Details

analyze559.0ms (12%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	72
1	20	72
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
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
42.1%	57.7%	0.1%	10
49.1%	50.7%	0.1%	11
57.3%	42.5%	0.1%	12
66.9%	33%	0.1%	13
71.7%	28.2%	0.1%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample36.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	18
1	20	18

prune3.0ms (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

38.9b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
36.2b	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

38.9b

Rules

7×	`add-log-exp_binary64_14098`
4×	`add-sqr-sqrt_binary64_14081`
3×	`pow1_binary64_14120` `add-cube-cbrt_binary64_14094` `sqrt-prod_binary64_14075` `*-un-lft-identity_binary64_14059` `sum-log_binary64_14150`
2×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `flip3-+_binary64_14062` `sqrt-div_binary64_14076` `flip-+_binary64_14033`
1×	`pow1/2_binary64_14139` `sqrt-pow1_binary64_14077` `rem-sqrt-square_binary64_14072` `associate-+l+_binary64_13992` `+-commutative_binary64_13989`

Counts

2 → 28

Calls

2 calls:

7.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
7.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))

Compiler

Compiled 677 to 102 computations (84.9% saved)

series396.0ms (8.5%)

Error

0.2b

Counts

2 → 35

Calls

2 calls:

182.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
175.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))

Compiler

Compiled 1372 to 1209 computations (11.9% saved)

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5219	1343

prune53.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Error

0.2b

Counts

64 → 4

Compiler

Compiled 1087 to 260 computations (76.1% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.2b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

0.2b

Counts

4 → 4

Compiler

Compiled 29 to 15 computations (48.3% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.2b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

0.2b

Counts

4 → 4

Compiler

Compiled 27 to 11 computations (59.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))))
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))))
36.2b	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))
36.2b	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))

rewrite191.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

86×	`sqrt-prod_binary64_14075`
62×	`add-sqr-sqrt_binary64_14081`
38×	`sqrt-pow1_binary64_14077`
32×	`sqrt-div_binary64_14076`
31×	`pow1_binary64_14120`
20×	`pow1/2_binary64_14139` `add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
15×	`swap-sqr_binary64_14026`
12×	`rem-sqrt-square_binary64_14072`
9×	`flip3-+_binary64_14062` `flip-+_binary64_14033` `pow-prod-up_binary64_14129` `unswap-sqr_binary64_14027` `associate-l_binary64_14000` `associate-r_binary64_13999`
6×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
5×	`pow-prod-down_binary64_14130` `pow-sqr_binary64_14032`
4×	`add-log-exp_binary64_14098` `sqr-abs_binary64_14074` `frac-times_binary64_14069`
2×	`associate-l/_binary64_14002` `associate-r/_binary64_14001`
1×	`pow2_binary64_14140` `pow-plus_binary64_14122` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `sqrt-unprod_binary64_14079` `rem-square-sqrt_binary64_14071` `*-commutative_binary64_13990`

Counts

4 → 138

Calls

4 calls:

22.0ms	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))))
7.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))))
6.0ms	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))
6.0ms	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))

Compiler

Compiled 5920 to 468 computations (92.1% saved)

series921.0ms (19.8%)

Error

0.2b

Counts

4 → 65

Calls

4 calls:

271.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))))
190.0ms	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))
186.0ms	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))
182.0ms	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))))

Compiler

Compiled 5662 to 4038 computations (28.7% saved)

simplify115.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4955	5460
1	4955	5460

prune173.0ms (3.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	203	4	207

Error

0.2b

Counts

207 → 4

Compiler

Compiled 6150 to 1011 computations (83.6% saved)

regimes629.0ms (13.6%)

Accuracy

Total 12.6b remaining (96.6%)

Threshold costs 0b (0%)

Compiler

Compiled 2202 to 1677 computations (23.8% saved)

bsearch94.0ms (2%)

Steps

Iters	Range		Point
2	3.4211759964319617e+104	3.9880816964195487e+104	3.4920392089304095e+104
8	3.2731856940663666e+87	1.5359923002155645e+91	1.5165136515313232e+91
8	1.976798071650624e+59	7.023668569237257e+62	1.999825415585347e+59
7	793020.1478389167	32198982.06419439	31844652.308985993
6	1.1003228059695526e-41	1.2838797784938564e-40	1.1159320986222001e-41

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	64
1	32	64

Compiler

Compiled 86 to 46 computations (46.5% saved)

end0.0ms (0%)

sample1.3s (28.6%)

Algorithm

1×

intervals

Results

336.0ms

8000×

body

128

valid

Compiler

Compiled 262 to 193 computations (26.3% saved)

Details

analyze559.0ms (12%)

sample36.0ms (0.8%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite38.0ms (0.8%)

series396.0ms (8.5%)

simplify37.0ms (0.8%)

prune53.0ms (1.1%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite191.0ms (4.1%)

series921.0ms (19.8%)

simplify115.0ms (2.5%)

prune173.0ms (3.7%)

regimes629.0ms (13.6%)

bsearch94.0ms (2%)

simplify17.0ms (0.4%)

end0.0ms (0%)

sample1.3s (28.6%)

Profiling