Details

analyze5.0ms (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)

sample59.0ms (2.1%)

Algorithm

1×

intervals

Results

36.0ms	133×	body	1024	valid
9.0ms	63×	body	512	valid
5.0ms	17×	body	2048	valid
2.0ms	24×	body	256	valid
1.0ms	19×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify131.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4818	13
1	4818	13

prune2.0ms (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: 58.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.3b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-cube-cbrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `2sinh-undef_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 17

Calls

1 calls:

6.0ms

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

series41.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4876	273
1	4876	273

prune24.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	2	21

Merged error: 0b

Counts

21 → 2

Compiler

Compiled 308 to 167 computations (45.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(sinh.f64 x)

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `sinh-def_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh.f64 x)

series80.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

80.0ms

(sinh.f64 x)

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5657	98

prune14.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	2	13

Merged error: 0b

Counts

13 → 2

Compiler

Compiled 169 to 125 computations (26% 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)))
0.1b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 67

Calls

3 calls:

8.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(*.f64 1/60 (pow.f64 x 5))
6.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))

series289.0ms (10.3%)

Counts

3 → 9

Calls

3 calls:

177.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
66.0ms	(*.f64 1/60 (pow.f64 x 5))
46.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify49.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5022	877

prune86.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	76	2	78

Merged error: 0b

Counts

78 → 2

Compiler

Compiled 1636 to 1182 computations (27.8% saved)

regimes8.0ms (0.3%)

Compiler: Compiled 25 to 22 computations (12% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.8s (65.5%)

Algorithm

1×

intervals

Results

1.1s	3957×	body	1024	valid
287.0ms	1989×	body	512	valid
117.0ms	390×	body	2048	valid
90.0ms	995×	body	256	valid
31.0ms	669×	body	128	valid

Compiler

Compiled 38 to 35 computations (7.9% saved)

Details

analyze5.0ms (0.2%)

sample59.0ms (2.1%)

simplify131.0ms (4.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite8.0ms (0.3%)

series41.0ms (1.5%)

simplify59.0ms (2.1%)

prune24.0ms (0.8%)

localize4.0ms (0.2%)

rewrite2.0ms (0.1%)

series80.0ms (2.9%)

simplify60.0ms (2.1%)

prune14.0ms (0.5%)

localize11.0ms (0.4%)

rewrite28.0ms (1%)

series289.0ms (10.3%)

simplify49.0ms (1.8%)

prune86.0ms (3.1%)

regimes8.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (65.5%)

Profiling