Details

analyze228.0ms (12.2%)

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify217.0ms (11.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (205.0ms)

Iter	Nodes	Cost
0	4745	18
1	4745	18

prune4.0ms (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

Merged error: 4.3b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

0.4b

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

8.3b

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
7×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

3 → 58

Calls

3 calls:

7.0ms

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

5.0ms

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

5.0ms

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

series53.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

38.0ms

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

12.0ms

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

3.0ms

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

simplify81.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5246	1184

prune52.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	2	68

Merged error: 0b

Counts

68 → 2

Compiler

Compiled 1269 to 628 computations (50.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
0.1b	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
0.1b	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
0.2b	(*.f64 y 4503599627370496/5081767996463981)

rewrite30.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64` `times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`div-exp_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `rec-exp_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

10.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
8.0ms	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
6.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
4.0ms	(*.f64 y 4503599627370496/5081767996463981)

series42.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
12.0ms	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
6.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
2.0ms	(*.f64 y 4503599627370496/5081767996463981)

simplify109.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4898	1672
1	4898	1672

prune70.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Merged error: 0b

Counts

107 → 2

Compiler

Compiled 1872 to 1160 computations (38% saved)

regimes162.0ms (8.7%)

Compiler: Compiled 186 to 184 computations (1.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	18
1	25	18

end0.0ms (0%)

sample765.0ms (40.9%)

Algorithm

1×

intervals

Results

309.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 61 to 57 computations (6.6% saved)

Details

analyze228.0ms (12.2%)

sample17.0ms (0.9%)

simplify217.0ms (11.6%)

prune4.0ms (0.2%)

localize8.0ms (0.4%)

rewrite19.0ms (1%)

series53.0ms (2.8%)

simplify81.0ms (4.3%)

prune52.0ms (2.8%)

localize8.0ms (0.4%)

rewrite30.0ms (1.6%)

series42.0ms (2.3%)

simplify109.0ms (5.8%)

prune70.0ms (3.8%)

regimes162.0ms (8.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample765.0ms (40.9%)

Profiling