Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

260×

body

valid

simplify83.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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: 22.9b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
22.7b	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite52.0ms

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))
41.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ t1 u) (+ t1 u))
87.0ms	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

simplify61.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (54.0ms)

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

prune113.0ms

Filtered

76 candidates to 41 candidates (53.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (neg t1) (+ t1 u))
0.6b	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite45.0ms

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))
7.0ms	(/ (neg t1) (+ t1 u))
25.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ v (+ t1 u))
42.0ms	(/ (neg t1) (+ t1 u))
125.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify63.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (15.0ms)

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

prune305.0ms

Filtered

201 candidates to 134 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	198	7	205

Merged error: 0b

Counts

205 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))
19.0b	(cbrt (* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u))))
19.0b	(cbrt (* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u))))
19.0b	(cbrt (* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
56×	`times-frac`
47×	`add-sqr-sqrt`
46×	`associate-l`
35×	`add-cube-cbrt`
18×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
9×	`cbrt-div`
6×	`pow1`
4×	`cbrt-undiv` `frac-times` `neg-mul-1` `associate-r/` `div-exp` `associate-l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `pow1/3`
2×	`flip3-+` `flip-+` `div-inv`
1×	`distribute-lft-neg-out` `distribute-frac-neg` `pow-prod-down` `*-commutative`

Counts

4 → 125

Calls

4 calls:

28.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))
11.0ms	(cbrt (* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u))))
11.0ms	(cbrt (* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u))))
11.0ms	(cbrt (* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u))))

series774.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))
218.0ms	(cbrt (* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u))))
216.0ms	(cbrt (* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u))))
219.0ms	(cbrt (* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u))))

simplify55.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	558	1110
1	2150	1003
2	5002	997

prune316.0ms

Filtered

137 candidates to 100 candidates (73.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	137	7	144

Merged error: 0b

Counts

144 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.0b	(/ v (+ t1 u))
1.3b	(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
7.1b	(* (neg t1) (/ v (+ t1 u)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
54×	`add-exp-log`
49×	`times-frac`
46×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
36×	`associate-r`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp` `distribute-lft-out`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
6×	`associate-/l*`
4×	`rec-exp` `flip3-+` `1-exp` `associate-*r/` `pow-prod-down` `flip-+` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`frac-times` `neg-mul-1` `pow-flip` `associate-*l/` `un-div-inv` `inv-pow`

Counts

4 → 167

Calls

4 calls:

5.0ms	(/ 1 (+ t1 u))
5.0ms	(/ v (+ t1 u))
17.0ms	(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
11.0ms	(* (neg t1) (/ v (+ t1 u)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (+ t1 u))
25.0ms	(/ v (+ t1 u))
76.0ms	(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
50.0ms	(* (neg t1) (/ v (+ t1 u)))

simplify77.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	546	1035
1	3346	884
2	5001	849

prune217.0ms

Filtered

179 candidates to 102 candidates (57.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	179	7	186

Merged error: 0b

Counts

186 → 7

regimes76.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

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

sample416.0ms

Algorithm

intervals

Results

250.0ms

8262×

body

valid

Details

sample19.0ms

simplify83.0ms

prune3.0ms

localize9.0ms

rewrite52.0ms

series103.0ms

simplify61.0ms

prune113.0ms

localize7.0ms

rewrite45.0ms

series195.0ms

simplify63.0ms

prune305.0ms

localize11.0ms

rewrite65.0ms

series774.0ms

simplify55.0ms

prune316.0ms

localize8.0ms

rewrite45.0ms

series187.0ms

simplify77.0ms

prune217.0ms

regimes76.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample416.0ms

Profiling