Details

sample871.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 74.946211%

Results

9.0ms	239×	body	80	valid
3.0ms	18×	body	640	valid
1.0ms	12×	body	160	valid
1.0ms	5×	body	1280	valid
1.0ms	7×	body	320	valid
0.0ms	1×	body	2560	valid

simplify73.0ms

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

prune4.0ms

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: 13.8b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.3b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.5b	(* (- y z) (/ (- t x) (- a z)))

rewrite32.0ms

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)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (- t x) (- a z))
51.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
34.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	473	869
1	2012	820
2	5003	820

prune176.0ms

Filtered

88 candidates to 128 candidates (-45.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	116	12	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	13	129

Merged error: 2.6b

Counts

129 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
1.5b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
6.9b	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite52.0ms

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))
34.0ms	(* (/ (- 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)))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a z))
25.0ms	(cbrt (- a z))
55.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
48.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify84.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	752	1839
1	3320	1671
2	5001	1580

prune172.0ms

Filtered

103 candidates to 146 candidates (-41.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	147	12	159

Merged error: 2.6b

Counts

159 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (cbrt (- a z)))
1.1b	(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
6.7b	(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

182×	`times-frac`
167×	`add-sqr-sqrt`
123×	`cbrt-prod`
104×	`*-un-lft-identity`
80×	`associate-l`
78×	`cbrt-div`
61×	`associate-r`
60×	`add-cube-cbrt`
42×	`associate-/r/`
36×	`add-exp-log`
33×	`flip3--` `flip--`
22×	`add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
21×	`frac-times`
20×	`unswap-sqr`
14×	`cbrt-undiv` `div-exp`
11×	`associate-r/` `associate-l/`
10×	`prod-exp` `cbrt-unprod`
6×	`pow1` `div-inv` `add-log-exp`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 233

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (cbrt (- a z)))
92.0ms	(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
3.0ms	(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a z))
26.0ms	(cbrt (cbrt (- a z)))
53.0ms	(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
53.0ms	(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1414	5018
1	5001	4777

prune305.0ms

Filtered

204 candidates to 245 candidates (-20.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	0	9	9
Picked	0	1	1
Done	1	1	2
Total	245	12	257

Merged error: 2.6b

Counts

257 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- a z)))
0.6b	(cbrt (cbrt (- a z)))
0.6b	(cbrt (cbrt (- a z)))
7.4b	(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (cbrt (cbrt (- a z)))) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (cbrt (- a z)))) (/ (- t x) (cbrt (cbrt (- a z)))))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-div`
10×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 65

Calls

4 calls:

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

series126.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (cbrt (- a z)))
25.0ms	(cbrt (cbrt (- a z)))
25.0ms	(cbrt (cbrt (- a z)))
50.0ms	(+ x (* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (cbrt (cbrt (- a z)))) (* (/ (/ (cbrt (- y z)) (cbrt (- a z))) (cbrt (cbrt (- a z)))) (/ (- t x) (cbrt (cbrt (- a z)))))))

simplify34.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	290	998
1	885	918
2	5001	888

prune90.0ms

Filtered

65 candidates to 77 candidates (-18.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	76	13	89

Merged error: 2.6b

Counts

89 → 13

regimes756.0ms

Accuracy

58.8% (3.2b remaining)

Error of 7.4b against oracle of 4.2b and baseline of 12.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	68
1	51	68

end0.0ms

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 74.946211%

Results

319.0ms	7804×	body	80	valid
73.0ms	486×	body	640	valid
49.0ms	411×	body	320	valid
47.0ms	262×	body	1280	valid
20.0ms	235×	body	160	valid
4.0ms	19×	body	2560	valid

Details

sample871.0ms

simplify73.0ms

prune4.0ms

localize12.0ms

rewrite32.0ms

series97.0ms

simplify52.0ms

prune176.0ms

localize13.0ms

rewrite52.0ms

series154.0ms

simplify84.0ms

prune172.0ms

localize17.0ms

rewrite117.0ms

series159.0ms

simplify63.0ms

prune305.0ms

localize22.0ms

rewrite15.0ms

series126.0ms

simplify34.0ms

prune90.0ms

regimes756.0ms

bsearch2.0ms

simplify2.0ms

end0.0ms

sample1.8s

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