Details

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 8.5163%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

9.0ms	256×	body	80	valid
2.0ms	43×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	39	5
3	58	5
4	73	5
5	87	5
6	102	5
7	108	5
8	110	5
9	110	5

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: 6.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
6.5b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

6.0ms	(/ t (- 1.0 z))
18.0ms	(- (/ y z) (/ t (- 1.0 z)))
22.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series33.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ t (- 1.0 z))
9.0ms	(- (/ y z) (/ t (- 1.0 z)))
18.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	387	632
1	1452	595
2	5002	593

prune153.0ms

Filtered

71 candidates to 98 candidates (-38.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	88	10	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	10	99

Merged error: 1.0b

Counts

99 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
3.6b	(* x (neg (/ t (- 1.0 z))))
8.9b	(* x (/ y z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
59×	`associate-r`
55×	`times-frac`
42×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`associate-l` `associate-/r/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-*r/` `div-inv`
3×	`flip3--` `prod-exp` `distribute-rgt-neg-out` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-neg-frac`
1×	`+-commutative` `neg-mul-1` `frac-2neg` `flip3-+` `unsub-neg` `frac-add` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 147

Calls

4 calls:

5.0ms	(/ t (- 1.0 z))
5.0ms	(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
15.0ms	(* x (neg (/ t (- 1.0 z))))
6.0ms	(* x (/ y z))

series42.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ t (- 1.0 z))
18.0ms	(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
14.0ms	(* x (neg (/ t (- 1.0 z))))
5.0ms	(* x (/ y z))

simplify82.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	674	868
1	3164	809
2	5002	808

prune231.0ms

Filtered

118 candidates to 159 candidates (-34.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	151	8	159
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	157	12	169

Merged error: 0.0b

Counts

169 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.3b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
3.6b	(* x (neg (/ t (- 1.0 z))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

51×	`associate-r`
45×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
28×	`add-cube-cbrt`
24×	`add-exp-log`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
16×	`add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1`
6×	`cbrt-prod` `associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `add-log-exp`
3×	`div-inv` `unswap-sqr`
2×	`flip3--` `pow1/3` `associate-r/` `pow-prod-down` `-commutative` `flip--`
1×	`neg-mul-1` `distribute-rgt-neg-out` `distribute-neg-frac`

Counts

4 → 115

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
14.0ms	(* x (neg (/ t (- 1.0 z))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
24.0ms	(cbrt y)
25.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
11.0ms	(* x (neg (/ t (- 1.0 z))))

simplify72.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	650	825
1	3003	721
2	5001	691

prune182.0ms

Filtered

93 candidates to 127 candidates (-36.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	126	13	139

Merged error: 0.0b

Counts

139 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

3.6b	(* x (neg (/ t (- 1.0 z))))
7.2b	(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
7.2b	(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
7.2b	(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-r`
38×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
30×	`times-frac`
24×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`associate-*r/` `associate-/r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`flip3--` `flip--` `div-inv`
1×	`neg-mul-1` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `distribute-neg-frac` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

15.0ms	(* x (neg (/ t (- 1.0 z))))
9.0ms	(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
9.0ms	(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
9.0ms	(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* x (neg (/ t (- 1.0 z))))
41.0ms	(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
40.0ms	(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
43.0ms	(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	498	865
1	2045	786
2	5002	759

prune134.0ms

Filtered

83 candidates to 105 candidates (-26.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	105	13	118

Merged error: 0.0b

Counts

118 → 13

regimes656.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	17
1	30	17
2	31	17
3	31	17

end0.0ms

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 8.5163%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

312.0ms	8000×	body	80	valid
47.0ms	1286×	body	80	invalid

Details

sample1.5s

simplify15.0ms

prune4.0ms

localize8.0ms

rewrite50.0ms

series33.0ms

simplify45.0ms

prune153.0ms

localize10.0ms

rewrite38.0ms

series42.0ms

simplify82.0ms

prune231.0ms

localize20.0ms

rewrite33.0ms

series83.0ms

simplify72.0ms

prune182.0ms

localize27.0ms

rewrite45.0ms

series137.0ms

simplify57.0ms

prune134.0ms

regimes656.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.1s

Profiling