Details

analyze21.0ms (0.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample67.0ms (1.8%)

Algorithm

1×

intervals

Results

40.0ms	121×	body	1280	valid
13.0ms	64×	body	640	valid
5.0ms	43×	body	320	valid
1.0ms	12×	body	160	valid
1.0ms	16×	body	80	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify120.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4858	22
1	4858	22

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

Merged error: 58.2b

Counts

2 → 1

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.5b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64` `times-frac_binary64`
16×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `cosh-undef_binary64`
7×	`add-log-exp_binary64` `sinh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `insert-posit16`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `tanh-undef_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 89

Calls

3 calls:

17.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series191.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

129.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
39.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
24.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify127.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4846	2388
1	4846	2388

prune79.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Merged error: 0b

Counts

99 → 3

Compiler

Compiled 1960 to 374 computations (80.9% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `tanh-def-a_binary64` `tanh-def-b_binary64` `insert-posit16` `tanh-def-c_binary64`

Counts

1 → 11

Calls

1 calls:

1.0ms

(tanh.f64 x)

series106.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

106.0ms

(tanh.f64 x)

simplify96.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5374	129

prune10.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0b

Counts

17 → 3

Compiler

Compiled 117 to 69 computations (41% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 x)
1.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `sinh-def_binary64` `insert-posit16`
1×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `cosh-def_binary64`

Counts

2 → 39

Calls

2 calls:

5.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(sinh.f64 x)

series275.0ms (7.5%)

Counts

2 → 6

Calls

2 calls:

206.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
69.0ms	(sinh.f64 x)

simplify126.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4889	552
1	4889	552

prune26.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	45	3	48

Merged error: 0b

Counts

48 → 3

Compiler

Compiled 473 to 156 computations (67% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (.f64 1/3 (pow.f64 x 3)))
0.1b	(*.f64 (pow.f64 x 5) 2/15)
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64` `insert-posit16`
2×	`pow-to-exp_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64` `unpow3_binary64` `associate--l+_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 72

Calls

3 calls:

8.0ms	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (.f64 1/3 (pow.f64 x 3)))
8.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(*.f64 (pow.f64 x 5) 2/15)

series174.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

62.0ms	(*.f64 (pow.f64 x 5) 2/15)
57.0ms	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (.f64 1/3 (pow.f64 x 3)))
55.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify72.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5052	1036

prune85.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	81	3	84

Merged error: 0b

Counts

84 → 3

Compiler

Compiled 1437 to 1111 computations (22.7% saved)

regimes9.0ms (0.2%)

Compiler: Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample2.0s (54.4%)

Algorithm

1×

intervals

Results

1.1s	3295×	body	1280	valid
498.0ms	2418×	body	640	valid
158.0ms	1209×	body	320	valid
55.0ms	632×	body	160	valid
19.0ms	446×	body	80	valid
0.0ms	1×	body	80	overflowed

Compiler

Compiled 36 to 28 computations (22.2% saved)

Details

analyze21.0ms (0.6%)

sample67.0ms (1.8%)

simplify120.0ms (3.2%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite32.0ms (0.9%)

series191.0ms (5.2%)

simplify127.0ms (3.4%)

prune79.0ms (2.1%)

localize2.0ms (0.1%)

rewrite2.0ms (0%)

series106.0ms (2.9%)

simplify96.0ms (2.6%)

prune10.0ms (0.3%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series275.0ms (7.5%)

simplify126.0ms (3.4%)

prune26.0ms (0.7%)

localize9.0ms (0.2%)

rewrite24.0ms (0.7%)

series174.0ms (4.7%)

simplify72.0ms (1.9%)

prune85.0ms (2.3%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.0s (54.4%)

Profiling