Details

sample116.0ms

Algorithm

intervals

Results

37.0ms	47×	body	1280	valid
24.0ms	55×	body	640	valid
12.0ms	148×	body	80	valid
9.0ms	29×	body	320	valid
6.0ms	103×	body	80	nan
3.0ms	16×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	51	9
4	150	9
5	501	9
6	2070	9
done	5000	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* x (log (/ x (+ x y))))) x)
0.0b	(exp (* x (log (/ x (+ x y)))))
0.1b	(* x (log (/ x (+ x y))))
9.2b	(log (/ x (+ x y)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

273×	`times-frac`
234×	`log-prod`
232×	`*-un-lft-identity`
180×	`exp-sum`
156×	`add-sqr-sqrt`
154×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
39×	`distribute-lft-out` `associate-/l*`
26×	`associate-/r/`
14×	`div-inv`
13×	`flip3-+` `flip-+`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`associate-l` `associate-/r*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 309

Calls

4 calls:

58.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
23.0ms	(exp (* x (log (/ x (+ x y)))))
21.0ms	(* x (log (/ x (+ x y))))
7.0ms	(log (/ x (+ x y)))

series671.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
308.0ms	(exp (* x (log (/ x (+ x y)))))
100.0ms	(* x (log (/ x (+ x y))))
73.0ms	(log (/ x (+ x y)))

simplify2.2s

Counts

321 → 321

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	480	6233
1	909	5589
2	3235	4998
done	5001	4996

prune838.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp x) (log (/ x (+ x y)))) x)
0.0b	(/ x (+ x y))
0.3b	(pow (exp x) (log (/ x (+ x y))))
9.2b	(log (/ x (+ x y)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
142×	`*-un-lft-identity`
108×	`log-prod`
98×	`add-sqr-sqrt` `add-cube-cbrt`
90×	`unpow-prod-up`
28×	`associate-/l*`
22×	`distribute-lft-out`
15×	`unpow-prod-down`
14×	`associate-/r/`
13×	`add-exp-log`
8×	`add-cbrt-cube` `div-inv`
7×	`pow1` `flip3-+` `associate-/r*` `flip-+`
5×	`div-exp` `sqr-pow`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `exp-prod`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `rem-log-exp` `pow-exp` `clear-num` `log-pow` `pow-sub`
1×	`associate-/l/`

Counts

4 → 228

Calls

4 calls:

59.0ms	(/ (pow (exp x) (log (/ x (+ x y)))) x)
11.0ms	(/ x (+ x y))
11.0ms	(pow (exp x) (log (/ x (+ x y))))
7.0ms	(log (/ x (+ x y)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(/ (pow (exp x) (log (/ x (+ x y)))) x)
59.0ms	(/ x (+ x y))
191.0ms	(pow (exp x) (log (/ x (+ x y))))
66.0ms	(log (/ x (+ x y)))

simplify2.3s

Counts

240 → 240

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	339	4127
1	748	3878
2	3265	3744
done	5000	3742

prune926.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
1.1b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
5.2b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
51×	`*-un-lft-identity`
48×	`unpow-prod-down`
43×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
13×	`log-prod`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
6×	`pow1`
5×	`div-exp` `rem-log-exp`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `associate-r/` `associate-l/` `pow-exp` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 126

Calls

4 calls:

8.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
19.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
21.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

series777.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (+ x y))
140.0ms	(cbrt (+ x y))
334.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
126.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

simplify1.5s

Counts

138 → 138

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	286	2323
1	840	2187
2	2634	1993
done	5002	1977

prune804.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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` `expm1-log1p-u` `frac-2neg` `exp-diff` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

23.0ms

(/ (exp (- y)) x)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(/ (exp (- y)) x)

simplify2.8s

Counts

34 → 34

Iterations

Useful iterations: 3 (652.0ms)

Iter	Nodes	Cost
0	66	311
1	128	300
2	473	282
3	3443	278
done	5001	278

prune94.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes123.0ms

Accuracy

95.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.9b

bsearch118.0ms

Steps

Iters	Range		Point
8	7.329791909597432e-11	2.3700091904683387e-07	2.3427008122301183e-07
9	-4159660869929146.0	-4282433023.162024	-27740047836885.016

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	29
1	21	25
done	21	25

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.1s	1528×	body	1280	valid
930.0ms	4866×	body	80	valid
595.0ms	1423×	body	640	valid
328.0ms	2969×	body	80	nan
271.0ms	824×	body	320	valid
164.0ms	467×	body	160	valid