Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	288×	body	80	nan
11.0ms	269×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1794
5	791
4	440
3	188
2	64
1	24
0	12

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

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	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log`
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` `div-exp` `associate--l+` `associate-r/` `-commutative` `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 → 119

Calls

4 calls:

9.0ms	(+ y (/ 1.0 (* x 9.0)))
160.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
14.0ms	(* 3.0 (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))

series186.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ 1.0 (* x 9.0)))
71.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
58.0ms	(* 3.0 (sqrt x))
26.0ms	(/ 1.0 (* x 9.0))

simplify1.3s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	3913
1	656
0	230

prune669.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (+ (/ 1.0 (* x 9.0)) y) (sqrt x)) 3.0)
0.3b	(* (* (- 1.0) (sqrt x)) 3.0)
0.3b	(* (+ (/ 1.0 (* x 9.0)) y) (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

64.0ms	(* (* (+ (/ 1.0 (* x 9.0)) y) (sqrt x)) 3.0)
21.0ms	(* (* (- 1.0) (sqrt x)) 3.0)
56.0ms	(* (+ (/ 1.0 (* x 9.0)) y) (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))

series253.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* (+ (/ 1.0 (* x 9.0)) y) (sqrt x)) 3.0)
57.0ms	(* (* (- 1.0) (sqrt x)) 3.0)
73.0ms	(* (+ (/ 1.0 (* x 9.0)) y) (sqrt x))
19.0ms	(/ 1.0 (* x 9.0))

simplify1.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2849
1	491
0	186

prune520.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* (+ (/ 1.0 (* x 9.0)) y) (sqrt x)))
0.3b	(* (* (- 1.0) (sqrt x)) 3.0)
0.3b	(* (+ (/ 1.0 (* x 9.0)) y) (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

48.0ms	(* 3.0 (* (+ (/ 1.0 (* x 9.0)) y) (sqrt x)))
22.0ms	(* (* (- 1.0) (sqrt x)) 3.0)
55.0ms	(* (+ (/ 1.0 (* x 9.0)) y) (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))

series238.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* 3.0 (* (+ (/ 1.0 (* x 9.0)) y) (sqrt x)))
66.0ms	(* (* (- 1.0) (sqrt x)) 3.0)
67.0ms	(* (+ (/ 1.0 (* x 9.0)) y) (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))

simplify931.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2706
1	498
0	186

prune696.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (+ y (/ (/ 1.0 9.0) x)))
0.3b	(* (* (- 1.0) (sqrt x)) 3.0)
0.3b	(* (* 3.0 (+ y (/ (/ 1.0 9.0) x))) (sqrt x))
0.4b	(/ (/ 1.0 9.0) x)

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 143

Calls

4 calls:

92.0ms	(* 3.0 (+ y (/ (/ 1.0 9.0) x)))
21.0ms	(* (* (- 1.0) (sqrt x)) 3.0)
95.0ms	(* (* 3.0 (+ y (/ (/ 1.0 9.0) x))) (sqrt x))
9.0ms	(/ (/ 1.0 9.0) x)

series202.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 3.0 (+ y (/ (/ 1.0 9.0) x)))
44.0ms	(* (* (- 1.0) (sqrt x)) 3.0)
80.0ms	(* (* 3.0 (+ y (/ (/ 1.0 9.0) x))) (sqrt x))
28.0ms	(/ (/ 1.0 9.0) x)

simplify1.6s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
2	4506
1	813
0	296

prune893.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	35
3	35
2	31
1	23
0	15

end0.0ms

sample1.8s

Algorithm

intervals

Results

856.0ms	8465×	body	80	nan
577.0ms	8560×	body	80	valid