Details

analyze944.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample26.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify164.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (162.0ms)

Iter	Nodes	Cost
0	4786	11
1	4786	11

prune12.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
8.2b	(* (- y z) (/ t (- a z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

3.0ms	(+ x (* (- y z) (/ t (- a z))))
9.0ms	(/ t (- a z))
12.0ms	(* (- y z) (/ t (- a z)))

series46.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ x (* (- y z) (/ t (- a z))))
6.0ms	(/ t (- a z))
15.0ms	(* (- y z) (/ t (- a z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4978	1059
1	4978	1059

prune125.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0b

Counts

105 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* (- y z) (/ t (- a z))))
8.2b	(* (- y z) (/ t (- a z)))
8.2b	(* (- y z) (/ t (- a z)))
8.2b	(* (- y z) (/ t (- a z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
63×	`associate-r`
58×	`*-un-lft-identity`
48×	`times-frac`
34×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`flip3--` `flip--`
10×	`pow1`
8×	`frac-times` `associate-*l/`
6×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 152

Calls

4 calls:

8.0ms	(cbrt (* (- y z) (/ t (- a z))))
12.0ms	(* (- y z) (/ t (- a z)))
12.0ms	(* (- y z) (/ t (- a z)))
12.0ms	(* (- y z) (/ t (- a z)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (* (- y z) (/ t (- a z))))
15.0ms	(* (- y z) (/ t (- a z)))
15.0ms	(* (- y z) (/ t (- a z)))
20.0ms	(* (- y z) (/ t (- a z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5370	1820

prune170.0ms

Filtered

121 candidates to 164 candidates (-35.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	164	9	173

Merged error: 0b

Counts

173 → 9

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))

rewrite24.0ms

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:

7.0ms	(+ x (/ (* (- y z) t) (- a z)))
8.0ms	(* (- y z) t)
8.0ms	(/ (* (- y z) t) (- a z))

series45.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
14.0ms	(/ (* (- y z) t) (- a z))

simplify37.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5590	683

prune80.0ms

Filtered

49 candidates to 72 candidates (-46.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	2	4	6
Picked	0	1	1
Done	1	1	2
Total	74	7	81

Merged error: 0b

Counts

81 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
9.2b	(/ (- y z) (/ (- a z) t))

rewrite50.0ms

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:

23.0ms	(+ x (/ (- y z) (/ (- a z) t)))
5.0ms	(/ (- a z) t)
10.0ms	(/ (- y z) (/ (- a z) t))

series50.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ x (/ (- y z) (/ (- a z) t)))
6.0ms	(/ (- a z) t)
20.0ms	(/ (- y z) (/ (- a z) t))

simplify57.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5575	3054

prune136.0ms

Filtered

134 candidates to 197 candidates (-47.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	3	1	4
Picked	1	0	1
Done	0	2	2
Total	199	5	204

Merged error: 0b

Counts

204 → 5

regimes501.0ms

Accuracy

69% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch38.0ms

Steps

Iters	Range		Point
6	8.59877094582376e-104	5.417857169112039e-103	1.6989882279320282e-103
7	-0.0018069320207897011	-2.5922519464448812e-05	-0.001126421444708122

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	31
1	38	31

end0.0ms

sample593.0ms

Algorithm

intervals

Results

292.0ms	7998×	body	80	valid
28.0ms	726×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze944.0ms

sample26.0ms

simplify164.0ms

prune12.0ms

localize8.0ms

rewrite28.0ms

series46.0ms

simplify63.0ms

prune125.0ms

localize13.0ms

rewrite51.0ms

series141.0ms

simplify46.0ms

prune170.0ms

localize8.0ms

rewrite24.0ms

series45.0ms

simplify37.0ms

prune80.0ms

localize8.0ms

rewrite50.0ms

series50.0ms

simplify57.0ms

prune136.0ms

regimes501.0ms

bsearch38.0ms

simplify1.0ms

end0.0ms

sample593.0ms

Profiling