Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

325×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	2716
9	626
8	237
7	98
6	80
5	69
4	49
3	31
2	17
1	10
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

23.0ms	(* (- y x) z)
6.0ms	(+ x (* (- y x) z))

series121.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (- y x) z)
63.0ms	(+ x (* (- y x) z))

simplify506.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	633
1	167
0	68

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (cbrt (pow (* (- y x) z) 3)))
0.2b	(pow (* (- y x) z) 3)
35.4b	(cbrt (pow (* (- y x) z) 3))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*l/` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-r` `flip--`
2×	`cube-mult` `cbrt-div` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow1/3` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

35.0ms	(* (- y x) z)
12.0ms	(+ x (cbrt (pow (* (- y x) z) 3)))
15.0ms	(pow (* (- y x) z) 3)
6.0ms	(cbrt (pow (* (- y x) z) 3))

series345.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- y x) z)
83.0ms	(+ x (cbrt (pow (* (- y x) z) 3)))
93.0ms	(pow (* (- y x) z) 3)
107.0ms	(cbrt (pow (* (- y x) z) 3))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	2266
1	387
0	138

prune469.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
0.1b	(* (- y x) (sqrt z))
0.1b	(* (* (- y x) (sqrt z)) (sqrt z))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 60

Calls

3 calls:

10.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
28.0ms	(* (- y x) (sqrt z))
66.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

series207.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
76.0ms	(* (- y x) (sqrt z))
63.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5002
2	1323
1	293
0	111

prune277.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(* (- y x) (* (sqrt z) (sqrt (sqrt z))))
0.2b	(* (sqrt z) (sqrt (sqrt z)))
0.2b	(* (* (- y x) (* (sqrt z) (sqrt (sqrt z)))) (sqrt (sqrt z)))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
33×	`add-sqr-sqrt`
31×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
19×	`associate-r`
17×	`*-un-lft-identity`
15×	`sqrt-pow1` `add-cube-cbrt`
12×	`associate-l` `pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
9×	`pow1/2`
6×	`associate-*l/` `pow-prod-up` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `flip3--` `pow3` `flip--`
1×	`sqrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
50.0ms	(* (- y x) (* (sqrt z) (sqrt (sqrt z))))
26.0ms	(* (sqrt z) (sqrt (sqrt z)))
139.0ms	(* (* (- y x) (* (sqrt z) (sqrt (sqrt z)))) (sqrt (sqrt z)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(sqrt (sqrt z))
177.0ms	(* (- y x) (* (sqrt z) (sqrt (sqrt z))))
282.0ms	(* (sqrt z) (sqrt (sqrt z)))
51.0ms	(* (* (- y x) (* (sqrt z) (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify1.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2114
1	451
0	169

prune583.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample915.0ms

Algorithm

intervals

Results

439.0ms

10176×

body

valid