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)

sample60.0ms (2.1%)

Algorithm

1×

intervals

Results

37.0ms	131×	body	1024	valid
9.0ms	59×	body	512	valid
3.0ms	32×	body	256	valid
3.0ms	9×	body	2048	valid
1.0ms	25×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify124.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4750	13
1	4750	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: 57.8b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.6b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

5.0ms

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

series41.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify76.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4874	255
1	4874	255

prune19.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

Compiler

Compiled 244 to 119 computations (51.2% saved)

localize4.0ms (0.1%)

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)

series81.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

81.0ms

(sinh.f64 x)

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5654	98

prune11.0ms (0.4%)

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: 0.0b

Counts

13 → 2

Compiler

Compiled 137 to 96 computations (29.9% saved)

localize14.0ms (0.5%)

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))

rewrite23.0ms (0.8%)

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:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
5.0ms	(*.f64 1/60 (pow.f64 x 5))

series283.0ms (10%)

Counts

3 → 9

Calls

3 calls:

170.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
60.0ms	(*.f64 1/60 (pow.f64 x 5))
53.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify47.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4889	877
1	4889	877

prune88.0ms (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: 0.0b

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%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.9s (66.2%)

Algorithm

1×

intervals

Results

1.1s	3986×	body	1024	valid
302.0ms	2036×	body	512	valid
117.0ms	386×	body	2048	valid
94.0ms	970×	body	256	valid
29.0ms	622×	body	128	valid

Compiler

Compiled 38 to 35 computations (7.9% saved)

Details

analyze5.0ms (0.2%)

sample60.0ms (2.1%)

simplify124.0ms (4.4%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite6.0ms (0.2%)

series41.0ms (1.4%)

simplify76.0ms (2.7%)

prune19.0ms (0.7%)

localize4.0ms (0.1%)

rewrite2.0ms (0.1%)

series81.0ms (2.8%)

simplify57.0ms (2%)

prune11.0ms (0.4%)

localize14.0ms (0.5%)

rewrite23.0ms (0.8%)

series283.0ms (10%)

simplify47.0ms (1.7%)

prune88.0ms (3.1%)

regimes8.0ms (0.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample1.9s (66.2%)

Profiling