Details

sample101.0ms

Algorithm

intervals

Results

42.0ms

356×

body

valid

simplify11.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	4651
12	3777
11	2781
10	2016
9	1381
8	1141
7	1013
6	749
5	514
4	337
3	192
2	80
1	34
0	17

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize297.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.3b	(* (* a 27.0) b)
8.0b	(* (* (* y 9.0) z) t)

rewrite703.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

83.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
36.0ms	(* (* y 9.0) z)
40.0ms	(* (* a 27.0) b)
534.0ms	(* (* (* y 9.0) z) t)

series704.0ms

Counts

4 → 12

Calls

4 calls:

514.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
39.0ms	(* (* y 9.0) z)
53.0ms	(* (* a 27.0) b)
97.0ms	(* (* (* y 9.0) z) t)

simplify3.7s

Counts

84 → 84

Iterations

Iter	Nodes
done	5004
2	1368
1	378
0	140

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* b a) 27.0) (* (* t y) (* z 9.0)))
0.4b	(* (* b a) 27.0)
6.5b	(* (* t y) (* z 9.0))

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 52

Calls

3 calls:

73.0ms	(- (* (* b a) 27.0) (* (* t y) (* z 9.0)))
89.0ms	(* (* b a) 27.0)
200.0ms	(* (* t y) (* z 9.0))

series244.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(- (* (* b a) 27.0) (* (* t y) (* z 9.0)))
39.0ms	(* (* b a) 27.0)
52.0ms	(* (* t y) (* z 9.0))

simplify2.9s

Counts

61 → 61

Iterations

Iter	Nodes
done	5001
2	1128
1	294
0	110

prune765.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (* b a) (sqrt 27.0)) (sqrt 27.0)) (* (* t y) (* z 9.0)))
0.3b	(* (* (* b a) (sqrt 27.0)) (sqrt 27.0))
0.3b	(* (* b a) (sqrt 27.0))
6.5b	(* (* t y) (* z 9.0))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 79

Calls

4 calls:

130.0ms	(- (* (* (* b a) (sqrt 27.0)) (sqrt 27.0)) (* (* t y) (* z 9.0)))
130.0ms	(* (* (* b a) (sqrt 27.0)) (sqrt 27.0))
38.0ms	(* (* b a) (sqrt 27.0))
66.0ms	(* (* t y) (* z 9.0))

series551.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(- (* (* (* b a) (sqrt 27.0)) (sqrt 27.0)) (* (* t y) (* z 9.0)))
127.0ms	(* (* (* b a) (sqrt 27.0)) (sqrt 27.0))
85.0ms	(* (* b a) (sqrt 27.0))
59.0ms	(* (* t y) (* z 9.0))

simplify6.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1495
1	382
0	139

prune900.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* a (sqrt 27.0))
0.2b	(* b (* a (sqrt 27.0)))
0.3b	(* (* b (* a (sqrt 27.0))) (sqrt 27.0))
6.5b	(* (* t y) (* z 9.0))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`add-sqr-sqrt` `associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
7×	`sqrt-prod`
4×	`*-commutative` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 86

Calls

4 calls:

16.0ms	(* a (sqrt 27.0))
36.0ms	(* b (* a (sqrt 27.0)))
121.0ms	(* (* b (* a (sqrt 27.0))) (sqrt 27.0))
63.0ms	(* (* t y) (* z 9.0))

series374.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* a (sqrt 27.0))
83.0ms	(* b (* a (sqrt 27.0)))
123.0ms	(* (* b (* a (sqrt 27.0))) (sqrt 27.0))
49.0ms	(* (* t y) (* z 9.0))

simplify3.1s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1382
1	347
0	134

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes3.1s

Accuracy

88.6% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.8b

bsearch2.0ms

simplify43.0ms

Iterations

Iter	Nodes
done	49
1	49
0	32

end5.0ms

sample4.3s

Algorithm

intervals

Results

3.4s

10923×

body

valid