Details

analyze249.0ms (14.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample162.0ms (9.4%)

Algorithm

1×

intervals

Results

152.0ms	256×	body	128	valid
0.0ms	8×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify337.0ms (19.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	4974	17
1	4974	17

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

0.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.0b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
0.2b	(*.f64 x (log.f64 y))

rewrite34.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_2465`
22×	`associate--l+_binary64_2402`
21×	`log-prod_binary64_2551`
17×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500`
14×	`associate-+l+_binary64_2398`
11×	`add-log-exp_binary64_2504`
9×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431`
8×	`pow1_binary64_2526`
5×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`diff-log_binary64_2557` `associate-r_binary64_2405` `distribute-lft-out_binary64_2416`
3×	`log-pow_binary64_2554` `sum-log_binary64_2556` `sub-neg_binary64_2458` `associate-+r+_binary64_2397` `associate-l_binary64_2406`
2×	`distribute-lft-out--_binary64_2417`
1×	`flip3-+_binary64_2468` `associate-+l-_binary64_2400` `*-commutative_binary64_2396` `+-commutative_binary64_2395` `flip--_binary64_2440` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `flip3--_binary64_2469` `cbrt-unprod_binary64_2498`

Counts

3 → 80

Calls

3 calls:

18.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
5.0ms	(*.f64 x (log.f64 y))
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)

series722.0ms (42.1%)

Counts

3 → 37

Calls

3 calls:

462.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
138.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
122.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 657 to 629 computations (4.3% saved)

simplify73.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5067	1457

prune85.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	6	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	7	118

Error

0.0b

Counts

118 → 7

Compiler

Compiled 1724 to 377 computations (78.1% saved)

localize15.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite23.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_2551`
18×	`add-sqr-sqrt_binary64_2487` `cbrt-prod_binary64_2496`
16×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
12×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415` `associate-+r+_binary64_2397`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`associate-r_binary64_2405`
3×	`pow1/3_binary64_2547` `associate-l_binary64_2406`
2×	`log-pow_binary64_2554`
1×	`flip3-+_binary64_2468` `*-commutative_binary64_2396` `+-commutative_binary64_2395` `sum-log_binary64_2556` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `distribute-lft-out_binary64_2416` `cbrt-unprod_binary64_2498`

Counts

4 → 78

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series4.0ms (0.2%)

Compiler: Compiled 21 to 18 computations (14.3% saved)

Details

analyze249.0ms (14.5%)

sample162.0ms (9.4%)

simplify337.0ms (19.6%)

prune3.0ms (0.2%)

localize10.0ms (0.6%)

rewrite34.0ms (2%)

series722.0ms (42.1%)

simplify73.0ms (4.3%)

prune85.0ms (4.9%)

localize15.0ms (0.9%)

rewrite23.0ms (1.4%)

series4.0ms (0.2%)

end0.0ms (0%)

Profiling