Details

analyze774.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

sample70.0ms

Algorithm

intervals

Results

36.0ms	63×	body	1024	valid
14.0ms	150×	body	128	valid
10.0ms	31×	body	512	valid
3.0ms	12×	body	256	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	22
1	50	22

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 16.9b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
0.3b	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
16.7b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `associate-r_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64`
2×	`*-commutative_binary64`
1×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 59

Calls

3 calls:

7.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
5.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
9.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

series208.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2))))
30.0ms	(.f64 8/3 (sin.f64 (.f64 x 1/2)))
125.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) (.f64 8/3 (sin.f64 (.f64 x 1/2)))) (sin.f64 x))

simplify69.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5022	1066

prune81.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	56	12	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	12	69

Merged error: 0.1b

Counts

69 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)
0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
0.3b	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `times-frac_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64`

Counts

3 → 66

Calls

3 calls:

5.0ms	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)
9.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
6.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))

series240.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(.f64 (sin.f64 (.f64 x 1/2)) 8/3)
128.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x)))
82.0ms	(/.f64 (.f64 (sin.f64 (.f64 x 1/2)) 8/3) (sin.f64 x))

simplify67.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4947	1245
1	4947	1245

prune77.0ms

Filtered

53 candidates to 75 candidates (-41.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 512/27 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3))
0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 512/27 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3))))
0.4b	(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)
0.8b	(cbrt.f64 (.f64 512/27 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
37×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
36×	`associate-r_binary64`
28×	`unpow-prod-down_binary64` `cube-prod_binary64`
17×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
7×	`pow1_binary64` `unswap-sqr_binary64`
6×	`associate-l_binary64`
5×	`prod-exp_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64` `cube-div_binary64` `div-inv_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `sqr-pow_binary64`
2×	`cbrt-div_binary64` `pow-to-exp_binary64` `cbrt-unprod_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `cbrt-prod_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64`

Counts

4 → 131

Calls

4 calls:

15.0ms	(.f64 512/27 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3))
6.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 512/27 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3))))
6.0ms	(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)
8.0ms	(cbrt.f64 (.f64 512/27 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(.f64 512/27 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3))
129.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 512/27 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3))))
122.0ms	(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)
119.0ms	(cbrt.f64 (.f64 512/27 (pow.f64 (/.f64 (sin.f64 (.f64 x 1/2)) (sin.f64 x)) 3)))

simplify55.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5041	2969

prune137.0ms

Filtered

82 candidates to 143 candidates (-74.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	139	4	143
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	143	9	152

Merged error: 0b

Counts

152 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 512/27))
0.4b	(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)
0.8b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
1.0b	(cbrt.f64 512/27)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
39×	`cbrt-prod_binary64`
38×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
36×	`times-frac_binary64`
26×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-r_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64`
2×	`pow1/3_binary64` `sqr-pow_binary64` `cube-div_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `prod-exp_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 121

Calls

4 calls:

6.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 512/27))
9.0ms	(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)
6.0ms	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
1.0ms	(cbrt.f64 512/27)

series226.0ms

Counts

4 → 10

Calls

4 calls:

52.0ms	(.f64 (sin.f64 (.f64 x 1/2)) (cbrt.f64 512/27))
112.0ms	(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)
62.0ms	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
0.0ms	(cbrt.f64 512/27)

simplify73.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5527	2402

prune300.0ms

Filtered

73 candidates to 131 candidates (-79.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	131	9	140

Merged error: 0b

Counts

140 → 9

regimes22.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	29
1	17	29

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	2042×	body	1024	valid
451.0ms	4443×	body	128	valid
321.0ms	990×	body	512	valid
108.0ms	520×	body	256	valid
6.0ms	5×	body	2048	valid

Details

analyze774.0ms

sample70.0ms

simplify9.0ms

prune4.0ms

localize9.0ms

rewrite26.0ms

series208.0ms

simplify69.0ms

prune81.0ms

localize9.0ms

rewrite25.0ms

series240.0ms

simplify67.0ms

prune77.0ms

localize12.0ms

rewrite48.0ms

series571.0ms

simplify55.0ms

prune137.0ms

localize13.0ms

rewrite34.0ms

series226.0ms

simplify73.0ms

prune300.0ms

regimes22.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling