Details

sample565.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.665283%

Guaranteed chance to sample good point: 90.082949%

Results

8.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	65	6
2	132	6
3	208	6
4	250	6
5	287	6
6	307	6
7	347	6
8	420	6
9	573	6
10	1883	6
11	5001	6

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: 18.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.0b	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

8.0ms	(* (+ t1 u) (+ t1 u))
10.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series23.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (+ t1 u) (+ t1 u))
19.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	381	490
1	2039	406
2	5001	402

prune78.0ms

Filtered

41 candidates to 76 candidates (-85.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (neg t1) (+ t1 u))
1.5b	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 192

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
6.0ms	(/ (neg t1) (+ t1 u))
26.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series33.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ v (+ t1 u))
6.0ms	(/ (neg t1) (+ t1 u))
21.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify64.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	593	1281
1	2692	1197
2	5002	1197

prune171.0ms

Filtered

134 candidates to 201 candidates (-50.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	196	5	201
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	198	8	206

Merged error: 0b

Counts

206 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.8b	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
8.0b	(* (neg t1) (/ v (+ t1 u)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`neg-mul-1` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 107

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
10.0ms	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
13.0ms	(* (neg t1) (/ v (+ t1 u)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ v (+ t1 u))
16.0ms	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
10.0ms	(* (neg t1) (/ v (+ t1 u)))

simplify48.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	385	649
1	2067	570
2	5001	570

prune99.0ms

Filtered

79 candidates to 116 candidates (-46.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	117	7	124

Merged error: 0b

Counts

124 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (neg t1) (+ t1 u))
0.1b	(pow (/ (neg t1) (+ t1 u)) 3)
1.5b	(* (cbrt (pow (/ (neg t1) (+ t1 u)) 3)) (/ v (+ t1 u)))
14.2b	(cbrt (pow (/ (neg t1) (+ t1 u)) 3))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

328×	`*-un-lft-identity`
303×	`times-frac`
217×	`add-sqr-sqrt`
208×	`cbrt-prod`
180×	`add-cube-cbrt`
142×	`unpow-prod-down` `cube-prod`
101×	`associate-l`
87×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
74×	`distribute-lft-out`
29×	`neg-mul-1`
18×	`associate-r`
16×	`associate-/r/`
14×	`add-exp-log` `unswap-sqr`
12×	`add-cbrt-cube`
10×	`associate-/l*`
8×	`flip3-+` `flip-+` `div-inv`
7×	`pow1`
5×	`sqr-pow`
4×	`cube-div` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `cube-mult` `pow-unpow` `cbrt-div` `unpow3` `div-exp`
2×	`distribute-frac-neg` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt`
1×	`neg-sub0` `frac-times` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `associate-r/` `cube-neg` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `rem-cbrt-cube`

Counts

4 → 440

Calls

4 calls:

6.0ms	(/ (neg t1) (+ t1 u))
11.0ms	(pow (/ (neg t1) (+ t1 u)) 3)
47.0ms	(* (cbrt (pow (/ (neg t1) (+ t1 u)) 3)) (/ v (+ t1 u)))
13.0ms	(cbrt (pow (/ (neg t1) (+ t1 u)) 3))

series70.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (neg t1) (+ t1 u))
14.0ms	(pow (/ (neg t1) (+ t1 u)) 3)
37.0ms	(* (cbrt (pow (/ (neg t1) (+ t1 u)) 3)) (/ v (+ t1 u)))
13.0ms	(cbrt (pow (/ (neg t1) (+ t1 u)) 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

452 → 452

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1054	3361
1	5001	3117

prune275.0ms

Filtered

193 candidates to 452 candidates (-134.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	452	0	452
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	452	7	459

Merged error: 0b

Counts

459 → 7

regimes189.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	21	6

end0.0ms

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.665283%

Guaranteed chance to sample good point: 90.082949%

Results

271.0ms	8000×	body	80	valid
6.0ms	188×	body	80	invalid

Details

sample565.0ms

simplify72.0ms

prune3.0ms

localize7.0ms

rewrite21.0ms

series23.0ms

simplify58.0ms

prune78.0ms

localize7.0ms

rewrite46.0ms

series33.0ms

simplify64.0ms

prune171.0ms

localize7.0ms

rewrite32.0ms

series32.0ms

simplify48.0ms

prune99.0ms

localize10.0ms

rewrite107.0ms

series70.0ms

simplify66.0ms

prune275.0ms

regimes189.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling