Details

sample116.0ms

Algorithm

intervals

Results

24.0ms	336×	body	80	nan
23.0ms	51×	body	1280	valid
12.0ms	170×	body	80	valid
12.0ms	31×	body	640	valid
12.0ms	16×	body	2560	valid
2.0ms	10×	body	320	valid
2.0ms	13×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10

prune3.0ms

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: 21.6b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.8b	(cos (- y (/ (* z t) 3.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

4.0ms	(/ (* z t) 3.0)
4.0ms	(/ a (* b 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (* z t) 3.0)
17.0ms	(/ a (* b 3.0))
87.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
35.0ms	(cos (- y (/ (* z t) 3.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	404	507
1	1689	429
2	5001	426

prune301.0ms

Filtered

84 candidates to 58 candidates (69.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	64	20	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	20	85

Merged error: 17.9b

Counts

85 → 20

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ (/ a b) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.8b	(cos (- y (/ (* z t) 3.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
49×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/l*`
9×	`pow1`
6×	`associate-/r*` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 121

Calls

4 calls:

4.0ms	(/ (* z t) 3.0)
6.0ms	(/ (/ a b) 3.0)
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (* z t) 3.0)
18.0ms	(/ (/ a b) 3.0)
87.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
34.0ms	(cos (- y (/ (* z t) 3.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	623	872
1	2563	791
2	5002	791

prune427.0ms

Filtered

133 candidates to 101 candidates (75.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	133	20	153

Merged error: 17.9b

Counts

153 → 20

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(* (/ 1 b) (/ a 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.8b	(cos (- y (/ (* z t) 3.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`add-exp-log`
28×	`times-frac`
26×	`add-cbrt-cube`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp`
11×	`pow1`
10×	`div-exp`
8×	`cbrt-unprod`
6×	`cbrt-undiv` `unswap-sqr`
4×	`pow-prod-down` `add-log-exp`
3×	`cos-diff` `associate-/r*` `div-inv`
2×	`rec-exp` `cos-sum` `1-exp` `*-commutative`
1×	`distribute-rgt-in` `frac-times` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num` `associate-/l*`

Counts

4 → 107

Calls

4 calls:

4.0ms	(/ (* z t) 3.0)
13.0ms	(* (/ 1 b) (/ a 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (* z t) 3.0)
16.0ms	(* (/ 1 b) (/ a 3.0))
91.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
32.0ms	(cos (- y (/ (* z t) 3.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	626	718
1	2858	605
2	5001	599

prune581.0ms

Filtered

119 candidates to 81 candidates (68.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	119	20	139

Merged error: 17.9b

Counts

139 → 20

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (/ t 3.0))
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
25.9b	(cos (- y (* z (/ t 3.0))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`times-frac`
11×	`pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `add-log-exp`
3×	`cbrt-undiv` `cos-diff` `div-exp` `associate-/l*`
2×	`cos-sum` `*-commutative` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `clear-num` `associate-/r`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* z (/ t 3.0))
4.0ms	(/ a (* b 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
3.0ms	(cos (- y (* z (/ t 3.0))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* z (/ t 3.0))
17.0ms	(/ a (* b 3.0))
87.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
35.0ms	(cos (- y (* z (/ t 3.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	461	555
1	1944	477
2	5002	474

prune232.0ms

Filtered

95 candidates to 62 candidates (65.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	86	9	95
Fresh	8	10	18
Picked	1	0	1
Done	0	1	1
Total	95	20	115

Merged error: 17.7b

Counts

115 → 20

regimes1.7s

Accuracy

40.6% (2.5b remaining)

Error of 18.4b against oracle of 15.9b and baseline of 20.1b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	31
1	48	31

end0.0ms

sample3.2s

Algorithm

intervals

Results

678.0ms	1469×	body	1280	valid
668.0ms	9189×	body	80	nan
432.0ms	5695×	body	80	valid
323.0ms	990×	body	640	valid
278.0ms	377×	body	2560	valid
101.0ms	420×	body	320	valid
34.0ms	207×	body	160	valid

Details

sample116.0ms

simplify11.0ms

prune3.0ms

localize16.0ms

rewrite21.0ms

series156.0ms

simplify42.0ms

prune301.0ms

localize16.0ms

rewrite25.0ms

series156.0ms

simplify63.0ms

prune427.0ms

localize17.0ms

rewrite32.0ms

series155.0ms

simplify69.0ms

prune581.0ms

localize16.0ms

rewrite21.0ms

series156.0ms

simplify51.0ms

prune232.0ms

regimes1.7s

bsearch2.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling