Details

analyze895.0ms

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
3.1%	71.7%	25.1%	9
4.7%	69.8%	25.5%	10
7%	66.9%	26.1%	11
10.9%	61.5%	27.6%	12
11.1%	47%	41.9%	13
12.8%	44.4%	42.8%	14

sample54.0ms

Algorithm

intervals

Results

18.0ms	294×	body	80	nan
17.0ms	256×	body	80	valid

simplify191.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (189.0ms)

Iter	Nodes	Cost
0	5207	19

prune16.0ms

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: 1.0b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* 27.0 (* z 2.0)))
1.0b	(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
3.4b	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
5.7b	(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
21×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
15×	`pow1`
11×	`associate-r`
9×	`cbrt-undiv` `div-exp` `sqrt-prod` `associate-/l*`
7×	`pow-prod-down`
6×	`associate-l`
4×	`associate-/r*` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`acos-asin` `div-sub` `associate-*r/` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

6.0ms	(* y (* 27.0 (* z 2.0)))
3.0ms	(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
9.0ms	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
11.0ms	(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* y (* 27.0 (* z 2.0)))
8.0ms	(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
13.0ms	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
22.0ms	(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

simplify44.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5025	1794

prune170.0ms

Filtered

81 candidates to 126 candidates (-55.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	126	2	128

Merged error: 0.0b

Counts

128 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
0.4b	(* y (* 27.0 (* z 2.0)))
3.4b	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
5.7b	(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log` `add-cbrt-cube`
40×	`prod-exp` `cbrt-unprod`
20×	`pow1`
16×	`add-sqr-sqrt` `associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-undiv` `times-frac` `div-exp`
10×	`pow-prod-down`
9×	`sqrt-prod`
6×	`associate-/l*`
5×	`associate-r`
4×	`add-log-exp`
3×	`*-commutative`
2×	`associate-*l/` `div-inv`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

11.0ms	(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
9.0ms	(* y (* 27.0 (* z 2.0)))
9.0ms	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
12.0ms	(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

series46.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
4.0ms	(* y (* 27.0 (* z 2.0)))
10.0ms	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
22.0ms	(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4997	1527
1	4997	1527

prune177.0ms

Filtered

70 candidates to 125 candidates (-78.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0)
0.2b	(/ (sqrt t) y)
2.0b	(/ (/ (sqrt t) y) (* 27.0 (* z 2.0)))
5.7b	(* x (* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

116×	`times-frac`
94×	`add-exp-log` `add-cbrt-cube`
63×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `*-un-lft-identity`
40×	`prod-exp` `cbrt-unprod`
39×	`sqrt-prod`
29×	`associate-l`
28×	`cbrt-undiv` `div-exp` `associate-/l*`
11×	`pow1`
6×	`div-inv`
4×	`associate-r` `pow-prod-down` `associate-/r*` `add-log-exp`
2×	`frac-2neg` `associate-l/` `clear-num` `-commutative`
1×	`associate-*r/` `associate-/l/` `unswap-sqr`

Counts

4 → 192

Calls

4 calls:

14.0ms	(* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0)
4.0ms	(/ (sqrt t) y)
10.0ms	(/ (/ (sqrt t) y) (* 27.0 (* z 2.0)))
14.0ms	(* x (* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0))

series53.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0)
10.0ms	(/ (sqrt t) y)
10.0ms	(/ (/ (sqrt t) y) (* 27.0 (* z 2.0)))
22.0ms	(* x (* (/ (/ (sqrt t) y) (* 27.0 (* z 2.0))) 3.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5027	2546

prune289.0ms

Filtered

130 candidates to 204 candidates (-56.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	204	3	207

Merged error: 0b

Counts

207 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ x (* y 27.0))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.4b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
4.7b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-exp-log` `add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
26×	`add-sqr-sqrt`
18×	`associate-l`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
9×	`associate-r`
8×	`pow1`
4×	`sqrt-prod` `div-inv` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `*-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 124

Calls

4 calls:

4.0ms	(/ x (* y 27.0))
5.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series39.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ x (* y 27.0))
11.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
19.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
6.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4996	1946
1	4996	1946

prune153.0ms

Filtered

82 candidates to 136 candidates (-65.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	136	3	139

Merged error: 0b

Counts

139 → 3

regimes709.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	23
1	25	23

end0.0ms

sample1.6s

Algorithm

intervals

Results

652.0ms	10242×	body	80	nan
538.0ms	8000×	body	80	valid

Details

analyze895.0ms

sample54.0ms

simplify191.0ms

prune16.0ms

localize14.0ms

rewrite34.0ms

series46.0ms

simplify44.0ms

prune170.0ms

localize16.0ms

rewrite46.0ms

series46.0ms

simplify55.0ms

prune177.0ms

localize16.0ms

rewrite54.0ms

series53.0ms

simplify55.0ms

prune289.0ms

localize14.0ms

rewrite35.0ms

series39.0ms

simplify37.0ms

prune153.0ms

regimes709.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

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