Details

analyze371.0ms (14.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4986	48
1	4986	48
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
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)

sample28.0ms (1.1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
3.0ms	70×	body	128	invalid
3.0ms	80×	body	128	nan

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify72.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5007	12

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

0.0b

Counts

2 → 2

Compiler

Compiled 25 to 22 computations (12% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite27.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_11012`
17×	`add-log-exp_binary64_11029` `*-un-lft-identity_binary64_10990`
13×	`add-cube-cbrt_binary64_11025`
12×	`log-prod_binary64_11076`
7×	`pow1_binary64_11051`
6×	`associate-+r+_binary64_10922` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `cancel-sign-sub-inv_binary64_10956`
5×	`exp-sum_binary64_11036` `exp-prod_binary64_11042`
4×	`associate-r_binary64_10930` `diff-log_binary64_11082`
3×	`sum-log_binary64_11081` `rem-exp-log_binary64_11030` `associate-l_binary64_10931`
2×	`associate--l+_binary64_10927` `distribute-lft-out--_binary64_10942` `sub-neg_binary64_10983` `difference-of-squares_binary64_10959`
1×	`flip3--_binary64_10994` `prod-exp_binary64_11039` `log-pow_binary64_11079` `flip--_binary64_10965` `unswap-sqr_binary64_10958` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920` `cbrt-unprod_binary64_11023` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061` `exp-diff_binary64_11038`

Counts

4 → 81

Calls

4 calls:

6.0ms	(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)))

series165.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(*.f64 y (log.f64 y))
36.0ms	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
35.0ms	(+.f64 x (*.f64 y (log.f64 y)))
33.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)

simplify73.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4974	1147
1	4974	1147

prune58.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	93	2	95

Error

Counts

95 → 2

Compiler

Compiled 1286 to 326 computations (74.7% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cbrt.f64 (.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
0.5b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.5b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.5b	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite53.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_11012`
25×	`associate-r_binary64_10930` `associate-l_binary64_10931`
20×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
12×	`exp-sum_binary64_11036` `add-exp-log_binary64_11028` `unpow-prod-down_binary64_11069`
11×	`pow1_binary64_11051`
10×	`prod-exp_binary64_11039` `unswap-sqr_binary64_10958` `add-cbrt-cube_binary64_11026`
9×	`cancel-sign-sub-inv_binary64_10956`
8×	`associate-*r/_binary64_10932`
7×	`exp-diff_binary64_11038`
6×	`sqr-pow_binary64_10962` `pow1/3_binary64_11072`
4×	`add-log-exp_binary64_11029` `cbrt-div_binary64_11022` `cbrt-unprod_binary64_11023` `cbrt-prod_binary64_11021` `*-commutative_binary64_10921` `swap-sqr_binary64_10957`
3×	`sub-neg_binary64_10983` `pow-to-exp_binary64_11059` `pow-exp_binary64_11058`
2×	`pow-sqr_binary64_10963` `pow-prod-up_binary64_11060` `pow-prod-down_binary64_11061`
1×	`frac-times_binary64_11000` `pow-plus_binary64_11053` `pow2_binary64_11071` `associate-*l/_binary64_10933`

Counts

4 → 124

Calls

4 calls:

11.0ms	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
11.0ms	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
11.0ms	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
7.0ms	(.f64 (cbrt.f64 (.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))

series443.0ms (17.7%)

Counts

4 → 12

Calls

4 calls:

263.0ms	(.f64 (cbrt.f64 (.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
64.0ms	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
59.0ms	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
56.0ms	(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

simplify71.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5168	2095

prune113.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	2	138

Error

Counts

138 → 2

Compiler

Compiled 4411 to 514 computations (88.3% saved)

regimes85.0ms (3.4%)

Accuracy

Total 0.0b remaining (83%)

Threshold costs 0.0b (83%)

Compiler

Compiled 529 to 322 computations (39.1% 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%)

sample915.0ms (36.6%)

Algorithm

1×

intervals

Results

355.0ms	8000×	body	128	valid
82.0ms	1803×	body	128	invalid
79.0ms	2359×	body	128	nan

Compiler

Compiled 95 to 64 computations (32.6% saved)

Details

analyze371.0ms (14.9%)

sample28.0ms (1.1%)

simplify72.0ms (2.9%)

prune3.0ms (0.1%)

localize10.0ms (0.4%)

rewrite27.0ms (1.1%)

series165.0ms (6.6%)

simplify73.0ms (2.9%)

prune58.0ms (2.3%)

localize10.0ms (0.4%)

rewrite53.0ms (2.1%)

series443.0ms (17.7%)

simplify71.0ms (2.8%)

prune113.0ms (4.5%)

regimes85.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample915.0ms (36.6%)

Profiling