Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

345×

body

valid

simplify614.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite136.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

134.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify1.7s

Counts

35 → 35

Iterations

Useful iterations: 3 (691.0ms)

Iter	Nodes	Cost
0	80	438
1	206	430
2	730	374
3	3341	372
done	5000	372

prune90.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

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))

rewrite991.0ms

Algorithm

rewrite-expression-head

Rules

664×	`*-un-lft-identity`
491×	`times-frac`
320×	`add-sqr-sqrt`
312×	`prod-diff`
308×	`add-cube-cbrt`
172×	`distribute-lft-out`
107×	`distribute-rgt-in` `distribute-lft-in` `div-inv`
41×	`distribute-rgt-out`
13×	`fma-def`
10×	`associate-r` `distribute-lft-out--` `add-log-exp`
8×	`fma-neg`
6×	`frac-sub`
5×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `flip3-+` `associate-l` `frac-add` `associate--l+` `flip-+` `log1p-expm1-u`
2×	`flip3--` `diff-log` `sum-log` `flip--`
1×	`+-commutative` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 416

Calls

3 calls:

530.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
367.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
42.0ms	(+ (/ y t) (/ x t))

series121.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
33.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
28.0ms	(+ (/ y t) (/ x t))

simplify1.9s

Counts

425 → 425

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	510	17156
1	934	15331
2	2307	11312
done	5000	8812

prune561.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite178.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 153

Calls

2 calls:

79.0ms	(/ (/ (- (+ x y) z) t) 2.0)
92.0ms	(/ (- (+ x y) z) t)

series102.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (/ (- (+ x y) z) t) 2.0)
37.0ms	(/ (- (+ x y) z) t)

simplify2.2s

Counts

159 → 159

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	219	2575
1	514	2470
2	1429	2384
3	4185	2382
done	5001	2382

prune417.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

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

rewrite432.0ms

Algorithm

rewrite-expression-head

Rules

211×	`times-frac`
186×	`*-un-lft-identity`
166×	`add-sqr-sqrt`
106×	`add-cube-cbrt`
102×	`sqrt-prod`
97×	`associate-r`
32×	`distribute-lft-out--`
16×	`distribute-lft-out` `difference-of-squares`
15×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-div`
9×	`associate-l` `associate-/l*`
8×	`pow1` `unswap-sqr`
5×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `associate-/l/`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 231

Calls

4 calls:

55.0ms	(sqrt (- (+ x y) z))
60.0ms	(sqrt (- (+ x y) z))
77.0ms	(/ (sqrt (- (+ x y) z)) t)
222.0ms	(* (sqrt (- (+ x y) z)) (/ (/ (sqrt (- (+ x y) z)) t) 2.0))

series320.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt (- (+ x y) z))
80.0ms	(sqrt (- (+ x y) z))
93.0ms	(/ (sqrt (- (+ x y) z)) t)
67.0ms	(* (sqrt (- (+ x y) z)) (/ (/ (sqrt (- (+ x y) z)) t) 2.0))

simplify1.8s

Counts

243 → 243

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	323	4422
1	800	3803
2	2565	3619
done	5000	3532

prune774.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

917.0ms

10755×

body

valid