Details

analyze538.0ms

Algorithm: search

sample42.0ms

Algorithm

intervals

Results

9.0ms	184×	body	80	valid
6.0ms	23×	body	1280	valid
5.0ms	36×	body	640	nan
4.0ms	23×	body	1280	nan
4.0ms	23×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	10×	body	320	nan
1.0ms	9×	body	160	valid
1.0ms	16×	body	80	nan
0.0ms	6×	body	160	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	29	6
2	41	6
3	60	6
4	78	6
5	94	6
6	109	6
7	139	6
8	214	6
9	279	6
10	279	6

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 17.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
2.8b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
27×	`times-frac`
16×	`add-cube-cbrt` `difference-of-squares`
14×	`distribute-lft-out--`
6×	`add-exp-log` `log-prod`
5×	`associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
2×	`log-div` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `log-pow` `div-inv` `associate--r-`

Counts

3 → 85

Calls

3 calls:

8.0ms	(/ (- x y) (- 1.0 y))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series27.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- x y) (- 1.0 y))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify38.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	404	711
1	1152	666
2	5001	659

prune163.0ms

Filtered

69 candidates to 94 candidates (-36.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	5	95

Merged error: 0.1b

Counts

95 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.6b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
5.0b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac`
25×	`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×	`div-exp` `prod-exp` `associate-/r/`
3×	`log-prod` `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 → 117

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 y))
22.0ms	(* (- x y) (/ 1 (- 1.0 y)))
4.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
6.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (- 1.0 y))
6.0ms	(* (- x y) (/ 1 (- 1.0 y)))
12.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
9.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify58.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	487	840
1	2073	735
2	5001	686

prune153.0ms

Filtered

81 candidates to 129 candidates (-59.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	129	5	134

Merged error: 0.1b

Counts

134 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3))
0.2b	(pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3)
2.8b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.6b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`cbrt-prod`
11×	`add-cube-cbrt`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log` `log-prod` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
4×	`difference-of-squares`
3×	`pow-unpow`
2×	`cube-mult` `log-div` `flip3--` `times-frac` `unpow3` `flip--` `distribute-lft-out--` `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 → 81

Calls

4 calls:

3.0ms	(cbrt (pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3))
3.0ms	(pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3)
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3))
56.0ms	(pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3)
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
16.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify83.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	728	1086
1	2804	1014
2	5002	999

prune168.0ms

Filtered

59 candidates to 93 candidates (-57.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	94	4	98

Merged error: 0.1b

Counts

98 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ (- x y) (- 1.0 y)) 3)
2.7b	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
3.6b	(log (/ (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)) (+ (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)) (* 1.0 1.0))))
9.5b	(/ (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)) (+ (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)) (* 1.0 1.0)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

510×	`add-sqr-sqrt`
312×	`times-frac`
222×	`*-un-lft-identity`
212×	`difference-of-squares`
175×	`unpow-prod-down` `cube-prod`
105×	`log-prod`
102×	`add-cube-cbrt`
81×	`sqr-pow`
60×	`distribute-lft-out--`
33×	`associate-/l*`
12×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`difference-cubes` `associate-/r/`
6×	`pow1` `add-log-exp`
4×	`flip3--` `flip--` `div-inv`
3×	`pow-unpow` `div-exp` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `rem-log-exp` `pow-exp` `flip-+` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `sub-neg` `log-div` `pow-pow` `frac-2neg` `diff-log` `unpow3` `div-sub` `clear-num` `log-pow`

Counts

4 → 392

Calls

4 calls:

11.0ms	(pow (/ (- x y) (- 1.0 y)) 3)
46.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
75.0ms	(log (/ (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)) (+ (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)) (* 1.0 1.0))))
74.0ms	(/ (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)) (+ (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)) (* 1.0 1.0)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(pow (/ (- x y) (- 1.0 y)) 3)
52.0ms	(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
83.0ms	(log (/ (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)) (+ (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)) (* 1.0 1.0))))
68.0ms	(/ (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)) (+ (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)) (* 1.0 1.0)))

simplify126.0ms

Algorithm

egg-herbie

Counts

404 → 404

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1366	10611
1	5001	10375

prune1.0s

Filtered

205 candidates to 404 candidates (-97.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	402	2	404
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	403	5	408

Merged error: 0.1b

Counts

408 → 5

regimes261.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 17.5b

bsearch89.0ms

Steps

Iters	Range		Point
10	0.12622383330297154	1149424014321622.8	124448046.20482898
8	-5001798501028066.0	-3165752807432.015	-3211584423502.2695

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

analyze677.0ms

Algorithm: search

sample1.2s

Algorithm

intervals

Results

273.0ms	5740×	body	80	valid
200.0ms	807×	body	1280	valid
139.0ms	794×	body	640	valid
131.0ms	722×	body	1280	nan
111.0ms	768×	body	640	nan
54.0ms	435×	body	320	valid
46.0ms	428×	body	320	nan
19.0ms	224×	body	160	valid
16.0ms	220×	body	160	nan
14.0ms	385×	body	80	nan

Details

analyze538.0ms

sample42.0ms

simplify16.0ms

prune3.0ms

localize8.0ms

rewrite39.0ms

series27.0ms

simplify38.0ms

prune163.0ms

localize11.0ms

rewrite41.0ms

series28.0ms

simplify58.0ms

prune153.0ms

localize11.0ms

rewrite33.0ms

series95.0ms

simplify83.0ms

prune168.0ms

localize17.0ms

rewrite237.0ms

series217.0ms

simplify126.0ms

prune1.0s

regimes261.0ms

bsearch89.0ms

simplify2.0ms

end0.0ms

analyze677.0ms

sample1.2s

Profiling