Details

sample75.0ms

Algorithm

intervals

Results

23.0ms	296×	body	80	nan
21.0ms	269×	body	80	valid

simplify9.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2364
7	1516
6	980
5	635
4	393
3	184
2	62
1	24
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize44.0ms

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))

rewrite564.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
487.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
23.0ms	(/ 1.0 (* x 9.0))
20.0ms	(* 3.0 (sqrt x))

series364.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ y (/ 1.0 (* x 9.0)))
110.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
29.0ms	(/ 1.0 (* x 9.0))
179.0ms	(* 3.0 (sqrt x))

simplify2.8s

Counts

131 → 131

Iterations

Iter	Nodes
done	5010
2	2148
1	654
0	230

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`pow1` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `associate-*r/` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `associate-/r*` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 96

Calls

4 calls:

14.0ms	(/ 1.0 (* x 9.0))
150.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 1.0 (* x 9.0))))
19.0ms	(* 3.0 (sqrt x))
27.0ms	(* 3.0 (sqrt x))

series770.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(/ 1.0 (* x 9.0))
184.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 1.0 (* x 9.0))))
351.0ms	(* 3.0 (sqrt x))
70.0ms	(* 3.0 (sqrt x))

simplify5.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1609
1	437
0	160

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x))) (* (* 3.0 (sqrt x)) (- 1.0)))
0.3b	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))
0.3b	(* 3.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
11×	`add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-l`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`*-commutative`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `distribute-rgt-neg-out` `flip-+` `distribute-lft-out`
1×	`+-commutative` `fma-def` `unsub-neg` `sum-log`

Counts

4 → 92

Calls

4 calls:

71.0ms	(+ (* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x))) (* (* 3.0 (sqrt x)) (- 1.0)))
159.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))
19.0ms	(* 3.0 (sqrt x))
18.0ms	(* 3.0 (sqrt x))

series427.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x))) (* (* 3.0 (sqrt x)) (- 1.0)))
121.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))
77.0ms	(* 3.0 (sqrt x))
70.0ms	(* 3.0 (sqrt x))

simplify3.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5024
2	1749
1	453
0	146

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

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

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cbrt-cube`
15×	`*-un-lft-identity`
13×	`pow1` `add-cube-cbrt`
12×	`associate-l`
11×	`associate-r`
8×	`sqrt-prod`
6×	`associate-*r/` `prod-exp` `cbrt-unprod`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out`

Counts

4 → 102

Calls

4 calls:

16.0ms	(/ 1.0 (* x 9.0))
90.0ms	(* (sqrt x) (+ y (/ 1.0 (* x 9.0))))
107.0ms	(* 3.0 (* (sqrt x) (+ y (/ 1.0 (* x 9.0)))))
22.0ms	(* 3.0 (sqrt x))

series358.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1.0 (* x 9.0))
123.0ms	(* (sqrt x) (+ y (/ 1.0 (* x 9.0))))
131.0ms	(* 3.0 (* (sqrt x) (+ y (/ 1.0 (* x 9.0)))))
67.0ms	(* 3.0 (sqrt x))

simplify5.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5020
2	1907
1	509
0	188

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes364.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	35
3	35
2	28
1	24
0	15

end0.0ms

sample2.4s

Algorithm

intervals

Results

933.0ms	8504×	body	80	valid
830.0ms	8322×	body	80	nan