Details

sample25.0ms

Algorithm

intervals

Results

9.0ms

265×

body

valid

simplify73.0ms

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 (100.0%)

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: 16.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.2b	(/ (* (neg t1) v) (* (+ t1 u) (+ t1 u)))

rewrite22.0ms

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

series20.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (+ t1 u) (+ t1 u))
16.0ms	(/ (* (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

prune79.0ms

Filtered

76 candidates to 41 candidates (46.1%)

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	(/ (neg t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.6b	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite47.0ms

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:

7.0ms	(/ (neg t1) (+ t1 u))
5.0ms	(/ v (+ t1 u))
27.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (neg t1) (+ t1 u))
6.0ms	(/ v (+ t1 u))
25.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify63.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (14.0ms)

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

prune160.0ms

Filtered

201 candidates to 134 candidates (33.3%)

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: 0.0b

Counts

206 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ 1 (+ t1 u))
0.6b	(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
7.6b	(* (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	(/ v (+ t1 u))
5.0ms	(/ 1 (+ t1 u))
15.0ms	(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
12.0ms	(* (neg t1) (/ v (+ t1 u)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ v (+ t1 u))
4.0ms	(/ 1 (+ t1 u))
16.0ms	(* (* (neg t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
10.0ms	(* (neg t1) (/ v (+ t1 u)))

simplify77.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	546	1033
1	3346	882
2	5001	847

prune124.0ms

Filtered

179 candidates to 101 candidates (43.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	179	8	187

Merged error: 0.0b

Counts

187 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (/ (neg t1) (+ t1 u)) (* (cbrt (/ v (+ t1 u))) (cbrt (/ v (+ t1 u)))))
15.2b	(cbrt (/ v (+ t1 u)))
15.2b	(cbrt (/ v (+ t1 u)))
15.2b	(cbrt (/ v (+ t1 u)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
77×	`times-frac`
54×	`cbrt-prod` `add-sqr-sqrt`
51×	`add-cube-cbrt`
46×	`associate-l`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
11×	`cbrt-div`
9×	`pow1`
8×	`associate-/r/`
6×	`prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*r/`
4×	`neg-mul-1` `flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-frac-neg` `associate-r` `*-commutative`

Counts

4 → 156

Calls

4 calls:

24.0ms	(* (/ (neg t1) (+ t1 u)) (* (cbrt (/ v (+ t1 u))) (cbrt (/ v (+ t1 u)))))
5.0ms	(cbrt (/ v (+ t1 u)))
5.0ms	(cbrt (/ v (+ t1 u)))
7.0ms	(cbrt (/ v (+ t1 u)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (/ (neg t1) (+ t1 u)) (* (cbrt (/ v (+ t1 u))) (cbrt (/ v (+ t1 u)))))
31.0ms	(cbrt (/ v (+ t1 u)))
34.0ms	(cbrt (/ v (+ t1 u)))
32.0ms	(cbrt (/ v (+ t1 u)))

simplify58.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	634	1663
1	1976	1563
2	5002	1533

prune144.0ms

Filtered

168 candidates to 127 candidates (24.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	168	8	176

Merged error: 0.0b

Counts

176 → 8

regimes186.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	25	7
2	31	7
3	33	7
4	33	7

end0.0ms

sample537.0ms

Algorithm

intervals

Results

261.0ms

8266×

body

valid

Details

sample25.0ms

simplify73.0ms

prune3.0ms

localize7.0ms

rewrite22.0ms

series20.0ms

simplify58.0ms

prune79.0ms

localize7.0ms

rewrite47.0ms

series37.0ms

simplify63.0ms

prune160.0ms

localize8.0ms

rewrite45.0ms

series37.0ms

simplify77.0ms

prune124.0ms

localize11.0ms

rewrite47.0ms

series157.0ms

simplify58.0ms

prune144.0ms

regimes186.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample537.0ms

Profiling