Details

analyze253.0ms (6.9%)

Algorithm

1×

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)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify243.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune4.0ms (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

Merged error: 0.1b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.0b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite46.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

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-cbrt-cube_binary64_114` `div-inv_binary64_75` `add-exp-log_binary64_116`
8×	`flip-+_binary64_52` `flip3-+_binary64_81`
4×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
2×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77` `pow1_binary64_139`
1×	`flip3--_binary64_82` `flip--_binary64_53` `associate-/l/_binary64_25`

Counts

2 → 182

Calls

2 calls:

20.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series86.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
26.0ms	(/.f64 v (+.f64 t1 u))

simplify90.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5011	5524

prune187.0ms (5.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	181	7	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	181	9	190

Merged error: 0b

Counts

190 → 9

Compiler

Compiled 4405 to 1520 computations (65.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.8b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
1.1b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

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_30` `distribute-lft-out_binary64_29`
6×	`cbrt-undiv_binary64_112` `associate-/l*_binary64_23` `unswap-sqr_binary64_46` `pow1_binary64_139`
4×	`cbrt-unprod_binary64_111` `div-inv_binary64_75`
3×	`add-log-exp_binary64_117` `1-exp_binary64_122` `rec-exp_binary64_128`
2×	`flip-+_binary64_52` `flip3--_binary64_82` `frac-2neg_binary64_89` `flip--_binary64_53` `clear-num_binary64_77` `flip3-+_binary64_81`
1×	`-commutative_binary64_9` `inv-pow_binary64_163` `un-div-inv_binary64_76` `frac-times_binary64_88` `pow-flip_binary64_152` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `associate-*r/_binary64_20`

Counts

3 → 151

Calls

3 calls:

25.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
11.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series115.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

64.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
27.0ms	(/.f64 v (+.f64 t1 u))
24.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

simplify82.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5635	2687

prune138.0ms (3.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	160	9	169

Merged error: 0b

Counts

169 → 9

Compiler

Compiled 3159 to 1397 computations (55.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
0.6b	(cbrt.f64 v)
0.6b	(cbrt.f64 v)
2.6b	(.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (/.f64 (cbrt.f64 v) (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite103.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

359×	`times-frac_binary64_84`
287×	`add-sqr-sqrt_binary64_100`
260×	`*-un-lft-identity_binary64_78`
186×	`associate-r_binary64_18`
128×	`add-cube-cbrt_binary64_113`
82×	`cbrt-prod_binary64_109`
60×	`difference-of-squares_binary64_47`
36×	`distribute-lft-out_binary64_29`
30×	`distribute-lft-out--_binary64_30`
25×	`add-exp-log_binary64_116`
17×	`add-cbrt-cube_binary64_114`
14×	`associate-/r/_binary64_24`
9×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow1_binary64_139`
7×	`div-inv_binary64_75`
6×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `flip-+_binary64_52` `flip3-+_binary64_81`
4×	`add-log-exp_binary64_117` `unswap-sqr_binary64_46`
3×	`pow1/3_binary64_160` `pow-prod-down_binary64_149`
1×	`-commutative_binary64_9` `associate-l_binary64_19` `flip3--_binary64_82` `flip--_binary64_53` `associate-r/_binary64_20`

Counts

4 → 247

Calls

4 calls:

61.0ms	(.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (/.f64 (cbrt.f64 v) (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
1.0ms	(cbrt.f64 v)
1.0ms	(cbrt.f64 v)
1.0ms	(cbrt.f64 v)

series334.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (/.f64 (cbrt.f64 v) (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
85.0ms	(cbrt.f64 v)
85.0ms	(cbrt.f64 v)
76.0ms	(cbrt.f64 v)

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5106	5753

prune300.0ms (8.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	259	9	268

Merged error: 0b

Counts

268 → 9

Compiler

Compiled 7394 to 2760 computations (62.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
3.7b	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))

rewrite35.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_100`
26×	`cancel-sign-sub-inv_binary64_44`
24×	`*-un-lft-identity_binary64_78`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
14×	`distribute-lft-in_binary64_27` `distribute-rgt-in_binary64_28`
9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
8×	`frac-times_binary64_88` `associate-/r/_binary64_24`
6×	`flip-+_binary64_52` `flip3--_binary64_82` `associate-r_binary64_18` `flip--_binary64_53` `flip3-+_binary64_81`
4×	`associate-l_binary64_19` `associate-l/_binary64_21` `associate-r/_binary64_20` `pow1_binary64_139`
3×	`div-inv_binary64_75` `associate-/l*_binary64_23`
2×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `difference-of-squares_binary64_47` `sub-neg_binary64_71`
1×	`-commutative_binary64_9` `distribute-lft-out--_binary64_30` `frac-2neg_binary64_89` `associate-/r_binary64_22` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `clear-num_binary64_77` `distribute-lft-out_binary64_29`

Counts

2 → 87

Calls

2 calls:

15.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
13.0ms	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))

series80.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

62.0ms	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
18.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5205	1732

prune64.0ms (1.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	93	9	102

Merged error: 0b

Counts

102 → 9

Compiler

Compiled 1642 to 527 computations (67.9% saved)

regimes238.0ms (6.5%)

Compiler: Compiled 2891 to 1938 computations (33% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample1.0s (27.8%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
11.0ms	297×	body	128	invalid

Compiler

Compiled 730 to 490 computations (32.9% saved)

Details

analyze253.0ms (6.9%)

sample19.0ms (0.5%)

simplify243.0ms (6.6%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite46.0ms (1.2%)

series86.0ms (2.3%)

simplify90.0ms (2.5%)

prune187.0ms (5.1%)

localize8.0ms (0.2%)

rewrite55.0ms (1.5%)

series115.0ms (3.1%)

simplify82.0ms (2.2%)

prune138.0ms (3.8%)

localize12.0ms (0.3%)

rewrite103.0ms (2.8%)

series334.0ms (9.1%)

simplify74.0ms (2%)

prune300.0ms (8.2%)

localize8.0ms (0.2%)

rewrite35.0ms (1%)

series80.0ms (2.2%)

simplify61.0ms (1.7%)

prune64.0ms (1.8%)

regimes238.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (27.8%)

Profiling