Details

analyze426.0ms (8%)

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)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify153.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune5.0ms (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

0.6b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite57.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

233×	`times-frac_binary64_84`
194×	`add-sqr-sqrt_binary64_100`
184×	`*-un-lft-identity_binary64_78`
94×	`add-cube-cbrt_binary64_113`
40×	`difference-of-squares_binary64_47`
25×	`distribute-lft-out_binary64_29`
21×	`associate-/l*_binary64_23`
20×	`distribute-lft-out--_binary64_30`
18×	`associate-/r/_binary64_24`
13×	`cancel-sign-sub-inv_binary64_44`
10×	`add-cbrt-cube_binary64_114` `div-inv_binary64_75` `associate-/r*_binary64_22` `add-exp-log_binary64_116`
8×	`flip-+_binary64_52` `flip3-+_binary64_81`
5×	`add-log-exp_binary64_117`
4×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
3×	`pow1_binary64_139`
2×	`flip3--_binary64_82` `frac-2neg_binary64_89` `flip--_binary64_53` `clear-num_binary64_77`
1×	`diff-log_binary64_170` `associate-/l/_binary64_25` `sub-neg_binary64_71`

Counts

3 → 209

Calls

3 calls:

17.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 v (+.f64 t1 u))

series110.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

69.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
28.0ms	(/.f64 v (+.f64 t1 u))
12.0ms	(-.f64 -1 (/.f64 u t1))

simplify99.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4988	5856
1	4988	5856

prune213.0ms (4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	210	8	218
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	212	8	220

Error

0.3b

Counts

220 → 8

Compiler

Compiled 4878 to 1682 computations (65.5% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.1b	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
8.4b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
8.4b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
8.4b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite50.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_100`
18×	`cbrt-div_binary64_110` `cbrt-prod_binary64_109`
16×	`add-exp-log_binary64_116`
13×	`*-un-lft-identity_binary64_78`
9×	`flip3--_binary64_82` `flip--_binary64_53`
8×	`add-cbrt-cube_binary64_114` `associate-/r/_binary64_24`
7×	`add-cube-cbrt_binary64_113`
6×	`difference-of-squares_binary64_47`
4×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `times-frac_binary64_84` `frac-times_binary64_88` `pow1_binary64_139`
3×	`distribute-lft-out--_binary64_30` `pow1/3_binary64_160`
2×	`associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-/r_binary64_22` `clear-num_binary64_77`

Counts

4 → 77

Calls

4 calls:

21.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series798.0ms (14.9%)

Counts

4 → 12

Calls

4 calls:

265.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
179.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
177.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
177.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4930	1657
1	4930	1657

prune132.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	89	8	97

Error

0.3b

Counts

97 → 8

Compiler

Compiled 3526 to 1625 computations (53.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 (+.f64 t1 u) v)
0.4b	(/.f64 1 (/.f64 (+.f64 t1 u) v))
1.1b	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))

rewrite135.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

1078×	`times-frac_binary64_84`
685×	`add-sqr-sqrt_binary64_100`
678×	`*-un-lft-identity_binary64_78`
410×	`add-cube-cbrt_binary64_113`
110×	`difference-of-squares_binary64_47`
79×	`distribute-lft-out_binary64_29`
60×	`associate-/l*_binary64_23`
55×	`distribute-lft-out--_binary64_30`
36×	`div-inv_binary64_75` `add-exp-log_binary64_116`
25×	`associate-/r*_binary64_22`
22×	`div-exp_binary64_129`
20×	`add-cbrt-cube_binary64_114`
13×	`cancel-sign-sub-inv_binary64_44`
10×	`cbrt-undiv_binary64_112` `associate-/r/_binary64_24`
6×	`add-log-exp_binary64_117`
5×	`pow1_binary64_139`
4×	`1-exp_binary64_122` `rec-exp_binary64_128`
3×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25`
2×	`flip3--_binary64_82` `flip--_binary64_53`
1×	`inv-pow_binary64_163` `flip-+_binary64_52` `diff-log_binary64_170` `pow-flip_binary64_152` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

4 → 548

Calls

4 calls:

26.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
11.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 (+.f64 t1 u) v)

series197.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
62.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
20.0ms	(/.f64 (+.f64 t1 u) v)
12.0ms	(-.f64 -1 (/.f64 u t1))

simplify203.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

560 → 560

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5564	17888

prune645.0ms (12.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	557	3	560
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	561	7	568

Error

0.3b

Counts

568 → 7

Compiler

Compiled 14071 to 5475 computations (61.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 1 (+.f64 t1 u))
0.6b	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
3.5b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite59.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

106×	`add-sqr-sqrt_binary64_100`
84×	`times-frac_binary64_84`
81×	`*-un-lft-identity_binary64_78`
49×	`add-cube-cbrt_binary64_113`
32×	`add-exp-log_binary64_116`
24×	`associate-r_binary64_18`
20×	`add-cbrt-cube_binary64_114`
18×	`associate-l_binary64_19`
16×	`difference-of-squares_binary64_47`
13×	`cancel-sign-sub-inv_binary64_44`
11×	`div-exp_binary64_129`
10×	`associate-/r*_binary64_22`
8×	`prod-exp_binary64_127` `distribute-lft-out--_binary64_30` `associate-/r/_binary64_24`
7×	`distribute-lft-out_binary64_29` `pow1_binary64_139`
6×	`add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `associate-/l*_binary64_23` `unswap-sqr_binary64_46`
5×	`div-inv_binary64_75`
4×	`cbrt-unprod_binary64_111`
3×	`flip3--_binary64_82` `1-exp_binary64_122` `flip--_binary64_53` `rec-exp_binary64_128`
2×	`flip-+_binary64_52` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81`
1×	`-commutative_binary64_9` `inv-pow_binary64_163` `diff-log_binary64_170` `frac-times_binary64_88` `pow-flip_binary64_152` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `associate-*r/_binary64_20` `sub-neg_binary64_71`

Counts

4 → 177

Calls

4 calls:

23.0ms	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
8.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 1 (+.f64 t1 u))

series169.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
32.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
21.0ms	(/.f64 1 (+.f64 t1 u))
11.0ms	(-.f64 -1 (/.f64 u t1))

simplify72.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5205	2983

prune151.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	189	7	196

Error

0.3b

Counts

196 → 7

Compiler

Compiled 3532 to 1669 computations (52.7% saved)

regimes320.0ms (6%)

Accuracy

Total 1.1b remaining (83.2%)

Threshold costs 0b (0%)

Compiler

Compiled 3971 to 2626 computations (33.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample1.2s (22.4%)

Algorithm

1×

intervals

Results

265.0ms	8000×	body	128	valid
7.0ms	220×	body	128	invalid

Compiler

Compiled 1000 to 662 computations (33.8% saved)

Details

analyze426.0ms (8%)

sample16.0ms (0.3%)

simplify153.0ms (2.9%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite57.0ms (1.1%)

series110.0ms (2.1%)

simplify99.0ms (1.9%)

prune213.0ms (4%)

localize16.0ms (0.3%)

rewrite50.0ms (0.9%)

series798.0ms (14.9%)

simplify98.0ms (1.8%)

prune132.0ms (2.5%)

localize9.0ms (0.2%)

rewrite135.0ms (2.5%)

series197.0ms (3.7%)

simplify203.0ms (3.8%)

prune645.0ms (12.1%)

localize11.0ms (0.2%)

rewrite59.0ms (1.1%)

series169.0ms (3.2%)

simplify72.0ms (1.3%)

prune151.0ms (2.8%)

regimes320.0ms (6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (22.4%)

Profiling