Details

sample51.0ms

Algorithm

intervals

Results

19.0ms

275×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	2304
10	835
9	508
8	366
7	295
6	258
5	156
4	95
3	55
2	34
1	20
0	10

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.1b	(* y (/ (- z t) (- a t)))

rewrite79.0ms

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-cbrt-cube` `add-exp-log`
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` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

5.0ms	(+ x (* y (/ (- z t) (- a t))))
18.0ms	(/ (- z t) (- a t))
52.0ms	(* y (/ (- z t) (- a t)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ x (* y (/ (- z t) (- a t))))
72.0ms	(/ (- z t) (- a t))
116.0ms	(* y (/ (- z t) (- a t)))

simplify863.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1783
1	446
0	162

prune673.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
0.0b	(/ (- a t) (- z t))
0.9b	(/ y (/ (- a t) (- z t)))

rewrite243.0ms

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-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

172.0ms	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
18.0ms	(/ (- a t) (- z t))
36.0ms	(/ y (/ (- a t) (- z t)))

series505.0ms

Counts

3 → 9

Calls

3 calls:

205.0ms	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
76.0ms	(/ (- a t) (- z t))
224.0ms	(/ y (/ (- a t) (- z t)))

simplify1.5s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
2	4102
1	806
0	295

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.1b	(* y (* (- z t) (/ 1 (- a t))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac` `add-exp-log`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `associate-*r/` `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` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 130

Calls

4 calls:

6.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
17.0ms	(/ 1 (- a t))
71.0ms	(* (- z t) (/ 1 (- a t)))
87.0ms	(* y (* (- z t) (/ 1 (- a t))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
59.0ms	(/ 1 (- a t))
88.0ms	(* (- z t) (/ 1 (- a t)))
114.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify3.7s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	3305
1	480
0	182

prune603.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ (/ (* y (- z t)) (- a t)) x)
11.8b	(/ (* y (- z t)) (- a t))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

28.0ms	(* y (- z t))
52.0ms	(+ (/ (* y (- z t)) (- a t)) x)
35.0ms	(/ (* y (- z t)) (- a t))

series302.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* y (- z t))
127.0ms	(+ (/ (* y (- z t)) (- a t)) x)
114.0ms	(/ (* y (- z t)) (- a t))

simplify763.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1345
1	350
0	128

prune382.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes556.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

564.0ms	8702×	body	80	valid
0.0ms	1×	body	320	valid