Details

analyze312.0ms

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

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	34×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune3.0ms

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)))

rewrite14.0ms

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:

9.0ms	(* 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))
8.0ms	(+ (* x y) (* z (- 1.0 y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5022	369

prune55.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (- 1.0 y))) (cbrt (* z (- 1.0 y))))
0.6b	(cbrt (* z (- 1.0 y)))
0.6b	(cbrt (* z (- 1.0 y)))
0.6b	(cbrt (* z (- 1.0 y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* z (- 1.0 y))) (cbrt (* z (- 1.0 y))))
4.0ms	(cbrt (* z (- 1.0 y)))
4.0ms	(cbrt (* z (- 1.0 y)))
4.0ms	(cbrt (* z (- 1.0 y)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (* z (- 1.0 y))) (cbrt (* z (- 1.0 y))))
19.0ms	(cbrt (* z (- 1.0 y)))
16.0ms	(cbrt (* z (- 1.0 y)))
17.0ms	(cbrt (* z (- 1.0 y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4969	1074
1	4969	1074

prune166.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- 1.0 y))
0.0b	(+ (* x y) (cbrt (pow (* z (- 1.0 y)) 3)))
0.1b	(pow (* z (- 1.0 y)) 3)
38.6b	(cbrt (pow (* z (- 1.0 y)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

8.0ms	(* z (- 1.0 y))
5.0ms	(+ (* x y) (cbrt (pow (* z (- 1.0 y)) 3)))
5.0ms	(pow (* z (- 1.0 y)) 3)
2.0ms	(cbrt (pow (* z (- 1.0 y)) 3))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* z (- 1.0 y))
11.0ms	(+ (* x y) (cbrt (pow (* z (- 1.0 y)) 3)))
7.0ms	(pow (* z (- 1.0 y)) 3)
7.0ms	(cbrt (pow (* z (- 1.0 y)) 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5526	777

prune105.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

3.1b	(* z (* (- 1.0 y) (- y 1.0)))
3.8b	(* x (* x (* y y)))
9.2b	(* x (* y y))
29.5b	(/ (+ (* x (* x (* y y))) (* z (* z (* (- 1.0 y) (- y 1.0))))) (+ (* x y) (* z (- y 1.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-*r/`
9×	`times-frac` `associate-l`
6×	`flip3--` `flip--`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `add-log-exp`
3×	`associate-r` `associate-/r` `-commutative` `associate-/l*`
2×	`flip3-+` `associate-*l/` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* z (* (- 1.0 y) (- y 1.0)))
6.0ms	(* x (* x (* y y)))
5.0ms	(* x (* y y))
12.0ms	(/ (+ (* x (* x (* y y))) (* z (* z (* (- 1.0 y) (- y 1.0))))) (+ (* x y) (* z (- y 1.0))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* z (* (- 1.0 y) (- y 1.0)))
6.0ms	(* x (* x (* y y)))
6.0ms	(* x (* y y))
40.0ms	(/ (+ (* x (* x (* y y))) (* z (* z (* (- 1.0 y) (- y 1.0))))) (+ (* x y) (* z (- y 1.0))))

simplify41.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5029	1945

prune124.0ms

Filtered

71 candidates to 113 candidates (-59.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

regimes198.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample412.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
18.0ms	683×	body	80	invalid

Details

analyze312.0ms

sample18.0ms

simplify15.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series14.0ms

simplify42.0ms

prune55.0ms

localize11.0ms

rewrite21.0ms

series77.0ms

simplify50.0ms

prune166.0ms

localize12.0ms

rewrite22.0ms

series29.0ms

simplify36.0ms

prune105.0ms

localize16.0ms

rewrite36.0ms

series58.0ms

simplify41.0ms

prune124.0ms

regimes198.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample412.0ms

Profiling