Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	246×	body	80	valid
3.0ms	18×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	11×	body	320	valid
0.0ms	7×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	44	6
2	122	6
3	327	6
4	868	6
5	1727	6
6	3544	6
7	5001	6

prune2.0ms

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: 13.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.1b	(+ x (* (- y z) (/ (- t x) (- a z))))
4.2b	(* (- y z) (/ (- t x) (- a z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

7.0ms	(/ (- t x) (- a z))
3.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
16.0ms	(* (- y z) (/ (- t x) (- a z)))

series323.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- t x) (- a z))
149.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
125.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	473	869
1	2012	820
2	5001	820

prune298.0ms

Filtered

128 candidates to 88 candidates (68.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	117	11	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	12	129

Merged error: 4.1b

Counts

129 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.9b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
7.3b	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
52×	`times-frac`
46×	`associate-r`
37×	`cbrt-prod`
27×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`flip3--` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `add-log-exp` `unswap-sqr`
5×	`frac-times`
3×	`associate-r/` `associate-l/`
2×	`pow1/3` `div-inv`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 134

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
35.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series755.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (- a z))
152.0ms	(cbrt (- a z))
297.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
154.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	744	1831
1	3287	1663
2	5001	1576

prune415.0ms

Filtered

146 candidates to 104 candidates (71.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	142	16	158

Merged error: 4.1b

Counts

158 → 16

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
2.0b	(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
2.0b	(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
7.8b	(+ x (* (* (cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))) (cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))) (cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-div`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`cbrt-prod` `frac-times` `pow1/3` `associate-r/` `associate-l/`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 47

Calls

4 calls:

24.0ms	(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
21.0ms	(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
20.0ms	(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
3.0ms	(+ x (* (* (cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))) (cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))) (cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))))

series15.2s

Counts

4 → 12

Calls

4 calls:

5.0s	(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
4.9s	(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
4.9s	(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
340.0ms	(+ x (* (* (cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))) (cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))) (cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))))

simplify77.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	217	1405
1	602	1146
2	2574	957
3	5001	921

prune314.0ms

Filtered

59 candidates to 57 candidates (96.6%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	2	11	13
Picked	0	1	1
Done	0	2	2
Total	59	16	75

Merged error: 3.6b

Counts

75 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- t x))
0.6b	(cbrt (- t x))
4.2b	(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
8.7b	(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

82×	`frac-times`
76×	`cbrt-div`
56×	`flip3--` `flip--`
38×	`associate-*l/`
32×	`associate-*r/`
22×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`cbrt-prod`
7×	`add-cube-cbrt`
6×	`pow-prod-down` `add-log-exp`
5×	`associate-l`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

4 → 121

Calls

4 calls:

3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
25.0ms	(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
3.0ms	(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

series614.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (- t x))
149.0ms	(cbrt (- t x))
160.0ms	(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
153.0ms	(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	774	2047
1	2886	1874
2	5001	1853

prune387.0ms

Filtered

133 candidates to 93 candidates (69.9%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	11	12
Picked	0	1	1
Done	0	3	3
Total	133	16	149

Merged error: 3.6b

Counts

149 → 16

regimes448.0ms

Accuracy

60.2% (3.6b remaining)

Error of 7.2b against oracle of 3.6b and baseline of 12.6b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	30
1	37	30

end0.0ms

sample745.0ms

Algorithm

intervals

Results

288.0ms	7798×	body	80	valid
67.0ms	488×	body	640	valid
55.0ms	296×	body	1280	valid
50.0ms	414×	body	320	valid
15.0ms	219×	body	160	valid
4.0ms	19×	body	2560	valid

Details

sample27.0ms

simplify71.0ms

prune2.0ms

localize9.0ms

rewrite36.0ms

series323.0ms

simplify53.0ms

prune298.0ms

localize18.0ms

rewrite50.0ms

series755.0ms

simplify88.0ms

prune415.0ms

localize23.0ms

rewrite69.0ms

series15.2s

simplify77.0ms

prune314.0ms

localize18.0ms

rewrite41.0ms

series614.0ms

simplify80.0ms

prune387.0ms

regimes448.0ms

bsearch3.0ms

simplify2.0ms

end0.0ms

sample745.0ms

Profiling