Details

analyze8.0ms

Algorithm: search

sample68.0ms

Algorithm

intervals

Results

54.0ms	256×	body	80	valid
3.0ms	259×	pre	80	true
1.0ms	3×	body	80	invalid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	90	61
1	389	58
2	2115	36
3	5001	36

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: 2.7b

Counts

2 → 2

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b	(sqrt PI)
2.6b	(exp (* (fabs x) (fabs x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
80×	`times-frac`
61×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
19×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
6×	`add-log-exp`
3×	`sqrt-prod`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`rem-sqrt-square` `exp-prod` `exp-to-pow` `sqrt-pow1` `pow1/2` `rem-exp-log`

Counts

4 → 157

Calls

4 calls:

10.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
10.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0ms	(sqrt PI)
2.0ms	(exp (* (fabs x) (fabs x)))

series30.0ms

Counts

4 → 10

Calls

4 calls:

10.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
10.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.0ms	(sqrt PI)
10.0ms	(exp (* (fabs x) (fabs x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	437	1271
1	2104	1091
2	5001	993

prune746.0ms

Filtered

109 candidates to 167 candidates (-53.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	154	13	167
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	155	14	169

Merged error: 0.9b

Counts

169 → 14

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b	(pow (exp (fabs x)) (fabs x))
1.0b	(sqrt PI)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
80×	`times-frac`
64×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
20×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`pow-pow` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `exp-prod` `sqrt-prod`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `sqr-pow`

Counts

4 → 167

Calls

4 calls:

10.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
10.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
3.0ms	(pow (exp (fabs x)) (fabs x))
1.0ms	(sqrt PI)

series52.0ms

Counts

4 → 10

Calls

4 calls:

10.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
10.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
33.0ms	(pow (exp (fabs x)) (fabs x))
0.0ms	(sqrt PI)

simplify65.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	413	1275
1	2257	1097
2	5001	1015

prune809.0ms

Filtered

115 candidates to 177 candidates (-53.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	166	11	177
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	171	20	191

Merged error: 0.5b

Counts

191 → 20

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
1.0b	(pow (exp (fabs x)) (fabs x))
1.0b	(sqrt PI)
2.7b	(log (pow (exp 1.0) (/ 1.0 (pow (fabs x) 2))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
40×	`times-frac`
38×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`pow1` `swap-sqr` `associate-r` `associate-l`
7×	`log-prod`
6×	`unpow-prod-down`
4×	`cbrt-undiv` `pow-pow` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `exp-prod` `rem-log-exp` `sqrt-prod`
2×	`pow-to-exp` `pow-exp` `sqr-pow`
1×	`pow2` `frac-times` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `log-pow` `*-commutative` `pow-prod-up`

Counts

4 → 118

Calls

4 calls:

10.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
3.0ms	(pow (exp (fabs x)) (fabs x))
1.0ms	(sqrt PI)
3.0ms	(log (pow (exp 1.0) (/ 1.0 (pow (fabs x) 2))))

series89.0ms

Counts

4 → 10

Calls

4 calls:

10.0ms	(* (/ 1.0 (fabs x)) (/ 1.0 (fabs x)))
28.0ms	(pow (exp (fabs x)) (fabs x))
0.0ms	(sqrt PI)
51.0ms	(log (pow (exp 1.0) (/ 1.0 (pow (fabs x) 2))))

simplify83.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	553	944
1	3177	802
2	5002	762

prune692.0ms

Filtered

88 candidates to 128 candidates (-45.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	128	20	148

Merged error: 0.5b

Counts

148 → 20

localize53.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (exp (fabs x)) (fabs x))
1.0b	(sqrt PI)
2.7b	(log (pow (exp 1.0) (/ 1.0 (pow (fabs x) 2))))
2.7b	(log (pow (exp 1.0) (/ 1.0 (pow (fabs x) 2))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod`
13×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`pow1` `add-exp-log` `rem-log-exp`
4×	`pow-pow` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `exp-prod` `pow-exp` `sqrt-prod` `sqr-pow`
2×	`log-pow`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 69

Calls

4 calls:

3.0ms	(pow (exp (fabs x)) (fabs x))
1.0ms	(sqrt PI)
3.0ms	(log (pow (exp 1.0) (/ 1.0 (pow (fabs x) 2))))
3.0ms	(log (pow (exp 1.0) (/ 1.0 (pow (fabs x) 2))))

series132.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(pow (exp (fabs x)) (fabs x))
0.0ms	(sqrt PI)
51.0ms	(log (pow (exp 1.0) (/ 1.0 (pow (fabs x) 2))))
54.0ms	(log (pow (exp 1.0) (/ 1.0 (pow (fabs x) 2))))

simplify37.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	229	552
1	901	480
2	5001	451

prune409.0ms

Filtered

59 candidates to 79 candidates (-33.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	79	20	99

Merged error: 0.5b

Counts

99 → 20

regimes349.0ms

Accuracy

0% (0.8b remaining)

Error of 1.4b against oracle of 0.6b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	79
1	59	79

end0.0ms

analyze9.0ms

Algorithm: search

sample1.8s

Algorithm

intervals

Results

1.6s	8000×	body	80	valid
92.0ms	8123×	pre	80	true
24.0ms	123×	body	80	invalid

Details

analyze8.0ms

sample68.0ms

simplify67.0ms

prune16.0ms

localize33.0ms

rewrite30.0ms

series30.0ms

simplify73.0ms

prune746.0ms

localize36.0ms

rewrite32.0ms

series52.0ms

simplify65.0ms

prune809.0ms

localize52.0ms

rewrite24.0ms

series89.0ms

simplify83.0ms

prune692.0ms

localize53.0ms

rewrite12.0ms

series132.0ms

simplify37.0ms

prune409.0ms

regimes349.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze9.0ms

sample1.8s

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