Details

analyze396.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	45×	body	80	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5021	11

prune10.0ms

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: 9.4b

Counts

2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ z 1.0))
0.1b	(* z (* z (+ z 1.0)))
6.7b	(/ y (* z (* z (+ z 1.0))))
7.4b	(* x (/ y (* z (* z (+ z 1.0)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`associate-*r/`
14×	`-un-lft-identity` `associate-r*` `prod-exp` `cbrt-unprod`
13×	`pow1`
12×	`add-cube-cbrt`
9×	`associate-l`
6×	`cbrt-undiv` `times-frac` `div-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
3×	`-commutative` `associate-/l`
2×	`div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

9.0ms	(* z (+ z 1.0))
7.0ms	(* z (* z (+ z 1.0)))
8.0ms	(/ y (* z (* z (+ z 1.0))))
12.0ms	(* x (/ y (* z (* z (+ z 1.0)))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* z (+ z 1.0))
5.0ms	(* z (* z (+ z 1.0)))
9.0ms	(/ y (* z (* z (+ z 1.0))))
15.0ms	(* x (/ y (* z (* z (+ z 1.0)))))

simplify73.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4967	1121
1	4967	1121

prune144.0ms

Filtered

72 candidates to 115 candidates (-59.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	108	9	117

Merged error: 1.3b

Counts

117 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.0b	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (cbrt y) (* z (+ z 1.0))))
1.7b	(* x (* (cbrt y) (/ (cbrt y) z)))
2.9b	(/ (cbrt y) (* z (+ z 1.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-exp-log`
50×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
18×	`pow1`
14×	`cbrt-undiv` `div-exp`
13×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`cbrt-prod` `times-frac`
11×	`associate-*r/`
9×	`pow-prod-down`
6×	`associate-/l*`
4×	`associate-l` `associate-/r/` `add-log-exp`
2×	`flip3-+` `*-commutative` `flip-+` `div-inv`
1×	`frac-times` `frac-2neg` `pow1/3` `associate-l/` `clear-num` `associate-/r`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt y)
16.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (cbrt y) (* z (+ z 1.0))))
7.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))
7.0ms	(/ (cbrt y) (* z (+ z 1.0)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
18.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (cbrt y) (* z (+ z 1.0))))
29.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))
26.0ms	(/ (cbrt y) (* z (+ z 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4986	1295
1	4986	1295

prune155.0ms

Filtered

76 candidates to 124 candidates (-63.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	119	5	124
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	122	11	133

Merged error: 0.5b

Counts

133 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.0b	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (/ (cbrt y) z) (+ z 1.0)))
1.7b	(* x (* (cbrt y) (/ (cbrt y) z)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
126×	`*-un-lft-identity`
95×	`associate-r`
82×	`add-sqr-sqrt` `add-cube-cbrt`
67×	`add-exp-log`
51×	`add-cbrt-cube`
42×	`cbrt-prod`
32×	`prod-exp` `cbrt-unprod`
22×	`distribute-lft-out`
18×	`pow1`
16×	`cbrt-undiv` `div-exp`
9×	`pow-prod-down`
7×	`associate-*r/`
5×	`div-inv`
4×	`associate-l` `add-log-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`frac-times` `flip3-+` `associate-*l/` `flip-+`

Counts

4 → 176

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
30.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (/ (cbrt y) z) (+ z 1.0)))
8.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
22.0ms	(cbrt y)
23.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (/ (cbrt y) z) (+ z 1.0)))
29.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))

simplify91.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5108	2399

prune227.0ms

Filtered

108 candidates to 188 candidates (-74.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	186	13	199

Merged error: 0.3b

Counts

199 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt y) (cbrt y)))
1.0b	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (cbrt (* (cbrt y) (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0))))
1.7b	(* x (* (cbrt y) (/ (cbrt y) z)))
2.5b	(/ (cbrt (* (cbrt y) (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-exp-log`
67×	`add-cbrt-cube`
51×	`prod-exp` `cbrt-unprod`
25×	`cbrt-undiv` `div-exp`
18×	`pow1`
14×	`associate-r`
11×	`associate-*r/`
10×	`associate-/r/`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
8×	`times-frac`
5×	`frac-times`
4×	`cbrt-prod` `flip3-+` `associate-l` `flip-+` `associate-/l*` `add-log-exp`
3×	`associate-*l/`
2×	`*-commutative` `div-inv`
1×	`frac-2neg` `pow1/3` `clear-num` `associate-/r*`

Counts

4 → 120

Calls

4 calls:

4.0ms	(cbrt (* (cbrt y) (cbrt y)))
20.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (cbrt (* (cbrt y) (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0))))
8.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))
14.0ms	(/ (cbrt (* (cbrt y) (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (* (cbrt y) (cbrt y)))
20.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (cbrt (* (cbrt y) (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0))))
32.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))
25.0ms	(/ (cbrt (* (cbrt y) (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0)))

simplify81.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4982	2600
1	4982	2600

prune131.0ms

Filtered

90 candidates to 132 candidates (-46.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	132	13	145

Merged error: 0.0b

Counts

145 → 13

regimes499.0ms

Accuracy

0% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	15	18

end0.0ms

analyze388.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

sample516.0ms

Algorithm

intervals

Results

275.0ms	8000×	body	80	valid
53.0ms	1553×	body	80	invalid

Details

analyze396.0ms

sample20.0ms

simplify58.0ms

prune10.0ms

localize8.0ms

rewrite39.0ms

series33.0ms

simplify73.0ms

prune144.0ms

localize12.0ms

rewrite35.0ms

series96.0ms

simplify77.0ms

prune155.0ms

localize11.0ms

rewrite52.0ms

series96.0ms

simplify91.0ms

prune227.0ms

localize18.0ms

rewrite51.0ms

series113.0ms

simplify81.0ms

prune131.0ms

regimes499.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze388.0ms

sample516.0ms

Profiling