Details

sample42.0ms

Algorithm

intervals

Results

15.0ms

395×

body

valid

simplify52.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	8
1	69	8
2	134	8
3	225	8
4	378	8
5	598	8
6	815	8
7	1035	8
8	1143	8
9	1211	8
10	1211	8
done	1211	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite316.0ms

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:

9.0ms	(/ (* a b) 4.0)
10.0ms	(+ (* x y) (/ (* z t) 16.0))
68.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
226.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series301.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* a b) 4.0)
46.0ms	(+ (* x y) (/ (* z t) 16.0))
89.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
146.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify40.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	374	628
1	1499	597
2	5001	590
done	5001	590

prune221.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
7.7b	(cbrt (/ (* a b) 4.0))
7.7b	(cbrt (/ (* a b) 4.0))
7.7b	(cbrt (/ (* a b) 4.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
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 → 103

Calls

4 calls:

18.0ms	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
3.0ms	(cbrt (/ (* a b) 4.0))
3.0ms	(cbrt (/ (* a b) 4.0))
3.0ms	(cbrt (/ (* a b) 4.0))

series449.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt (/ (* a b) 4.0)) (cbrt (/ (* a b) 4.0)))
101.0ms	(cbrt (/ (* a b) 4.0))
100.0ms	(cbrt (/ (* a b) 4.0))
100.0ms	(cbrt (/ (* a b) 4.0))

simplify122.0ms

Counts

115 → 115

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	253	843
1	865	792
2	4388	717
3	5001	705
done	5001	705

prune460.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`distribute-lft-out`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1` `distribute-lft-out--`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

1.1s	(* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
132.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
132.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
134.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

series647.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
121.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
126.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
121.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

simplify116.0ms

Counts

117 → 117

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	276	2258
1	930	2121
2	4250	1863
3	5001	1849
done	5001	1849

prune347.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.5b	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
0.6b	(cbrt (* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))))

rewrite678.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
22×	`*-un-lft-identity`
16×	`cbrt-prod`
9×	`flip3-+` `flip-+`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out--`
2×	`associate-r/` `associate-l/`

Counts

4 → 62

Calls

4 calls:

132.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
132.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
131.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
280.0ms	(cbrt (* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
122.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
125.0ms	(cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
277.0ms	(cbrt (* (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))))

simplify60.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	249	1497
1	603	1393
2	2180	1367
3	5001	1364
done	5001	1364

prune343.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes454.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8
done	22	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

480.0ms

11959×

body

valid