Details

sample54.0ms

Algorithm

intervals

Results

15.0ms	273×	body	80	valid
15.0ms	266×	body	80	nan

simplify24.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	64	14
3	188	14
4	400	14
5	616	14
6	995	14
7	1394	14
8	1866	14
9	2606	14
10	3634	14
11	4214	14
12	4310	14
13	4311	14
done	4311	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

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))
0.6b	(/ 1.0 (* x 9.0))

rewrite586.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

13.0ms	(+ y (/ 1.0 (* x 9.0)))
543.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
14.0ms	(* 3.0 (sqrt x))
10.0ms	(/ 1.0 (* x 9.0))

series160.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ y (/ 1.0 (* x 9.0)))
69.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
38.0ms	(* 3.0 (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))

simplify1.2s

Counts

131 → 131

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	230	2240
1	575	1933
2	1825	1666
done	5001	1567

prune366.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
24×	`prod-diff`
22×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 96

Calls

3 calls:

14.0ms	(+ y (/ 0.1111111111111111 x))
240.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
14.0ms	(* 3.0 (sqrt x))

series192.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ y (/ 0.1111111111111111 x))
96.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
46.0ms	(* 3.0 (sqrt x))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	192	1851
1	496	1569
2	1471	1340
done	5000	1261

prune276.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* (- (+ y (/ 0.1111111111111111 x)) 1.0) (sqrt x))
0.4b	(* 3.0 (* (- (+ y (/ 0.1111111111111111 x)) 1.0) (sqrt x)))

rewrite712.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`add-log-exp`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `difference-of-squares`

Counts

3 → 68

Calls

3 calls:

17.0ms	(+ y (/ 0.1111111111111111 x))
295.0ms	(* (- (+ y (/ 0.1111111111111111 x)) 1.0) (sqrt x))
397.0ms	(* 3.0 (* (- (+ y (/ 0.1111111111111111 x)) 1.0) (sqrt x)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ y (/ 0.1111111111111111 x))
87.0ms	(* (- (+ y (/ 0.1111111111111111 x)) 1.0) (sqrt x))
92.0ms	(* 3.0 (* (- (+ y (/ 0.1111111111111111 x)) 1.0) (sqrt x)))

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	121	999
1	300	939
2	1055	841
done	5000	829

prune296.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.1b	(* 3.0 (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b	(* (* 3.0 (- (+ y (/ 0.1111111111111111 x)) 1.0)) (sqrt x))

rewrite664.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`prod-diff`
22×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out`
5×	`add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `sqrt-prod` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `associate-l/` `associate--l+` `-commutative` `flip--` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

3 → 97

Calls

3 calls:

23.0ms	(+ y (/ 0.1111111111111111 x))
315.0ms	(* 3.0 (- (+ y (/ 0.1111111111111111 x)) 1.0))
318.0ms	(* (* 3.0 (- (+ y (/ 0.1111111111111111 x)) 1.0)) (sqrt x))

series183.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ y (/ 0.1111111111111111 x))
40.0ms	(* 3.0 (- (+ y (/ 0.1111111111111111 x)) 1.0))
105.0ms	(* (* 3.0 (- (+ y (/ 0.1111111111111111 x)) 1.0)) (sqrt x))

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	183	1808
1	418	1537
2	1191	1285
done	5000	1207

prune220.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	10	11
done	10	11

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	8563×	body	80	valid
779.0ms	8656×	body	80	nan