Details

sample49.0ms

Algorithm

intervals

Results

14.0ms	278×	body	80	valid
13.0ms	266×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
9	2920
8	1615
7	959
6	645
5	435
4	318
3	176
2	62
1	24
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate--l+` `associate-r/` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `flip3--` `flip-+` `div-inv` `flip--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ y (/ 1.0 (* x 9.0)))
168.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* 3.0 (sqrt x))

series203.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (/ 1.0 (* x 9.0)))
97.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
29.0ms	(/ 1.0 (* x 9.0))
45.0ms	(* 3.0 (sqrt x))

simplify1.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5007
2	1635
1	482
0	178

prune559.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b	(/ 1.0 (* x 9.0))

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
15×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate--l+` `associate-*r/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `sqrt-prod`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 98

Calls

4 calls:

18.0ms	(+ y (/ 1.0 (* x 9.0)))
213.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
213.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
7.0ms	(/ 1.0 (* x 9.0))

series292.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ y (/ 1.0 (* x 9.0)))
78.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
124.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
35.0ms	(/ 1.0 (* x 9.0))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5008
2	1617
1	459
0	177

prune725.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))
0.5b	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
28×	`sqrt-pow1`
26×	`add-sqr-sqrt`
22×	`pow-prod-down`
16×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`sqrt-prod`
10×	`pow1/2` `associate-l` `pow-prod-up`
6×	`pow-sqr`
5×	`unswap-sqr`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow2` `clear-num` `associate-/r*` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `div-inv`

Counts

4 → 114

Calls

4 calls:

6.0ms	(/ 1.0 (* x 9.0))
8.0ms	(* 3.0 (sqrt x))
12.0ms	(* 3.0 (sqrt x))
33.0ms	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1.0 (* x 9.0))
79.0ms	(* 3.0 (sqrt x))
49.0ms	(* 3.0 (sqrt x))
148.0ms	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

simplify3.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5101
3	4548
2	1107
1	398
0	164

prune607.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.1b	(sqrt (* (* 3.0 3.0) x))
0.2b	(* (sqrt (* (* 3.0 3.0) x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `pow1`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`associate-l` `pow-prod-down`
3×	`distribute-rgt-in` `distribute-lft-in` `sqrt-pow1` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate--l+` `associate-*r/` `sqrt-prod` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `clear-num` `associate-/r` `sum-log` `frac-2neg` `flip3-+` `flip3--` `pow1/2` `-commutative` `flip-+` `div-inv` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

18.0ms	(+ y (/ 1.0 (* x 9.0)))
16.0ms	(sqrt (* (* 3.0 3.0) x))
246.0ms	(* (sqrt (* (* 3.0 3.0) x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
13.0ms	(/ 1.0 (* x 9.0))

series329.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ y (/ 1.0 (* x 9.0)))
83.0ms	(sqrt (* (* 3.0 3.0) x))
163.0ms	(* (sqrt (* (* 3.0 3.0) x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
43.0ms	(/ 1.0 (* x 9.0))

simplify1.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
2	1524
1	455
0	180

prune531.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

640.0ms	8550×	body	80	valid
626.0ms	8443×	body	80	nan