Details

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.356323%

Guaranteed chance to sample good point: 51.687661%

Results

9.0ms	183×	body	80	valid
6.0ms	25×	body	1280	valid
4.0ms	23×	body	640	valid
3.0ms	26×	body	640	nan
3.0ms	15×	body	1280	nan
2.0ms	14×	body	320	valid
1.0ms	13×	body	320	nan
1.0ms	13×	body	160	nan
1.0ms	11×	body	160	valid
0.0ms	10×	body	80	nan

simplify17.0ms

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: 18.0b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b	(/ (- x y) (- 1.0 y))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.0b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 108

Calls

4 calls:

15.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
7.0ms	(/ (- x y) (- 1.0 y))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series43.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0ms	(/ (- x y) (- 1.0 y))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	495	950
1	1433	898
2	5002	876

prune202.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Merged error: 0.0b

Counts

121 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b	(/ (- x y) (- 1.0 y))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`times-frac`
37×	`add-cube-cbrt`
28×	`difference-of-squares`
24×	`log-prod`
20×	`distribute-lft-out--`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3--` `flip--`
3×	`div-exp` `div-inv`
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 → 144

Calls

4 calls:

15.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
8.0ms	(/ (- x y) (- 1.0 y))
18.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
13.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
6.0ms	(/ (- x y) (- 1.0 y))
16.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
9.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	621	1546
1	1974	1467
2	5001	1448

prune271.0ms

Filtered

118 candidates to 156 candidates (-32.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	155	5	160

Merged error: 0b

Counts

160 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
0.1b	(/ (- x y) (sqrt (- 1.0 y)))
4.0b	(log (- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))))
7.5b	(- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

788×	`times-frac`
697×	`add-sqr-sqrt`
653×	`*-un-lft-identity`
500×	`sqrt-prod`
291×	`add-cube-cbrt`
193×	`difference-of-squares`
181×	`distribute-lft-out--`
51×	`associate-/l*`
22×	`sqrt-div` `associate-/r/`
16×	`associate-/r*`
14×	`flip3--` `flip--`
12×	`add-exp-log`
11×	`log-prod` `add-cbrt-cube` `div-inv`
6×	`add-log-exp`
5×	`pow1` `div-sub`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/l/`
2×	`log-div` `frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow` `associate--r-`

Counts

4 → 553

Calls

4 calls:

23.0ms	(/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
9.0ms	(/ (- x y) (sqrt (- 1.0 y)))
92.0ms	(log (- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))))
91.0ms	(- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
10.0ms	(/ (- x y) (sqrt (- 1.0 y)))
12.0ms	(log (- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))))
9.0ms	(- 1.0 (/ (/ (- x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

simplify150.0ms

Algorithm

egg-herbie

Counts

565 → 565

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	1299	8607
1	4742	7738
2	5003	7720

prune628.0ms

Filtered

210 candidates to 565 candidates (-169.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	565	0	565
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	565	5	570

Merged error: 0b

Counts

570 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
0.0b	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
0.4b	(* (* 1.0 (exp 1.0)) (- x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in`
3×	`log-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-div` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `flip3--` `rem-log-exp` `associate-l` `sum-log` `log-pow` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 55

Calls

3 calls:

9.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
11.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
8.0ms	(* (* 1.0 (exp 1.0)) (- x y))

series35.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0)))
16.0ms	(log (+ (* (* 1.0 (exp 1.0)) (- x y)) (* 1.0 (exp 1.0))))
10.0ms	(* (* 1.0 (exp 1.0)) (- x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	326	591
1	1456	505
2	5002	464

prune94.0ms

Filtered

43 candidates to 64 candidates (-48.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 0b

Counts

69 → 5

regimes232.0ms

Accuracy

99.2% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 18.4b

bsearch76.0ms

Steps

Iters	Range		Point
10	0.0034872975134358857	1870224278340767.2	0.9893167687583282
10	-9.395777236043229e+16	-508.4383506229125	-123869466.98448466

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	19
1	35	19

end0.0ms

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 18.356323%

Guaranteed chance to sample good point: 51.687661%

Results

279.0ms	5687×	body	80	valid
200.0ms	823×	body	1280	valid
135.0ms	789×	body	640	valid
123.0ms	688×	body	1280	nan
103.0ms	750×	body	640	nan
60.0ms	464×	body	320	valid
50.0ms	473×	body	320	nan
20.0ms	237×	body	160	valid
17.0ms	248×	body	160	nan
10.0ms	272×	body	80	nan

Details

sample1.9s

simplify17.0ms

prune3.0ms

localize8.0ms

rewrite53.0ms

series43.0ms

simplify46.0ms

prune202.0ms

localize10.0ms

rewrite60.0ms

series53.0ms

simplify57.0ms

prune271.0ms

localize13.0ms

rewrite264.0ms

series37.0ms

simplify150.0ms

prune628.0ms

localize9.0ms

rewrite29.0ms

series35.0ms

simplify50.0ms

prune94.0ms

regimes232.0ms

bsearch76.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling