Details

sample62.0ms

Algorithm

intervals

Results

29.0ms

458×

body

valid

simplify76.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	84
4	84
3	73
2	46
1	26
0	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

12.0ms	(+ (* x y) (* z t))
44.0ms	(+ (+ (* x y) (* z t)) (* a b))
144.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series498.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (* x y) (* z t))
82.0ms	(+ (+ (* x y) (* z t)) (* a b))
364.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify1.6s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	1368
1	275
0	84

prune525.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite718.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

543.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
55.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
58.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
59.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series727.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
173.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
155.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
163.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify2.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	3581
2	885
1	301
0	121

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize161.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.6b	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

rewrite519.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-div`
14×	`flip3-+` `flip-+`
8×	`cbrt-prod` `frac-times`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `associate-l/` `associate-r/` `add-exp-log` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

66.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
67.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
204.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
180.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

series864.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
164.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
259.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
276.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

simplify2.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2671
2	668
1	252
0	116

prune987.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.3b	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite887.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-log-exp`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`sum-log` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `associate-+l+` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

114.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
105.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
153.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
511.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series11.7s

Counts

4 → 12

Calls

4 calls:

297.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.4s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
5.7s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
315.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify1.3s

Counts

113 → 113

Iterations

Iter	Nodes
done	5004
2	1262
1	355
0	144

prune727.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes1.7s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

13628×

body

valid