Details

analyze978.0ms

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample55.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify193.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (192.0ms)

Iter	Nodes	Cost
0	5590	11

prune5.0ms

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: 0.6b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.8b	(* y (/ (- z t) (- a t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
7.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
18.0ms	(* y (/ (- z t) (- a t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune148.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0b

Counts

123 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.8b	(* y (* (- z t) (/ 1 (- a t))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

4.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
5.0ms	(/ 1 (- a t))
13.0ms	(* (- z t) (/ 1 (- a t)))
12.0ms	(* y (* (- z t) (/ 1 (- a t))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
4.0ms	(/ 1 (- a t))
11.0ms	(* (- z t) (/ 1 (- a t)))
15.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify39.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5210	1285

prune141.0ms

Filtered

86 candidates to 142 candidates (-65.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	142	7	149

Merged error: 0b

Counts

149 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
3.3b	(cbrt (/ (- z t) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

20.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
7.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
56.0ms	(cbrt (/ (- z t) (- a t)))
54.0ms	(cbrt (/ (- z t) (- a t)))
58.0ms	(cbrt (/ (- z t) (- a t)))

simplify68.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5322	2380

prune168.0ms

Filtered

108 candidates to 154 candidates (-42.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	154	7	161

Merged error: 0b

Counts

161 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.2b	(pow (/ (- z t) (- a t)) 3)
1.8b	(* y (cbrt (pow (/ (- z t) (- a t)) 3)))
18.2b	(cbrt (pow (/ (- z t) (- a t)) 3))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

246×	`add-sqr-sqrt`
231×	`*-un-lft-identity`
177×	`times-frac`
142×	`cbrt-prod`
95×	`unpow-prod-down` `cube-prod`
87×	`add-cube-cbrt`
72×	`distribute-lft-out--` `difference-of-squares`
71×	`associate-r`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`flip3--` `flip--`
7×	`pow1` `div-inv` `unswap-sqr`
5×	`associate-/r` `associate-/l`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 305

Calls

4 calls:

7.0ms	(/ (- z t) (- a t))
12.0ms	(pow (/ (- z t) (- a t)) 3)
24.0ms	(* y (cbrt (pow (/ (- z t) (- a t)) 3)))
11.0ms	(cbrt (pow (/ (- z t) (- a t)) 3))

series62.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- z t) (- a t))
28.0ms	(pow (/ (- z t) (- a t)) 3)
15.0ms	(* y (cbrt (pow (/ (- z t) (- a t)) 3)))
10.0ms	(cbrt (pow (/ (- z t) (- a t)) 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

317 → 317

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5181	4023

prune222.0ms

Filtered

139 candidates to 317 candidates (-128.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	317	0	317
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	317	7	324

Merged error: 0b

Counts

324 → 7

regimes773.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

285.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid

Details

analyze978.0ms

sample55.0ms

simplify193.0ms

prune5.0ms

localize9.0ms

rewrite28.0ms

series51.0ms

simplify40.0ms

prune148.0ms

localize11.0ms

rewrite38.0ms

series55.0ms

simplify39.0ms

prune141.0ms

localize16.0ms

rewrite46.0ms

series225.0ms

simplify68.0ms

prune168.0ms

localize13.0ms

rewrite72.0ms

series62.0ms

simplify71.0ms

prune222.0ms

regimes773.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling