Details

sample131.0ms

Algorithm

intervals

Results

50.0ms

460×

body

valid

simplify78.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	106
5	106
4	105
3	82
2	48
1	26
0	15

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite174.0ms

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:

31.0ms	(+ (+ (* x y) (* z t)) (* a b))
7.0ms	(+ (* x y) (* z t))
135.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series468.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (+ (* x y) (* z t)) (* a b))
50.0ms	(+ (* x y) (* z t))
314.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify1.4s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	1573
1	277
0	84

prune453.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

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

rewrite751.0ms

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:

583.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
48.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
63.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
54.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
143.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
155.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
140.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1147
1	304
0	121

prune903.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize164.0ms

Local error

Found 4 expressions with local error:

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

rewrite593.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 165

Calls

4 calls:

180.0ms	(* (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
140.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
124.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
133.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

435.0ms	(* (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
244.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
222.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
258.0ms	(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

simplify1.7s

Counts

177 → 177

Iterations

Iter	Nodes
done	5001
2	1358
1	491
0	256

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))) (* a b)) (* c i))
0.2b	(* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))
0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
33.4b	(cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t))))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`pow2` `sum-log` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `associate-+l+` `pow1/3` `rem-cbrt-cube`

Counts

4 → 140

Calls

4 calls:

43.0ms	(+ (+ (cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))) (* a b)) (* c i))
97.0ms	(* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))
40.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
57.0ms	(cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t))))

series540.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(+ (+ (cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))) (* a b)) (* c i))
155.0ms	(* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t)))
61.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
53.0ms	(cbrt (* (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* x y) (* z t))))

simplify1.1s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
1	791
0	223

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 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

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s

13954×

body

valid