Details

sample41.0ms

Algorithm

intervals

Results

16.0ms	319×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

31.0ms	(* x (+ y z))
20.0ms	(+ (* x (+ y z)) (* z 5.0))

series78.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* x (+ y z))
45.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify1.1s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	1001
1	225
0	72

prune207.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

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:

8.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
94.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))

series903.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
192.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
238.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
258.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))

simplify1.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1272
1	347
0	132

prune707.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize448.0ms

Local error

Found 4 expressions with local error:

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

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-div`
24×	`flip3-+` `flip-+`
20×	`add-sqr-sqrt`
19×	`cbrt-prod`
16×	`frac-times`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`associate-l/` `associate-r/`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `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 → 99

Calls

4 calls:

116.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
49.0ms	(cbrt (* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0)))))
45.0ms	(cbrt (* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0)))))
26.0ms	(cbrt (* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
263.0ms	(cbrt (* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0)))))
347.0ms	(cbrt (* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0)))))
309.0ms	(cbrt (* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0)))))

simplify1.3s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1280
1	363
0	148

prune882.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
7.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
8.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

series886.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
208.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
210.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))
260.0ms	(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify2.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	4321
2	619
1	184
0	68

prune467.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes322.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample924.0ms

Algorithm

intervals

Results

544.0ms	9872×	body	80	valid
20.0ms	138×	body	640	valid
19.0ms	101×	body	1280	valid
7.0ms	64×	body	320	valid
2.0ms	30×	body	160	valid