Details

analyze225.0ms

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%	87.4%	12.6%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
19.5%	49.1%	31.4%	8
24.6%	37.8%	37.6%	9
28.7%	33.7%	37.6%	10
33.3%	26%	40.7%	11
36.2%	19.9%	43.8%	12
38.6%	17.6%	43.8%	13
41.3%	13.3%	45.4%	14

sample23.0ms

Algorithm

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	25×	body	128	nan
0.0ms	1×	body	128	invalid

simplify161.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	4978	12
1	4978	12

prune1.0ms

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: 14.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.3b	(*.f64 x (log.f64 (/.f64 x y)))
13.8b	(log.f64 (/.f64 x y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod_binary64`
45×	`times-frac_binary64`
42×	`add-sqr-sqrt_binary64`
40×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
26×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
8×	`add-exp-log_binary64`
7×	`pow1_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`rem-log-exp_binary64` `log-pow_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-exp_binary64` `log-div_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

3 → 106

Calls

3 calls:

8.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
6.0ms	(*.f64 x (log.f64 (/.f64 x y)))
3.0ms	(log.f64 (/.f64 x y))

series225.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
74.0ms	(*.f64 x (log.f64 (/.f64 x y)))
49.0ms	(log.f64 (/.f64 x y))

simplify104.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4936	1773
1	4936	1773

prune91.0ms

Filtered

81 candidates to 115 candidates (-42.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	9	116

Merged error: 0.0b

Counts

116 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series596.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt.f64 y)
158.0ms	(cbrt.f64 y)
138.0ms	(cbrt.f64 x)
151.0ms	(cbrt.f64 x)

simplify65.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4938	340
1	4938	340

prune58.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.6b	(log.f64 (/.f64 (cbrt.f64 x) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64` `cbrt-prod_binary64`
7×	`add-exp-log_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`rem-log-exp_binary64`
1×	`log-pow_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
4.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))

series624.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt.f64 x)
147.0ms	(cbrt.f64 x)
143.0ms	(cbrt.f64 x)
188.0ms	(log.f64 (/.f64 (cbrt.f64 x) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4947	845
1	4947	845

prune78.0ms

Filtered

65 candidates to 78 candidates (-20.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (sqrt.f64 (/.f64 x y))))
0.3b	(*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x)
13.6b	(sqrt.f64 (/.f64 x y))
13.6b	(sqrt.f64 (/.f64 x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

52×	`sqrt-prod_binary64`
48×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
32×	`log-prod_binary64`
16×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
14×	`pow1_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`log-pow_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `sqrt-div_binary64` `*-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

8.0ms	(*.f64 x (log.f64 (sqrt.f64 (/.f64 x y))))
5.0ms	(*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x)
3.0ms	(sqrt.f64 (/.f64 x y))
3.0ms	(sqrt.f64 (/.f64 x y))

series451.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(*.f64 x (log.f64 (sqrt.f64 (/.f64 x y))))
153.0ms	(*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) x)
75.0ms	(sqrt.f64 (/.f64 x y))
68.0ms	(sqrt.f64 (/.f64 x y))

simplify74.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5055	2292

prune86.0ms

Filtered

98 candidates to 136 candidates (-38.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	136	9	145

Merged error: 0.0b

Counts

145 → 9

regimes77.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	34
1	28	34

end0.0ms

sample771.0ms

Algorithm

intervals

Results

347.0ms	8000×	body	128	valid
213.0ms	699×	body	128	nan
2.0ms	42×	body	128	invalid

Details

analyze225.0ms

sample23.0ms

simplify161.0ms

prune1.0ms

localize7.0ms

rewrite27.0ms

series225.0ms

simplify104.0ms

prune91.0ms

localize14.0ms

rewrite8.0ms

series596.0ms

simplify65.0ms

prune58.0ms

localize14.0ms

rewrite14.0ms

series624.0ms

simplify51.0ms

prune78.0ms

localize10.0ms

rewrite32.0ms

series451.0ms

simplify74.0ms

prune86.0ms

regimes77.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample771.0ms

Profiling