Details

analyze1.1s

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

sample83.0ms

Algorithm

intervals

Results

22.0ms	329×	body	128	nan
21.0ms	256×	body	128	valid
4.0ms	46×	body	128	invalid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

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

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.2b	(*.f64 x (log.f64 y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `log-prod_binary64`
14×	`add-cube-cbrt_binary64`
11×	`add-log-exp_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`
4×	`sum-log_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` `distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 85

Calls

4 calls:

5.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
7.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))

series282.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
78.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
76.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
51.0ms	(*.f64 x (log.f64 y))

simplify68.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4951	1209
1	4951	1209

prune88.0ms

Filtered

63 candidates to 97 candidates (-54.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64` `cbrt-prod_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-*l/_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 y))
13.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series639.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(*.f64 x (log.f64 y))
249.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
167.0ms	(cbrt.f64 c)
170.0ms	(cbrt.f64 c)

simplify73.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4928	1104
1	4928	1104

prune110.0ms

Filtered

69 candidates to 87 candidates (-26.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	88	4	92

Merged error: 0.0b

Counts

92 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 (cbrt.f64 c))
0.6b	(cbrt.f64 (cbrt.f64 c))

rewrite12.0ms

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

series719.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt.f64 c)
150.0ms	(cbrt.f64 c)
201.0ms	(cbrt.f64 (cbrt.f64 c))
209.0ms	(cbrt.f64 (cbrt.f64 c))

simplify40.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5002	466

prune86.0ms

Filtered

52 candidates to 62 candidates (-19.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	62	4	66

Merged error: 0.0b

Counts

66 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series586.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
140.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
155.0ms	(cbrt.f64 y)
171.0ms	(cbrt.f64 y)

simplify92.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4884	954
1	4884	954

prune96.0ms

Filtered

68 candidates to 90 candidates (-32.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

regimes204.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	61
1	51	61

end0.0ms

sample2.4s

Algorithm

intervals

Results

702.0ms	9728×	body	128	nan
674.0ms	7996×	body	128	valid
107.0ms	1250×	body	128	invalid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Details

analyze1.1s

sample83.0ms

simplify61.0ms

prune2.0ms

localize22.0ms

rewrite34.0ms

series282.0ms

simplify68.0ms

prune88.0ms

localize23.0ms

rewrite29.0ms

series639.0ms

simplify73.0ms

prune110.0ms

localize31.0ms

rewrite12.0ms

series719.0ms

simplify40.0ms

prune86.0ms

localize28.0ms

rewrite27.0ms

series586.0ms

simplify92.0ms

prune96.0ms

regimes204.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling