Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify470.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	56	11
4	90	11
5	123	11
6	150	11
7	176	11
8	219	11
9	285	11
10	374	11
11	420	11
12	498	11
13	520	11
done	520	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
11.9b	(/ (* y (- z t)) (- a t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

10.0ms	(+ x (/ (* y (- z t)) (- a t)))
10.0ms	(* y (- z t))
12.0ms	(/ (* y (- z t)) (- a t))

series181.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ x (/ (* y (- z t)) (- a t)))
35.0ms	(* y (- z t))
67.0ms	(/ (* y (- z t)) (- a t))

simplify1.7s

Counts

76 → 76

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	128	846
1	334	793
2	1033	715
3	4298	715
done	5001	713

prune179.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.1b	(/ y (/ (- a t) (- z t)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

46.0ms	(+ x (/ y (/ (- a t) (- z t))))
11.0ms	(/ (- a t) (- z t))
15.0ms	(/ y (/ (- a t) (- z t)))

series311.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ x (/ y (/ (- a t) (- z t))))
47.0ms	(/ (- a t) (- z t))
147.0ms	(/ y (/ (- a t) (- z t)))

simplify840.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (276.0ms)

Iter	Nodes	Cost
0	292	3733
1	698	3484
2	2364	3378
done	5001	3378

prune506.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(/ y (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-div`
43×	`times-frac`
33×	`associate-/r/`
31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`flip3--` `flip--`
25×	`add-cube-cbrt`
22×	`add-exp-log`
16×	`frac-times`
15×	`cbrt-prod`
14×	`add-cbrt-cube`
13×	`associate-/r*`
9×	`cbrt-undiv` `div-exp`
8×	`associate-r/` `associate-l/`
5×	`div-inv`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num`

Counts

4 → 121

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
20.0ms	(/ y (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))))

series637.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- z t))
149.0ms	(cbrt (- z t))
151.0ms	(cbrt (- z t))
192.0ms	(/ y (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))))

simplify669.0ms

Counts

133 → 133

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	259	3258
1	603	3153
2	1978	2871
done	5000	2871

prune497.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (pow (/ (- a t) (- z t)) 1)))
0.0b	(/ (- a t) (- z t))
2.1b	(/ y (pow (/ (- a t) (- z t)) 1))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

230×	`times-frac`
205×	`*-un-lft-identity`
203×	`add-sqr-sqrt`
124×	`unpow-prod-down`
99×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
40×	`associate-/r*`
13×	`add-exp-log`
10×	`associate-/r/`
8×	`associate-/l*`
7×	`add-cbrt-cube`
6×	`flip3--` `div-exp` `flip--` `div-inv`
5×	`add-log-exp`
4×	`sqr-pow`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `pow-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-to-exp` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 222

Calls

3 calls:

70.0ms	(+ x (/ y (pow (/ (- a t) (- z t)) 1)))
11.0ms	(/ (- a t) (- z t))
28.0ms	(/ y (pow (/ (- a t) (- z t)) 1))

series305.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(+ x (/ y (pow (/ (- a t) (- z t)) 1)))
49.0ms	(/ (- a t) (- z t))
144.0ms	(/ y (pow (/ (- a t) (- z t)) 1))

simplify799.0ms

Counts

231 → 231

Iterations

Useful iterations: done (792.0ms)

Iter	Nodes	Cost
0	365	4615
1	714	3834
2	2301	3598
done	5001	3592

prune496.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	17	33
done	17	33

end0.0ms

sample495.0ms

Algorithm

intervals

Results

252.0ms	8722×	body	80	valid
0.0ms	1×	body	640	valid