Details

analyze338.0ms

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
12.5%	87.4%	0.1%	4
18.7%	81.1%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	78%	0.1%	7
27.3%	61.6%	11.1%	8
28.5%	60.5%	11.1%	9
32.6%	53.4%	14%	10
40.2%	38.1%	21.7%	11
41.8%	35.8%	22.4%	12
44.5%	29.2%	26.3%	13
47.1%	21.3%	31.6%	14

sample28.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
7.0ms	222×	body	128	invalid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4876	12
1	4876	12

prune1.0ms

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: 7.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
7.1b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `cosh-def_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `add-log-exp_binary64` `associate-l*_binary64`
2×	`associate-r/_binary64` `unswap-sqr_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

1.0ms	(cosh.f64 x)
7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series495.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(cosh.f64 x)
167.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
272.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4960	985
1	4960	985

prune58.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	67	10	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	10	78

Merged error: 0.0b

Counts

78 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
7.1b	(/.f64 (/.f64 y x) z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac_binary64`
90×	`add-sqr-sqrt_binary64`
81×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
43×	`associate-r_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-/l*_binary64`
9×	`div-inv_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l*_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `cosh-def_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 145

Calls

3 calls:

1.0ms	(cosh.f64 x)
16.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
6.0ms	(/.f64 (/.f64 y x) z)

series356.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(cosh.f64 x)
258.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y x) z))
40.0ms	(/.f64 (/.f64 y x) z)

simplify75.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5068	2499

prune104.0ms

Filtered

125 candidates to 154 candidates (-23.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	153	11	164

Merged error: 0.0b

Counts

164 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
0.3b	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x))
7.1b	(/.f64 (.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x)) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log_binary64`
36×	`add-cbrt-cube_binary64`
19×	`prod-exp_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`cbrt-unprod_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64` `div-exp_binary64`
9×	`cbrt-undiv_binary64`
7×	`associate-*l/_binary64`
6×	`cosh-def_binary64`
4×	`pow-prod-down_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
3×	`associate-/r*_binary64`
2×	`associate-r/_binary64` `un-div-inv_binary64` `div-inv_binary64` `frac-times_binary64` `-commutative_binary64`
1×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cosh.f64 x)
4.0ms	(*.f64 (cosh.f64 x) y)
9.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x))
10.0ms	(/.f64 (.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x)) z)

series592.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(cosh.f64 x)
120.0ms	(*.f64 (cosh.f64 x) y)
157.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x))
261.0ms	(/.f64 (.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x)) z)

simplify85.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4968	1310
1	4968	1310

prune58.0ms

Filtered

71 candidates to 110 candidates (-54.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	110	11	121

Merged error: 0.0b

Counts

121 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.4b	(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
7.0b	(/.f64 z (/.f64 y x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac_binary64`
230×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
57×	`associate-/r*_binary64`
22×	`div-inv_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `cosh-def_binary64`
1×	`associate-/l/_binary64`

Counts

3 → 275

Calls

3 calls:

1.0ms	(cosh.f64 x)
14.0ms	(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
7.0ms	(/.f64 z (/.f64 y x))

series415.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(cosh.f64 x)
311.0ms	(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
43.0ms	(/.f64 z (/.f64 y x))

simplify143.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4962	6972
1	4962	6972

prune178.0ms

Filtered

242 candidates to 284 candidates (-17.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	280	4	284
Fresh	6	2	8
Picked	0	1	1
Done	1	1	2
Total	287	8	295

Merged error: 0b

Counts

295 → 8

regimes108.0ms

Accuracy

92.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.1b

bsearch68.0ms

Steps

Iters	Range		Point
9	4.001875649399746e-34	7.446949378300722e-28	3.732881937329904e-31
10	-4.117398488687592e-34	-2.3301119279740394e-51	-1.2032535890096534e-34

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	38
1	23	38

end0.0ms

sample860.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	128	valid
242.0ms	7194×	body	128	invalid

Details

analyze338.0ms

sample28.0ms

simplify93.0ms

prune1.0ms

localize6.0ms

rewrite20.0ms

series495.0ms

simplify67.0ms

prune58.0ms

localize8.0ms

rewrite38.0ms

series356.0ms

simplify75.0ms

prune104.0ms

localize10.0ms

rewrite32.0ms

series592.0ms

simplify85.0ms

prune58.0ms

localize8.0ms

rewrite56.0ms

series415.0ms

simplify143.0ms

prune178.0ms

regimes108.0ms

bsearch68.0ms

simplify2.0ms

end0.0ms

sample860.0ms

Profiling