Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	25%	37.5%	4
43.7%	12.5%	43.8%	5
46.9%	6.2%	46.9%	6
48.4%	3.1%	48.5%	7
49.2%	1.6%	49.2%	8
49.6%	0.8%	49.6%	9
49.6%	0.4%	50%	10
49.7%	0.2%	50.1%	11
49.7%	0.1%	50.2%	12
49.7%	0%	50.2%	13
49.7%	0%	50.2%	14

sample10.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

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: 0.2b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(*.f64 x (log.f64 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

4.0ms

(*.f64 x (log.f64 x))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(*.f64 x (log.f64 x))

simplify94.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4827	265
1	4827	265

prune20.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	8	29

Merged error: 0.0b

Counts

29 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 x)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite18.0ms

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:

5.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series541.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
189.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
87.0ms	(cbrt.f64 x)
86.0ms	(cbrt.f64 x)

simplify92.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4880	988
1	4880	988

prune59.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	91	7	98

Merged error: 0b

Counts

98 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (pow.f64 x 1/3)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
0.6b	(cbrt.f64 x)
5.1b	(pow.f64 x 1/3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`unpow-prod-down_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
5×	`sqr-pow_binary64`
4×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 (pow.f64 x 1/3)))
9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
1.0ms	(cbrt.f64 x)
2.0ms	(pow.f64 x 1/3)

series596.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(*.f64 x (log.f64 (pow.f64 x 1/3)))
251.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
86.0ms	(cbrt.f64 x)
80.0ms	(pow.f64 x 1/3)

simplify118.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4965	964
1	4965	964

prune63.0ms

Filtered

66 candidates to 100 candidates (-51.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Merged error: 0b

Counts

107 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
9×	`*-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 → 47

Calls

4 calls:

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

series369.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt.f64 (cbrt.f64 x))
87.0ms	(cbrt.f64 x)
83.0ms	(cbrt.f64 x)
88.0ms	(cbrt.f64 x)

simplify47.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5003	391

prune43.0ms

Filtered

48 candidates to 59 candidates (-22.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	59	7	66

Merged error: 0b

Counts

66 → 7

regimes30.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

end0.0ms

sample287.0ms

Algorithm

intervals

Results

194.0ms	8000×	body	80	valid
0.0ms	2×	body	80	nan

Details

analyze4.0ms

sample10.0ms

simplify17.0ms

prune1.0ms

localize4.0ms

rewrite5.0ms

series64.0ms

simplify94.0ms

prune20.0ms

localize9.0ms

rewrite18.0ms

series541.0ms

simplify92.0ms

prune59.0ms

localize17.0ms

rewrite20.0ms

series596.0ms

simplify118.0ms

prune63.0ms

localize14.0ms

rewrite6.0ms

series369.0ms

simplify47.0ms

prune43.0ms

regimes30.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample287.0ms

Profiling