Details

analyze288.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

prune4.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- 1.0 y))
0.0b	(+ (* x y) (* z (- 1.0 y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

6.0ms	(* z (- 1.0 y))
4.0ms	(+ (* x y) (* z (- 1.0 y)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* z (- 1.0 y))
9.0ms	(+ (* x y) (* z (- 1.0 y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	6408	369

prune47.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ (* x y) (* z 1.0)) (* z (neg y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `flip3-+` `unsub-neg` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+`

Counts

1 → 14

Calls

1 calls:

5.0ms

(+ (+ (* x y) (* z 1.0)) (* z (neg y)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(+ (+ (* x y) (* z 1.0)) (* z (neg y)))

simplify21.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5474	218

prune24.0ms

Filtered

13 candidates to 17 candidates (-30.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) (* z (- 1.0 y))))
0.5b	(cbrt (+ (* x y) (* z (- 1.0 y))))
0.5b	(cbrt (+ (* x y) (* z (- 1.0 y))))
0.5b	(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))

rewrite20.0ms

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:

3.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))
3.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))
3.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))
9.0ms	(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))

series184.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))
42.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))
40.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))
61.0ms	(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4980	1773
1	4980	1773

prune202.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y))))))
0.5b	(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
0.6b	(cbrt (cbrt (+ (* x y) (* z (- 1.0 y)))))
0.9b	(pow (cbrt (cbrt (+ (* x y) (* z (- 1.0 y))))) 4)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-div`
35×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`flip3-+` `flip-+`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3`
8×	`frac-times`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 105

Calls

4 calls:

8.0ms	(cbrt (* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y))))))
9.0ms	(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
3.0ms	(cbrt (cbrt (+ (* x y) (* z (- 1.0 y)))))
7.0ms	(pow (cbrt (cbrt (+ (* x y) (* z (- 1.0 y))))) 4)

series254.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt (* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y))))))
61.0ms	(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
41.0ms	(cbrt (cbrt (+ (* x y) (* z (- 1.0 y)))))
91.0ms	(pow (cbrt (cbrt (+ (* x y) (* z (- 1.0 y))))) 4)

simplify66.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5165	2510

prune374.0ms

Filtered

86 candidates to 117 candidates (-36.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0.0b

Counts

121 → 4

regimes253.0ms

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	21	12
1	21	12

end0.0ms

analyze285.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

sample392.0ms

Algorithm

intervals

Results

215.0ms	8000×	body	80	valid
17.0ms	675×	body	80	invalid

Details

analyze288.0ms

sample15.0ms

simplify3.0ms

prune4.0ms

localize6.0ms

rewrite10.0ms

series14.0ms

simplify51.0ms

prune47.0ms

localize8.0ms

rewrite6.0ms

series8.0ms

simplify21.0ms

prune24.0ms

localize10.0ms

rewrite20.0ms

series184.0ms

simplify53.0ms

prune202.0ms

localize16.0ms

rewrite31.0ms

series254.0ms

simplify66.0ms

prune374.0ms

regimes253.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze285.0ms

sample392.0ms

Profiling