Details

analyze32.0ms (2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample18.0ms (1.1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
3.0ms	141×	body	128	invalid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify220.0ms (13.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	5723	9

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (exp.f64 (.f64 y y)))
0.0b	(.f64 x (exp.f64 (.f64 y y)))

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_16410`
3×	`add-cbrt-cube_binary64_16424` `pow1_binary64_16449` `associate-l_binary64_16329` `-un-lft-identity_binary64_16388` `add-cube-cbrt_binary64_16423` `associate-r*_binary64_16328`
2×	`add-exp-log_binary64_16426`
1×	`unswap-sqr_binary64_16356` `cbrt-unprod_binary64_16421` `prod-exp_binary64_16437` `pow-prod-down_binary64_16459` `add-log-exp_binary64_16427` `*-commutative_binary64_16319`

Counts

1 → 18

Calls

2 calls:

5.0ms	(.f64 x (exp.f64 (.f64 y y)))
0.0ms	(.f64 x (exp.f64 (.f64 y y)))

series65.0ms (4%)

Counts

1 → 8

Calls

1 calls:

65.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

Compiler

Compiled 106 to 98 computations (7.5% saved)

simplify42.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5000	284

prune19.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

Counts

27 → 2

Compiler

Compiled 258 to 63 computations (75.6% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 x (sqrt.f64 (exp.f64 (.f64 y y)))) (sqrt.f64 (exp.f64 (.f64 y y))))
0.0b	(.f64 x (sqrt.f64 (exp.f64 (.f64 y y))))
0.0b	(.f64 x (sqrt.f64 (exp.f64 (.f64 y y))))
0.0b	(.f64 (.f64 x (sqrt.f64 (exp.f64 (.f64 y y)))) (sqrt.f64 (exp.f64 (.f64 y y))))

rewrite19.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-r_binary64_16328`
11×	`add-sqr-sqrt_binary64_16410`
9×	`add-cbrt-cube_binary64_16424` `add-exp-log_binary64_16426` `pow1_binary64_16449`
7×	`*-un-lft-identity_binary64_16388` `add-cube-cbrt_binary64_16423` `sqrt-prod_binary64_16404`
4×	`cbrt-unprod_binary64_16421` `associate-l_binary64_16329` `prod-exp_binary64_16437` `pow-prod-down_binary64_16459`
2×	`unswap-sqr_binary64_16356` `add-log-exp_binary64_16427` `*-commutative_binary64_16319`

Counts

2 → 43

Calls

4 calls:

9.0ms	(.f64 (.f64 x (sqrt.f64 (exp.f64 (.f64 y y)))) (sqrt.f64 (exp.f64 (.f64 y y))))
6.0ms	(.f64 x (sqrt.f64 (exp.f64 (.f64 y y))))
0.0ms	(.f64 x (sqrt.f64 (exp.f64 (.f64 y y))))
0.0ms	(.f64 (.f64 x (sqrt.f64 (exp.f64 (.f64 y y)))) (sqrt.f64 (exp.f64 (.f64 y y))))

series162.0ms (9.8%)

Counts

2 → 16

Calls

2 calls:

92.0ms	(.f64 x (sqrt.f64 (exp.f64 (.f64 y y))))
70.0ms	(.f64 (.f64 x (sqrt.f64 (exp.f64 (.f64 y y)))) (sqrt.f64 (exp.f64 (.f64 y y))))

Compiler

Compiled 312 to 268 computations (14.1% saved)

simplify85.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4979	731
1	4979	731

prune40.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	59	2	61

Error

Counts

61 → 2

Compiler

Compiled 836 to 178 computations (78.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	73
1	35	73

regimes64.0ms (3.9%)

Accuracy

Total 0.0b remaining (29.5%)

Threshold costs 0.0b (29.5%)

Compiler

Compiled 285 to 257 computations (9.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample862.0ms (52.2%)

Algorithm

1×

intervals

Results

191.0ms	8000×	body	128	valid
99.0ms	4122×	body	128	invalid

Compiler

Compiled 166 to 148 computations (10.8% saved)

Pareto

0.9794918520201881

Details

analyze32.0ms (2%)

sample18.0ms (1.1%)

simplify220.0ms (13.3%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite6.0ms (0.4%)

series65.0ms (4%)

simplify42.0ms (2.5%)

prune19.0ms (1.2%)

localize6.0ms (0.4%)

rewrite19.0ms (1.1%)

series162.0ms (9.8%)

simplify85.0ms (5.1%)

prune40.0ms (2.4%)

simplify2.0ms (0.1%)

regimes64.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample862.0ms (52.2%)

Profiling