Details

analyze453.0ms (12%)

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)

sample39.0ms (1%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
3.0ms	62×	body	128	nan
3.0ms	47×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify93.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5007	12

prune7.0ms (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)

localize16.0ms (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))

rewrite93.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_7602`
17×	`add-log-exp_binary64_7619` `*-un-lft-identity_binary64_7580`
13×	`add-cube-cbrt_binary64_7615`
12×	`log-prod_binary64_7666`
7×	`pow1_binary64_7641`
6×	`add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `distribute-rgt-in_binary64_7530` `distribute-lft-in_binary64_7529` `associate-+r+_binary64_7512` `cancel-sign-sub-inv_binary64_7546`
5×	`exp-prod_binary64_7632` `exp-sum_binary64_7626`
4×	`associate-r_binary64_7520` `diff-log_binary64_7672`
3×	`associate-l_binary64_7521` `sum-log_binary64_7671` `rem-exp-log_binary64_7620`
2×	`difference-of-squares_binary64_7549` `distribute-lft-out--_binary64_7532` `sub-neg_binary64_7573` `associate--l+_binary64_7517`
1×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `unswap-sqr_binary64_7548` `log-pow_binary64_7669` `*-commutative_binary64_7511` `flip3-+_binary64_7583` `flip-+_binary64_7554` `+-commutative_binary64_7510` `exp-diff_binary64_7628` `flip3--_binary64_7584` `flip--_binary64_7555`

Counts

4 → 81

Calls

4 calls:

8.0ms	(*.f64 y (log.f64 y))
7.0ms	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
7.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms	(+.f64 x (*.f64 y (log.f64 y)))

Compiler

Compiled 1289 to 353 computations (72.6% saved)

series663.0ms (17.5%)

Error

Counts

4 → 48

Calls

4 calls:

266.0ms	(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
138.0ms	(+.f64 x (*.f64 y (log.f64 y)))
113.0ms	(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
106.0ms	(*.f64 y (log.f64 y))

Compiler

Compiled 1398 to 828 computations (40.8% saved)

simplify98.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4934	1585
1	4934	1585

prune87.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	129	2	131

Error

Counts

131 → 2

Compiler

Compiled 1594 to 383 computations (76% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_7602`
7×	`associate-l_binary64_7521` `associate-r_binary64_7520`
5×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
4×	`unpow-prod-down_binary64_7659` `exp-sum_binary64_7626`
3×	`prod-exp_binary64_7629` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `unswap-sqr_binary64_7548` `cancel-sign-sub-inv_binary64_7546`
2×	`sqr-pow_binary64_7552`
1×	`pow1_binary64_7641` `pow-to-exp_binary64_7649` `pow-exp_binary64_7648` `add-log-exp_binary64_7619` `cbrt-unprod_binary64_7613` `exp-diff_binary64_7628` `associate-r/_binary64_7522` `sub-neg_binary64_7573` `-commutative_binary64_7511`

Counts

1 → 30

Calls

1 calls:

11.0ms

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

Compiler

Compiled 452 to 113 computations (75% saved)

series266.0ms (7%)

Error

Counts

1 → 17

Calls

1 calls:

252.0ms

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

Compiler

Compiled 775 to 377 computations (51.4% saved)

simplify82.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5080	773

prune51.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Error

Counts

49 → 2

Compiler

Compiled 633 to 170 computations (73.1% saved)

regimes194.0ms (5.1%)

Accuracy

Total 0.0b remaining (87.1%)

Threshold costs 0.0b (87.1%)

Compiler

Compiled 515 to 553 computations (-7.4% 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%)

sample1.6s (42.1%)

Algorithm

1×

intervals

Results

643.0ms	8000×	body	128	valid
100.0ms	1866×	body	128	invalid
97.0ms	2356×	body	128	nan

Compiler

Compiled 93 to 97 computations (-4.3% saved)

Details

analyze453.0ms (12%)

sample39.0ms (1%)

simplify93.0ms (2.4%)

prune7.0ms (0.2%)

localize16.0ms (0.4%)

rewrite93.0ms (2.5%)

series663.0ms (17.5%)

simplify98.0ms (2.6%)

prune87.0ms (2.3%)

localize6.0ms (0.2%)

rewrite41.0ms (1.1%)

series266.0ms (7%)

simplify82.0ms (2.2%)

prune51.0ms (1.4%)

regimes194.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (42.1%)

Profiling