Details

sample52.0ms

Algorithm

intervals

Results

21.0ms

345×

body

valid

simplify867.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	20	9
2	41	9
3	57	9
4	76	9
5	110	9
6	166	9
7	220	9
8	319	9
9	423	9
10	479	9
11	500	9
12	510	9
done	510	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (+ x y) z) (* t 2.0))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

147.0ms

(/ (- (+ x y) z) (* t 2.0))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify2.2s

Counts

33 → 33

Iterations

Useful iterations: 3 (841.0ms)

Iter	Nodes	Cost
0	78	418
1	201	411
2	703	355
3	3190	353
done	5000	353

prune68.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
0.0b	(- (+ (/ y t) (/ x t)) (/ z t))
0.0b	(+ (/ y t) (/ x t))

rewrite758.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

447.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
279.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
29.0ms	(+ (/ y t) (/ x t))

series102.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
37.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
22.0ms	(+ (/ y t) (/ x t))

simplify2.2s

Counts

86 → 86

Iterations

Useful iterations: 3 (907.0ms)

Iter	Nodes	Cost
0	140	1374
1	344	1315
2	1000	1223
3	4035	1199
done	5000	1199

prune254.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ (- (+ x y) z) t) 2.0)
0.0b	(/ (- (+ x y) z) t)

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity` `times-frac`
108×	`add-sqr-sqrt`
76×	`add-cube-cbrt`
32×	`distribute-lft-out--`
28×	`associate-/l*`
16×	`distribute-lft-out` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 149

Calls

2 calls:

78.0ms	(/ (/ (- (+ x y) z) t) 2.0)
113.0ms	(/ (- (+ x y) z) t)

series80.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (/ (- (+ x y) z) t) 2.0)
37.0ms	(/ (- (+ x y) z) t)

simplify2.1s

Counts

155 → 155

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	215	2539
1	507	2435
2	1401	2349
3	4054	2347
done	5001	2347

prune420.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (+ x y) z))
0.0b	(sqrt (- (+ x y) z))
0.1b	(/ (sqrt (- (+ x y) z)) t)
0.2b	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

rewrite418.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
112×	`add-sqr-sqrt`
93×	`times-frac`
78×	`sqrt-prod`
56×	`add-cube-cbrt`
31×	`associate-r` `associate-l`
24×	`distribute-lft-out--`
18×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out` `difference-of-squares`
9×	`associate-/l*` `unswap-sqr`
8×	`pow1`
6×	`sqrt-div`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `associate-/r*` `flip--` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 180

Calls

4 calls:

52.0ms	(sqrt (- (+ x y) z))
49.0ms	(sqrt (- (+ x y) z))
80.0ms	(/ (sqrt (- (+ x y) z)) t)
222.0ms	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

series309.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (- (+ x y) z))
81.0ms	(sqrt (- (+ x y) z))
100.0ms	(/ (sqrt (- (+ x y) z)) t)
60.0ms	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

simplify1.6s

Counts

192 → 192

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	227	3375
1	606	2844
2	1845	2688
done	5000	2596

prune552.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes178.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	13	13
done	13	13

end0.0ms

sample1.2s

Algorithm

intervals

Results

536.0ms

10755×

body

valid