Details

analyze711.0ms

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

sample51.0ms

Algorithm

intervals

Results

8.0ms	250×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

8.0ms	(+ (* (+ y z) 2) t)
9.0ms	(* x (+ (* (+ y z) 2) t))
10.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))

series30.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* (+ y z) 2) t)
10.0ms	(* x (+ (* (+ y z) 2) t))
14.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))

simplify20.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	5082	662

prune74.0ms

Filtered

41 candidates to 55 candidates (-34.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0.0b

Counts

56 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.4b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.4b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

rewrite52.0ms

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:

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

series305.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
64.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
63.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
114.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

simplify62.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune282.0ms

Filtered

84 candidates to 99 candidates (-17.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
0.6b	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`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 → 96

Calls

4 calls:

22.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
10.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
10.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
10.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))

series304.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
64.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
64.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))
65.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ y z)) t)) (* y 5.0))))

simplify65.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4962	2947
1	4962	2947

prune535.0ms

Filtered

91 candidates to 108 candidates (-18.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 5.0 (* y 5.0))
4.4b	(- (* x (* (+ (* (+ y z) 2) t) (* x (+ (* (+ y z) 2) t)))) (* y (* 5.0 (* y 5.0))))
6.4b	(* x (* (+ (* (+ y z) 2) t) (* x (+ (* (+ y z) 2) t))))
30.7b	(/ (- (* x (* (+ (* (+ y z) 2) t) (* x (+ (* (+ y z) 2) t)))) (* y (* 5.0 (* y 5.0)))) (- (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `distribute-lft-in`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
16×	`associate-*r/`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate--l+`
6×	`flip3-+` `associate-l` `flip-+` `add-log-exp`
4×	`frac-times`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`associate-r` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 106

Calls

4 calls:

5.0ms	(* 5.0 (* y 5.0))
21.0ms	(- (* x (* (+ (* (+ y z) 2) t) (* x (+ (* (+ y z) 2) t)))) (* y (* 5.0 (* y 5.0))))
21.0ms	(* x (* (+ (* (+ y z) 2) t) (* x (+ (* (+ y z) 2) t))))
30.0ms	(/ (- (* x (* (+ (* (+ y z) 2) t) (* x (+ (* (+ y z) 2) t)))) (* y (* 5.0 (* y 5.0)))) (- (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* 5.0 (* y 5.0))
69.0ms	(- (* x (* (+ (* (+ y z) 2) t) (* x (+ (* (+ y z) 2) t)))) (* y (* 5.0 (* y 5.0))))
27.0ms	(* x (* (+ (* (+ y z) 2) t) (* x (+ (* (+ y z) 2) t))))
121.0ms	(/ (- (* x (* (+ (* (+ y z) 2) t) (* x (+ (* (+ y z) 2) t)))) (* y (* 5.0 (* y 5.0)))) (- (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5166	3014

prune209.0ms

Filtered

86 candidates to 118 candidates (-37.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	118	4	122

Merged error: 0b

Counts

122 → 4

regimes246.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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

sample1.2s

Algorithm

intervals

Results

256.0ms	7719×	body	80	valid
14.0ms	85×	body	1280	valid
13.0ms	102×	body	640	valid
6.0ms	66×	body	320	valid
2.0ms	28×	body	160	valid

Details

analyze711.0ms

sample51.0ms

simplify7.0ms

prune8.0ms

localize9.0ms

rewrite28.0ms

series30.0ms

simplify20.0ms

prune74.0ms

localize17.0ms

rewrite52.0ms

series305.0ms

simplify62.0ms

prune282.0ms

localize30.0ms

rewrite55.0ms

series304.0ms

simplify65.0ms

prune535.0ms

localize17.0ms

rewrite80.0ms

series219.0ms

simplify60.0ms

prune209.0ms

regimes246.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling