Details

analyze871.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4929	64
1	4929	64
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
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample41.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify298.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (286.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune12.0ms (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

0.3b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
2.4b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite472.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

223×	`times-frac_binary64_84`
181×	`add-sqr-sqrt_binary64_100`
174×	`*-un-lft-identity_binary64_78`
86×	`add-cube-cbrt_binary64_113`
38×	`difference-of-squares_binary64_47`
25×	`distribute-lft-out_binary64_29`
21×	`associate-/l*_binary64_23`
19×	`distribute-lft-out--_binary64_30`
18×	`associate-/r/_binary64_24`
10×	`associate-/r*_binary64_22`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `div-inv_binary64_75`
8×	`flip3-+_binary64_81` `flip-+_binary64_52`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
2×	`pow1_binary64_139` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate-/l/_binary64_25` `flip3--_binary64_82` `flip--_binary64_53`

Counts

2 → 182

Calls

2 calls:

36.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
11.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 4505 to 1593 computations (64.6% saved)

series597.0ms (4.9%)

Error

0.1b

Counts

2 → 33

Calls

2 calls:

353.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
193.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 1374 to 959 computations (30.2% saved)

simplify188.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4984	6008
1	4984	6008

prune377.0ms (3.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	205	10	215
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	206	11	217

Error

0.0b

Counts

217 → 11

Compiler

Compiled 4893 to 1683 computations (65.6% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
8.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
8.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
8.9b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite245.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_100`
21×	`cbrt-prod_binary64_109`
14×	`*-un-lft-identity_binary64_78`
8×	`add-cube-cbrt_binary64_113`
6×	`cbrt-div_binary64_110` `difference-of-squares_binary64_47`
4×	`pow1/3_binary64_160` `pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`flip3--_binary64_82` `flip--_binary64_53` `times-frac_binary64_84` `distribute-lft-out--_binary64_30`

Counts

4 → 59

Calls

4 calls:

13.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
13.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
12.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
2.0ms	(cbrt.f64 v)

Compiler

Compiled 3065 to 1083 computations (64.7% saved)

series1.4s (11.5%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

362.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
360.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
348.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
147.0ms	(cbrt.f64 v)

Compiler

Compiled 7389 to 4268 computations (42.2% saved)

simplify162.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4962	1978
1	4962	1978

prune349.0ms (2.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	107	11	118

Error

0.0b

Counts

118 → 11

Compiler

Compiled 5692 to 2010 computations (64.7% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.3b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
2.2b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite366.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

93×	`add-sqr-sqrt_binary64_100`
74×	`times-frac_binary64_84`
71×	`*-un-lft-identity_binary64_78`
41×	`add-cube-cbrt_binary64_113`
31×	`add-exp-log_binary64_116`
24×	`associate-r_binary64_18`
19×	`add-cbrt-cube_binary64_114`
18×	`associate-l_binary64_19`
14×	`difference-of-squares_binary64_47`
11×	`div-exp_binary64_129`
10×	`associate-/r*_binary64_22`
8×	`prod-exp_binary64_127` `associate-/r/_binary64_24`
7×	`distribute-lft-out_binary64_29` `distribute-lft-out--_binary64_30`
6×	`pow1_binary64_139` `cbrt-undiv_binary64_112` `unswap-sqr_binary64_46` `associate-/l*_binary64_23`
4×	`cbrt-unprod_binary64_111` `div-inv_binary64_75`
3×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117`
2×	`flip3-+_binary64_81` `flip-+_binary64_52` `flip3--_binary64_82` `flip--_binary64_53` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`pow-prod-down_binary64_149` `frac-times_binary64_88` `un-div-inv_binary64_76` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9` `inv-pow_binary64_163` `pow-flip_binary64_152`

Counts

3 → 151

Calls

3 calls:

53.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
18.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
11.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 3411 to 1568 computations (54% saved)

series672.0ms (5.5%)

Error

0.0b

Counts

3 → 48

Calls

3 calls:

324.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
169.0ms	(/.f64 v (+.f64 t1 u))
118.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 2010 to 1401 computations (30.3% saved)

simplify160.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4939	3303
1	4939	3303

prune303.0ms (2.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	197	2	199
Fresh	3	6	9
Picked	0	1	1
Done	1	0	1
Total	201	9	210

Error

0.0b

Counts

210 → 9

Compiler

Compiled 3774 to 1603 computations (57.5% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
2.2b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite392.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

223×	`times-frac_binary64_84`
183×	`add-sqr-sqrt_binary64_100`
176×	`*-un-lft-identity_binary64_78`
88×	`add-cube-cbrt_binary64_113`
38×	`difference-of-squares_binary64_47`
27×	`associate-/l*_binary64_23`
25×	`distribute-lft-out_binary64_29`
19×	`distribute-lft-out--_binary64_30`
14×	`associate-/r/_binary64_24`
10×	`associate-/r*_binary64_22`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`div-inv_binary64_75`
6×	`flip3--_binary64_82` `flip--_binary64_53`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
2×	`pow1_binary64_139` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate-/l/_binary64_25` `flip3-+_binary64_81` `flip-+_binary64_52`

Counts

2 → 182

Calls

2 calls:

30.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
14.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 4549 to 1915 computations (57.9% saved)

series559.0ms (4.6%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

294.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
226.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 1320 to 910 computations (31.1% saved)

simplify174.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5135	5908

prune337.0ms (2.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	215	9	224

Error

0.0b

Counts

224 → 9

Compiler

Compiled 4638 to 1768 computations (61.9% saved)

regimes911.0ms (7.5%)

Accuracy

Total 1.4b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 6662 to 4490 computations (32.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample3.2s (26.4%)

Algorithm

1×

intervals

Results

481.0ms	8000×	body	128	valid
14.0ms	257×	body	128	invalid

Compiler

Compiled 1682 to 1135 computations (32.5% saved)

Details

analyze871.0ms (7.1%)

sample41.0ms (0.3%)

simplify298.0ms (2.4%)

prune12.0ms (0.1%)

localize19.0ms (0.2%)

rewrite472.0ms (3.9%)

series597.0ms (4.9%)

simplify188.0ms (1.5%)

prune377.0ms (3.1%)

localize42.0ms (0.3%)

rewrite245.0ms (2%)

series1.4s (11.5%)

simplify162.0ms (1.3%)

prune349.0ms (2.9%)

localize18.0ms (0.1%)

rewrite366.0ms (3%)

series672.0ms (5.5%)

simplify160.0ms (1.3%)

prune303.0ms (2.5%)

localize15.0ms (0.1%)

rewrite392.0ms (3.2%)

series559.0ms (4.6%)

simplify174.0ms (1.4%)

prune337.0ms (2.8%)

regimes911.0ms (7.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.2s (26.4%)

Profiling