Details

analyze70.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms	252×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 30))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(*.f64 d1 (+.f64 d2 30))

simplify78.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5136	233

prune16.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 30))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 d2 30))
3.0ms	(sqrt.f64 (+.f64 d2 30))
7.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
12.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt.f64 (+.f64 d2 30))
13.0ms	(sqrt.f64 (+.f64 d2 30))
41.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
27.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

simplify86.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4983	1424
1	4983	1424

prune67.0ms

Filtered

65 candidates to 99 candidates (-52.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 d2 d2) 900)
6.0b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
8.5b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `times-frac_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

4.0ms	(-.f64 (*.f64 d2 d2) 900)
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
13.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

series131.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(-.f64 (*.f64 d2 d2) 900)
40.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
68.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

simplify68.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5825	1003

prune43.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	73	4	77

Merged error: 0b

Counts

77 → 4

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 d2 d2) (-.f64 (*.f64 30 30) (*.f64 d2 30)))

4.0b

(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))

15.6b

(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (*.f64 d2 d2) (-.f64 (*.f64 30 30) (*.f64 d2 30))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-r_binary64` `associate-*r/_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate-+r-_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `associate-+r+_binary64` `-commutative_binary64`

Counts

3 → 62

Calls

3 calls:

7.0ms

(+.f64 (*.f64 d2 d2) (-.f64 (*.f64 30 30) (*.f64 d2 30)))

9.0ms

(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))

16.0ms

(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (*.f64 d2 d2) (-.f64 (*.f64 30 30) (*.f64 d2 30))))

series207.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms

(+.f64 (*.f64 d2 d2) (-.f64 (*.f64 30 30) (*.f64 d2 30)))

66.0ms

(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))

132.0ms

(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (*.f64 d2 d2) (-.f64 (*.f64 30 30) (*.f64 d2 30))))

simplify74.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4944	1220
1	4944	1220

prune62.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	71	4	75

Merged error: 0b

Counts

75 → 4

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample365.0ms

Algorithm

intervals

Results

225.0ms	7857×	body	80	valid
8.0ms	67×	body	1280	valid
4.0ms	42×	body	640	valid
3.0ms	103×	body	80	invalid
2.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid

Details

analyze70.0ms

sample13.0ms

simplify12.0ms

prune3.0ms

localize3.0ms

rewrite7.0ms

series23.0ms

simplify78.0ms

prune16.0ms

localize6.0ms

rewrite29.0ms

series94.0ms

simplify86.0ms

prune67.0ms

localize7.0ms

rewrite27.0ms

series131.0ms

simplify68.0ms

prune43.0ms

localize16.0ms

rewrite34.0ms

series207.0ms

simplify74.0ms

prune62.0ms

regimes21.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample365.0ms

Profiling