Details

sample66.0ms

Algorithm

intervals

Results

19.0ms	39×	body	1280	valid
13.0ms	45×	body	640	valid
9.0ms	174×	body	80	valid
4.0ms	24×	body	320	valid
4.0ms	100×	body	80	nan
1.0ms	11×	body	160	valid

simplify2.1s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize22.0ms

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)))

rewrite178.0ms

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:

82.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
17.0ms	(/ x (+ x y))
41.0ms	(* x (log (/ x (+ x y))))
14.0ms	(log (/ x (+ x y)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
80.0ms	(/ x (+ x y))
136.0ms	(* x (log (/ x (+ x y))))
90.0ms	(log (/ x (+ x y)))

simplify3.5s

Counts

300 → 300

Iterations

Useful iterations: done (3.5s)

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

prune884.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))))

rewrite37.0ms

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)
16.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
11.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series804.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt x)
298.0ms	(cbrt x)
99.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
127.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify2.5s

Counts

152 → 152

Iterations

Useful iterations: done (2.5s)

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

prune805.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

13.0ms

(/ (exp (- y)) x)

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (exp (- y)) x)

simplify3.1s

Counts

32 → 32

Iterations

Useful iterations: 3 (231.0ms)

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

prune94.0ms

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))

rewrite70.0ms

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` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

68.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify5.5s

Counts

43 → 43

Iterations

Useful iterations: 3 (732.0ms)

Iter	Nodes	Cost
0	92	421
1	205	323
2	502	276
3	1172	274
4	3862	274
done	5000	274

prune100.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes80.0ms

Accuracy

97.6% (0.1b remaining)

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

bsearch122.0ms

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	23	44
1	31	40
done	31	40

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	1505×	body	1280	valid
827.0ms	4912×	body	80	valid
600.0ms	1448×	body	640	valid
306.0ms	801×	body	320	valid
209.0ms	2957×	body	80	nan
75.0ms	461×	body	160	valid