Details

analyze71.0ms

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

sample15.0ms

Algorithm

intervals

Results

7.0ms	252×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	80	invalid
0.0ms	1×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune8.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 20.0 (+.f64 10.0 d2))
0.0b	(*.f64 d1 (+.f64 20.0 (+.f64 10.0 d2)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(+.f64 20.0 (+.f64 10.0 d2))
8.0ms	(*.f64 d1 (+.f64 20.0 (+.f64 10.0 d2)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+.f64 20.0 (+.f64 10.0 d2))
10.0ms	(*.f64 d1 (+.f64 20.0 (+.f64 10.0 d2)))

simplify51.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5038	334

prune46.0ms

Filtered

28 candidates to 45 candidates (-60.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 20.0 20.0) (.f64 (+.f64 10.0 d2) (+.f64 10.0 d2)))
0.0b	(*.f64 (+.f64 10.0 d2) (+.f64 10.0 d2))
5.0b	(.f64 d1 (-.f64 (.f64 20.0 20.0) (*.f64 (+.f64 10.0 d2) (+.f64 10.0 d2))))
7.9b	(/.f64 (.f64 d1 (-.f64 (.f64 20.0 20.0) (*.f64 (+.f64 10.0 d2) (+.f64 10.0 d2)))) (-.f64 20.0 (+.f64 10.0 d2)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `associate-r_binary64`
7×	`associate-l_binary64`
6×	`flip3-+_binary64` `associate-/r_binary64` `add-log-exp_binary64` `swap-sqr_binary64` `associate-r/_binary64` `times-frac_binary64` `flip-+_binary64`
4×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `frac-times_binary64`
3×	`sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate--r+_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

4.0ms	(-.f64 (.f64 20.0 20.0) (.f64 (+.f64 10.0 d2) (+.f64 10.0 d2)))
9.0ms	(*.f64 (+.f64 10.0 d2) (+.f64 10.0 d2))
7.0ms	(.f64 d1 (-.f64 (.f64 20.0 20.0) (*.f64 (+.f64 10.0 d2) (+.f64 10.0 d2))))
12.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 20.0 20.0) (*.f64 (+.f64 10.0 d2) (+.f64 10.0 d2)))) (-.f64 20.0 (+.f64 10.0 d2)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(-.f64 (.f64 20.0 20.0) (.f64 (+.f64 10.0 d2) (+.f64 10.0 d2)))
2.0ms	(*.f64 (+.f64 10.0 d2) (+.f64 10.0 d2))
15.0ms	(.f64 d1 (-.f64 (.f64 20.0 20.0) (*.f64 (+.f64 10.0 d2) (+.f64 10.0 d2))))
34.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 20.0 20.0) (*.f64 (+.f64 10.0 d2) (+.f64 10.0 d2)))) (-.f64 20.0 (+.f64 10.0 d2)))

simplify51.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5001	1317

prune121.0ms

Filtered

79 candidates to 120 candidates (-51.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	120	4	124

Merged error: 0b

Counts

124 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 20.0 (+.f64 10.0 d2))
0.0b	(*.f64 d1 (+.f64 20.0 (+.f64 10.0 d2)))
0.2b	(.f64 (.f64 d1 (+.f64 20.0 (+.f64 10.0 d2))) (-.f64 20.0 (+.f64 10.0 d2)))
7.9b	(/.f64 (.f64 (.f64 d1 (+.f64 20.0 (+.f64 10.0 d2))) (-.f64 20.0 (+.f64 10.0 d2))) (-.f64 20.0 (+.f64 10.0 d2)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-*r/_binary64`
17×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64` `associate-r_binary64`
9×	`add-log-exp_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64`
8×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `frac-times_binary64`
7×	`flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
6×	`associate-/r*_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
4×	`pow-prod-down_binary64` `associate-l_binary64` `associate-*l/_binary64`
3×	`cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64` `sum-log_binary64`
2×	`sub-neg_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

4 → 109

Calls

4 calls:

6.0ms	(+.f64 20.0 (+.f64 10.0 d2))
8.0ms	(*.f64 d1 (+.f64 20.0 (+.f64 10.0 d2)))
17.0ms	(.f64 (.f64 d1 (+.f64 20.0 (+.f64 10.0 d2))) (-.f64 20.0 (+.f64 10.0 d2)))
22.0ms	(/.f64 (.f64 (.f64 d1 (+.f64 20.0 (+.f64 10.0 d2))) (-.f64 20.0 (+.f64 10.0 d2))) (-.f64 20.0 (+.f64 10.0 d2)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+.f64 20.0 (+.f64 10.0 d2))
7.0ms	(*.f64 d1 (+.f64 20.0 (+.f64 10.0 d2)))
11.0ms	(.f64 (.f64 d1 (+.f64 20.0 (+.f64 10.0 d2))) (-.f64 20.0 (+.f64 10.0 d2)))
7.0ms	(/.f64 (.f64 (.f64 d1 (+.f64 20.0 (+.f64 10.0 d2))) (-.f64 20.0 (+.f64 10.0 d2))) (-.f64 20.0 (+.f64 10.0 d2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4947	1498
1	4947	1498

prune122.0ms

Filtered

78 candidates to 121 candidates (-55.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Merged error: 0b

Counts

125 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 20.0 (+.f64 10.0 d2))
0.0b	(+.f64 20.0 (+.f64 10.0 d2))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 20.0 (+.f64 10.0 d2))))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 20.0 (+.f64 10.0 d2)))) (sqrt.f64 (+.f64 20.0 (+.f64 10.0 d2))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

6.0ms	(+.f64 20.0 (+.f64 10.0 d2))
6.0ms	(+.f64 20.0 (+.f64 10.0 d2))
10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 20.0 (+.f64 10.0 d2))))
17.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 20.0 (+.f64 10.0 d2)))) (sqrt.f64 (+.f64 20.0 (+.f64 10.0 d2))))

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+.f64 20.0 (+.f64 10.0 d2))
3.0ms	(+.f64 20.0 (+.f64 10.0 d2))
12.0ms	(*.f64 d1 (sqrt.f64 (+.f64 20.0 (+.f64 10.0 d2))))
7.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 20.0 (+.f64 10.0 d2)))) (sqrt.f64 (+.f64 20.0 (+.f64 10.0 d2))))

simplify40.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4969	1043
1	4969	1043

prune82.0ms

Filtered

60 candidates to 99 candidates (-65.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	99	4	103

Merged error: 0b

Counts

103 → 4

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample383.0ms

Algorithm

intervals

Results

233.0ms	7860×	body	80	valid
8.0ms	47×	body	640	valid
7.0ms	56×	body	1280	valid
3.0ms	100×	body	80	invalid
2.0ms	22×	body	320	valid
1.0ms	15×	body	160	valid

Details

analyze71.0ms

sample15.0ms

simplify5.0ms

prune8.0ms

localize5.0ms

rewrite15.0ms

series13.0ms

simplify51.0ms

prune46.0ms

localize10.0ms

rewrite36.0ms

series55.0ms

simplify51.0ms

prune121.0ms

localize9.0ms

rewrite58.0ms

series28.0ms

simplify49.0ms

prune122.0ms

localize8.0ms

rewrite41.0ms

series25.0ms

simplify40.0ms

prune82.0ms

regimes84.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample383.0ms

Profiling