Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

276×

body

valid

simplify4.1s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.0b	(* y (/ (- z t) (- z a)))

rewrite98.0ms

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:

10.0ms	(+ x (* y (/ (- z t) (- z a))))
39.0ms	(/ (- z t) (- z a))
41.0ms	(* y (/ (- z t) (- z a)))

series275.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ x (* y (/ (- z t) (- z a))))
56.0ms	(/ (- z t) (- z a))
110.0ms	(* y (/ (- z t) (- z a)))

simplify1.3s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1368
1	441
0	162

prune778.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))

series814.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (- z t))
194.0ms	(cbrt (- z a))
221.0ms	(cbrt (- z a))
202.0ms	(cbrt (- z a))

simplify2.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
4	2530
3	1008
2	489
1	244
0	118

prune704.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.6b	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
16×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`flip3--` `flip--`
7×	`add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `associate-r/`

Counts

4 → 62

Calls

4 calls:

7.0ms	(cbrt (- z a))
6.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
16.0ms	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))

series836.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (- z a))
212.0ms	(cbrt (- z a))
249.0ms	(cbrt (- z a))
188.0ms	(cbrt (* (cbrt (- z t)) (cbrt (- z t))))

simplify3.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5008
4	3911
3	1296
2	570
1	272
0	141

prune671.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)))
2.0b	(* y (* (- z t) (/ 1 (- z a))))

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:

11.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
17.0ms	(/ 1 (- z a))
73.0ms	(* (- z t) (/ 1 (- z a)))
74.0ms	(* y (* (- z t) (/ 1 (- z a))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
69.0ms	(/ 1 (- z a))
80.0ms	(* (- z t) (/ 1 (- z a)))
127.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify1.4s

Counts

142 → 142

Iterations

Iter	Nodes
done	5002
2	1565
1	478
0	182

prune671.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes709.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample1.0s

Algorithm

intervals

Results

526.0ms

8716×

body

valid