Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	285×	body	80	nan
11.0ms	267×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite220.0ms

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:

14.0ms	(+ y (/ 1.0 (* x 9.0)))
10.0ms	(/ 1.0 (* x 9.0))
182.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms	(* 3.0 (sqrt x))

series235.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ y (/ 1.0 (* x 9.0)))
31.0ms	(/ 1.0 (* x 9.0))
99.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
62.0ms	(* 3.0 (sqrt x))

simplify1.6s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	3951
1	655
0	230

prune593.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite605.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

109.0ms	(+ (- (/ 1.0 (* 9.0 x)) 1.0) y)
217.0ms	(* 3.0 (* (+ (- (/ 1.0 (* 9.0 x)) 1.0) y) (sqrt x)))
8.0ms	(/ 1.0 (* 9.0 x))
267.0ms	(* (+ (- (/ 1.0 (* 9.0 x)) 1.0) y) (sqrt x))

series192.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (- (/ 1.0 (* 9.0 x)) 1.0) y)
72.0ms	(* 3.0 (* (+ (- (/ 1.0 (* 9.0 x)) 1.0) y) (sqrt x)))
18.0ms	(/ 1.0 (* 9.0 x))
67.0ms	(* (+ (- (/ 1.0 (* 9.0 x)) 1.0) y) (sqrt x))

simplify708.0ms

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	1850
1	426
0	172

prune741.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 0.1111111111111111 x) 1.0)
0.2b	(* (+ (- (/ 0.1111111111111111 x) 1.0) y) (sqrt x))
0.3b	(* 3.0 (* (+ (- (/ 0.1111111111111111 x) 1.0) y) (sqrt x)))

rewrite485.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
48×	`add-cube-cbrt`
39×	`prod-diff`
37×	`times-frac`
13×	`fma-neg`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`associate-l`
7×	`associate-r`
5×	`add-log-exp`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `sqrt-prod` `cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 119

Calls

3 calls:

30.0ms	(- (/ 0.1111111111111111 x) 1.0)
211.0ms	(* (+ (- (/ 0.1111111111111111 x) 1.0) y) (sqrt x))
238.0ms	(* 3.0 (* (+ (- (/ 0.1111111111111111 x) 1.0) y) (sqrt x)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (/ 0.1111111111111111 x) 1.0)
95.0ms	(* (+ (- (/ 0.1111111111111111 x) 1.0) y) (sqrt x))
86.0ms	(* 3.0 (* (+ (- (/ 0.1111111111111111 x) 1.0) y) (sqrt x)))

simplify777.0ms

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	1647
1	476
0	199

prune557.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* 1.0 (/ (/ 1 x) 9.0)) 1.0) y)
0.2b	(* 3.0 (* (+ (- (* 1.0 (/ (/ 1 x) 9.0)) 1.0) y) (sqrt x)))
0.3b	(/ (/ 1 x) 9.0)
0.3b	(* (+ (- (* 1.0 (/ (/ 1 x) 9.0)) 1.0) y) (sqrt x))

rewrite514.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity`
52×	`add-cube-cbrt`
20×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`associate-/l*`
11×	`pow1`
9×	`add-log-exp`
7×	`associate-r` `associate-l`
6×	`div-exp`
5×	`associate-+l+` `div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `fma-def` `flip3-+` `prod-diff` `flip-+`
2×	`sum-log` `associate-r/` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `associate-+l-` `associate-/l/`

Counts

4 → 147

Calls

4 calls:

93.0ms	(+ (- (* 1.0 (/ (/ 1 x) 9.0)) 1.0) y)
197.0ms	(* 3.0 (* (+ (- (* 1.0 (/ (/ 1 x) 9.0)) 1.0) y) (sqrt x)))
13.0ms	(/ (/ 1 x) 9.0)
205.0ms	(* (+ (- (* 1.0 (/ (/ 1 x) 9.0)) 1.0) y) (sqrt x))

series232.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (- (* 1.0 (/ (/ 1 x) 9.0)) 1.0) y)
95.0ms	(* 3.0 (* (+ (- (* 1.0 (/ (/ 1 x) 9.0)) 1.0) y) (sqrt x)))
26.0ms	(/ (/ 1 x) 9.0)
75.0ms	(* (+ (- (* 1.0 (/ (/ 1 x) 9.0)) 1.0) y) (sqrt x))

simplify1.4s

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
2	2770
1	647
0	270

prune620.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes217.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b 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

949.0ms	8676×	body	80	nan
586.0ms	8545×	body	80	valid