Details

sample53.0ms

Algorithm

intervals

Results

22.0ms	274×	body	80	valid
0.0ms	1×	body	640	valid

simplify872.0ms

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: 11.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
12.0b	(/ (* y (- z t)) (- a t))

rewrite102.0ms

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)))
28.0ms	(* y (- z t))
29.0ms	(/ (* y (- z t)) (- a t))

series263.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ x (/ (* y (- z t)) (- a t)))
55.0ms	(* y (- z t))
95.0ms	(/ (* y (- z t)) (- a t))

simplify3.1s

Counts

76 → 76

Iterations

Useful iterations: 2 (146.0ms)

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

prune201.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))
2.2b	(* y (/ (- z t) (- a t)))

rewrite144.0ms

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:

8.0ms	(+ x (* y (/ (- z t) (- a t))))
44.0ms	(/ (- z t) (- a t))
86.0ms	(* y (/ (- z t) (- a t)))

series337.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ x (* y (/ (- z t) (- a t))))
99.0ms	(/ (- z t) (- a t))
120.0ms	(* y (/ (- z t) (- a t)))

simplify2.3s

Counts

122 → 122

Iterations

Useful iterations: 2 (237.0ms)

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

prune426.0ms

Pruning

4 alts after pruning (4 fresh and 0 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))
2.5b	(/ y (/ (- a t) (- z t)))

rewrite167.0ms

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:

82.0ms	(+ x (/ y (/ (- a t) (- z t))))
34.0ms	(/ (- a t) (- z t))
37.0ms	(/ y (/ (- a t) (- z t)))

series459.0ms

Counts

3 → 9

Calls

3 calls:

193.0ms	(+ x (/ y (/ (- a t) (- z t))))
63.0ms	(/ (- a t) (- z t))
203.0ms	(/ y (/ (- a t) (- z t)))

simplify1.5s

Counts

215 → 215

Iterations

Useful iterations: done (1.5s)

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

prune749.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (* (- z t) (/ y (- a t))) 1))
0.0b	(/ y (- a t))
9.1b	(* (- z t) (/ y (- a t)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

16.0ms	(+ x (pow (* (- z t) (/ y (- a t))) 1))
24.0ms	(/ y (- a t))
55.0ms	(* (- z t) (/ y (- a t)))

series291.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(+ x (pow (* (- z t) (/ y (- a t))) 1))
58.0ms	(/ y (- a t))
88.0ms	(* (- z t) (/ y (- a t)))

simplify1.5s

Counts

104 → 104

Iterations

Useful iterations: 2 (225.0ms)

Iter	Nodes	Cost
0	157	1262
1	366	1141
2	1358	1063
done	5000	1063

prune396.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes296.0ms

Accuracy

29.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	59
1	31	57
done	31	57

end0.0ms

sample1.0s

Algorithm

intervals

Results

486.0ms	8686×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid