Details

analyze4.0ms (0.2%)

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%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample57.0ms (2.3%)

Algorithm

1×

intervals

Results

33.0ms	115×	body	1024	valid
10.0ms	80×	body	512	valid
3.0ms	14×	body	2048	valid
3.0ms	31×	body	256	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify146.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5268	13

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: 58.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
3×	`add-log-exp_binary64_3868` `cancel-sign-sub-inv_binary64_3795`
2×	`add-cube-cbrt_binary64_3864`
1×	`flip--_binary64_3804` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `flip3--_binary64_3833` `pow1_binary64_3890` `difference-of-squares_binary64_3798` `distribute-lft-out--_binary64_3781` `sinh-undef_binary64_4022` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

1 → 17

Calls

1 calls:

6.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series20.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

20.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify78.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4830	273
1	4830	273

prune16.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	3	21

Merged error: 0b

Counts

21 → 3

Compiler

Compiled 271 to 134 computations (50.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(sinh.f64 x)

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`add-log-exp_binary64_3868` `sinh-def_binary64_4014` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh.f64 x)

series36.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

36.0ms

(sinh.f64 x)

simplify55.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5429	98

prune10.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	11	3	14

Merged error: 0b

Counts

14 → 3

Compiler

Compiled 137 to 96 computations (29.9% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
0.0b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_3851`
19×	`associate-r_binary64_3769`
13×	`add-exp-log_binary64_3867`
10×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
8×	`unpow-prod-down_binary64_3908`
7×	`unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865`
6×	`prod-exp_binary64_3878` `associate-l_binary64_3770`
5×	`add-log-exp_binary64_3868`
4×	`cube-prod_binary64_3857` `sqr-pow_binary64_3801`
3×	`pow1_binary64_3890`
2×	`pow-exp_binary64_3897` `*-commutative_binary64_3760` `pow-to-exp_binary64_3898` `cbrt-unprod_binary64_3862`
1×	`flip3-+_binary64_3832` `cube-mult_binary64_3859` `sum-log_binary64_3920` `unpow3_binary64_3895` `flip-+_binary64_3803` `+-commutative_binary64_3759`

Counts

3 → 67

Calls

3 calls:

9.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(*.f64 1/60 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))

series136.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

79.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
30.0ms	(*.f64 1/60 (pow.f64 x 5))
28.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify61.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5323	875

prune88.0ms (3.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 1635 to 1183 computations (27.6% saved)

regimes28.0ms (1.2%)

Compiler: Compiled 123 to 107 computations (13% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.7s (67.7%)

Algorithm

1×

intervals

Results

978.0ms	3938×	body	1024	valid
254.0ms	2011×	body	512	valid
112.0ms	408×	body	2048	valid
79.0ms	1004×	body	256	valid
25.0ms	639×	body	128	valid

Compiler

Compiled 46 to 42 computations (8.7% saved)

Details

analyze4.0ms (0.2%)

sample57.0ms (2.3%)

simplify146.0ms (6%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite7.0ms (0.3%)

series20.0ms (0.8%)

simplify78.0ms (3.2%)

prune16.0ms (0.7%)

localize4.0ms (0.2%)

rewrite1.0ms (0.1%)

series36.0ms (1.5%)

simplify55.0ms (2.2%)

prune10.0ms (0.4%)

localize11.0ms (0.4%)

rewrite25.0ms (1%)

series136.0ms (5.5%)

simplify61.0ms (2.5%)

prune88.0ms (3.6%)

regimes28.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (67.7%)

Profiling