Details

sample44.0ms

Algorithm

intervals

Results

21.0ms

275×

body

valid

simplify892.0ms

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: 12.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
12.6b	(/ (* y (- z t)) (- a t))

rewrite109.0ms

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:

41.0ms	(+ x (/ (* y (- z t)) (- a t)))
42.0ms	(* y (- z t))
23.0ms	(/ (* y (- z t)) (- a t))

series269.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(+ x (/ (* y (- z t)) (- a t)))
44.0ms	(* y (- z t))
100.0ms	(/ (* y (- z t)) (- a t))

simplify3.2s

Counts

76 → 76

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	128	846
1	334	793
2	1070	715
3	4822	715
done	5002	715

prune258.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
3.1b	(* y (/ (- z t) (- a t)))

rewrite113.0ms

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:

15.0ms	(+ x (* y (/ (- z t) (- a t))))
34.0ms	(/ (- z t) (- a t))
53.0ms	(* y (/ (- z t) (- a t)))

series315.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(+ x (* y (/ (- z t) (- a t))))
89.0ms	(/ (- z t) (- a t))
91.0ms	(* y (/ (- z t) (- a t)))

simplify2.4s

Counts

122 → 122

Iterations

Useful iterations: 2 (229.0ms)

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

prune441.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
3.1b	(/ y (/ (- a t) (- z t)))

rewrite211.0ms

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:

101.0ms	(+ x (/ y (/ (- a t) (- z t))))
45.0ms	(/ (- a t) (- z t))
39.0ms	(/ y (/ (- a t) (- z t)))

series499.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(+ x (/ y (/ (- a t) (- z t))))
70.0ms	(/ (- a t) (- z t))
217.0ms	(/ y (/ (- a t) (- z t)))

simplify1.6s

Counts

215 → 215

Iterations

Useful iterations: done (1.6s)

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

prune799.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
3.1b	(/ y (* (- a t) (/ 1 (- z t))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
35×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/`
8×	`prod-exp` `distribute-lft-out--` `difference-of-squares`
7×	`pow1`
6×	`cbrt-undiv` `flip3--` `associate-/r` `flip--` `associate-/l` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 134

Calls

4 calls:

26.0ms	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
13.0ms	(/ 1 (- z t))
68.0ms	(* (- a t) (/ 1 (- z t)))
31.0ms	(/ y (* (- a t) (/ 1 (- z t))))

series486.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
39.0ms	(/ 1 (- z t))
76.0ms	(* (- a t) (/ 1 (- z t)))
196.0ms	(/ y (* (- a t) (/ 1 (- z t))))

simplify1.9s

Counts

146 → 146

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	193	1802
1	451	1462
2	1388	1292
done	5001	1290

prune362.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes212.0ms

Accuracy

73.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	57
1	26	47
done	26	47

end0.0ms

sample1.1s

Algorithm

intervals

Results

592.0ms	8691×	body	80	valid
0.0ms	2×	body	160	valid