Details

analyze847.0ms

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
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	84×	body	80	invalid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
5.9b	(/ (* y (- z t)) a)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

6.0ms	(* y (- z t))
7.0ms	(/ (* y (- z t)) a)

series22.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) a)

simplify43.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5074	384

prune71.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Merged error: 0.0b

Counts

55 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
7.0b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
17.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt a)
21.0ms	(cbrt a)
20.0ms	(cbrt a)
19.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify63.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4938	1097
1	4938	1097

prune123.0ms

Filtered

77 candidates to 116 candidates (-50.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	115	8	123

Merged error: 0b

Counts

123 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.8b	(* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
4.2b	(* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (cbrt a)) (cbrt (cbrt a))))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

249×	`add-exp-log`
132×	`cbrt-prod`
130×	`prod-exp`
105×	`times-frac`
88×	`add-sqr-sqrt` `*-un-lft-identity`
77×	`div-exp` `associate-r`
70×	`add-cube-cbrt`
69×	`add-cbrt-cube`
66×	`cbrt-unprod`
38×	`frac-times` `associate-l`
33×	`cbrt-undiv`
26×	`associate-*l/`
24×	`cbrt-div`
22×	`associate-*r/`
18×	`pow1` `unpow-prod-down`
12×	`pow-to-exp` `flip3--` `pow-exp` `flip--`
9×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`pow1/3` `*-commutative` `div-inv`

Counts

4 → 268

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
38.0ms	(* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
21.0ms	(* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (cbrt a)) (cbrt (cbrt a))))))

series135.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt a)
22.0ms	(cbrt a)
18.0ms	(* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
74.0ms	(* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (/ (cbrt (- z t)) (* (cbrt (cbrt a)) (cbrt (cbrt a))))))

simplify53.0ms

Algorithm

egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5141	6754

prune415.0ms

Filtered

199 candidates to 280 candidates (-40.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	280	8	288

Merged error: 0b

Counts

288 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.4b	(/ 1 (/ a (* y (- z t))))
5.9b	(/ a (* y (- z t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
31×	`add-exp-log`
29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1` `flip3--` `flip--` `div-inv` `associate-/l*`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod` `add-log-exp`
2×	`sub-neg` `frac-2neg` `clear-num`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `*-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

3 → 111

Calls

3 calls:

6.0ms	(* y (- z t))
8.0ms	(/ 1 (/ a (* y (- z t))))
6.0ms	(/ a (* y (- z t)))

series28.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
12.0ms	(/ 1 (/ a (* y (- z t))))
10.0ms	(/ a (* y (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4992	1140
1	4992	1140

prune89.0ms

Filtered

71 candidates to 120 candidates (-69.0%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	120	8	128

Merged error: 0b

Counts

128 → 8

regimes978.0ms

Accuracy

55.6% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.9b

bsearch32.0ms

Steps

Iters	Range		Point
7	1.5035358417239178e-70	7.007677828675255e-69	4.0872069085301e-69
7	-2.8183177045343596e-43	-1.0978889356607745e-44	-1.7727444625810444e-43

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	215	27
1	215	27

end0.0ms

sample702.0ms

Algorithm

intervals

Results

273.0ms	8000×	body	80	valid
86.0ms	2623×	body	80	invalid

Details

analyze847.0ms

sample26.0ms

simplify32.0ms

prune12.0ms

localize7.0ms

rewrite14.0ms

series22.0ms

simplify43.0ms

prune71.0ms

localize11.0ms

rewrite24.0ms

series81.0ms

simplify63.0ms

prune123.0ms

localize20.0ms

rewrite78.0ms

series135.0ms

simplify53.0ms

prune415.0ms

localize8.0ms

rewrite23.0ms

series28.0ms

simplify52.0ms

prune89.0ms

regimes978.0ms

bsearch32.0ms

simplify4.0ms

end0.0ms

sample702.0ms

Profiling