Details

analyze3.0ms

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

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

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: 0.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b	(*.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))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify61.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4860	169
1	4860	169

prune28.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	23	5	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.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)

series122.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
43.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
17.0ms	(cbrt.f64 x)
20.0ms	(cbrt.f64 x)

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4876	606
1	4876	606

prune84.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.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)
5.0b	(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)

series130.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(*.f64 x (log.f64 (pow.f64 x 1/3)))
58.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
17.0ms	(cbrt.f64 x)
15.0ms	(pow.f64 x 1/3)

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4951	610
1	4951	610

prune80.0ms

Filtered

64 candidates to 100 candidates (-56.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	101	9	110

Merged error: 0b

Counts

110 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 x)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
5.0b	(pow.f64 x 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`cbrt-prod_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
8×	`pow1_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `unpow-prod-down_binary64`
2×	`pow1/3_binary64` `log-pow_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-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 → 85

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
10.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
2.0ms	(pow.f64 x 1/3)

series150.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
57.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
17.0ms	(cbrt.f64 x)
15.0ms	(pow.f64 x 1/3)

simplify59.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5118	624

prune62.0ms

Filtered

60 candidates to 97 candidates (-61.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	97	9	106

Merged error: 0b

Counts

106 → 9

regimes82.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

end0.0ms

sample334.0ms

Algorithm

intervals

Results

232.0ms	8000×	body	80	valid
0.0ms	3×	body	80	nan

Details

analyze3.0ms

sample11.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series12.0ms

simplify61.0ms

prune28.0ms

localize9.0ms

rewrite18.0ms

series122.0ms

simplify54.0ms

prune84.0ms

localize16.0ms

rewrite20.0ms

series130.0ms

simplify59.0ms

prune80.0ms

localize16.0ms

rewrite22.0ms

series150.0ms

simplify59.0ms

prune62.0ms

regimes82.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample334.0ms

Profiling