Details

analyze495.0ms (1.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	52
1	489	52
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
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

Symmetry

(sort y z)

Compiler

Compiled 10 to 9 computations (10% saved)

sample814.0ms (2.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
6.0ms	150×	body	128	invalid

Compiler

Compiled 4079 to 4892 computations (-19.9% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	231	13
1	231	13

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_6596`
1×	`diff-log_binary64_6649` `pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `flip3--_binary64_6561` `*-un-lft-identity_binary64_6557` `sub-neg_binary64_6550` `flip--_binary64_6532` `cancel-sign-sub-inv_binary64_6523`

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

Compiler

Compiled 231 to 124 computations (46.3% saved)

series238.0ms (0.8%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

228.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

Compiler

Compiled 317 to 279 computations (12% saved)

simplify64.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4982	396
1	4982	396

prune22.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

0.0b

Counts

31 → 2

Compiler

Compiled 341 to 157 computations (54% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (pow.f64 x 4) (.f64 z (.f64 (.f64 y 4) (+.f64 (.f64 x x) (.f64 (.f64 z y) 4)))))
1.1b	(+.f64 (pow.f64 x 6) (pow.f64 (.f64 -4 (.f64 z y)) 3))
5.7b	(.f64 z (.f64 (.f64 y 4) (+.f64 (.f64 x x) (.f64 (.f64 z y) 4))))
37.7b	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 -4 (.f64 z y)) 3)) (+.f64 (pow.f64 x 4) (.f64 z (.f64 (.f64 y 4) (+.f64 (.f64 x x) (.f64 (.f64 z y) 4))))))

rewrite254.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`*-un-lft-identity_binary64_6557`
15×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
14×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579`
13×	`pow1_binary64_6618`
12×	`times-frac_binary64_6563`
8×	`add-log-exp_binary64_6596` `distribute-rgt-in_binary64_6507` `distribute-lft-in_binary64_6506`
6×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
5×	`distribute-lft-out_binary64_6508` `flip3-+_binary64_6560` `flip-+_binary64_6531`
4×	`associate-/l_binary64_6502` `associate-r/_binary64_6499` `associate-+r+_binary64_6489`
3×	`associate-/r_binary64_6501` `associate-l*_binary64_6498`
2×	`associate-/l/_binary64_6504` `associate-/r/_binary64_6503` `sum-log_binary64_6648` `+-commutative_binary64_6487`
1×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568` `clear-num_binary64_6556` `div-inv_binary64_6554` `associate-r_binary64_6497` `*-commutative_binary64_6488`

Counts

4 → 89

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 -4 (.f64 z y)) 3)) (+.f64 (pow.f64 x 4) (.f64 z (.f64 (.f64 y 4) (+.f64 (.f64 x x) (.f64 (.f64 z y) 4))))))
10.0ms	(.f64 z (.f64 (.f64 y 4) (+.f64 (.f64 x x) (.f64 (.f64 z y) 4))))
7.0ms	(+.f64 (pow.f64 x 6) (pow.f64 (.f64 -4 (.f64 z y)) 3))
5.0ms	(+.f64 (pow.f64 x 4) (.f64 z (.f64 (.f64 y 4) (+.f64 (.f64 x x) (.f64 (.f64 z y) 4)))))

Compiler

Compiled 4380 to 2612 computations (40.4% saved)

series3.0s (10.6%)

Error

0.0b

Counts

4 → 81

Calls

4 calls:

994.0ms	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 -4 (.f64 z y)) 3)) (+.f64 (pow.f64 x 4) (.f64 z (.f64 (.f64 y 4) (+.f64 (.f64 x x) (.f64 (.f64 z y) 4))))))
725.0ms	(+.f64 (pow.f64 x 4) (.f64 z (.f64 (.f64 y 4) (+.f64 (.f64 x x) (.f64 (.f64 z y) 4)))))
699.0ms	(+.f64 (pow.f64 x 6) (pow.f64 (.f64 -4 (.f64 z y)) 3))
499.0ms	(.f64 z (.f64 (.f64 y 4) (+.f64 (.f64 x x) (.f64 (.f64 z y) 4))))

Compiler

Compiled 4862 to 3690 computations (24.1% saved)

simplify93.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5282	4936

prune302.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	170	2	172

Error

0.0b

Counts

172 → 2

Compiler

Compiled 5772 to 3342 computations (42.1% saved)

regimes116.0ms (0.4%)

Accuracy

Total 0.0b remaining (61.9%)

Threshold costs 0.0b (61.9%)

Compiler

Compiled 851 to 666 computations (21.7% saved)

bsearch0.0ms (0%)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

Remove

(sort y z)

Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample23.0s (80.7%)

Algorithm

1×

intervals

Results

217.0ms	8000×	body	128	valid
184.0ms	4308×	body	128	invalid

Compiler

Compiled 123214 to 147802 computations (-20% saved)

Details

analyze495.0ms (1.7%)

sample814.0ms (2.9%)

simplify15.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite19.0ms (0.1%)

series238.0ms (0.8%)

simplify64.0ms (0.2%)

prune22.0ms (0.1%)

localize21.0ms (0.1%)

rewrite254.0ms (0.9%)

series3.0s (10.6%)

simplify93.0ms (0.3%)

prune302.0ms (1.1%)

regimes116.0ms (0.4%)

bsearch0.0ms (0%)

simplify9.0ms (0%)

end0.0ms (0%)

sample23.0s (80.7%)

Profiling