Details

analyze122.0ms (1.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	143
1	186	143
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Symmetry

(sort a b c d e)

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample60.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	256×	pre	128	true
8.0ms	256×	body	128	valid

Compiler

Compiled 30 to 30 computations (0% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	186	13
1	186	13

prune3.0ms (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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(+.f64 (+.f64 e d) c)
0.3b	(+.f64 (+.f64 (+.f64 e d) c) b)
0.3b	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

rewrite98.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64_4550` `*-un-lft-identity_binary64_4511`
19×	`sum-log_binary64_4602` `distribute-lft-out_binary64_4462`
3×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `flip3-+_binary64_4514` `flip-+_binary64_4485` `associate-+l+_binary64_4444` `+-commutative_binary64_4441`

Counts

3 → 51

Calls

3 calls:

23.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
19.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
6.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 808 to 196 computations (75.7% saved)

series372.0ms (4.3%)

Error

0.0b

Counts

3 → 72

Calls

3 calls:

163.0ms	(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
104.0ms	(+.f64 (+.f64 (+.f64 e d) c) b)
70.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 1268 to 939 computations (25.9% saved)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4853	1230
1	4853	1230

prune87.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	116	7	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	7	124

Error

0.0b

Counts

124 → 7

Compiler

Compiled 1307 to 282 computations (78.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(+.f64 (+.f64 e d) c)
0.3b	(+.f64 (+.f64 (+.f64 e d) c) (+.f64 a b))

rewrite86.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-log-exp_binary64_4550` `*-un-lft-identity_binary64_4511`
18×	`sum-log_binary64_4602` `distribute-lft-out_binary64_4462`
6×	`flip3-+_binary64_4514` `flip-+_binary64_4485`
4×	`frac-add_binary64_4519`
2×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `associate-+l+_binary64_4444` `+-commutative_binary64_4441`
1×	`associate-+r+_binary64_4443`

Counts

2 → 43

Calls

2 calls:

23.0ms	(+.f64 (+.f64 (+.f64 e d) c) (+.f64 a b))
11.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 829 to 179 computations (78.4% saved)

series258.0ms (3%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

156.0ms	(+.f64 (+.f64 (+.f64 e d) c) (+.f64 a b))
81.0ms	(+.f64 (+.f64 e d) c)

Compiler

Compiled 840 to 624 computations (25.7% saved)

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5061	1176

prune75.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	92	6	98

Error

Counts

98 → 6

Compiler

Compiled 1162 to 237 computations (79.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(+.f64 (+.f64 b c) e)
0.2b	(+.f64 d (+.f64 (+.f64 b c) e))
0.3b	(+.f64 (+.f64 d (+.f64 (+.f64 b c) e)) a)

rewrite81.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64_4550` `*-un-lft-identity_binary64_4511`
19×	`sum-log_binary64_4602` `distribute-lft-out_binary64_4462`
3×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `flip3-+_binary64_4514` `flip-+_binary64_4485` `+-commutative_binary64_4441`
2×	`associate-+l+_binary64_4444`
1×	`associate-+r+_binary64_4443`

Counts

3 → 51

Calls

3 calls:

15.0ms	(+.f64 d (+.f64 (+.f64 b c) e))
12.0ms	(+.f64 (+.f64 d (+.f64 (+.f64 b c) e)) a)
7.0ms	(+.f64 (+.f64 b c) e)

Compiler

Compiled 808 to 196 computations (75.7% saved)

series324.0ms (3.8%)

Error

Counts

3 → 72

Calls

3 calls:

142.0ms	(+.f64 (+.f64 d (+.f64 (+.f64 b c) e)) a)
103.0ms	(+.f64 d (+.f64 (+.f64 b c) e))
55.0ms	(+.f64 (+.f64 b c) e)

Compiler

Compiled 1268 to 930 computations (26.7% saved)

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4815	1239
1	4815	1239

prune106.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Error

Counts

129 → 6

Compiler

Compiled 1303 to 247 computations (81% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (.f64 d d) (.f64 (+.f64 e (+.f64 b c)) (+.f64 e (+.f64 b c)))) (-.f64 d (+.f64 e (+.f64 b c))))
0.4b	(-.f64 (.f64 d d) (.f64 (+.f64 e (+.f64 b c)) (+.f64 e (+.f64 b c))))
0.5b	(-.f64 d (+.f64 e (+.f64 b c)))
0.5b	(*.f64 (+.f64 e (+.f64 b c)) (+.f64 e (+.f64 b c)))

rewrite231.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

125×	`*-un-lft-identity_binary64_4511`
45×	`distribute-lft-out_binary64_4462`
36×	`add-sqr-sqrt_binary64_4533`
28×	`times-frac_binary64_4517`
22×	`add-cube-cbrt_binary64_4546`
18×	`distribute-lft-out--_binary64_4463`
15×	`add-log-exp_binary64_4550` `difference-of-squares_binary64_4480`
11×	`pow1_binary64_4572` `swap-sqr_binary64_4478`
8×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
7×	`associate-/r*_binary64_4455`
6×	`flip3-+_binary64_4514` `flip-+_binary64_4485` `cancel-sign-sub-inv_binary64_4477`
5×	`associate-l_binary64_4452` `associate-r_binary64_4451`
4×	`frac-times_binary64_4521` `diff-log_binary64_4603` `flip3--_binary64_4515` `flip--_binary64_4486` `associate-/l*_binary64_4456`
3×	`sum-log_binary64_4602` `associate--r+_binary64_4447`
2×	`distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `associate-l/_binary64_4454` `associate-r/_binary64_4453` `sub-neg_binary64_4504` `associate-/l/_binary64_4458` `associate-/r/_binary64_4457`
1×	`pow2_binary64_4592` `pow-prod-down_binary64_4582` `pow-prod-up_binary64_4581` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-sqr_binary64_4484` `unswap-sqr_binary64_4479` `*-commutative_binary64_4442` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `frac-2neg_binary64_4522` `div-sub_binary64_4516` `clear-num_binary64_4510` `div-inv_binary64_4508`

Counts

4 → 141

Calls

4 calls:

26.0ms	(*.f64 (+.f64 e (+.f64 b c)) (+.f64 e (+.f64 b c)))
14.0ms	(/.f64 (-.f64 (.f64 d d) (.f64 (+.f64 e (+.f64 b c)) (+.f64 e (+.f64 b c)))) (-.f64 d (+.f64 e (+.f64 b c))))
12.0ms	(-.f64 d (+.f64 e (+.f64 b c)))
4.0ms	(-.f64 (.f64 d d) (.f64 (+.f64 e (+.f64 b c)) (+.f64 e (+.f64 b c))))

Compiler

Compiled 5362 to 729 computations (86.4% saved)

series2.9s (33.9%)

Error

Counts

4 → 115

Calls

4 calls:

1.5s	(/.f64 (-.f64 (.f64 d d) (.f64 (+.f64 e (+.f64 b c)) (+.f64 e (+.f64 b c)))) (-.f64 d (+.f64 e (+.f64 b c))))
837.0ms	(-.f64 (.f64 d d) (.f64 (+.f64 e (+.f64 b c)) (+.f64 e (+.f64 b c))))
222.0ms	(*.f64 (+.f64 e (+.f64 b c)) (+.f64 e (+.f64 b c)))
147.0ms	(-.f64 d (+.f64 e (+.f64 b c)))

Compiler

Compiled 12016 to 6516 computations (45.8% saved)

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4996	8851
1	4996	8851

prune368.0ms (4.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	256	6	262

Error

Counts

262 → 6

Compiler

Compiled 9116 to 2169 computations (76.2% saved)

regimes922.0ms (10.8%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 7126 to 5917 computations (17% saved)

bsearch0.0ms (0%)

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

Remove

(sort a b c d e)

Compiler

Compiled 30 to 30 computations (0% saved)

end0.0ms (0%)

sample2.1s (24.1%)

Algorithm

1×

intervals

Results

446.0ms	8000×	pre	128	true
262.0ms	8000×	body	128	valid

Compiler

Compiled 781 to 644 computations (17.5% saved)

Details

analyze122.0ms (1.4%)

sample60.0ms (0.7%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite98.0ms (1.1%)

series372.0ms (4.3%)

simplify64.0ms (0.8%)

prune87.0ms (1%)

localize7.0ms (0.1%)

rewrite86.0ms (1%)

series258.0ms (3%)

simplify43.0ms (0.5%)

prune75.0ms (0.9%)

localize7.0ms (0.1%)

rewrite81.0ms (0.9%)

series324.0ms (3.8%)

simplify105.0ms (1.2%)

prune106.0ms (1.2%)

localize11.0ms (0.1%)

rewrite231.0ms (2.7%)

series2.9s (33.9%)

simplify135.0ms (1.6%)

prune368.0ms (4.3%)

regimes922.0ms (10.8%)

bsearch0.0ms (0%)

simplify22.0ms (0.3%)

end0.0ms (0%)

sample2.1s (24.1%)

Profiling