Details

analyze263.0ms

Algorithm

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

sample33.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
0.0ms	8×	body	80	nan
0.0ms	2×	body	80	invalid

simplify281.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (273.0ms)

Iter	Nodes	Cost
0	4996	17
1	4996	17

prune8.0ms

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: 0.1b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate--l+_binary64`
27×	`log-prod_binary64`
25×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`add-log-exp_binary64`
15×	`add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
9×	`pow1_binary64`
8×	`associate-+l+_binary64`
7×	`diff-log_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`sub-neg_binary64`
4×	`distribute-lft-out_binary64` `associate-r_binary64`
3×	`log-pow_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64` `sum-log_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

13.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
13.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
5.0ms	(*.f64 x (log.f64 y))

series160.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
43.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
46.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
36.0ms	(*.f64 x (log.f64 y))

simplify68.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5018	1525

prune403.0ms

Filtered

76 candidates to 105 candidates (-38.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	9	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 y))
0.0b	(log.f64 (sqrt.f64 y))
0.2b	(*.f64 x (log.f64 (sqrt.f64 y)))
0.2b	(*.f64 (log.f64 (sqrt.f64 y)) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
12×	`log-pow_binary64` `sqrt-prod_binary64`
10×	`add-exp-log_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
8×	`add-cbrt-cube_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `sqrt-pow1_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

2.0ms	(log.f64 (sqrt.f64 y))
2.0ms	(log.f64 (sqrt.f64 y))
6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)

series120.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(log.f64 (sqrt.f64 y))
16.0ms	(log.f64 (sqrt.f64 y))
39.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
47.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5000	1299

prune23.0ms

Filtered: 70 candidates to 100 candidates (-42.9%)

Details

analyze263.0ms

sample33.0ms

simplify281.0ms

prune8.0ms

localize16.0ms

rewrite39.0ms

series160.0ms

simplify68.0ms

prune403.0ms

localize21.0ms

rewrite16.0ms

series120.0ms

simplify70.0ms

prune23.0ms

Profiling