Details

analyze553.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

sample38.0ms

Algorithm

intervals

Results

31.0ms

256×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5071	27

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b	(+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5)
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`distribute-lft-out_binary64`
8×	`associate-/r_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
4×	`associate-/l/_binary64` `pow1_binary64` `associate-/r/_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 104

Calls

4 calls:

10.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
20.0ms	(+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5)
18.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
15.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

series16.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
5.0ms	(+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5)
4.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
5.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

simplify51.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4834	1770
1	4834	1770

prune160.0ms

Filtered

80 candidates to 116 candidates (-45.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	115	3	118

Merged error: 0b

Counts

118 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

3.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.5b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `difference-of-squares_binary64` `times-frac_binary64`
4×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 60

Calls

4 calls:

24.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
24.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
24.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify48.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4963	940
1	4963	940

prune167.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Merged error: 0b

Counts

75 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5)
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 (pow.f64 t 3)))
18.9b	(.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 (pow.f64 t 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 t t) (.f64 1 t))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64`
49×	`times-frac_binary64`
39×	`add-sqr-sqrt_binary64`
34×	`add-cube-cbrt_binary64`
30×	`distribute-lft-out_binary64`
22×	`associate-l_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3-+_binary64` `associate-/r_binary64` `associate-/l_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-/r/_binary64`
4×	`associate-/l/_binary64` `associate-r_binary64`
3×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`cbrt-unprod_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 140

Calls

4 calls:

20.0ms	(+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5)
17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
17.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 (pow.f64 t 3)))
27.0ms	(.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 (pow.f64 t 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 t t) (.f64 1 t))))

series20.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5)
4.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
5.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 (pow.f64 t 3)))
7.0ms	(.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 (pow.f64 t 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 t t) (.f64 1 t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4906	2912
1	4906	2912

prune289.0ms

Filtered

105 candidates to 152 candidates (-44.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	152	3	155

Merged error: 0b

Counts

155 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (sqrt.f64 (+.f64 1 t)))
0.0b	(/.f64 1 (sqrt.f64 (+.f64 1 t)))
0.1b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 t))) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (sqrt.f64 (+.f64 1 t))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

166×	`*-un-lft-identity_binary64`
136×	`times-frac_binary64`
124×	`add-sqr-sqrt_binary64`
78×	`add-cube-cbrt_binary64`
75×	`sqrt-prod_binary64`
41×	`distribute-lft-out_binary64`
34×	`associate-r_binary64` `add-exp-log_binary64`
27×	`associate-l_binary64`
22×	`add-cbrt-cube_binary64`
18×	`associate-/r*_binary64`
15×	`unswap-sqr_binary64`
12×	`div-exp_binary64`
11×	`associate-/l*_binary64`
10×	`associate-/r/_binary64`
8×	`pow1_binary64` `prod-exp_binary64` `sqrt-div_binary64`
7×	`flip3-+_binary64` `cbrt-undiv_binary64` `flip-+_binary64`
5×	`div-inv_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `pow-flip_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `inv-pow_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 246

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
16.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (sqrt.f64 (+.f64 1 t)))
7.0ms	(/.f64 1 (sqrt.f64 (+.f64 1 t)))
40.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 t))) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (sqrt.f64 (+.f64 1 t))))

series26.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
8.0ms	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (sqrt.f64 (+.f64 1 t)))
9.0ms	(/.f64 1 (sqrt.f64 (+.f64 1 t)))
5.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 t))) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (sqrt.f64 (+.f64 1 t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5008	4313

prune387.0ms

Filtered

140 candidates to 258 candidates (-84.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	258	3	261

Merged error: 0b

Counts

261 → 3

regimes146.0ms

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	39	51
1	39	51

end0.0ms

sample1.0s

Algorithm

intervals

Results

944.0ms

8000×

body

valid

Details

analyze553.0ms

sample38.0ms

simplify52.0ms

prune8.0ms

localize10.0ms

rewrite66.0ms

series16.0ms

simplify51.0ms

prune160.0ms

localize12.0ms

rewrite98.0ms

series13.0ms

simplify48.0ms

prune167.0ms

localize20.0ms

rewrite86.0ms

series20.0ms

simplify70.0ms

prune289.0ms

localize15.0ms

rewrite90.0ms

series26.0ms

simplify54.0ms

prune387.0ms

regimes146.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling