Details

analyze232.0ms (11.6%)

Algorithm

1×

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
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
14%	56.2%	29.8%	8
14%	36.7%	49.3%	9
14.8%	30.4%	54.8%	10
15.5%	28.3%	56.2%	11
16.4%	18.3%	65.2%	12
17.2%	15.2%	67.6%	13
17.7%	14.2%	68.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample27.0ms (1.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	56×	body	128	invalid
2.0ms	71×	body	128	nan

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify248.0ms (12.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4948	12
1	4948	12

prune3.0ms (0.2%)

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

Merged error: 0b

Counts

2 → 2

Compiler

Compiled 25 to 22 computations (12% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (log.f64 y)))
0.0b	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
0.0b	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
0.3b	(*.f64 y (log.f64 y))

rewrite28.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-log-exp_binary64_9212` `add-sqr-sqrt_binary64_9197`
15×	`*-un-lft-identity_binary64_9176`
12×	`log-prod_binary64_9259`
11×	`add-cube-cbrt_binary64_9208`
7×	`pow1_binary64_9234`
6×	`distribute-rgt-in_binary64_9128` `distribute-lft-in_binary64_9127` `add-exp-log_binary64_9211` `associate-+r+_binary64_9110` `add-cbrt-cube_binary64_9209`
5×	`exp-prod_binary64_9225`
4×	`associate-r_binary64_9118` `diff-log_binary64_9265`
3×	`associate-l_binary64_9119` `sum-log_binary64_9264` `rem-exp-log_binary64_9213`
2×	`associate--l+_binary64_9115` `difference-of-squares_binary64_9145` `sub-neg_binary64_9169` `exp-sum_binary64_9219` `distribute-lft-out--_binary64_9130`
1×	`unswap-sqr_binary64_9144` `prod-exp_binary64_9222` `cbrt-unprod_binary64_9206` `pow-prod-down_binary64_9244` `log-pow_binary64_9262` `flip-+_binary64_9150` `*-commutative_binary64_9109` `flip3-+_binary64_9179` `exp-diff_binary64_9221` `+-commutative_binary64_9108` `flip--_binary64_9151` `flip3--_binary64_9180`

Counts

4 → 75

Calls

4 calls:

7.0ms	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
6.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
5.0ms	(*.f64 y (log.f64 y))
4.0ms	(+.f64 x (*.f64 y (log.f64 y)))

series336.0ms (16.7%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(*.f64 y (log.f64 y))
76.0ms	(+.f64 x (*.f64 y (log.f64 y)))
69.0ms	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
59.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)

simplify62.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4939	1096
1	4939	1096

prune55.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Merged error: 0b

Counts

89 → 2

Compiler

Compiled 1205 to 323 computations (73.2% saved)

localize7.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

2 → 2

Compiler

Compiled 0 to 0 computations (0% saved)

regimes60.0ms (3%)

Compiler: Compiled 179 to 175 computations (2.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms (0%)

sample932.0ms (46.4%)

Algorithm

1×

intervals

Results

387.0ms	8000×	body	128	valid
89.0ms	1839×	body	128	invalid
83.0ms	2365×	body	128	nan

Compiler

Compiled 45 to 43 computations (4.4% saved)

Details

analyze232.0ms (11.6%)

sample27.0ms (1.4%)

simplify248.0ms (12.3%)

prune3.0ms (0.2%)

localize8.0ms (0.4%)

rewrite28.0ms (1.4%)

series336.0ms (16.7%)

simplify62.0ms (3.1%)

prune55.0ms (2.7%)

localize7.0ms (0.3%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.4%)

prune0.0ms (0%)

regimes60.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample932.0ms (46.4%)

Profiling