Details

analyze525.0ms

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
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	45×	body	80	invalid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	640	13
1	640	13

prune7.0ms

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `associate-+l-` `associate-+l+` `flip3--` `flip3-+` `associate-*l/` `frac-sub` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

9.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
6.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series23.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
12.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4978	517
1	4978	517

prune58.0ms

Filtered

27 candidates to 33 candidates (-22.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))) (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))))
0.6b	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))
0.6b	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))
0.6b	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r/` `associate-l/`
11×	`pow1` `flip3--` `frac-sub` `flip--`
9×	`frac-times` `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 → 97

Calls

4 calls:

15.0ms	(* (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))) (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))))
5.0ms	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))
5.0ms	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))
6.0ms	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))) (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))))
47.0ms	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))
45.0ms	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))
46.0ms	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))

simplify69.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5069	2413

prune295.0ms

Filtered

87 candidates to 109 candidates (-25.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0b

Counts

113 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))
0.6b	(cbrt (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))))
0.6b	(cbrt (pow (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))) 2))
0.6b	(cbrt (pow (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))) 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
9×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `associate-r/` `associate-l/` `frac-sub` `flip--` `unpow2` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

5.0ms	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))
8.0ms	(cbrt (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))))
7.0ms	(cbrt (pow (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))) 2))
7.0ms	(cbrt (pow (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))) 2))

series223.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))))
51.0ms	(cbrt (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))))
66.0ms	(cbrt (pow (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))) 2))
63.0ms	(cbrt (pow (cbrt (- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))) 2))

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4940	1604
1	4940	1604

prune411.0ms

Filtered

71 candidates to 81 candidates (-14.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	81	4	85

Merged error: 0b

Counts

85 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))) 3)) t)
0.0b	(- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))
0.1b	(pow (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))) 3)
37.9b	(cbrt (pow (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-log-exp`
6×	`cube-div` `unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow-unpow` `cbrt-div` `flip3--` `associate-r/` `associate-l/` `frac-sub` `flip--`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `pow1/3` `diff-log` `pow-exp` `sum-log` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 74

Calls

4 calls:

13.0ms	(+ (cbrt (pow (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))) 3)) t)
5.0ms	(- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))
6.0ms	(pow (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))) 3)
7.0ms	(cbrt (pow (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))) 3))

series61.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (cbrt (pow (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))) 3)) t)
9.0ms	(- (* (/ 1.0 8.0) x) (* z (/ y 2.0)))
23.0ms	(pow (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))) 3)
12.0ms	(cbrt (pow (- (* (/ 1.0 8.0) x) (* z (/ y 2.0))) 3))

simplify31.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4997	1458
1	4997	1458

prune109.0ms

Filtered

60 candidates to 86 candidates (-43.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	86	4	90

Merged error: 0b

Counts

90 → 4

regimes537.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	13
1	49	13

end0.0ms

sample555.0ms

Algorithm

intervals

Results

303.0ms	7999×	body	80	valid
45.0ms	1145×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze525.0ms

sample22.0ms

simplify33.0ms

prune7.0ms

localize9.0ms

rewrite16.0ms

series23.0ms

simplify36.0ms

prune58.0ms

localize13.0ms

rewrite35.0ms

series195.0ms

simplify69.0ms

prune295.0ms

localize23.0ms

rewrite30.0ms

series223.0ms

simplify61.0ms

prune411.0ms

localize12.0ms

rewrite34.0ms

series61.0ms

simplify31.0ms

prune109.0ms

regimes537.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample555.0ms

Profiling