Details

sample41.0ms

Algorithm

intervals

Results

16.0ms

345×

body

valid

simplify597.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite96.0ms

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:

94.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify1.7s

Counts

35 → 35

Iterations

Useful iterations: 3 (780.0ms)

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

prune105.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

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))

rewrite1.1s

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:

660.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
329.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
39.0ms	(+ (/ y t) (/ x t))

series111.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
34.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
25.0ms	(+ (/ y t) (/ x t))

simplify1.8s

Counts

425 → 425

Iterations

Useful iterations: done (1.8s)

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

prune395.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite165.0ms

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:

72.0ms	(/ (/ (- (+ x y) z) t) 2.0)
82.0ms	(/ (- (+ x y) z) t)

series110.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ (/ (- (+ x y) z) t) 2.0)
46.0ms	(/ (- (+ x y) z) t)

simplify2.3s

Counts

159 → 159

Iterations

Useful iterations: 3 (1.2s)

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

prune381.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

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))

rewrite386.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 188

Calls

4 calls:

41.0ms	(sqrt (- (+ x y) z))
42.0ms	(sqrt (- (+ x y) z))
56.0ms	(/ (sqrt (- (+ x y) z)) t)
231.0ms	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

series342.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(sqrt (- (+ x y) z))
89.0ms	(sqrt (- (+ x y) z))
90.0ms	(/ (sqrt (- (+ x y) z)) t)
64.0ms	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

simplify1.4s

Counts

200 → 200

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	233	3457
1	622	2907
2	1883	2751
done	5000	2659

prune820.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes248.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

599.0ms

10755×

body

valid