Details

analyze226.0ms (11.9%)

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)

sample30.0ms (1.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	72×	body	128	invalid
3.0ms	87×	body	128	nan

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify163.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5007	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

Error

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

rewrite26.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_9307`
17×	`*-un-lft-identity_binary64_9285` `add-log-exp_binary64_9324`
13×	`add-cube-cbrt_binary64_9320`
12×	`log-prod_binary64_9371`
7×	`pow1_binary64_9346`
6×	`associate-+r+_binary64_9217` `cancel-sign-sub-inv_binary64_9251` `distribute-lft-in_binary64_9234` `distribute-rgt-in_binary64_9235` `add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
5×	`exp-sum_binary64_9331` `exp-prod_binary64_9337`
4×	`associate-r_binary64_9225` `diff-log_binary64_9377`
3×	`associate-l_binary64_9226` `rem-exp-log_binary64_9325` `sum-log_binary64_9376`
2×	`sub-neg_binary64_9278` `associate--l+_binary64_9222` `difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237`
1×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `pow-prod-down_binary64_9356` `log-pow_binary64_9374` `unswap-sqr_binary64_9253` `exp-diff_binary64_9333` `flip--_binary64_9260` `flip3--_binary64_9289` `flip-+_binary64_9259` `*-commutative_binary64_9216` `flip3-+_binary64_9288` `+-commutative_binary64_9215`

Counts

4 → 81

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)))

series172.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(*.f64 y (log.f64 y))
37.0ms	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
36.0ms	(+.f64 x (*.f64 y (log.f64 y)))
29.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)

simplify72.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4974	1147
1	4974	1147

prune56.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	93	2	95

Error

Counts

95 → 2

Compiler

Compiled 1265 to 323 computations (74.5% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_9307`
7×	`associate-l_binary64_9226` `associate-r_binary64_9225`
5×	`*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
4×	`exp-sum_binary64_9331` `unpow-prod-down_binary64_9364`
3×	`cancel-sign-sub-inv_binary64_9251` `prod-exp_binary64_9334` `unswap-sqr_binary64_9253` `add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
2×	`sqr-pow_binary64_9257`
1×	`cbrt-unprod_binary64_9318` `sub-neg_binary64_9278` `pow-exp_binary64_9353` `exp-diff_binary64_9333` `pow1_binary64_9346` `add-log-exp_binary64_9324` `associate-r/_binary64_9227` `-commutative_binary64_9216` `pow-to-exp_binary64_9354`

Counts

1 → 30

Calls

1 calls:

10.0ms

(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

series69.0ms (3.6%)

Counts

1 → 3

Calls

1 calls:

69.0ms

(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

simplify56.0ms (3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5352	477

prune18.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	33	2	35

Error

Counts

35 → 2

Compiler

Compiled 438 to 92 computations (79% saved)

regimes60.0ms (3.1%)

Accuracy

Total 0.0b remaining (67.7%)

Threshold costs 0.0b (67.7%)

Compiler

Compiled 179 to 175 computations (2.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms (0%)

sample914.0ms (48.3%)

Algorithm

1×

intervals

Results

372.0ms	8000×	body	128	valid
86.0ms	1870×	body	128	invalid
81.0ms	2348×	body	128	nan

Compiler

Compiled 45 to 43 computations (4.4% saved)

Details

analyze226.0ms (11.9%)

sample30.0ms (1.6%)

simplify163.0ms (8.6%)

prune3.0ms (0.2%)

localize8.0ms (0.4%)

rewrite26.0ms (1.4%)

series172.0ms (9.1%)

simplify72.0ms (3.8%)

prune56.0ms (3%)

localize6.0ms (0.3%)

rewrite12.0ms (0.6%)

series69.0ms (3.6%)

simplify56.0ms (3%)

prune18.0ms (0.9%)

regimes60.0ms (3.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample914.0ms (48.3%)

Profiling