Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
0%	100%	0%	13
0.1%	99.9%	0%	14

sample228.0ms

Algorithm

intervals

Results

142.0ms	53×	body	2560	valid
48.0ms	81×	body	1280	valid
19.0ms	62×	body	640	valid
7.0ms	37×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	11×	body	80	valid

simplify597.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	1006	14
1	1006	14

prune3.0ms

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: 35.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
2.6b	(-.f64 x (tan.f64 x))
2.6b	(-.f64 x (sin.f64 x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-log-exp_binary64`
5×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 78

Calls

3 calls:

16.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
3.0ms	(-.f64 x (tan.f64 x))
6.0ms	(-.f64 x (sin.f64 x))

series150.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
57.0ms	(-.f64 x (tan.f64 x))
36.0ms	(-.f64 x (sin.f64 x))

simplify68.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4892	1795
1	4892	1795

prune69.0ms

Filtered

63 candidates to 87 candidates (-38.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 27/2800 (pow.f64 x 4))
0.2b	(.f64 (.f64 x x) 9/40)
14.3b	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
10×	`associate-r_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `pow1_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`prod-exp_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`pow-prod-down_binary64`
2×	`diff-log_binary64` `sqr-pow_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

3 → 57

Calls

3 calls:

5.0ms	(*.f64 27/2800 (pow.f64 x 4))
6.0ms	(.f64 (.f64 x x) 9/40)
10.0ms	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))

series79.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(*.f64 27/2800 (pow.f64 x 4))
22.0ms	(.f64 (.f64 x x) 9/40)
28.0ms	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4870	856
1	4870	856

prune45.0ms

Filtered

40 candidates to 66 candidates (-65.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 27/2800 (pow.f64 x 4))
0.2b	(.f64 (.f64 x x) 9/40)
0.3b	(log.f64 (exp.f64 (-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))))
14.3b	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
10×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
9×	`add-log-exp_binary64`
6×	`prod-exp_binary64`
4×	`cbrt-unprod_binary64` `log-prod_binary64` `log-pow_binary64` `associate-l_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`pow-prod-down_binary64` `exp-prod_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `sqr-pow_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `associate--r+_binary64` `flip3--_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `log-div_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 74

Calls

4 calls:

6.0ms	(*.f64 27/2800 (pow.f64 x 4))
6.0ms	(.f64 (.f64 x x) 9/40)
10.0ms	(log.f64 (exp.f64 (-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))))
10.0ms	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))

series106.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(*.f64 27/2800 (pow.f64 x 4))
22.0ms	(.f64 (.f64 x x) 9/40)
28.0ms	(log.f64 (exp.f64 (-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))))
27.0ms	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))

simplify81.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4811	1328
1	4811	1328

prune69.0ms

Filtered

53 candidates to 86 candidates (-62.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)))))
0.3b	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)))))
14.3b	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
14.3b	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp_binary64` `log-prod_binary64`
12×	`log-pow_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`pow1_binary64` `sqrt-pow1_binary64` `sqrt-prod_binary64`
6×	`add-exp-log_binary64` `exp-prod_binary64`
4×	`sub-neg_binary64` `diff-log_binary64` `add-cbrt-cube_binary64`
2×	`pow1/2_binary64` `associate--r+_binary64` `flip3--_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `log-div_binary64` `flip--_binary64` `sqrt-div_binary64` `sum-log_binary64`

Counts

4 → 70

Calls

4 calls:

11.0ms	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)))))
11.0ms	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)))))
10.0ms	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
11.0ms	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))

series314.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)))))
130.0ms	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)))))
25.0ms	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
29.0ms	(-.f64 (.f64 (.f64 x x) 9/40) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))

simplify111.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4849	2308
1	4849	2308

prune125.0ms

Filtered

58 candidates to 82 candidates (-41.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

regimes47.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.7b

bsearch38.0ms

Steps

Iters	Range		Point
8	0.011128757439983676	110.37414040005027	0.029768090884351926
8	-1.3282741630847485	-0.0006390178364286982	-0.028077636826817208

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	47
1	88	47

end0.0ms

sample6.6s

Algorithm

intervals

Results

4.0s	1604×	body	2560	valid
1.7s	2775×	body	1280	valid
508.0ms	1892×	body	640	valid
168.0ms	928×	body	320	valid
58.0ms	453×	body	160	valid
27.0ms	348×	body	80	valid

Details

analyze1.2s

sample228.0ms

simplify597.0ms

prune3.0ms

localize10.0ms

rewrite30.0ms

series150.0ms

simplify68.0ms

prune69.0ms

localize9.0ms

rewrite23.0ms

series79.0ms

simplify49.0ms

prune45.0ms

localize14.0ms

rewrite33.0ms

series106.0ms

simplify81.0ms

prune69.0ms

localize14.0ms

rewrite45.0ms

series314.0ms

simplify111.0ms

prune125.0ms

regimes47.0ms

bsearch38.0ms

simplify4.0ms

end0.0ms

sample6.6s

Profiling