Details

sample82.0ms

Algorithm

intervals

Results

33.0ms

439×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	4882
5	1433
4	655
3	253
2	89
1	37
0	18

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
0.5b	(* (* x 9.0) y)
2.7b	(/ (+ b (* (* x 9.0) y)) z)
10.1b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-l` `*-commutative` `flip-+`

Counts

4 → 89

Calls

4 calls:

55.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
25.0ms	(* (* x 9.0) y)
20.0ms	(/ (+ b (* (* x 9.0) y)) z)
97.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

series453.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
27.0ms	(* (* x 9.0) y)
70.0ms	(/ (+ b (* (* x 9.0) y)) z)
185.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	1559
1	458
0	182

prune757.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a))
0.5b	(* (* x 9.0) y)
2.8b	(* (+ b (* (* x 9.0) y)) (/ 1 z))
10.1b	(/ (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a)) c)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac` `add-exp-log`
16×	`add-cbrt-cube` `associate-r`
11×	`pow1`
7×	`prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`associate-/r` `div-exp` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `flip3-+` `flip3--` `associate-l/` `-commutative` `flip-+` `div-inv` `flip--` `associate-/l/`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `div-sub` `associate-*r/` `un-div-inv`

Counts

4 → 100

Calls

4 calls:

20.0ms	(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a))
20.0ms	(* (* x 9.0) y)
28.0ms	(* (+ b (* (* x 9.0) y)) (/ 1 z))
39.0ms	(/ (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a)) c)

series539.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a))
28.0ms	(* (* x 9.0) y)
88.0ms	(* (+ b (* (* x 9.0) y)) (/ 1 z))
222.0ms	(/ (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* t 4.0) a)) c)

simplify1.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	1982
1	574
0	212

prune753.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
0.5b	(* (* x 9.0) y)
2.7b	(/ (+ b (* (* x 9.0) y)) z)
10.2b	(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) (/ 1 c))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac` `add-exp-log`
16×	`add-cbrt-cube` `associate-r`
11×	`pow1`
7×	`prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`associate-/r` `flip3--` `div-exp` `flip--` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `1-exp` `associate-*r/` `un-div-inv` `flip-+`

Counts

4 → 99

Calls

4 calls:

48.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
20.0ms	(* (* x 9.0) y)
25.0ms	(/ (+ b (* (* x 9.0) y)) z)
139.0ms	(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) (/ 1 c))

series511.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
22.0ms	(* (* x 9.0) y)
74.0ms	(/ (+ b (* (* x 9.0) y)) z)
212.0ms	(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) (/ 1 c))

simplify1.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5009
2	1751
1	534
0	207

prune875.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
0.5b	(* (* x 9.0) y)
2.7b	(/ (+ b (* (* x 9.0) y)) z)
10.1b	(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `associate-/r/` `div-inv` `flip--` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip-+`

Counts

4 → 88

Calls

4 calls:

57.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
14.0ms	(* (* x 9.0) y)
21.0ms	(/ (+ b (* (* x 9.0) y)) z)
73.0ms	(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
27.0ms	(* (* x 9.0) y)
100.0ms	(/ (+ b (* (* x 9.0) y)) z)
106.0ms	(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)))

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1347
1	408
0	172

prune797.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 8.1b

regimes1.9s

Accuracy

60.2% (2.5b remaining)

Error of 8.8b against oracle of 6.3b and baseline of 12.5b

bsearch265.0ms

Steps

Iters	Range		Point
8	5.76040767767184e-102	2.44134758399564e-97	2.2852736883489136e-97
7	-4.456091064453079e-72	-6.690501164729564e-74	-4.4023500920418833e-72

simplify10.0ms

Iterations

Iter	Nodes
done	48
1	48
0	32

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s

12738×

body

valid