Details

sample90.0ms

Algorithm

intervals

Results

31.0ms	272×	body	80	valid
22.0ms	324×	body	80	nan

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4987
8	2165
7	1360
6	876
5	580
4	389
3	184
2	62
1	24
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize33.0ms

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

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:

17.0ms	(+ y (/ 1.0 (* x 9.0)))
196.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(/ 1.0 (* x 9.0))
8.0ms	(* 3.0 (sqrt x))

series211.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ 1.0 (* x 9.0)))
97.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
29.0ms	(/ 1.0 (* x 9.0))
55.0ms	(* 3.0 (sqrt x))

simplify1.6s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	2128
1	654
0	230

prune680.0ms

Pruning

10 alts after pruning (10 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)))

rewrite498.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 181

Calls

4 calls:

17.0ms	(+ y (/ 1.0 (* x 9.0)))
220.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(/ 1.0 (* x 9.0))
241.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
74.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
22.0ms	(/ 1.0 (* x 9.0))
89.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.9s

Counts

193 → 193

Iterations

Iter	Nodes
done	5001
2	2173
1	728
0	277

prune834.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite690.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
11×	`pow1` `add-cube-cbrt`
9×	`associate-l`
7×	`associate-r`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `associate-r/` `-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 → 91

Calls

4 calls:

17.0ms	(+ y (/ 1.0 (* x 9.0)))
310.0ms	(* (- (+ y (/ 1.0 (* x 9.0))) 1.0) (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))
353.0ms	(* 3.0 (* (- (+ y (/ 1.0 (* x 9.0))) 1.0) (sqrt x)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ y (/ 1.0 (* x 9.0)))
89.0ms	(* (- (+ y (/ 1.0 (* x 9.0))) 1.0) (sqrt x))
30.0ms	(/ 1.0 (* x 9.0))
126.0ms	(* 3.0 (* (- (+ y (/ 1.0 (* x 9.0))) 1.0) (sqrt x)))

simplify1.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	1483
1	401
0	163

prune672.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.1b	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))

rewrite449.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
29×	`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` `associate-*r/` `log1p-expm1-u`
3×	`fma-def` `times-frac` `sqrt-prod` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `associate-l/` `associate--l+` `-commutative` `flip--` `distribute-lft-out--`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `flip-+` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

9.0ms	(+ y (/ 1.0 (* x 9.0)))
239.0ms	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms	(/ 1.0 (* x 9.0))
191.0ms	(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))

series205.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (/ 1.0 (* x 9.0)))
50.0ms	(* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0))
33.0ms	(/ 1.0 (* x 9.0))
89.0ms	(* (* 3.0 (- (+ y (/ 1.0 (* x 9.0))) 1.0)) (sqrt x))

simplify1.4s

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	1844
1	545
0	222

prune498.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	8633×	body	80	nan
595.0ms	8530×	body	80	valid