Details

sample60.0ms

Algorithm

intervals

Results

19.0ms	48×	body	1280	valid
11.0ms	45×	body	640	valid
7.0ms	157×	body	80	valid
5.0ms	87×	body	80	nan
4.0ms	27×	body	320	valid
1.0ms	12×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	49	9
4	105	9
5	241	9
6	578	9
7	1854	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* x (log (/ x (+ x y))))) x)
0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
8.6b	(log (/ x (+ x y)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`associate-r` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `clear-num` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 288

Calls

4 calls:

54.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
14.0ms	(/ x (+ x y))
20.0ms	(* x (log (/ x (+ x y))))
6.0ms	(log (/ x (+ x y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
47.0ms	(/ x (+ x y))
86.0ms	(* x (log (/ x (+ x y))))
50.0ms	(log (/ x (+ x y)))

simplify2.1s

Counts

300 → 300

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	470	5564
1	821	4720
2	1642	4540
3	4790	4449
done	5001	4421

prune536.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.2b	(log (/ (cbrt x) (cbrt (+ x y))))
2.2b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series530.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt x)
185.0ms	(cbrt x)
80.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
77.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify1.5s

Counts

152 → 152

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	173	2258
1	314	2100
2	563	2014
3	1074	1940
4	2377	1936
done	5000	1924

prune481.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (pow (/ x (+ x y)) x) x))
6.3b	(pow (/ x (+ x y)) x)
6.3b	(pow (/ x (+ x y)) x)
6.3b	(pow (/ x (+ x y)) x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
117×	`*-un-lft-identity`
108×	`unpow-prod-down`
81×	`add-sqr-sqrt` `add-cube-cbrt`
70×	`cbrt-prod`
18×	`distribute-lft-out`
13×	`add-exp-log`
12×	`associate-/r/`
9×	`pow-unpow`
7×	`pow1` `div-inv`
6×	`flip3-+` `pow-exp` `flip-+` `sqr-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 178

Calls

4 calls:

16.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
13.0ms	(pow (/ x (+ x y)) x)
15.0ms	(pow (/ x (+ x y)) x)
13.0ms	(pow (/ x (+ x y)) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

382.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
235.0ms	(pow (/ x (+ x y)) x)
237.0ms	(pow (/ x (+ x y)) x)
237.0ms	(pow (/ x (+ x y)) x)

simplify2.2s

Counts

190 → 190

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	370	3502
1	623	3291
2	1496	3238
3	4717	3222
done	5000	3221

prune575.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (- y)) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`pow1` `cbrt-undiv` `neg-sub0` `exp-neg` `frac-2neg` `exp-diff` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

12.0ms

(/ (exp (- y)) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ (exp (- y)) x)

simplify1.9s

Counts

32 → 32

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	64	299
1	117	289
2	281	269
3	680	267
4	2766	267
done	5001	267

prune57.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

99.6% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 5.6b

bsearch82.0ms

Steps

Iters	Range		Point
9	0.42516650355589636	1126179.5725289274	19.70965259845291
8	-1.8158865307478539e+22	-1.8184064390051942e+18	-6.825213862164115e+18

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	46
1	34	40
done	34	40

end0.0ms

sample1.8s

Algorithm

intervals

Results

642.0ms	1547×	body	1280	valid
354.0ms	1499×	body	640	valid
202.0ms	4832×	body	80	valid
125.0ms	807×	body	320	valid
83.0ms	2985×	body	80	nan
47.0ms	456×	body	160	valid