Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

261×

body

valid

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: 18.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.8b	(/ (* (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))
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)))

simplify61.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (51.0ms)

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

prune68.0ms

Filtered

41 candidates to 76 candidates (-85.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	3	77

Merged error: 0.0b

Counts

77 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (neg t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.7b	(* (/ (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:

7.0ms	(/ (neg t1) (+ t1 u))
5.0ms	(/ v (+ t1 u))
26.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (neg t1) (+ t1 u))
6.0ms	(/ v (+ t1 u))
24.0ms	(* (/ (neg t1) (+ t1 u)) (/ v (+ t1 u)))

simplify61.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 1 (15.0ms)

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

prune145.0ms

Filtered

134 candidates to 201 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	198	6	204

Merged error: 0b

Counts

204 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.3b	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
9.2b	(* (neg t1) (/ v (+ t1 u)))

rewrite31.0ms

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))
11.0ms	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
12.0ms	(* (neg t1) (/ v (+ t1 u)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ v (+ t1 u))
16.0ms	(/ (* (neg t1) (/ v (+ t1 u))) (+ t1 u))
11.0ms	(* (neg t1) (/ v (+ t1 u)))

simplify49.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (10.0ms)

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

prune86.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.1b	(pow (/ (neg t1) (+ t1 u)) 3)
1.7b	(* (cbrt (pow (/ (neg t1) (+ t1 u)) 3)) (/ v (+ t1 u)))
15.1b	(cbrt (pow (/ (neg t1) (+ t1 u)) 3))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

297×	`*-un-lft-identity`
275×	`times-frac`
208×	`cbrt-prod`
200×	`add-sqr-sqrt`
163×	`add-cube-cbrt`
142×	`unpow-prod-down` `cube-prod`
101×	`associate-l`
72×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
67×	`distribute-lft-out`
24×	`neg-mul-1`
18×	`associate-r`
16×	`associate-/r/`
14×	`add-exp-log` `unswap-sqr`
12×	`add-cbrt-cube`
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` `associate-/l*`
2×	`pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt`
1×	`frac-times` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `distribute-frac-neg` `cube-neg` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `rem-cbrt-cube`

Counts

4 → 403

Calls

4 calls:

5.0ms	(/ v (+ t1 u))
11.0ms	(pow (/ (neg t1) (+ t1 u)) 3)
51.0ms	(* (cbrt (pow (/ (neg t1) (+ t1 u)) 3)) (/ v (+ t1 u)))
14.0ms	(cbrt (pow (/ (neg t1) (+ t1 u)) 3))

series72.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ v (+ t1 u))
11.0ms	(pow (/ (neg t1) (+ t1 u)) 3)
41.0ms	(* (cbrt (pow (/ (neg t1) (+ t1 u)) 3)) (/ v (+ t1 u)))
13.0ms	(cbrt (pow (/ (neg t1) (+ t1 u)) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

415 → 415

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1034	3102
1	5002	2871

prune229.0ms

Filtered

174 candidates to 415 candidates (-138.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	415	0	415
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	415	6	421

Merged error: 0b

Counts

421 → 6

regimes155.0ms

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	12	6
1	18	6
2	21	6
3	21	6

end0.0ms

sample535.0ms

Algorithm

intervals

Results

256.0ms

8272×

body

valid

Details

sample21.0ms

simplify72.0ms

prune3.0ms

localize7.0ms

rewrite21.0ms

series20.0ms

simplify61.0ms

prune68.0ms

localize7.0ms

rewrite46.0ms

series36.0ms

simplify61.0ms

prune145.0ms

localize7.0ms

rewrite31.0ms

series35.0ms

simplify49.0ms

prune86.0ms

localize10.0ms

rewrite108.0ms

series72.0ms

simplify61.0ms

prune229.0ms

regimes155.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample535.0ms

Profiling