Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

312×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5015
8	2431
7	913
6	489
5	351
4	220
3	100
2	44
1	22
0	12

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
0.0b	(/ (- z x) y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
6×	`associate-+l+`
5×	`associate-/l*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in` `div-sub`
2×	`pow1` `sub-neg` `associate--r-` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `div-inv` `flip--`

Counts

2 → 55

Calls

2 calls:

23.0ms	(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
15.0ms	(/ (- z x) y)

series105.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
54.0ms	(/ (- z x) y)

simplify1.9s

Counts

61 → 61

Iterations

Iter	Nodes
done	5010
3	2424
2	690
1	279
0	113

prune369.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 4.0 (/ (+ (- z) x) y))
0.0b	(/ (+ (- z) x) y)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`associate-r`
14×	`distribute-lft-out`
9×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-rgt-neg-in`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-/r` `associate-l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`neg-sub0` `clear-num` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `associate-+l-` `flip-+`

Counts

2 → 76

Calls

2 calls:

50.0ms	(* 4.0 (/ (+ (- z) x) y))
34.0ms	(/ (+ (- z) x) y)

series116.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* 4.0 (/ (+ (- z) x) y))
50.0ms	(/ (+ (- z) x) y)

simplify2.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5035
3	3881
2	923
1	271
0	105

prune367.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 4.0 (- 0.25 (- (/ z y) (/ x y)))) 1.0)
0.0b	(- (/ z y) (/ x y))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`times-frac`
6×	`associate-+l+` `add-log-exp`
4×	`add-cube-cbrt` `distribute-lft-out--` `difference-of-squares`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `div-inv` `associate--r-`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

2 → 40

Calls

2 calls:

116.0ms	(+ (* 4.0 (- 0.25 (- (/ z y) (/ x y)))) 1.0)
24.0ms	(- (/ z y) (/ x y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* 4.0 (- 0.25 (- (/ z y) (/ x y)))) 1.0)
42.0ms	(- (/ z y) (/ x y))

simplify2.2s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
3	2331
2	580
1	232
0	94

prune296.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- x z))
0.0b	(* 4.0 (/ 1 (/ y (- x z))))
0.7b	(/ 1 (/ y (- x z)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
185×	`add-sqr-sqrt`
173×	`*-un-lft-identity`
121×	`add-cube-cbrt`
68×	`associate-r`
35×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 242

Calls

3 calls:

15.0ms	(/ y (- x z))
52.0ms	(* 4.0 (/ 1 (/ y (- x z))))
29.0ms	(/ 1 (/ y (- x z)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ y (- x z))
89.0ms	(* 4.0 (/ 1 (/ y (- x z))))
67.0ms	(/ 1 (/ y (- x z)))

simplify2.0s

Counts

251 → 251

Iterations

Iter	Nodes
done	5004
2	2105
1	811
0	296

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

791.0ms

10122×

body

valid