Details

sample44.0ms

Algorithm

intervals

Results

9.0ms	186×	body	80	valid
8.0ms	33×	body	1280	valid
4.0ms	22×	body	640	valid
3.0ms	96×	body	80	nan
2.0ms	14×	body	640	nan
1.0ms	8×	body	1280	nan
1.0ms	11×	body	320	valid
0.0ms	4×	body	320	nan
0.0ms	4×	body	160	valid
0.0ms	3×	body	160	nan

simplify139.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	19	12
2	29	12
3	41	12
4	54	12
5	62	12
6	70	12
7	85	12
8	103	12
9	116	12
done	116	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
6.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

192×	`add-sqr-sqrt`
184×	`*-un-lft-identity`
105×	`prod-diff`
103×	`times-frac`
91×	`add-cube-cbrt`
49×	`difference-of-squares`
47×	`distribute-lft-out--`
12×	`log-prod`
9×	`pow1` `flip3--` `flip--`
8×	`associate-/r/`
7×	`add-exp-log` `add-log-exp`
6×	`fma-neg` `add-cbrt-cube` `associate--r+`
5×	`associate-/r` `log-pow` `associate-/l`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `div-inv`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num`

Counts

4 → 227

Calls

4 calls:

60.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
43.0ms	(/ (- x y) (- 1.0 y))
48.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
65.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
52.0ms	(/ (- x y) (- 1.0 y))
76.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
99.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.9s

Counts

239 → 239

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	390	8619
1	978	7647
2	2696	5742
done	5000	4742

prune589.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.7b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
6.0b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`times-frac`
27×	`add-cube-cbrt`
21×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-l` `associate-/r*`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`log-prod` `fma-neg` `prod-diff` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `log-div` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `log-pow` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 131

Calls

4 calls:

19.0ms	(/ 1 (- 1.0 y))
78.0ms	(* (- x y) (/ 1 (- 1.0 y)))
10.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
8.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- 1.0 y))
49.0ms	(* (- x y) (/ 1 (- 1.0 y)))
76.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
127.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify3.4s

Counts

143 → 143

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	222	1969
1	514	1593
2	1439	1442
3	4776	1410
done	5000	1410

prune446.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
0.2b	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
6.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

154×	`add-sqr-sqrt`
152×	`*-un-lft-identity`
93×	`prod-diff`
77×	`times-frac`
76×	`add-cube-cbrt`
40×	`distribute-lft-out--`
38×	`difference-of-squares`
18×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1`
7×	`flip3--` `flip--`
6×	`add-exp-log` `log-prod` `associate-/r/` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-neg` `div-inv`
2×	`cube-mult` `log-div` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `div-sub` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `associate--r-` `rem-cube-cbrt`

Counts

4 → 197

Calls

4 calls:

11.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
12.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
55.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
69.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3))
740.0ms	(pow (- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y))))) 3)
68.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
134.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.7s

Counts

209 → 209

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	513	8628
1	1399	7743
2	4349	5917
done	5000	5909

prune685.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

226×	`add-sqr-sqrt`
202×	`*-un-lft-identity`
144×	`times-frac`
102×	`add-cube-cbrt`
93×	`prod-diff`
58×	`difference-of-squares`
50×	`distribute-lft-out--`
24×	`log-prod`
12×	`associate-/r/`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`flip3--` `add-cbrt-cube` `flip--` `associate-/l*`
6×	`div-inv` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `div-exp`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `log-div` `diff-log` `log-pow` `associate--r-`

Counts

4 → 248

Calls

4 calls:

43.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
28.0ms	(/ (- x y) (- 1.0 y))
79.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
61.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series574.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
60.0ms	(/ (- x y) (- 1.0 y))
188.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
82.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify2.7s

Counts

260 → 260

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	432	8789
1	1066	8133
2	2916	6364
done	5001	5518

prune737.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes222.0ms

Accuracy

98.6% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 17.8b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	42
1	28	42
done	28	42

end0.0ms

sample2.4s

Algorithm

intervals

Results

723.0ms	835×	body	1280	valid
514.0ms	5699×	body	80	valid
204.0ms	769×	body	640	valid
160.0ms	3664×	body	80	nan
122.0ms	385×	body	640	nan
102.0ms	456×	body	320	valid
92.0ms	371×	body	1280	nan
27.0ms	194×	body	320	nan
26.0ms	241×	body	160	valid
12.0ms	132×	body	160	nan