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
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (* x y) (* (- x 1.0) z))
4.0ms	(* (- x 1.0) z)

simplify38.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5182	345

prune58.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
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×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
5.0ms	(cbrt (* (- x 1.0) z))
5.0ms	(cbrt (* (- x 1.0) z))
5.0ms	(cbrt (* (- x 1.0) z))

series64.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
13.0ms	(cbrt (* (- x 1.0) z))
16.0ms	(cbrt (* (- x 1.0) z))
14.0ms	(cbrt (* (- x 1.0) z))

simplify64.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5772	966

prune167.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
0.0b	(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
2.2b	(* z (- (pow x 3) (pow 1.0 3)))
10.9b	(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`associate-r`
18×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
8×	`add-cube-cbrt` `sqr-pow`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`associate-*r/` `sum-log`
3×	`flip3-+` `times-frac` `associate-l` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `associate-/l/`
1×	`difference-cubes` `distribute-rgt-in` `associate-+r+` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

6.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
11.0ms	(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
17.0ms	(* z (- (pow x 3) (pow 1.0 3)))
20.0ms	(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
22.0ms	(+ (* x y) (/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
12.0ms	(* z (- (pow x 3) (pow 1.0 3)))
29.0ms	(/ (* z (- (pow x 3) (pow 1.0 3))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify69.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4949	1574
1	4949	1574

prune186.0ms

Filtered

72 candidates to 105 candidates (-45.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
0.1b	(* (- x 1.0) (sqrt z))
0.2b	(* (* (- x 1.0) (sqrt z)) (sqrt z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

4.0ms	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
7.0ms	(* (- x 1.0) (sqrt z))
9.0ms	(* (* (- x 1.0) (sqrt z)) (sqrt z))

series31.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
7.0ms	(* (- x 1.0) (sqrt z))
6.0ms	(* (* (- x 1.0) (sqrt z)) (sqrt z))

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5071	619

prune70.0ms

Filtered

45 candidates to 69 candidates (-53.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

regimes221.0ms

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	50	9
1	50	9

end0.0ms

sample450.0ms

Algorithm

intervals

Results

241.0ms	8000×	body	80	valid
18.0ms	620×	body	80	invalid

Details

analyze288.0ms

sample18.0ms

simplify15.0ms

prune3.0ms

localize9.0ms

rewrite11.0ms

series11.0ms

simplify38.0ms

prune58.0ms

localize10.0ms

rewrite23.0ms

series64.0ms

simplify64.0ms

prune167.0ms

localize17.0ms

rewrite57.0ms

series65.0ms

simplify69.0ms

prune186.0ms

localize8.0ms

rewrite22.0ms

series31.0ms

simplify44.0ms

prune70.0ms

regimes221.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample450.0ms

Profiling