Details

sample101.0ms

Algorithm

intervals

Results

23.0ms	51×	body	1280	valid
17.0ms	290×	body	80	nan
12.0ms	185×	body	80	valid
7.0ms	11×	body	2560	valid
7.0ms	24×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	6×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	10
1	58	10
2	82	10
3	99	10
4	107	10
5	109	10
6	109	10

prune4.0ms

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

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
24.4b	(cos (- y (/ (* z t) 3.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
10.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(/ (* z t) 3.0)
9.0ms	(cos (- y (/ (* z t) 3.0)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ a (* b 3.0))
108.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms	(/ (* z t) 3.0)
37.0ms	(cos (- y (/ (* z t) 3.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	685	1511
1	2361	1261
2	5001	1258

prune518.0ms

Filtered

113 candidates to 72 candidates (63.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	88	25	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	25	114

Merged error: 15.8b

Counts

114 → 25

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
0.4b	(/ z (sqrt 3.0))
0.4b	(/ t (sqrt 3.0))
24.3b	(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
84×	`times-frac`
61×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
5×	`cos-sum`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`prod-diff`
2×	`frac-2neg` `clear-num`
1×	`cos-diff` `frac-times` `sub-neg` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 172

Calls

4 calls:

18.0ms	(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
5.0ms	(/ z (sqrt 3.0))
5.0ms	(/ t (sqrt 3.0))
4.0ms	(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

series455.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
57.0ms	(/ z (sqrt 3.0))
63.0ms	(/ t (sqrt 3.0))
183.0ms	(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	526	1345
1	2240	1251
2	5002	1197

prune1.0s

Filtered

184 candidates to 119 candidates (64.7%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	169	15	184
Fresh	8	16	24
Picked	1	0	1
Done	0	0	0
Total	178	31	209

Merged error: 15.7b

Counts

209 → 31

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (sqrt 3.0))
0.4b	(/ t (sqrt 3.0))
30.3b	(sin (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))
30.9b	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
12×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 100

Calls

4 calls:

5.0ms	(/ t (sqrt 3.0))
5.0ms	(/ t (sqrt 3.0))
2.0ms	(sin (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))
3.0ms	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

series293.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ t (sqrt 3.0))
56.0ms	(/ t (sqrt 3.0))
92.0ms	(sin (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))
84.0ms	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

simplify65.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	148	636
1	399	590
2	1634	568
3	5002	568

prune688.0ms

Filtered

112 candidates to 78 candidates (69.6%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	103	9	112
Fresh	3	27	30
Picked	1	0	1
Done	0	0	0
Total	107	36	143

Merged error: 15.6b

Counts

143 → 36

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ t (sqrt 3.0)))
0.6b	(cbrt (/ t (sqrt 3.0)))
30.8b	(sin (* (/ z (sqrt 3.0)) (* (* (cbrt (/ t (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))) (cbrt (/ t (sqrt 3.0))))))
30.9b	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
36×	`times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 84

Calls

4 calls:

4.0ms	(cbrt (/ t (sqrt 3.0)))
4.0ms	(cbrt (/ t (sqrt 3.0)))
6.0ms	(sin (* (/ z (sqrt 3.0)) (* (* (cbrt (/ t (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))) (cbrt (/ t (sqrt 3.0))))))
2.0ms	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

series919.0ms

Counts

4 → 12

Calls

4 calls:

359.0ms	(cbrt (/ t (sqrt 3.0)))
357.0ms	(cbrt (/ t (sqrt 3.0)))
125.0ms	(sin (* (/ z (sqrt 3.0)) (* (* (cbrt (/ t (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))) (cbrt (/ t (sqrt 3.0))))))
78.0ms	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

simplify68.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	197	866
1	406	804
2	1403	783
3	5002	759

prune576.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	2	33	35
Picked	1	0	1
Done	0	0	0
Total	94	38	132

Merged error: 15.5b

Counts

132 → 38

regimes4.0s

Accuracy

57.3% (1.8b remaining)

Error of 17.6b against oracle of 15.8b and baseline of 20.0b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	45
1	63	45

end0.0ms

sample2.9s

Algorithm

intervals

Results

625.0ms	1560×	body	1280	valid
548.0ms	9139×	body	80	nan
360.0ms	5614×	body	80	valid
266.0ms	388×	body	2560	valid
258.0ms	899×	body	640	valid
95.0ms	463×	body	320	valid
26.0ms	182×	body	160	valid