Details

sample53.0ms

Algorithm

intervals

Results

20.0ms

276×

body

valid

simplify831.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	57	11
4	100	11
5	131	11
6	158	11
7	181	11
8	223	11
9	280	11
10	312	11
11	356	11
12	391	11
13	403	11
done	403	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
12.2b	(/ (* y (- z t)) (- a t))

rewrite108.0ms

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:

39.0ms	(* y (- z t))
37.0ms	(+ x (/ (* y (- z t)) (- a t)))
28.0ms	(/ (* y (- z t)) (- a t))

series284.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* y (- z t))
128.0ms	(+ x (/ (* y (- z t)) (- a t)))
92.0ms	(/ (* y (- z t)) (- a t))

simplify3.0s

Counts

76 → 76

Iterations

Useful iterations: 2 (183.0ms)

Iter	Nodes	Cost
0	128	846
1	334	793
2	1069	715
3	4810	715
done	5000	715

prune291.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.5b	(/ y (/ (- a t) (- z t)))

rewrite204.0ms

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:

93.0ms	(+ x (/ y (/ (- a t) (- z t))))
43.0ms	(/ (- a t) (- z t))
50.0ms	(/ y (/ (- a t) (- z t)))

series488.0ms

Counts

3 → 9

Calls

3 calls:

214.0ms	(+ x (/ y (/ (- a t) (- z t))))
73.0ms	(/ (- a t) (- z t))
201.0ms	(/ y (/ (- a t) (- z t)))

simplify1.4s

Counts

215 → 215

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	292	3733
1	680	3484
2	2408	3378
done	5000	3372

prune745.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
3.0b	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (/ (cbrt (- a t)) (- z t))))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

544×	`times-frac`
427×	`add-sqr-sqrt`
378×	`*-un-lft-identity`
320×	`cbrt-prod`
287×	`associate-r`
222×	`add-cube-cbrt`
78×	`distribute-lft-out--` `difference-of-squares`
75×	`add-exp-log`
34×	`add-cbrt-cube`
28×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
21×	`associate-/r/`
19×	`associate-l`
18×	`unswap-sqr`
13×	`pow1`
12×	`cbrt-div` `flip3--` `flip--`
8×	`pow1/3` `div-inv`
6×	`swap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`associate-r/` `pow-prod-down` `associate-l/`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 412

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* (cbrt y) (cbrt y))
277.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (/ (cbrt (- a t)) (- z t))))

series1.1s

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt y)
266.0ms	(cbrt y)
298.0ms	(* (cbrt y) (cbrt y))
287.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt y) (/ (cbrt (- a t)) (- z t))))

simplify1.8s

Counts

424 → 424

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	653	11896
1	2079	10239
done	5000	9319

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.5b	(* y (/ (- z t) (- a t)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

11.0ms	(+ x (* y (/ (- z t) (- a t))))
37.0ms	(/ (- z t) (- a t))
73.0ms	(* y (/ (- z t) (- a t)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ x (* y (/ (- z t) (- a t))))
63.0ms	(/ (- z t) (- a t))
121.0ms	(* y (/ (- z t) (- a t)))

simplify2.2s

Counts

122 → 122

Iterations

Useful iterations: 2 (226.0ms)

Iter	Nodes	Cost
0	162	1555
1	417	1454
2	1178	1368
3	3704	1368
done	5000	1368

prune381.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	29
1	18	29
done	18	29

end0.0ms

sample1.4s

Algorithm

intervals

Results

820.0ms	8723×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid