Details

analyze731.0ms

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
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample28.0ms

Algorithm

intervals

Results

13.0ms	246×	body	80	valid
2.0ms	53×	body	80	invalid
1.0ms	5×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
0.0b	(* x (+ (* (+ y z) 2) t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

9.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
9.0ms	(* x (+ (* (+ y z) 2) t))

series26.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
11.0ms	(* x (+ (* (+ y z) 2) t))

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5376	519

prune72.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* (+ y z) 2) t))
0.5b	(cbrt (+ (* (+ y z) 2) t))
0.5b	(cbrt (+ (* (+ y z) 2) t))
0.6b	(* (cbrt (+ (* (+ y z) 2) t)) (cbrt (+ (* (+ y z) 2) t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

6.0ms	(cbrt (+ (* (+ y z) 2) t))
6.0ms	(cbrt (+ (* (+ y z) 2) t))
6.0ms	(cbrt (+ (* (+ y z) 2) t))
16.0ms	(* (cbrt (+ (* (+ y z) 2) t)) (cbrt (+ (* (+ y z) 2) t)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (+ (* (+ y z) 2) t))
44.0ms	(cbrt (+ (* (+ y z) 2) t))
41.0ms	(cbrt (+ (* (+ y z) 2) t))
264.0ms	(* (cbrt (+ (* (+ y z) 2) t)) (cbrt (+ (* (+ y z) 2) t)))

simplify34.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5292	1500

prune225.0ms

Filtered

82 candidates to 99 candidates (-20.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* (+ y z) 2) t))
0.5b	(cbrt (+ (* 2 (+ y z)) t))
0.7b	(pow (cbrt (+ (* 2 (+ y z)) t)) 6)
27.6b	(cbrt (pow (cbrt (+ (* 2 (+ y z)) t)) 6))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `flip3-+` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 65

Calls

4 calls:

6.0ms	(cbrt (+ (* (+ y z) 2) t))
6.0ms	(cbrt (+ (* 2 (+ y z)) t))
7.0ms	(pow (cbrt (+ (* 2 (+ y z)) t)) 6)
7.0ms	(cbrt (pow (cbrt (+ (* 2 (+ y z)) t)) 6))

series224.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt (+ (* (+ y z) 2) t))
42.0ms	(cbrt (+ (* 2 (+ y z)) t))
81.0ms	(pow (cbrt (+ (* 2 (+ y z)) t)) 6)
57.0ms	(cbrt (pow (cbrt (+ (* 2 (+ y z)) t)) 6))

simplify50.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4926	907
1	4926	907

prune141.0ms

Filtered

55 candidates to 77 candidates (-40.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	77	6	83

Merged error: 0.0b

Counts

83 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* (+ y z) 2) t))
0.1b	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.1b	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.3b	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `associate-r` `associate-l` `flip-+`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

9.0ms	(* x (+ (* (+ y z) 2) t))
9.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
22.0ms	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* x (+ (* (+ y z) 2) t))
107.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
111.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
15.0ms	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

simplify33.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5051	2243

prune193.0ms

Filtered

82 candidates to 121 candidates (-47.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

regimes268.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms

sample671.0ms

Algorithm

intervals

Results

299.0ms	7707×	body	80	valid
73.0ms	1856×	body	80	invalid
17.0ms	97×	body	1280	valid
14.0ms	94×	body	640	valid
6.0ms	57×	body	320	valid
3.0ms	45×	body	160	valid

Details

analyze731.0ms

sample28.0ms

simplify7.0ms

prune8.0ms

localize9.0ms

rewrite19.0ms

series26.0ms

simplify38.0ms

prune72.0ms

localize14.0ms

rewrite37.0ms

series390.0ms

simplify34.0ms

prune225.0ms

localize19.0ms

rewrite28.0ms

series224.0ms

simplify50.0ms

prune141.0ms

localize13.0ms

rewrite51.0ms

series244.0ms

simplify33.0ms

prune193.0ms

regimes268.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample671.0ms

Profiling