Details

sample185.0ms

Algorithm

intervals

Results

77.0ms

498×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1710
3	614
2	201
1	66
0	28

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
6.6b	(* (* (* x 18.0) y) z)
6.6b	(* (* (* (* x 18.0) y) z) t)

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

14.0ms	(* (* x 18.0) y)
13.0ms	(* (* j 27.0) k)
65.0ms	(* (* (* x 18.0) y) z)
227.0ms	(* (* (* (* x 18.0) y) z) t)

series164.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x 18.0) y)
30.0ms	(* (* j 27.0) k)
38.0ms	(* (* (* x 18.0) y) z)
60.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3116
1	370
0	137

prune831.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (* t x) z) y) 18.0)
0.2b	(* (* j 27.0) k)
5.0b	(* (* t x) z)
5.6b	(* (* (* t x) z) y)

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

220.0ms	(* (* (* (* t x) z) y) 18.0)
27.0ms	(* (* j 27.0) k)
26.0ms	(* (* t x) z)
56.0ms	(* (* (* t x) z) y)

series205.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (* (* (* t x) z) y) 18.0)
27.0ms	(* (* j 27.0) k)
51.0ms	(* (* t x) z)
50.0ms	(* (* (* t x) z) y)

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	2741
1	362
0	134

prune709.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ (- (* (* (* t x) z) (* 18.0 y)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
0.2b	(* (* j 27.0) k)
5.0b	(* (* t x) z)
5.7b	(* (* (* t x) z) (* 18.0 y))

rewrite9.5s

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`add-log-exp`
8×	`diff-log`
7×	`associate-r`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate--l+`
3×	`associate-l` `*-commutative`
2×	`sum-log` `sub-neg`
1×	`associate--l-` `flip3--` `flip--`

Counts

4 → 83

Calls

4 calls:

9.4s	(- (- (+ (- (* (* (* t x) z) (* 18.0 y)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
14.0ms	(* (* j 27.0) k)
16.0ms	(* (* t x) z)
77.0ms	(* (* (* t x) z) (* 18.0 y))

series3.4s

Counts

4 → 12

Calls

4 calls:

3.2s	(- (- (+ (- (* (* (* t x) z) (* 18.0 y)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
36.0ms	(* (* j 27.0) k)
44.0ms	(* (* t x) z)
77.0ms	(* (* (* t x) z) (* 18.0 y))

simplify1.7s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2676
1	459
0	172

prune808.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ (- (* (* t (* z x)) (* 18.0 y)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
0.2b	(* (* j 27.0) k)
4.6b	(* t (* z x))
5.7b	(* (* t (* z x)) (* 18.0 y))

rewrite8.1s

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`add-log-exp`
8×	`diff-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`associate--l+`
3×	`*-commutative`
2×	`sum-log` `sub-neg`
1×	`associate--l-` `flip3--` `flip--`

Counts

4 → 83

Calls

4 calls:

8.0s	(- (- (+ (- (* (* t (* z x)) (* 18.0 y)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
24.0ms	(* (* j 27.0) k)
12.0ms	(* t (* z x))
76.0ms	(* (* t (* z x)) (* 18.0 y))

series3.4s

Counts

4 → 12

Calls

4 calls:

3.3s	(- (- (+ (- (* (* t (* z x)) (* 18.0 y)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
28.0ms	(* (* j 27.0) k)
36.0ms	(* t (* z x))
66.0ms	(* (* t (* z x)) (* 18.0 y))

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2501
1	454
0	171

prune705.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes1.8s

Accuracy

88.4% (0.5b remaining)

Error of 0.8b against oracle of 0.3b and baseline of 4.9b

bsearch4.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	70
1	70
0	46

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.0s

15995×

body

valid