Details

sample64.0ms

Algorithm

intervals

Results

11.0ms	182×	body	80	valid
9.0ms	31×	body	1280	valid
6.0ms	16×	body	320	valid
5.0ms	22×	body	640	valid
4.0ms	105×	body	80	nan
2.0ms	9×	body	1280	nan
2.0ms	10×	body	640	nan
1.0ms	5×	body	160	valid
0.0ms	2×	body	320	nan
0.0ms	1×	body	160	nan

simplify157.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize13.0ms

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))
1.9b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite281.0ms

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:

72.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
41.0ms	(/ (- x y) (- 1.0 y))
70.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
75.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
47.0ms	(/ (- x y) (- 1.0 y))
59.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
102.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.2s

Counts

239 → 239

Iterations

Useful iterations: done (2.2s)

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

prune554.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cbrt (- 1.0 y)) 3)
0.3b	(pow (cbrt (- 1.0 y)) 3)
4.2b	(log (+ (- 1.0 (/ (- x y) (pow (cbrt (- 1.0 y)) 3))) (+ (/ (- x y) (pow (cbrt (- 1.0 y)) 3)) (- (/ (- x y) (pow (cbrt (- 1.0 y)) 3))))))
13.3b	(- 1.0 (/ (- x y) (pow (cbrt (- 1.0 y)) 3)))

rewrite5.7s

Algorithm

rewrite-expression-head

Rules

497×	`*-un-lft-identity`
495×	`add-sqr-sqrt`
348×	`prod-diff`
336×	`times-frac`
276×	`add-cube-cbrt`
172×	`cbrt-prod`
138×	`unpow-prod-down` `cube-prod`
107×	`difference-of-squares`
104×	`distribute-lft-out--`
18×	`sqr-pow`
17×	`cube-mult` `unpow3`
10×	`cube-div` `cbrt-div` `distribute-lft-out`
9×	`log-prod` `flip3--` `flip--`
8×	`log-div` `frac-add`
7×	`pow1` `add-exp-log`
6×	`pow-unpow` `associate-/r/` `add-log-exp`
4×	`expm1-log1p-u` `pow-pow` `add-cbrt-cube` `log1p-expm1-u`
3×	`flip3-+` `fma-neg` `flip-+` `div-inv`
2×	`pow-to-exp` `distribute-rgt-neg-in` `pow1/3` `pow-exp` `distribute-neg-frac` `rem-cube-cbrt`
1×	`sub-neg` `diff-log` `div-sub` `rem-log-exp` `log-pow` `associate--r-`

Counts

4 → 478

Calls

4 calls:

276.0ms	(pow (cbrt (- 1.0 y)) 3)
10.0ms	(pow (cbrt (- 1.0 y)) 3)
5.2s	(log (+ (- 1.0 (/ (- x y) (pow (cbrt (- 1.0 y)) 3))) (+ (/ (- x y) (pow (cbrt (- 1.0 y)) 3)) (- (/ (- x y) (pow (cbrt (- 1.0 y)) 3))))))
159.0ms	(- 1.0 (/ (- x y) (pow (cbrt (- 1.0 y)) 3)))

series957.0ms

Counts

4 → 12

Calls

4 calls:

361.0ms	(pow (cbrt (- 1.0 y)) 3)
395.0ms	(pow (cbrt (- 1.0 y)) 3)
109.0ms	(log (+ (- 1.0 (/ (- x y) (pow (cbrt (- 1.0 y)) 3))) (+ (/ (- x y) (pow (cbrt (- 1.0 y)) 3)) (- (/ (- x y) (pow (cbrt (- 1.0 y)) 3))))))
92.0ms	(- 1.0 (/ (- x y) (pow (cbrt (- 1.0 y)) 3)))

simplify982.0ms

Counts

490 → 490

Iterations

Useful iterations: done (948.0ms)

Iter	Nodes	Cost
0	735	32234
1	1775	24819
done	5000	13229

prune664.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b	(- 1.0 (/ (- x y) (- 1.0 y)))
1.9b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

276×	`add-sqr-sqrt`
264×	`*-un-lft-identity`
186×	`prod-diff`
154×	`times-frac`
136×	`add-cube-cbrt`
68×	`difference-of-squares`
64×	`distribute-lft-out--`
12×	`log-prod` `associate-/r/`
10×	`flip3--` `flip--`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `fma-neg` `div-inv`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `div-sub` `rem-log-exp` `log-pow` `associate--r-`

Counts

4 → 266

Calls

4 calls:

89.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
56.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
90.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
66.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
69.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
124.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
114.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.4s

Counts

278 → 278

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	300	13002
1	735	11912
2	1964	8528
done	5000	6840

prune834.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cbrt (- 1.0 y)) 3)
3.4b	(log (+ (- (fma 1.0 (/ x (pow y 2)) (/ x y)) (/ 1.0 y)) (+ (/ (- x y) (pow (cbrt (- 1.0 y)) 3)) (- (/ (- x y) (pow (cbrt (- 1.0 y)) 3))))))
4.8b	(fma 1.0 (/ x (pow y 2)) (/ x y))
7.8b	(/ x (pow y 2))

rewrite5.5s

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
24×	`times-frac`
20×	`unpow-prod-down`
11×	`add-exp-log`
10×	`cbrt-prod` `distribute-lft-out`
9×	`log-prod`
8×	`log-div` `cube-prod` `frac-add` `associate-/r*`
6×	`pow1` `add-cbrt-cube`
5×	`distribute-lft-out--` `sqr-pow`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `unpow2` `add-log-exp`
3×	`pow-unpow` `flip3-+` `div-exp` `flip-+` `associate-/l*`
2×	`cube-div` `pow-to-exp` `cbrt-div` `pow-pow` `distribute-rgt-neg-in` `pow-exp` `distribute-neg-frac` `difference-of-squares`
1×	`cbrt-undiv` `cube-mult` `frac-2neg` `pow1/3` `unpow3` `rem-log-exp` `clear-num` `log-pow` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 127

Calls

4 calls:

10.0ms	(pow (cbrt (- 1.0 y)) 3)
5.4s	(log (+ (- (fma 1.0 (/ x (pow y 2)) (/ x y)) (/ 1.0 y)) (+ (/ (- x y) (pow (cbrt (- 1.0 y)) 3)) (- (/ (- x y) (pow (cbrt (- 1.0 y)) 3))))))
1.0ms	(fma 1.0 (/ x (pow y 2)) (/ x y))
14.0ms	(/ x (pow y 2))

series563.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(pow (cbrt (- 1.0 y)) 3)
125.0ms	(log (+ (- (fma 1.0 (/ x (pow y 2)) (/ x y)) (/ 1.0 y)) (+ (/ (- x y) (pow (cbrt (- 1.0 y)) 3)) (- (/ (- x y) (pow (cbrt (- 1.0 y)) 3))))))
61.0ms	(fma 1.0 (/ x (pow y 2)) (/ x y))
34.0ms	(/ x (pow y 2))

simplify1.8s

Counts

139 → 139

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	319	3655
1	812	2913
2	2860	2210
done	5000	2206

prune710.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

98.1% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 16.8b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	88
1	34	88
done	34	88

end0.0ms

sample1.7s

Algorithm

intervals

Results

338.0ms	5692×	body	80	valid
242.0ms	799×	body	1280	valid
173.0ms	800×	body	640	valid
151.0ms	3735×	body	80	nan
85.0ms	364×	body	1280	nan
70.0ms	402×	body	640	nan
69.0ms	442×	body	320	valid
32.0ms	220×	body	320	nan
27.0ms	267×	body	160	valid
10.0ms	120×	body	160	nan