Details

sample41.0ms

Algorithm

intervals

Results

21.0ms

455×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3958
6	896
5	343
4	181
3	100
2	55
1	22
0	11

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

177×	`times-frac`
163×	`*-un-lft-identity`
126×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
22×	`associate-/r*` `distribute-lft-out` `difference-of-squares`
20×	`distribute-lft-out--`
15×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv` `associate-/l*`
7×	`flip3-+` `flip-+`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `flip3--` `div-sub` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 181

Calls

3 calls:

62.0ms	(- y (/ (- z x) (/ y (+ z x))))
12.0ms	(/ y (+ z x))
31.0ms	(/ (- z x) (/ y (+ z x)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- y (/ (- z x) (/ y (+ z x))))
34.0ms	(/ y (+ z x))
74.0ms	(/ (- z x) (/ y (+ z x)))

simplify1.6s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
2	4553
1	798
0	259

prune825.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`associate-r`
3×	`associate-/r*`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `distribute-lft-in` `flip3-+` `flip3--` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `flip-+` `div-inv` `flip--` `associate--r+` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out`

Counts

3 → 97

Calls

3 calls:

5.0ms	(- y (* (/ (- z x) y) (+ z x)))
18.0ms	(/ (- z x) y)
47.0ms	(* (/ (- z x) y) (+ z x))

series167.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- y (* (/ (- z x) y) (+ z x)))
41.0ms	(/ (- z x) y)
72.0ms	(* (/ (- z x) y) (+ z x))

simplify1.6s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	2834
1	525
0	157

prune546.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- y (/ 1 (/ (/ y (+ z x)) (- z x))))
0.0b	(/ y (+ z x))
0.2b	(/ (/ y (+ z x)) (- z x))
0.7b	(/ 1 (/ (/ y (+ z x)) (- z x)))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

1074×	`times-frac`
765×	`*-un-lft-identity`
618×	`add-sqr-sqrt`
413×	`add-cube-cbrt`
105×	`associate-/r*`
98×	`difference-of-squares`
93×	`distribute-lft-out--`
82×	`distribute-lft-out`
65×	`associate-/r/`
34×	`div-inv`
32×	`add-exp-log`
27×	`flip3-+` `flip-+`
24×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`sub-neg` `diff-log` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 596

Calls

4 calls:

127.0ms	(- y (/ 1 (/ (/ y (+ z x)) (- z x))))
11.0ms	(/ y (+ z x))
33.0ms	(/ (/ y (+ z x)) (- z x))
57.0ms	(/ 1 (/ (/ y (+ z x)) (- z x)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- y (/ 1 (/ (/ y (+ z x)) (- z x))))
36.0ms	(/ y (+ z x))
330.0ms	(/ (/ y (+ z x)) (- z x))
89.0ms	(/ 1 (/ (/ y (+ z x)) (- z x)))

simplify1.8s

Counts

608 → 608

Iterations

Iter	Nodes
done	5000
1	1990
0	667

prune2.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- y (* (/ 1 y) (- (* z z) (* x x))))
1.1b	(- (* z z) (* x x))
10.4b	(* (/ 1 y) (- (* z z) (* x x)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity` `add-exp-log`
11×	`times-frac` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`add-log-exp`
6×	`sub-neg`
5×	`pow1`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-r` `prod-exp` `flip--` `associate--r+`
3×	`unswap-sqr`
2×	`frac-times` `diff-log` `div-exp` `associate-*r/` `cbrt-unprod` `difference-of-squares`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

3 → 73

Calls

3 calls:

9.0ms	(- y (* (/ 1 y) (- (* z z) (* x x))))
10.0ms	(- (* z z) (* x x))
38.0ms	(* (/ 1 y) (- (* z z) (* x x)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- y (* (/ 1 y) (- (* z z) (* x x))))
38.0ms	(- (* z z) (* x x))
109.0ms	(* (/ 1 y) (- (* z z) (* x x)))

simplify2.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	2512
1	392
0	132

prune335.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes332.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

13509×

body

valid