Details

sample91.0ms

Algorithm

intervals

Results

27.0ms	39×	body	1280	valid
19.0ms	45×	body	640	valid
12.0ms	174×	body	80	valid
6.0ms	100×	body	80	nan
5.0ms	24×	body	320	valid
2.0ms	11×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	49	9
4	107	9
5	245	9
6	580	9
7	1850	9
done	5000	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize11.0ms

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))))
8.8b	(log (/ x (+ x y)))

rewrite190.0ms

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×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `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 → 296

Calls

4 calls:

86.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
21.0ms	(/ x (+ x y))
40.0ms	(* x (log (/ x (+ x y))))
7.0ms	(log (/ x (+ x y)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
51.0ms	(/ x (+ x y))
120.0ms	(* x (log (/ x (+ x y))))
75.0ms	(log (/ x (+ x y)))

simplify3.1s

Counts

308 → 308

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	478	5632
1	835	4771
2	1686	4591
3	4961	4500
done	5000	4500

prune764.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
3.7b	(log (/ (cbrt x) (cbrt (+ x y))))
3.7b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite29.0ms

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×	`expm1-log1p-u` `cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 148

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))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt x)
250.0ms	(cbrt x)
81.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
89.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify2.1s

Counts

160 → 160

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	177	2306
1	321	2146
2	578	2060
3	1115	1986
4	2482	1982
done	5000	1976

prune806.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

18.0ms

(/ (exp (- y)) x)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(/ (exp (- y)) x)

simplify2.7s

Counts

34 → 34

Iterations

Useful iterations: 3 (185.0ms)

Iter	Nodes	Cost
0	66	311
1	120	300
2	293	280
3	709	278
4	2815	278
done	5002	278

prune113.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp (- y)) (/ 1 x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`neg-sub0` `exp-neg` `frac-times` `exp-diff` `div-exp` `associate-*l/` `cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 42

Calls

1 calls:

53.0ms

(* (exp (- y)) (/ 1 x))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp (- y)) (/ 1 x))

simplify5.1s

Counts

45 → 45

Iterations

Useful iterations: 3 (614.0ms)

Iter	Nodes	Cost
0	94	437
1	208	334
2	520	287
3	1220	285
4	3951	285
done	5001	285

prune116.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

97.6% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 6.1b

bsearch111.0ms

Steps

Iters	Range		Point
8	9.590197982092231e-08	0.0030847216915828425	0.0030276141122531335
8	-9.267496942578666e+30	-1.5220095616201542e+26	-1.0594210996052848e+28

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	22	42
1	29	38
done	29	38

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.3s	1505×	body	1280	valid
1.2s	1448×	body	640	valid
506.0ms	4912×	body	80	valid
280.0ms	801×	body	320	valid
175.0ms	2957×	body	80	nan
133.0ms	461×	body	160	valid