Details

sample45.0ms

Algorithm

intervals

Results

16.0ms	312×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid

simplify31.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
4	47
3	42
2	28
1	18
0	8

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ y z) x)
0.0b	(+ (* z 5.0) (* (+ y z) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

16.0ms	(* (+ y z) x)
7.0ms	(+ (* z 5.0) (* (+ y z) x))

series85.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (+ y z) x)
55.0ms	(+ (* z 5.0) (* (+ y z) x))

simplify499.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	832
1	190
0	68

prune186.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ y z)) (cbrt (+ y z)))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`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 → 95

Calls

4 calls:

32.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))

series728.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
161.0ms	(cbrt (+ y z))
193.0ms	(cbrt (+ y z))
166.0ms	(cbrt (+ y z))

simplify783.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1127
1	278
0	116

prune588.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* (+ y z) x) (* z 5.0)))
0.5b	(cbrt (+ (* (+ y z) x) (* z 5.0)))
0.5b	(cbrt (+ (* (+ y z) x) (* z 5.0)))
0.5b	(* (cbrt (+ (* (+ y z) x) (* z 5.0))) (cbrt (+ (* (+ y z) x) (* z 5.0))))

rewrite92.0ms

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:

7.0ms	(cbrt (+ (* (+ y z) x) (* z 5.0)))
7.0ms	(cbrt (+ (* (+ y z) x) (* z 5.0)))
7.0ms	(cbrt (+ (* (+ y z) x) (* z 5.0)))
68.0ms	(* (cbrt (+ (* (+ y z) x) (* z 5.0))) (cbrt (+ (* (+ y z) x) (* z 5.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (+ (* (+ y z) x) (* z 5.0)))
280.0ms	(cbrt (+ (* (+ y z) x) (* z 5.0)))
235.0ms	(cbrt (+ (* (+ y z) x) (* z 5.0)))
402.0ms	(* (cbrt (+ (* (+ y z) x) (* z 5.0))) (cbrt (+ (* (+ y z) x) (* z 5.0))))

simplify759.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1312
1	371
0	142

prune712.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (+ y z) x) (* z 5.0))) (cbrt (+ (* (+ y z) x) (* z 5.0))))
0.6b	(cbrt (cbrt (+ (* 5.0 z) (* (+ z y) x))))
0.6b	(cbrt (cbrt (+ (* 5.0 z) (* (+ z y) x))))
0.6b	(cbrt (cbrt (+ (* 5.0 z) (* (+ z y) x))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`*-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 → 96

Calls

4 calls:

66.0ms	(* (cbrt (+ (* (+ y z) x) (* z 5.0))) (cbrt (+ (* (+ y z) x) (* z 5.0))))
4.0ms	(cbrt (cbrt (+ (* 5.0 z) (* (+ z y) x))))
4.0ms	(cbrt (cbrt (+ (* 5.0 z) (* (+ z y) x))))
4.0ms	(cbrt (cbrt (+ (* 5.0 z) (* (+ z y) x))))

series1.2s

Counts

4 → 12

Calls

4 calls:

430.0ms	(* (cbrt (+ (* (+ y z) x) (* z 5.0))) (cbrt (+ (* (+ y z) x) (* z 5.0))))
233.0ms	(cbrt (cbrt (+ (* 5.0 z) (* (+ z y) x))))
251.0ms	(cbrt (cbrt (+ (* 5.0 z) (* (+ z y) x))))
281.0ms	(cbrt (cbrt (+ (* 5.0 z) (* (+ z y) x))))

simplify896.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	1903
1	477
0	189

prune804.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes348.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

516.0ms	9740×	body	80	valid
16.0ms	98×	body	1280	valid
16.0ms	115×	body	640	valid
6.0ms	60×	body	320	valid
2.0ms	25×	body	160	valid