Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
7.0ms	275×	body	80	nan

simplify76.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	40	13
3	66	13
4	90	13
5	114	13
6	127	13
7	129	13
done	129	13

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`fma-udef`

Counts

3 → 153

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
5.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
10.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
77.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
84.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify766.0ms

Counts

162 → 162

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	250	3612
1	568	3468
2	2524	3294
done	5000	3294

prune412.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))
0.0b	(/ 6.0 (log (exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
143×	`add-sqr-sqrt` `*-un-lft-identity`
126×	`exp-prod`
110×	`log-pow`
99×	`add-cube-cbrt`
30×	`associate-/r*`
22×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube` `div-inv`
7×	`flip3--` `flip--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 222

Calls

4 calls:

13.0ms	(log (exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
9.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
12.0ms	(exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))
24.0ms	(/ 6.0 (log (exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(log (exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
79.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
106.0ms	(exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))
86.0ms	(/ 6.0 (log (exp (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))))

simplify688.0ms

Counts

234 → 234

Iterations

Useful iterations: 2 (195.0ms)

Iter	Nodes	Cost
0	336	5111
1	623	4676
2	2193	4462
done	5001	4462

prune656.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
0.0b	(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
31×	`add-cube-cbrt`
19×	`times-frac`
18×	`prod-diff`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `sub-neg` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 101

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
2.0ms	(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
17.0ms	(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))

series189.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
66.0ms	(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
84.0ms	(* (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))

simplify1.1s

Counts

110 → 110

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	197	2253
1	510	2063
2	2022	1796
done	5001	1796

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
95×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 142

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
12.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series174.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
79.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
53.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify741.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (195.0ms)

Iter	Nodes	Cost
0	231	3328
1	629	3206
2	2394	3037
done	5000	3037

prune378.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: done (2.0ms)

Iter	Nodes	Cost
0	13	17
1	17	15
done	17	13

end0.0ms

sample667.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
226.0ms	7968×	body	80	nan