Details

sample145.0ms

Algorithm

intervals

Results

99.0ms	190×	body	1280	valid
11.0ms	264×	body	80	valid
9.0ms	32×	body	640	valid
4.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2899
9	809
8	249
7	88
6	71
5	62
4	56
3	40
2	26
1	14
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ -1 (exp x))
0.0b	(- (exp x) 2.0)
3.0b	(- (- (exp x) 2.0) (/ -1 (exp x)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-sqr-sqrt` `*-un-lft-identity`
83×	`prod-diff`
73×	`add-cube-cbrt`
55×	`times-frac`
18×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate--l+`
10×	`add-log-exp`
8×	`fma-neg`
6×	`div-inv`
5×	`add-cbrt-cube`
4×	`diff-log` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `sub-neg` `flip3--` `log1p-expm1-u` `flip--` `associate-/l`
2×	`frac-sub`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp`

Counts

3 → 160

Calls

3 calls:

5.0ms	(/ -1 (exp x))
11.0ms	(- (exp x) 2.0)
105.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ -1 (exp x))
23.0ms	(- (exp x) 2.0)
105.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

simplify1.8s

Counts

169 → 169

Iterations

Iter	Nodes
done	5001
2	2591
1	644
0	262

prune722.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* x (* x x))
0.1b	(* 1/360 (* x (* x x)))
0.2b	(* 1/12 (* x x))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
28×	`add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
11×	`add-sqr-sqrt`
10×	`pow-prod-up`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr`

Counts

4 → 96

Calls

4 calls:

25.0ms	(* x (* x x))
31.0ms	(* x (* x x))
43.0ms	(* 1/360 (* x (* x x)))
13.0ms	(* 1/12 (* x x))

series209.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* x (* x x))
39.0ms	(* x (* x x))
75.0ms	(* 1/360 (* x (* x x)))
32.0ms	(* 1/12 (* x x))

simplify1.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1637
1	240
0	89

prune316.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (- (- (exp x) 2.0) (/ -1 (exp x)))) (cbrt (- (- (exp x) 2.0) (/ -1 (exp x)))))
3.0b	(- (- (exp x) 2.0) (/ -1 (exp x)))
3.0b	(- (- (exp x) 2.0) (/ -1 (exp x)))
3.0b	(- (- (exp x) 2.0) (/ -1 (exp x)))

rewrite610.0ms

Algorithm

rewrite-expression-head

Rules

320×	`*-un-lft-identity`
304×	`add-sqr-sqrt`
222×	`prod-diff`
177×	`add-cube-cbrt`
142×	`times-frac`
75×	`distribute-lft-out--`
56×	`difference-of-squares`
44×	`cbrt-prod`
40×	`cbrt-div`
33×	`associate--l+`
26×	`flip3--` `frac-sub` `flip--`
19×	`add-log-exp`
16×	`frac-times` `swap-sqr`
15×	`fma-neg` `div-inv`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`diff-log`
6×	`sub-neg` `pow1/3` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `associate-l/` `associate-r/` `log1p-expm1-u` `unswap-sqr`
3×	`associate--l-`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 393

Calls

4 calls:

317.0ms	(* (cbrt (- (- (exp x) 2.0) (/ -1 (exp x)))) (cbrt (- (- (exp x) 2.0) (/ -1 (exp x)))))
83.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))
79.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))
110.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (cbrt (- (- (exp x) 2.0) (/ -1 (exp x)))) (cbrt (- (- (exp x) 2.0) (/ -1 (exp x)))))
63.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))
86.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))
76.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

simplify2.4s

Counts

405 → 405

Iterations

Iter	Nodes
done	5000
2	3016
1	753
0	335

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize200.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (exp x)))
3.0b	(- (- (exp x) 2.0) (/ -1 (exp x)))
3.0b	(- (- (exp x) 2.0) (/ -1 (exp x)))
4.1b	(fma (- (exp (fma 2 x x)) (* (* 2.0 2.0) 2.0)) (exp x) (* (fma (exp x) (exp x) (* 2.0 (+ 2.0 (exp x)))) 1))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

180×	`add-sqr-sqrt` `*-un-lft-identity`
148×	`prod-diff`
114×	`add-cube-cbrt`
92×	`times-frac`
34×	`distribute-lft-out--`
32×	`difference-of-squares`
22×	`associate--l+`
14×	`add-log-exp`
10×	`fma-neg` `div-inv`
6×	`diff-log`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `frac-sub` `log1p-expm1-u` `flip--`
2×	`associate--l-` `cbrt-div` `associate-*l/`
1×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+` `fma-udef`

Counts

4 → 229

Calls

4 calls:

26.0ms	(cbrt (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (exp x)))
64.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))
79.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))
1.0ms	(fma (- (exp (fma 2 x x)) (* (* 2.0 2.0) 2.0)) (exp x) (* (fma (exp x) (exp x) (* 2.0 (+ 2.0 (exp x)))) 1))

series623.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt (* (+ (* (exp x) (exp x)) (+ (* 2.0 2.0) (* (exp x) 2.0))) (exp x)))
62.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))
91.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))
210.0ms	(fma (- (exp (fma 2 x x)) (* (* 2.0 2.0) 2.0)) (exp x) (* (fma (exp x) (exp x) (* 2.0 (+ 2.0 (exp x)))) 1))

simplify2.3s

Counts

241 → 241

Iterations

Iter	Nodes
done	5000
2	3488
1	784
0	308

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample5.5s

Algorithm

intervals

Results

4.1s	5675×	body	1280	valid
451.0ms	8231×	body	80	valid
335.0ms	1211×	body	640	valid
112.0ms	640×	body	320	valid
35.0ms	300×	body	160	valid