Details

analyze33.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

sample21.0ms

Algorithm

intervals

Results

7.0ms	121×	body	80	invalid
6.0ms	256×	body	80	valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5100	6

prune4.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (exp.f64 (.f64 y y)))
0.0b	(exp.f64 (*.f64 y y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

8.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	(exp.f64 (*.f64 y y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(.f64 x (exp.f64 (.f64 y y)))
4.0ms	(exp.f64 (*.f64 y y))

simplify62.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4947	208
1	4947	208

prune35.0ms

Filtered

25 candidates to 34 candidates (-36.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow.f64 (exp.f64 y) y)
0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64` `unpow-prod-down_binary64`
6×	`add-exp-log_binary64`
4×	`pow-pow_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `sqr-pow_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `exp-prod_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
1×	`cbrt-unprod_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

4.0ms	(pow.f64 (exp.f64 y) y)
6.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))

series19.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(pow.f64 (exp.f64 y) y)
14.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4956	340
1	4956	340

prune33.0ms

Filtered

30 candidates to 51 candidates (-70.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	52	2	54

Merged error: 0.0b

Counts

54 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 y) y)
0.0b	(*.f64 x (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3)))
0.0b	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3))
0.0b	(pow.f64 (pow.f64 (exp.f64 y) y) 3)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod_binary64`
47×	`unpow-prod-down_binary64`
39×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cube-prod_binary64`
23×	`associate-r_binary64`
13×	`sqr-pow_binary64`
9×	`unswap-sqr_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`pow-unpow_binary64` `add-cbrt-cube_binary64`
5×	`pow-pow_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow-to-exp_binary64` `associate-l_binary64` `unpow3_binary64` `exp-prod_binary64` `cube-mult_binary64`
1×	`pow-prod-down_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 128

Calls

4 calls:

3.0ms	(pow.f64 (exp.f64 y) y)
10.0ms	(*.f64 x (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3)))
4.0ms	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3))
4.0ms	(pow.f64 (pow.f64 (exp.f64 y) y) 3)

series38.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(pow.f64 (exp.f64 y) y)
14.0ms	(*.f64 x (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3)))
5.0ms	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 3))
12.0ms	(pow.f64 (pow.f64 (exp.f64 y) y) 3)

simplify52.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5143	1087

prune80.0ms

Filtered

73 candidates to 140 candidates (-91.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	138	4	142

Merged error: 0.0b

Counts

142 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 y y))) x) (cbrt.f64 (pow.f64 (exp.f64 y) y)))
0.0b	(pow.f64 (exp.f64 y) y)
0.0b	(pow.f64 (exp.f64 y) (+.f64 y y))
0.0b	(cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 y y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`pow-unpow_binary64` `cbrt-prod_binary64`
12×	`unpow-prod-down_binary64`
11×	`pow1_binary64`
10×	`associate-r_binary64`
9×	`add-exp-log_binary64`
8×	`pow-pow_binary64`
6×	`add-cbrt-cube_binary64` `exp-prod_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-rgt-out_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `unpow-prod-up_binary64` `pow-exp_binary64`
1×	`count-2_binary64` `distribute-lft1-in_binary64` `pow1/3_binary64` `associate-l_binary64` `distribute-rgt1-in_binary64` `*-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

10.0ms	(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 y y))) x) (cbrt.f64 (pow.f64 (exp.f64 y) y)))
3.0ms	(pow.f64 (exp.f64 y) y)
8.0ms	(pow.f64 (exp.f64 y) (+.f64 y y))
3.0ms	(cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 y y)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 y y))) x) (cbrt.f64 (pow.f64 (exp.f64 y) y)))
5.0ms	(pow.f64 (exp.f64 y) y)
6.0ms	(pow.f64 (exp.f64 y) (+.f64 y y))
23.0ms	(cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 y y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4874	806
1	4874	806

prune65.0ms

Filtered

66 candidates to 103 candidates (-56.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	104	3	107

Merged error: 0b

Counts

107 → 3

regimes66.0ms

Accuracy

0% (0.0b 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	17	16
1	17	16

end0.0ms

sample466.0ms

Algorithm

intervals

Results

195.0ms	8000×	body	80	valid
92.0ms	4091×	body	80	invalid

Details

analyze33.0ms

sample21.0ms

simplify103.0ms

prune4.0ms

localize7.0ms

rewrite12.0ms

series16.0ms

simplify62.0ms

prune35.0ms

localize5.0ms

rewrite10.0ms

series19.0ms

simplify63.0ms

prune33.0ms

localize7.0ms

rewrite25.0ms

series38.0ms

simplify52.0ms

prune80.0ms

localize11.0ms

rewrite27.0ms

series85.0ms

simplify72.0ms

prune65.0ms

regimes66.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample466.0ms

Profiling