Details

sample50.0ms

Algorithm

intervals

Results

23.0ms	294×	body	80	nan
12.0ms	275×	body	80	valid

simplify3.0s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize38.0ms

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))

rewrite233.0ms

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` `insert-posit16`
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 → 88

Calls

4 calls:

18.0ms	(+ y (/ 1.0 (* x 9.0)))
192.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms	(/ 1.0 (* x 9.0))
12.0ms	(* 3.0 (sqrt x))

series188.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ y (/ 1.0 (* x 9.0)))
77.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
21.0ms	(/ 1.0 (* x 9.0))
55.0ms	(* 3.0 (sqrt x))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1645
1	485
0	182

prune458.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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

rewrite497.0ms

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` `insert-posit16`
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 → 102

Calls

4 calls:

16.0ms	(+ y (/ 1.0 (* x 9.0)))
219.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms	(/ 1.0 (* x 9.0))
244.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ 1.0 (* x 9.0)))
77.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(/ 1.0 (* x 9.0))
83.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	1611
1	460
0	181

prune612.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
16×	`pow1`
15×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
8×	`associate-l` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
4×	`sqrt-prod` `insert-posit16` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3--` `div-inv` `flip--`

Counts

4 → 85

Calls

4 calls:

11.0ms	(* (sqrt x) y)
7.0ms	(/ 1.0 (* x 9.0))
81.0ms	(* (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0)) 3.0)
23.0ms	(* (* (sqrt x) y) 3.0)

series233.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (sqrt x) y)
18.0ms	(/ 1.0 (* x 9.0))
77.0ms	(* (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0)) 3.0)
72.0ms	(* (* (sqrt x) y) 3.0)

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5003
2	1578
1	475
0	182

prune558.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
55×	`add-sqr-sqrt`
51×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-cbrt-cube` `add-exp-log`
16×	`pow1`
13×	`associate-/l*`
9×	`associate-r`
8×	`associate-l`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`div-inv`
4×	`sqrt-prod` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `-commutative`
2×	`associate-l/` `associate-r/` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3--` `flip--` `associate-/l/`

Counts

4 → 134

Calls

4 calls:

17.0ms	(* (sqrt x) y)
18.0ms	(/ (/ 1.0 x) 9.0)
180.0ms	(* (* (sqrt x) (- (/ (/ 1.0 x) 9.0) 1.0)) 3.0)
40.0ms	(* (* (sqrt x) y) 3.0)

series224.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (sqrt x) y)
18.0ms	(/ (/ 1.0 x) 9.0)
82.0ms	(* (* (sqrt x) (- (/ (/ 1.0 x) 9.0) 1.0)) 3.0)
68.0ms	(* (* (sqrt x) y) 3.0)

simplify1.5s

Counts

146 → 146

Iterations

Iter	Nodes
done	5004
2	2120
1	725
0	282

prune651.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s	8644×	body	80	nan
720.0ms	8473×	body	80	valid