Details

sample74.0ms

Algorithm

intervals

Results

22.0ms	296×	body	80	nan
20.0ms	269×	body	80	valid

simplify10.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
9	2915
8	1598
7	936
6	646
5	438
4	322
3	176
2	62
1	24
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize49.0ms

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))

rewrite389.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
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` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `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 → 84

Calls

4 calls:

22.0ms	(+ y (/ 1.0 (* x 9.0)))
326.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))
20.0ms	(* 3.0 (sqrt x))

series552.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ y (/ 1.0 (* x 9.0)))
186.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
183.0ms	(/ 1.0 (* x 9.0))
126.0ms	(* 3.0 (sqrt x))

simplify4.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1643
1	482
0	178

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

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))

rewrite167.0ms

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×	`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 → 88

Calls

4 calls:

15.0ms	(/ 1.0 (* x 9.0))
106.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 1.0 (* x 9.0))))
20.0ms	(* 3.0 (sqrt x))
20.0ms	(* 3.0 (sqrt x))

series291.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 1.0 (* x 9.0))
123.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 1.0 (* x 9.0))))
63.0ms	(* 3.0 (sqrt x))
74.0ms	(* 3.0 (sqrt x))

simplify8.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5005
2	1546
1	423
0	154

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

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))

rewrite727.0ms

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×	`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` `unsub-neg` `sum-log`

Counts

4 → 83

Calls

4 calls:

149.0ms	(+ (* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x))) (* (* 3.0 (sqrt x)) (- 1.0)))
371.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))
94.0ms	(* 3.0 (sqrt x))
53.0ms	(* 3.0 (sqrt x))

series749.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(+ (* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x))) (* (* 3.0 (sqrt x)) (- 1.0)))
129.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))
70.0ms	(* 3.0 (sqrt x))
293.0ms	(* 3.0 (sqrt x))

simplify3.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1585
1	429
0	140

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

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))

rewrite765.0ms

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×	`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 → 94

Calls

4 calls:

28.0ms	(/ 1.0 (* x 9.0))
322.0ms	(* (sqrt x) (+ y (/ 1.0 (* x 9.0))))
350.0ms	(* 3.0 (* (sqrt x) (+ y (/ 1.0 (* x 9.0)))))
42.0ms	(* 3.0 (sqrt x))

series790.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ 1.0 (* x 9.0))
310.0ms	(* (sqrt x) (+ y (/ 1.0 (* x 9.0))))
307.0ms	(* 3.0 (* (sqrt x) (+ y (/ 1.0 (* x 9.0)))))
102.0ms	(* 3.0 (sqrt x))

simplify5.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	5011
2	1888
1	495
0	180

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes444.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify23.0ms

Iterations

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

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	8322×	body	80	nan
980.0ms	8504×	body	80	valid