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 (1.9%)

Algorithm

1×

intervals

Results

35.0ms	126×	body	1024	valid
10.0ms	74×	body	512	valid
3.0ms	32×	body	256	valid
3.0ms	9×	body	2048	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify224.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4846	13
1	4846	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: 59.3b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.4b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite8.0ms (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:

6.0ms

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

series39.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify59.0ms (2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4877	273
1	4877	273

prune20.0ms (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)

localize5.0ms (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_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)

series73.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

73.0ms

(sinh.f64 x)

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5412	98

prune9.0ms (0.3%)

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))

rewrite28.0ms (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:

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)))

series288.0ms (9.7%)

Counts

3 → 9

Calls

3 calls:

186.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
56.0ms	(*.f64 1/60 (pow.f64 x 5))
45.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify54.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5021	877

prune86.0ms (2.9%)

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)

regimes43.0ms (1.5%)

Compiler: Compiled 255 to 214 computations (16.1% 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%)

sample1.9s (63.6%)

Algorithm

1×

intervals

Results

1.1s	3970×	body	1024	valid
288.0ms	1975×	body	512	valid
127.0ms	435×	body	2048	valid
90.0ms	982×	body	256	valid
29.0ms	638×	body	128	valid

Compiler

Compiled 80 to 69 computations (13.8% saved)

Details

analyze4.0ms (0.2%)

sample57.0ms (1.9%)

simplify224.0ms (7.6%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite8.0ms (0.3%)

series39.0ms (1.3%)

simplify59.0ms (2%)

prune20.0ms (0.7%)

localize5.0ms (0.2%)

rewrite2.0ms (0.1%)

series73.0ms (2.5%)

simplify55.0ms (1.9%)

prune9.0ms (0.3%)

localize11.0ms (0.4%)

rewrite28.0ms (0.9%)

series288.0ms (9.7%)

simplify54.0ms (1.8%)

prune86.0ms (2.9%)

regimes43.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (63.6%)

Profiling