Details

sample73.0ms

Algorithm

intervals

Results

36.0ms

412×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite155.0ms

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:

99.0ms	(- y (/ (- z x) (/ y (+ z x))))
16.0ms	(/ y (+ z x))
22.0ms	(/ (- z x) (/ y (+ z x)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- y (/ (- z x) (/ y (+ z x))))
28.0ms	(/ y (+ z x))
82.0ms	(/ (- z x) (/ y (+ z x)))

simplify1.7s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
2	4553
1	798
0	259

prune910.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

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:

12.0ms	(/ (- z x) y)
5.0ms	(- y (* (/ (- z x) y) (+ z x)))
46.0ms	(* (/ (- z x) y) (+ z x))

series168.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (- z x) y)
53.0ms	(- y (* (/ (- z x) y) (+ z x)))
76.0ms	(* (/ (- z x) y) (+ z x))

simplify1.6s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	2834
1	525
0	157

prune505.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
32×	`add-exp-log`
31×	`times-frac`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`associate-r`
11×	`div-exp`
8×	`prod-exp` `associate-/l*`
7×	`pow1` `distribute-lft-out`
6×	`cbrt-undiv` `associate-/r/` `add-log-exp`
5×	`associate-/r*`
4×	`cbrt-unprod`
3×	`rec-exp` `1-exp` `associate-l` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `associate-*r/` `un-div-inv` `flip-+` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `associate--r-`

Counts

4 → 127

Calls

4 calls:

18.0ms	(/ 1 (+ x z))
30.0ms	(- y (/ (- z x) (* y (/ 1 (+ x z)))))
45.0ms	(/ (- z x) (* y (/ 1 (+ x z))))
38.0ms	(* y (/ 1 (+ x z)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (+ x z))
56.0ms	(- y (/ (- z x) (* y (/ 1 (+ x z)))))
78.0ms	(/ (- z x) (* y (/ 1 (+ x z))))
49.0ms	(* y (/ 1 (+ x z)))

simplify1.3s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	2681
1	482
0	179

prune388.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z x)) (cbrt (- z x)))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

67.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
6.0ms	(cbrt (- z x))
6.0ms	(cbrt (- z x))
6.0ms	(cbrt (- z x))

series835.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
213.0ms	(cbrt (- z x))
239.0ms	(cbrt (- z x))
229.0ms	(cbrt (- z x))

simplify935.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	996
1	286
0	131

prune593.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes135.0ms

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	11
1	11
0	10

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

13439×

body

valid