Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample19.0ms

Algorithm

intervals

Results

6.0ms	55×	body	640	valid
4.0ms	137×	body	80	valid
3.0ms	40×	body	320	valid
1.0ms	24×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	75	11
1	75	11

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
1.8b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
72×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out--_binary64`
17×	`difference-of-squares_binary64`
11×	`associate-/r*_binary64` `add-exp-log_binary64`
10×	`distribute-lft-out_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`difference-of-sqr-1_binary64` `div-exp_binary64`
3×	`flip--_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 124

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))
32.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series10.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/.f64 1 (-.f64 x 1))
2.0ms	(/.f64 1 (+.f64 x 1))
6.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

simplify54.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4914	1414
1	4914	1414

prune57.0ms

Filtered

72 candidates to 133 candidates (-84.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	1	134

Merged error: 0.4b

Counts

134 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4911	371
1	4911	371

prune24.0ms

Filtered

26 candidates to 32 candidates (-23.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0.3b

Counts

33 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 -8 (pow.f64 (+.f64 -1 (*.f64 x x)) 3))
0.1b	(pow.f64 (+.f64 -1 (*.f64 x x)) 3)
9.0b	(cbrt.f64 (/.f64 -8 (pow.f64 (+.f64 -1 (*.f64 x x)) 3)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`cbrt-prod_binary64`
24×	`unpow-prod-down_binary64` `cube-prod_binary64`
12×	`associate-/r*_binary64`
9×	`add-exp-log_binary64`
8×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
6×	`add-cbrt-cube_binary64` `cube-div_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `associate-/l*_binary64` `div-exp_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`cbrt-div_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64`

Counts

3 → 143

Calls

3 calls:

7.0ms	(/.f64 -8 (pow.f64 (+.f64 -1 (*.f64 x x)) 3))
7.0ms	(pow.f64 (+.f64 -1 (*.f64 x x)) 3)
7.0ms	(cbrt.f64 (/.f64 -8 (pow.f64 (+.f64 -1 (*.f64 x x)) 3)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 -8 (pow.f64 (+.f64 -1 (*.f64 x x)) 3))
4.0ms	(pow.f64 (+.f64 -1 (*.f64 x x)) 3)
9.0ms	(cbrt.f64 (/.f64 -8 (pow.f64 (+.f64 -1 (*.f64 x x)) 3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4955	2189
1	4955	2189

prune68.0ms

Filtered

83 candidates to 152 candidates (-83.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	152	4	156

Merged error: 0.3b

Counts

156 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
23.6b	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt_binary64`
67×	`*-un-lft-identity_binary64`
61×	`times-frac_binary64`
43×	`difference-of-squares_binary64`
36×	`associate-l_binary64`
32×	`add-cube-cbrt_binary64`
14×	`sqr-pow_binary64` `unpow-prod-down_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out--_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate-r_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 119

Calls

2 calls:

8.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
16.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
7.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5263	1696

prune83.0ms

Filtered

90 candidates to 125 candidates (-38.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	125	4	129

Merged error: 0.3b

Counts

129 → 4

regimes17.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample576.0ms

Algorithm

intervals

Results

220.0ms	1946×	body	640	valid
126.0ms	4256×	body	80	valid
97.0ms	1171×	body	320	valid
35.0ms	627×	body	160	valid

Details

analyze4.0ms

sample19.0ms

simplify8.0ms

prune3.0ms

localize6.0ms

rewrite50.0ms

series10.0ms

simplify54.0ms

prune57.0ms

localize6.0ms

rewrite6.0ms

series4.0ms

simplify63.0ms

prune24.0ms

localize7.0ms

rewrite27.0ms

series18.0ms

simplify53.0ms

prune68.0ms

localize10.0ms

rewrite30.0ms

series15.0ms

simplify49.0ms

prune83.0ms

regimes17.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample576.0ms

Profiling