Details

sample29.0ms

Algorithm

intervals

Results

10.0ms

277×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
28	4960
27	4766
26	4563
25	4371
24	4168
23	3974
22	3771
21	3579
20	3374
19	3178
18	2963
17	2727
16	2476
15	2172
14	1837
13	1584
12	1041
11	630
10	390
9	314
8	258
7	221
6	185
5	131
4	87
3	54
2	35
1	21
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.3b	(* y (/ (- z t) (- z a)))

rewrite97.0ms

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) (- z a))))
18.0ms	(/ (- z t) (- z a))
69.0ms	(* y (/ (- z t) (- z a)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(+ x (* y (/ (- z t) (- z a))))
64.0ms	(/ (- z t) (- z a))
121.0ms	(* y (/ (- z t) (- z a)))

simplify1.5s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1368
1	441
0	162

prune769.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.3b	(* y (* (- z t) (/ 1 (- z a))))

rewrite148.0ms

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 (- z a)))))
14.0ms	(/ 1 (- z a))
43.0ms	(* (- z t) (/ 1 (- z a)))
80.0ms	(* y (* (- z t) (/ 1 (- z a))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
67.0ms	(/ 1 (- z a))
60.0ms	(* (- z t) (/ 1 (- z a)))
75.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify1.6s

Counts

142 → 142

Iterations

Iter	Nodes
done	5002
2	1565
1	478
0	182

prune830.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(* (cbrt y) (/ (- z t) (- z a)))
0.9b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-*r/`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `div-inv` `flip--`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
49.0ms	(* (cbrt y) (/ (- z t) (- z a)))
77.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))

series954.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt y)
319.0ms	(cbrt y)
224.0ms	(* (cbrt y) (/ (- z t) (- z a)))
148.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))

simplify2.1s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1431
1	410
0	149

prune714.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
0.0b	(/ (- z a) (- z t))
1.3b	(/ y (/ (- z a) (- z t)))

rewrite199.0ms

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:

132.0ms	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
17.0ms	(/ (- z a) (- z t))
39.0ms	(/ y (/ (- z a) (- z t)))

series347.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
65.0ms	(/ (- z a) (- z t))
172.0ms	(/ y (/ (- z a) (- z t)))

simplify2.0s

Counts

215 → 215

Iterations

Iter	Nodes
done	5003
2	2752
1	795
0	295

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes638.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

872.0ms	8709×	body	80	valid
0.0ms	1×	body	640	valid