Details

analyze1.2s (8.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5367	148
0	3	3
1	3	3

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	96.7%	3.3%	9
16.4%	74.9%	8.7%	10
17.6%	71.8%	10.7%	11
26.3%	59.5%	14.2%	12
30.7%	45.7%	23.5%	13
31.7%	43.5%	24.7%	14

Compiler

Compiled 30 to 25 computations (16.7% saved)

sample52.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
11.0ms	172×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4999	37
1	4999	37

prune8.0ms (0.1%)

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

Error

9.0b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
4.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
8.0b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
9.6b	(.f64 r (.f64 w w))

rewrite411.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

109×	`times-frac_binary64`
77×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
52×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
44×	`add-cube-cbrt_binary64`
36×	`associate-r_binary64`
18×	`difference-of-squares_binary64`
17×	`prod-exp_binary64` `cbrt-unprod_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
11×	`pow1_binary64` `associate-/r*_binary64`
10×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64` `associate-/l*_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r/_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `associate-l/_binary64` `associate-/l/_binary64`
1×	`associate-*r/_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 177

Calls

4 calls:

23.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
17.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
10.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
8.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 6257 to 3523 computations (43.7% saved)

series756.0ms (5%)

Error

8.9b

Counts

4 → 42

Calls

4 calls:

247.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
198.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
178.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
73.0ms	(.f64 r (.f64 w w))

Compiler

Compiled 3115 to 2491 computations (20% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5005	4486

prune359.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	210	9	219
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	212	9	221

Error

3.6b

Counts

221 → 9

Compiler

Compiled 6967 to 3937 computations (43.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (*.f64 r r))
1.5b	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
4.8b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
8.0b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))

rewrite483.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

112×	`times-frac_binary64`
77×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`
52×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
45×	`add-cube-cbrt_binary64`
35×	`associate-r_binary64`
19×	`div-exp_binary64` `cbrt-undiv_binary64`
18×	`difference-of-squares_binary64`
15×	`prod-exp_binary64` `cbrt-unprod_binary64`
12×	`associate-/l_binary64` `associate-/r_binary64`
11×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`frac-2neg_binary64` `clear-num_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 179

Calls

4 calls:

22.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
19.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
12.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
8.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 6318 to 3604 computations (43% saved)

series710.0ms (4.7%)

Error

3.6b

Counts

4 → 39

Calls

4 calls:

256.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))))
199.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 w r) w))
179.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 w r) w)))
27.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2890 to 2313 computations (20% saved)

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4974	4593
1	4974	4593

prune374.0ms (2.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	210	8	218
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	216	11	227

Error

0.0b

Counts

227 → 11

Compiler

Compiled 7020 to 4006 computations (42.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 w r) w)
0.5b	(/.f64 2 (*.f64 r r))
3.2b	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v)))
7.2b	(.f64 (.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v))) (.f64 (*.f64 w r) w))

rewrite249.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

55×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
32×	`pow1_binary64` `add-sqr-sqrt_binary64`
30×	`prod-exp_binary64` `cbrt-unprod_binary64`
28×	`associate-r_binary64`
27×	`*-un-lft-identity_binary64`
22×	`times-frac_binary64`
19×	`pow-prod-down_binary64`
18×	`add-cube-cbrt_binary64`
9×	`associate-*l/_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64`
5×	`flip3--_binary64` `flip--_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`-commutative_binary64` `distribute-lft-out--_binary64` `associate-/l_binary64`
2×	`associate-*r/_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64`

Counts

4 → 125

Calls

4 calls:

19.0ms	(.f64 (.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v))) (.f64 (*.f64 w r) w))
14.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v)))
5.0ms	(.f64 (.f64 w r) w)
5.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 4384 to 2569 computations (41.4% saved)

series478.0ms (3.2%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

248.0ms	(.f64 (.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v))) (.f64 (*.f64 w r) w))
103.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v)))
64.0ms	(.f64 (.f64 w r) w)
27.0ms	(/.f64 2 (*.f64 r r))

Compiler

Compiled 2102 to 1632 computations (22.4% saved)

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5005	2752

prune215.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	156	10	166

Error

0.0b

Counts

166 → 10

Compiler

Compiled 4778 to 2796 computations (41.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 w)
0.6b	(cbrt.f64 w)
3.2b	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v)))
7.2b	(.f64 (.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v))) (.f64 (.f64 (.f64 w r) (*.f64 (cbrt.f64 w) (cbrt.f64 w))) (cbrt.f64 w)))

rewrite300.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

102×	`add-exp-log_binary64`
75×	`add-cbrt-cube_binary64`
71×	`prod-exp_binary64` `cbrt-unprod_binary64`
62×	`pow1_binary64`
45×	`pow-prod-down_binary64`
31×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
25×	`associate-r_binary64`
19×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
9×	`associate-*l/_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64`
6×	`difference-of-squares_binary64` `cbrt-prod_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64` `associate-l_binary64`
3×	`distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `-commutative_binary64` `unswap-sqr_binary64` `associate-/r/_binary64` `pow1/3_binary64`
1×	`div-inv_binary64`

Counts

4 → 132

Calls

4 calls:

26.0ms	(.f64 (.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v))) (.f64 (.f64 (.f64 w r) (*.f64 (cbrt.f64 w) (cbrt.f64 w))) (cbrt.f64 w)))
17.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v)))
1.0ms	(cbrt.f64 w)
1.0ms	(cbrt.f64 w)

Compiler

Compiled 5881 to 2852 computations (51.5% saved)

series604.0ms (4%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

284.0ms	(.f64 (.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v))) (.f64 (.f64 (.f64 w r) (*.f64 (cbrt.f64 w) (cbrt.f64 w))) (cbrt.f64 w)))
109.0ms	(.f64 (-.f64 3/8 (.f64 v 1/4)) (/.f64 r (-.f64 1 v)))
88.0ms	(cbrt.f64 w)
86.0ms	(cbrt.f64 w)

Compiler

Compiled 2233 to 1608 computations (28% saved)

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5302	3150

prune219.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	159	10	169

Error

0.0b

Counts

169 → 10

Compiler

Compiled 5253 to 2681 computations (49% saved)

regimes2.1s (13.8%)

Accuracy

Total 0.7b remaining (97.6%)

Threshold costs 0.7b (97.6%)

Compiler

Compiled 34071 to 25871 computations (24.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	130	55
1	130	55

end0.0ms (0%)

sample6.1s (40.5%)

Algorithm

1×

intervals

Results

617.0ms	8000×	body	128	valid
372.0ms	4967×	body	128	invalid

Compiler

Compiled 5336 to 4060 computations (23.9% saved)

Details

analyze1.2s (8.1%)

sample52.0ms (0.3%)

simplify50.0ms (0.3%)

prune8.0ms (0.1%)

localize18.0ms (0.1%)

rewrite411.0ms (2.7%)

series756.0ms (5%)

simplify95.0ms (0.6%)

prune359.0ms (2.4%)

localize16.0ms (0.1%)

rewrite483.0ms (3.2%)

series710.0ms (4.7%)

simplify112.0ms (0.7%)

prune374.0ms (2.5%)

localize16.0ms (0.1%)

rewrite249.0ms (1.6%)

series478.0ms (3.2%)

simplify75.0ms (0.5%)

prune215.0ms (1.4%)

localize20.0ms (0.1%)

rewrite300.0ms (2%)

series604.0ms (4%)

simplify68.0ms (0.4%)

prune219.0ms (1.4%)

regimes2.1s (13.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample6.1s (40.5%)

Profiling