Details

sample71.0ms

Algorithm

intervals

Results

32.0ms

512×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	50	13
3	160	13
4	443	13
5	1442	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
4.7b	(* (* y 4.0) (- (* z z) t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt`
4×	`associate-r` `add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 38

Calls

2 calls:

13.0ms	(- (* z z) t)
48.0ms	(* (* y 4.0) (- (* z z) t))

series105.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(- (* z z) t)
79.0ms	(* (* y 4.0) (- (* z z) t))

simplify930.0ms

Counts

44 → 44

Iterations

Useful iterations: done (928.0ms)

Iter	Nodes	Cost
0	76	489
1	238	477
2	1398	397
done	5001	393

prune164.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.2b

localize31.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (* y 4.0))
5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*l/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*r/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

172.0ms	(* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (* y 4.0))
11.0ms	(cbrt (- (* z z) t))
11.0ms	(cbrt (- (* z z) t))
20.0ms	(cbrt (- (* z z) t))

series535.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (* y 4.0))
112.0ms	(cbrt (- (* z z) t))
124.0ms	(cbrt (- (* z z) t))
123.0ms	(cbrt (- (* z z) t))

simplify757.0ms

Counts

84 → 84

Iterations

Useful iterations: done (755.0ms)

Iter	Nodes	Cost
0	120	1340
1	321	1252
2	1157	1084
done	5001	1058

prune282.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.2b

localize26.0ms

Local error

Found 4 expressions with local error:

5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))
5.3b	(cbrt (- (* z z) t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

7.0ms	(cbrt (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))

series847.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (- (* z z) t))
465.0ms	(cbrt (- (* z z) t))
115.0ms	(cbrt (- (* z z) t))
129.0ms	(cbrt (- (* z z) t))

simplify1.3s

Counts

68 → 68

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	58	816
1	133	804
2	392	716
3	1967	696
done	5000	672

prune327.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 2.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (- (* z z) t)) (* y 4.0))
0.2b	(* (* (sqrt (- (* z z) t)) (* y 4.0)) (sqrt (- (* z z) t)))
4.7b	(sqrt (- (* z z) t))
4.7b	(sqrt (- (* z z) t))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
16×	`add-sqr-sqrt` `sqrt-prod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
8×	`associate-r` `associate-l`
4×	`frac-times` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative`

Counts

4 → 89

Calls

4 calls:

71.0ms	(* (sqrt (- (* z z) t)) (* y 4.0))
133.0ms	(* (* (sqrt (- (* z z) t)) (* y 4.0)) (sqrt (- (* z z) t)))
17.0ms	(sqrt (- (* z z) t))
17.0ms	(sqrt (- (* z z) t))

series237.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (sqrt (- (* z z) t)) (* y 4.0))
51.0ms	(* (* (sqrt (- (* z z) t)) (* y 4.0)) (sqrt (- (* z z) t)))
47.0ms	(sqrt (- (* z z) t))
55.0ms	(sqrt (- (* z z) t))

simplify977.0ms

Counts

101 → 101

Iterations

Useful iterations: done (973.0ms)

Iter	Nodes	Cost
0	135	1676
1	358	1493
2	1733	1181
done	5001	1127

prune336.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 2.2b

regimes448.0ms

Accuracy

87.8% (0.4b remaining)

Error of 2.9b against oracle of 2.5b and baseline of 5.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	25	36
done	25	36

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

15756×

body

valid