Details

sample28.0ms

Algorithm

intervals

Results

10.0ms

278×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

prune4.0ms

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: 9.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
10.5b	(/ (* (- y z) t) (- a z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

10.0ms	(+ x (/ (* (- y z) t) (- a z)))
8.0ms	(* (- y z) t)
11.0ms	(/ (* (- y z) t) (- a z))

series56.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* (- y z) t) (- a z)))
9.0ms	(* (- y z) t)
21.0ms	(/ (* (- y z) t) (- a z))

simplify37.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	326	368
1	1401	329
2	5001	329

prune104.0ms

Filtered

72 candidates to 52 candidates (27.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (- a z))
0.4b	(cbrt (- a z))
0.6b	(* (cbrt (- a z)) (cbrt (- a z)))
3.4b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`cbrt-prod`
38×	`associate-r`
36×	`times-frac`
31×	`add-cube-cbrt`
30×	`cbrt-div`
27×	`add-exp-log`
25×	`associate-l`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
12×	`distribute-lft-out--`
10×	`swap-sqr` `associate-/r/` `difference-of-squares` `unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
5×	`associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 163

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
10.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
32.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series102.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- a z))
25.0ms	(cbrt (- a z))
31.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
21.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify127.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	735	1770
1	3450	1598
2	5003	1472

prune247.0ms

Filtered

175 candidates to 123 candidates (29.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	175	7	182

Merged error: 0.0b

Counts

182 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) t)
0.0b	(+ x (/ (- y z) (/ (- a z) t)))
11.2b	(/ (- y z) (/ (- a z) t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

6.0ms	(/ (- a z) t)
26.0ms	(+ x (/ (- y z) (/ (- a z) t)))
11.0ms	(/ (- y z) (/ (- a z) t))

series52.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- a z) t)
25.0ms	(+ x (/ (- y z) (/ (- a z) t)))
21.0ms	(/ (- y z) (/ (- a z) t))

simplify74.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	779	1717
1	2986	1664
2	5001	1664

prune162.0ms

Filtered

197 candidates to 132 candidates (33.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	197	7	204

Merged error: 0b

Counts

204 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ (- y z) (- a z)) t))
0.0b	(/ (- y z) (- a z))
1.5b	(* (/ (- y z) (- a z)) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* (/ (- y z) (- a z)) t))
8.0ms	(/ (- y z) (- a z))
12.0ms	(* (/ (- y z) (- a z)) t)

series57.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (* (/ (- y z) (- a z)) t))
9.0ms	(/ (- y z) (- a z))
21.0ms	(* (/ (- y z) (- a z)) t)

simplify43.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	432	753
1	1363	710
2	5002	709

prune93.0ms

Filtered

122 candidates to 84 candidates (31.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	122	7	129

Merged error: 0b

Counts

129 → 7

regimes466.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample807.0ms

Algorithm

intervals

Results

329.0ms	8703×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Details

sample28.0ms

simplify44.0ms

prune4.0ms

localize8.0ms

rewrite32.0ms

series56.0ms

simplify37.0ms

prune104.0ms

localize12.0ms

rewrite55.0ms

series102.0ms

simplify127.0ms

prune247.0ms

localize8.0ms

rewrite55.0ms

series52.0ms

simplify74.0ms

prune162.0ms

localize11.0ms

rewrite27.0ms

series57.0ms

simplify43.0ms

prune93.0ms

regimes466.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample807.0ms

Profiling

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5