Details

analyze655.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	1195	9
1	1195	9

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: 6.2b

Counts

2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
6.2b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
171×	`*-un-lft-identity_binary64`
121×	`add-cube-cbrt_binary64`
67×	`associate-r_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
10×	`div-inv_binary64`
8×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 228

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
10.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
22.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

series40.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
16.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
18.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

simplify64.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5000	2844

prune170.0ms

Filtered

177 candidates to 237 candidates (-33.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	227	10	237
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	227	12	239

Merged error: 0b

Counts

239 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(cbrt.f64 (-.f64 y t))
1.3b	(.f64 x (/.f64 (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log_binary64`
29×	`times-frac_binary64`
26×	`add-sqr-sqrt_binary64`
23×	`add-cbrt-cube_binary64`
22×	`associate-r_binary64`
18×	`cbrt-div_binary64` `*-un-lft-identity_binary64`
15×	`cbrt-prod_binary64`
12×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`associate-/r/_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `sqrt-prod_binary64` `frac-times_binary64`
3×	`associate-r/_binary64` `pow1/3_binary64` `associate-l*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`div-inv_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 y t))
4.0ms	(cbrt.f64 (-.f64 y t))
3.0ms	(cbrt.f64 (-.f64 y t))
24.0ms	(.f64 x (/.f64 (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 (-.f64 y t))
26.0ms	(cbrt.f64 (-.f64 y t))
26.0ms	(cbrt.f64 (-.f64 y t))
75.0ms	(.f64 x (/.f64 (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4991	1534
1	4991	1534

prune92.0ms

Filtered

82 candidates to 110 candidates (-34.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	110	12	122

Merged error: 0b

Counts

122 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(cbrt.f64 (-.f64 y t))
3.9b	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

179×	`times-frac_binary64`
135×	`add-sqr-sqrt_binary64`
109×	`*-un-lft-identity_binary64`
94×	`associate-r_binary64`
85×	`add-cube-cbrt_binary64`
62×	`cbrt-prod_binary64`
40×	`add-exp-log_binary64`
31×	`add-cbrt-cube_binary64`
24×	`cbrt-div_binary64`
15×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
14×	`associate-/r/_binary64`
12×	`flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`unswap-sqr_binary64`
6×	`pow1_binary64`
5×	`div-inv_binary64` `frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r/_binary64` `pow1/3_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 192

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 y t))
3.0ms	(cbrt.f64 (-.f64 y t))
3.0ms	(cbrt.f64 (-.f64 y t))
53.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))

series104.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt.f64 (-.f64 y t))
31.0ms	(cbrt.f64 (-.f64 y t))
27.0ms	(cbrt.f64 (-.f64 y t))
19.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))

simplify69.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4958	3505
1	4958	3505

prune123.0ms

Filtered

164 candidates to 204 candidates (-24.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	4	5	9
Picked	0	1	1
Done	1	1	2
Total	208	8	216

Merged error: 0b

Counts

216 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 x 2) (-.f64 y t))
5.9b	(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac_binary64`
36×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/l*_binary64`
10×	`associate-/r/_binary64`
8×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 91

Calls

2 calls:

7.0ms	(/.f64 (*.f64 x 2) (-.f64 y t))
10.0ms	(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

series27.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 (*.f64 x 2) (-.f64 y t))
18.0ms	(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5368	1157

prune41.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	97	8	105

Merged error: 0b

Counts

105 → 8

regimes311.0ms

Accuracy

24.1% (3.6b remaining)

Error of 3.6b against oracle of 0.0b and baseline of 4.8b

bsearch37.0ms

Steps

Iters	Range		Point
7	-6.871611858951124e-307	2.73078841551725e-309	1.00293945317054e-310
11	-1.4066719699686595e+155	-1.9528471040460745e+133	-2.4796712913962077e+133

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	41
1	39	41

end0.0ms

sample563.0ms

Algorithm

intervals

Results

308.0ms	8000×	body	80	valid
24.0ms	677×	body	80	invalid

Details

analyze655.0ms

sample21.0ms

simplify62.0ms

prune8.0ms

localize11.0ms

rewrite51.0ms

series40.0ms

simplify64.0ms

prune170.0ms

localize19.0ms

rewrite40.0ms

series156.0ms

simplify47.0ms

prune92.0ms

localize10.0ms

rewrite76.0ms

series104.0ms

simplify69.0ms

prune123.0ms

localize7.0ms

rewrite21.0ms

series27.0ms

simplify42.0ms

prune41.0ms

regimes311.0ms

bsearch37.0ms

simplify2.0ms

end0.0ms

sample563.0ms

Profiling