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)

sample51.0ms (2.1%)

Algorithm

1×

intervals

Results

29.0ms	115×	body	1024	valid
8.0ms	65×	body	512	valid
4.0ms	16×	body	2048	valid
3.0ms	38×	body	256	valid
1.0ms	22×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify146.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5268	13

prune6.0ms (0.3%)

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: 57.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

7.2b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
3×	`cancel-sign-sub-inv_binary64_726` `add-log-exp_binary64_799`
2×	`add-cube-cbrt_binary64_795`
1×	`diff-log_binary64_852` `add-exp-log_binary64_798` `difference-of-squares_binary64_729` `add-cbrt-cube_binary64_796` `distribute-lft-out--_binary64_712` `sinh-undef_binary64_953` `pow1_binary64_821` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

1 → 17

Calls

1 calls:

5.0ms

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

series21.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify73.0ms (3%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4830	273
1	4830	273

prune17.0ms (0.7%)

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 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×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `pow1_binary64_821` `sinh-def_binary64_945` `add-sqr-sqrt_binary64_782`

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)

simplify62.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5429	98

prune10.0ms (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: 0b

Counts

13 → 2

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

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_782`
19×	`associate-r_binary64_700`
13×	`add-exp-log_binary64_798`
10×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
8×	`unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728` `add-cbrt-cube_binary64_796`
6×	`prod-exp_binary64_809` `associate-l_binary64_701`
5×	`add-log-exp_binary64_799`
4×	`sqr-pow_binary64_732` `cube-prod_binary64_788`
3×	`pow1_binary64_821`
2×	`pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `flip3-+_binary64_763` `unpow3_binary64_826` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

3 → 67

Calls

3 calls:

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

series149.0ms (6.1%)

Counts

3 → 9

Calls

3 calls:

92.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
30.0ms	(*.f64 1/60 (pow.f64 x 5))
27.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify57.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5323	875

prune98.0ms (4%)

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 1635 to 1183 computations (27.6% saved)

regimes27.0ms (1.1%)

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%)

sample1.6s (67%)

Algorithm

1×

intervals

Results

941.0ms	3891×	body	1024	valid
255.0ms	2020×	body	512	valid
111.0ms	406×	body	2048	valid
78.0ms	996×	body	256	valid
31.0ms	687×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 46 to 42 computations (8.7% saved)

Details

analyze4.0ms (0.2%)

sample51.0ms (2.1%)

simplify146.0ms (5.9%)

prune6.0ms (0.3%)

localize6.0ms (0.2%)

rewrite6.0ms (0.3%)

series21.0ms (0.8%)

simplify73.0ms (3%)

prune17.0ms (0.7%)

localize4.0ms (0.2%)

rewrite1.0ms (0.1%)

series36.0ms (1.5%)

simplify62.0ms (2.5%)

prune10.0ms (0.4%)

localize11.0ms (0.4%)

rewrite22.0ms (0.9%)

series149.0ms (6.1%)

simplify57.0ms (2.3%)

prune98.0ms (4%)

regimes27.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (67%)

Profiling