Details

analyze329.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample48.0ms

Algorithm

intervals

Results

13.0ms	187×	body	80	valid
11.0ms	30×	body	640	valid
6.0ms	7×	body	1280	valid
5.0ms	21×	body	320	valid
2.0ms	11×	body	160	valid
0.0ms	5×	body	80	nan

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5210	17

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 6.7b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
6.4b	(log (- 1.0 y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-+l+` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

14.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
9.0ms	(* (- z 1.0) (log (- 1.0 y)))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series43.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
6.0ms	(* (- z 1.0) (log (- 1.0 y)))
9.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5053	1652

prune229.0ms

Filtered

92 candidates to 121 candidates (-31.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	112	9	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	9	122

Merged error: 0.0b

Counts

122 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
0.0b	(* (* y (/ y (* 1.0 1.0))) -1/2)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
0.1b	(* (- x 1.0) (log y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

25×	`associate-*l/`
22×	`add-exp-log` `add-cbrt-cube`
21×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`flip3--` `flip--`
16×	`frac-add`
15×	`pow1`
13×	`add-cube-cbrt`
12×	`frac-times` `log-prod` `associate-r`
11×	`associate-l`
10×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-*r/`
6×	`associate-+l+` `add-log-exp`
5×	`pow-prod-down`
3×	`*-commutative`
2×	`cbrt-undiv` `associate-+r+` `div-exp` `log-pow` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

4 → 119

Calls

4 calls:

15.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
8.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
10.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
7.0ms	(* (- x 1.0) (log y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
35.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
9.0ms	(* (- x 1.0) (log y))

simplify48.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5025	3613

prune342.0ms

Filtered

99 candidates to 131 candidates (-32.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	131	9	140

Merged error: 0.0b

Counts

140 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))) (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))))
0.5b	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
0.5b	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
0.5b	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

838×	`associate-*l/`
738×	`cbrt-div`
656×	`frac-add`
652×	`frac-times`
574×	`flip3--` `flip--`
287×	`flip3-+` `flip-+`
182×	`associate-*r/`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 487

Calls

4 calls:

30.0ms	(* (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))) (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))))
9.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
9.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
10.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))

series1.8s

Counts

4 → 12

Calls

4 calls:

533.0ms	(* (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))) (cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0)))))))
403.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
490.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
406.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))

simplify394.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5084	77302

prune9.7s

Filtered

314 candidates to 499 candidates (-58.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	498	1	499
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	498	10	508

Merged error: 0.0b

Counts

508 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
0.5b	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
0.5b	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
0.5b	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

80×	`associate-*l/`
72×	`cbrt-div`
64×	`frac-add`
56×	`flip3--` `flip--`
32×	`frac-times`
28×	`flip3-+` `flip-+`
16×	`associate-*r/`
12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 116

Calls

4 calls:

9.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
9.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
9.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
10.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))

series1.7s

Counts

4 → 12

Calls

4 calls:

401.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
428.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
408.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))
436.0ms	(cbrt (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (* y (- (* (/ y (* 1.0 1.0)) -1/2) 1.0))))))

simplify100.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5037	9584

prune2.4s

Filtered

124 candidates to 128 candidates (-3.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	128	10	138

Merged error: 0.0b

Counts

138 → 10

regimes564.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	29
1	66	29

end0.0ms

sample1.3s

Algorithm

intervals

Results

400.0ms	5834×	body	80	valid
284.0ms	785×	body	640	valid
181.0ms	256×	body	1280	valid
163.0ms	703×	body	320	valid
62.0ms	422×	body	160	valid
18.0ms	254×	body	80	nan
2.0ms	25×	body	80	invalid

Details

analyze329.0ms

sample48.0ms

simplify102.0ms

prune8.0ms

localize12.0ms

rewrite37.0ms

series43.0ms

simplify43.0ms

prune229.0ms

localize18.0ms

rewrite45.0ms

series59.0ms

simplify48.0ms

prune342.0ms

localize22.0ms

rewrite156.0ms

series1.8s

simplify394.0ms

prune9.7s

localize27.0ms

rewrite46.0ms

series1.7s

simplify100.0ms

prune2.4s

regimes564.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling