Details

sample72.0ms

Algorithm

intervals

Results

30.0ms

409×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	32	17
2	69	17
3	126	17
4	201	17
5	284	17
6	389	17
7	526	17
8	630	17
9	638	17
done	638	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b	(/ (* a b) 4.0)
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

rewrite511.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

96.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
19.0ms	(/ (* a b) 4.0)
20.0ms	(+ (* x y) (/ (* z t) 16.0))
373.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series448.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
22.0ms	(/ (* a b) 4.0)
67.0ms	(+ (* x y) (/ (* z t) 16.0))
225.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify766.0ms

Counts

81 → 81

Iterations

Useful iterations: done (763.0ms)

Iter	Nodes	Cost
0	141	1389
1	370	1288
2	1333	1232
done	5000	1204

prune255.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
0.3b	(/ a (/ 4.0 b))

rewrite621.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

20.0ms	(+ (* x y) (/ (* z t) 16.0))
125.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
461.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
9.0ms	(/ a (/ 4.0 b))

series452.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (* x y) (/ (* z t) 16.0))
139.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
222.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
22.0ms	(/ a (/ 4.0 b))

simplify1.0s

Counts

132 → 132

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	246	2161
1	584	2000
2	1888	1934
done	5001	1904

prune789.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.25 (* a b))
0.0b	(+ (* 0.0625 (* t z)) (* x y))
0.0b	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
0.0b	(+ (- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b))) c)

rewrite594.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`sum-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`diff-log`
3×	`associate-+l+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sub-neg` `flip3-+` `associate--l+` `flip-+`
1×	`associate-+l-` `flip3--` `associate-r` `*-commutative` `flip--` `distribute-lft-out`

Counts

4 → 61

Calls

4 calls:

29.0ms	(* 0.25 (* a b))
29.0ms	(+ (* 0.0625 (* t z)) (* x y))
141.0ms	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
391.0ms	(+ (- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b))) c)

series419.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 0.25 (* a b))
69.0ms	(+ (* 0.0625 (* t z)) (* x y))
132.0ms	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
189.0ms	(+ (- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b))) c)

simplify893.0ms

Counts

73 → 73

Iterations

Useful iterations: done (890.0ms)

Iter	Nodes	Cost
0	111	1161
1	311	1078
2	1178	1022
done	5000	1002

prune265.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (- (* x y) (/ (* z t) 16.0)) (- (* (/ 4.0 b) (+ (* x y) (/ (* z t) 16.0))) a))
0.5b	(* (- (* x y) (/ (* z t) 16.0)) (/ 4.0 b))
0.5b	(* (/ 4.0 b) (+ (* x y) (/ (* z t) 16.0)))
32.4b	(/ (* (- (* x y) (/ (* z t) 16.0)) (- (* (/ 4.0 b) (+ (* x y) (/ (* z t) 16.0))) a)) (* (- (* x y) (/ (* z t) 16.0)) (/ 4.0 b)))

rewrite382.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

179.0ms	(* (- (* x y) (/ (* z t) 16.0)) (- (* (/ 4.0 b) (+ (* x y) (/ (* z t) 16.0))) a))
45.0ms	(* (- (* x y) (/ (* z t) 16.0)) (/ 4.0 b))
46.0ms	(* (/ 4.0 b) (+ (* x y) (/ (* z t) 16.0)))
106.0ms	(/ (* (- (* x y) (/ (* z t) 16.0)) (- (* (/ 4.0 b) (+ (* x y) (/ (* z t) 16.0))) a)) (* (- (* x y) (/ (* z t) 16.0)) (/ 4.0 b)))

series828.0ms

Counts

4 → 12

Calls

4 calls:

401.0ms	(* (- (* x y) (/ (* z t) 16.0)) (- (* (/ 4.0 b) (+ (* x y) (/ (* z t) 16.0))) a))
80.0ms	(* (- (* x y) (/ (* z t) 16.0)) (/ 4.0 b))
160.0ms	(* (/ 4.0 b) (+ (* x y) (/ (* z t) 16.0)))
187.0ms	(/ (* (- (* x y) (/ (* z t) 16.0)) (- (* (/ 4.0 b) (+ (* x y) (/ (* z t) 16.0))) a)) (* (- (* x y) (/ (* z t) 16.0)) (/ 4.0 b)))

simplify2.8s

Counts

158 → 158

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	278	5146
1	914	4668
2	4709	3676
done	5000	3676

prune729.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes538.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	24	17
done	24	17

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s

11861×

body

valid