Details

sample46.0ms

Algorithm

intervals

Results

18.0ms

273×

body

valid

simplify919.0ms

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: 10.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
11.0b	(/ (* y (- z t)) (- a t))

rewrite105.0ms

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:

21.0ms	(+ x (/ (* y (- z t)) (- a t)))
49.0ms	(* y (- z t))
32.0ms	(/ (* y (- z t)) (- a t))

series288.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(+ x (/ (* y (- z t)) (- a t)))
51.0ms	(* y (- z t))
113.0ms	(/ (* y (- z t)) (- a t))

simplify2.9s

Counts

76 → 76

Iterations

Useful iterations: 2 (238.0ms)

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

prune247.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.5b	(* y (/ (- z t) (- a t)))

rewrite127.0ms

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:

13.0ms	(+ x (* y (/ (- z t) (- a t))))
43.0ms	(/ (- z t) (- a t))
61.0ms	(* y (/ (- z t) (- a t)))

series283.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(+ x (* y (/ (- z t) (- a t))))
60.0ms	(/ (- z t) (- a t))
98.0ms	(* y (/ (- z t) (- a t)))

simplify2.3s

Counts

122 → 122

Iterations

Useful iterations: 2 (294.0ms)

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

prune429.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite170.0ms

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:

95.0ms	(+ x (/ y (/ (- a t) (- z t))))
22.0ms	(/ (- a t) (- z t))
40.0ms	(/ y (/ (- a t) (- z t)))

series511.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(+ x (/ y (/ (- a t) (- z t))))
83.0ms	(/ (- a t) (- z t))
216.0ms	(/ y (/ (- a t) (- z t)))

simplify1.7s

Counts

215 → 215

Iterations

Useful iterations: done (1.7s)

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

prune744.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
2.5b	(* y (* (- z t) (/ 1 (- a t))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

9.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
13.0ms	(/ 1 (- a t))
74.0ms	(* (- z t) (/ 1 (- a t)))
76.0ms	(* y (* (- z t) (/ 1 (- a t))))

series383.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
52.0ms	(/ 1 (- a t))
77.0ms	(* (- z t) (/ 1 (- a t)))
120.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify1.2s

Counts

142 → 142

Iterations

Useful iterations: 2 (275.0ms)

Iter	Nodes	Cost
0	182	1728
1	437	1392
2	1377	1228
done	5000	1228

prune422.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

514.0ms	8721×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid