `associate-l`
21×	`difference-of-squares`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 186

Calls

4 calls:

54.0ms	(* (cbrt (/ (- z x) y)) (cbrt (/ (- z x) y)))
5.0ms	(cbrt (/ (- z x) y))
8.0ms	(cbrt (/ (- z x) y))
5.0ms	(cbrt (/ (- z x) y))

series616.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt (/ (- z x) y)) (cbrt (/ (- z x) y)))
144.0ms	(cbrt (/ (- z x) y))
146.0ms	(cbrt (/ (- z x) y))
141.0ms	(cbrt (/ (- z x) y))

simplify1.3s

Counts

198 → 198

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	232	3470
1	431	3269
2	1090	3168
3	2438	3008
done	5000	2925

prune577.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.3b

regimes134.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	12	13
done	12	13

end0.0ms

sample809.0ms

Algorithm

intervals

Results

425.0ms

13655×

body

valid