Details

sample135.0ms

Algorithm

intervals

Results

73.0ms	118×	body	1280	valid
22.0ms	70×	body	640	valid
11.0ms	267×	body	80	nan
8.0ms	46×	body	320	valid
2.0ms	17×	body	160	valid
0.0ms	5×	body	80	valid

simplify159.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	65	12
5	96	12
6	122	12
7	143	12
8	151	12
done	151	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

30.0ms	(/ (+ 1.0 x) (- 1.0 x))
19.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series220.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ 1.0 x) (- 1.0 x))
183.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify898.0ms

Counts

92 → 92

Iterations

Useful iterations: done (894.0ms)

Iter	Nodes	Cost
0	146	1310
1	345	1243
2	1355	1184
done	5001	1165

prune306.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune11.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
0.0b	(exp (/ (+ 1.0 x) (- 1.0 x)))
0.0b	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
6.1b	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
80×	`times-frac`
78×	`exp-prod`
55×	`log-pow`
47×	`add-cube-cbrt`
33×	`log-prod`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*`
2×	`rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

4 → 164

Calls

4 calls:

48.0ms	(/ (+ 1.0 x) (- 1.0 x))
69.0ms	(exp (/ (+ 1.0 x) (- 1.0 x)))
50.0ms	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
47.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

series405.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (+ 1.0 x) (- 1.0 x))
116.0ms	(exp (/ (+ 1.0 x) (- 1.0 x)))
36.0ms	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
205.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

simplify1.2s

Counts

176 → 176

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	226	2384
1	450	2099
2	1636	1986
done	5002	1952

prune515.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- 1.0 x))
0.0b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
5.8b	(log (/ (sqrt (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))))
5.8b	(log (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
81×	`log-prod`
79×	`add-sqr-sqrt`
68×	`cbrt-prod`
63×	`times-frac`
47×	`add-cube-cbrt`
36×	`sqrt-prod`
28×	`cbrt-div`
15×	`add-exp-log`
14×	`flip3--` `flip--` `distribute-lft-out--`
13×	`pow1`
12×	`difference-of-squares`
10×	`swap-sqr` `associate-/r/`
9×	`distribute-lft-out`
8×	`frac-times` `associate-r` `associate-l`
7×	`pow1/3`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`div-exp`
2×	`log-div` `pow-prod-down` `prod-exp` `pow-sqr` `log-pow` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Counts

4 → 183

Calls

4 calls:

8.0ms	(cbrt (- 1.0 x))
83.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
23.0ms	(log (/ (sqrt (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))))
23.0ms	(log (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))))

series1.4s

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (- 1.0 x))
163.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
580.0ms	(log (/ (sqrt (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))))
526.0ms	(log (/ (sqrt (+ 1.0 x)) (cbrt (- 1.0 x))))

simplify1.7s

Counts

195 → 195

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	412	3833
1	945	3467
2	3214	3278
done	5000	3147

prune801.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes28.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	15	22
done	15	22

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.1s	3344×	body	1280	valid
1.1s	2492×	body	640	valid
684.0ms	8113×	body	80	nan
325.0ms	1284×	body	320	valid
148.0ms	652×	body	160	valid
16.0ms	228×	body	80	valid