Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample101.0ms

Algorithm

intervals

Results

27.0ms	298×	body	80	nan
26.0ms	256×	body	80	valid
4.0ms	39×	body	80	invalid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune2.0ms

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: 0.1b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.0b	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`log-prod_binary64`
15×	`add-log-exp_binary64`
14×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-+l+_binary64` `sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 87

Calls

4 calls:

6.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
15.0ms	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))

series208.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
73.0ms	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
41.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
31.0ms	(*.f64 x (log.f64 y))

simplify172.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4969	1302
1	4969	1302

prune109.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod_binary64`
54×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
36×	`cbrt-prod_binary64`
27×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`associate-+l+_binary64`
12×	`associate-+r+_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`pow1/3_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

8.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
13.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series385.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
102.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
93.0ms	(cbrt.f64 y)
93.0ms	(cbrt.f64 y)

simplify78.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5300	1696

prune160.0ms

Filtered

93 candidates to 124 candidates (-33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)
0.4b	(*.f64 (log.f64 y) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 67

Calls

4 calls:

6.0ms	(*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)
8.0ms	(*.f64 (log.f64 y) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series295.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)
67.0ms	(*.f64 (log.f64 y) 2/3)
73.0ms	(cbrt.f64 (sqrt.f64 y))
72.0ms	(cbrt.f64 (sqrt.f64 y))

simplify82.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4897	832
1	4897	832

prune126.0ms

Filtered

57 candidates to 79 candidates (-38.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	79	6	85

Merged error: 0.0b

Counts

85 → 6

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-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 → 50

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))

series470.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt.f64 y)
108.0ms	(cbrt.f64 y)
132.0ms	(cbrt.f64 (cbrt.f64 y))
130.0ms	(cbrt.f64 (cbrt.f64 y))

simplify60.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5003	466

prune89.0ms

Filtered

52 candidates to 62 candidates (-19.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

regimes231.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	47
1	47	47

end0.0ms

sample2.7s

Algorithm

intervals

Results

798.0ms	9640×	body	80	nan
770.0ms	7995×	body	80	valid
121.0ms	1256×	body	80	invalid
2.0ms	3×	body	640	valid
0.0ms	2×	body	160	valid

Details

analyze1.3s

sample101.0ms

simplify105.0ms

prune2.0ms

localize19.0ms

rewrite37.0ms

series208.0ms

simplify172.0ms

prune109.0ms

localize24.0ms

rewrite29.0ms

series385.0ms

simplify78.0ms

prune160.0ms

localize32.0ms

rewrite21.0ms

series295.0ms

simplify82.0ms

prune126.0ms

localize45.0ms

rewrite7.0ms

series470.0ms

simplify60.0ms

prune89.0ms

regimes231.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample2.7s

Profiling