Details

analyze343.0ms (8.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample58.0ms (1.4%)

Algorithm

1×

intervals

Results

15.0ms	54×	body	1024	valid
10.0ms	41×	body	1024	invalid
8.0ms	157×	body	128	valid
5.0ms	35×	body	512	invalid
5.0ms	30×	body	512	valid
2.0ms	16×	body	256	invalid
2.0ms	15×	body	256	valid
1.0ms	16×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify252.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4909	11
1	4909	11

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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_15263` `times-frac_binary64_15248` `*-un-lft-identity_binary64_15242` `add-cube-cbrt_binary64_15274`
3×	`add-exp-log_binary64_15277` `associate-/l_binary64_15189` `add-cbrt-cube_binary64_15275` `associate-/r_binary64_15188`
1×	`cbrt-undiv_binary64_15273` `div-inv_binary64_15239` `pow1_binary64_15300` `frac-2neg_binary64_15253` `clear-num_binary64_15241` `div-exp_binary64_15290` `add-log-exp_binary64_15278`

Counts

1 → 27

Calls

1 calls:

4.0ms

(/.f64 (sin.f64 y) y)

series38.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

38.0ms

(/.f64 (sin.f64 y) y)

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4694	356
1	4694	356

prune34.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	23	7	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	8	31

Merged error: 0.0b

Counts

31 → 8

Compiler

Compiled 453 to 171 computations (62.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_15263`
13×	`associate-r_binary64_15184`
11×	`times-frac_binary64_15248`
10×	`add-exp-log_binary64_15277` `*-un-lft-identity_binary64_15242`
9×	`add-cube-cbrt_binary64_15274`
6×	`add-cbrt-cube_binary64_15275`
4×	`prod-exp_binary64_15288`
3×	`associate-l_binary64_15185` `pow1_binary64_15300` `unswap-sqr_binary64_15210`
2×	`cbrt-unprod_binary64_15272` `div-exp_binary64_15290`
1×	`un-div-inv_binary64_15240` `rec-exp_binary64_15289` `-commutative_binary64_15175` `cbrt-undiv_binary64_15273` `div-inv_binary64_15239` `associate-r/_binary64_15186` `1-exp_binary64_15283` `pow-prod-down_binary64_15310` `add-log-exp_binary64_15278`

Counts

1 → 36

Calls

1 calls:

9.0ms

(*.f64 (sin.f64 y) (/.f64 1 y))

series39.0ms (1%)

Counts

1 → 3

Calls

1 calls:

39.0ms

(*.f64 (sin.f64 y) (/.f64 1 y))

simplify97.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4779	383
1	4779	383

prune38.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	37	10	47

Merged error: 0.0b

Counts

47 → 10

Compiler

Compiled 592 to 266 computations (55.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 y (sin.f64 y))
0.4b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_15248`
52×	`add-sqr-sqrt_binary64_15263` `*-un-lft-identity_binary64_15242` `add-cube-cbrt_binary64_15274`
16×	`associate-/r*_binary64_15188`
15×	`add-exp-log_binary64_15277`
9×	`add-cbrt-cube_binary64_15275`
8×	`div-exp_binary64_15290`
6×	`div-inv_binary64_15239` `associate-/l*_binary64_15189`
4×	`cbrt-undiv_binary64_15273`
3×	`pow1_binary64_15300`
2×	`rec-exp_binary64_15289` `frac-2neg_binary64_15253` `clear-num_binary64_15241` `1-exp_binary64_15283` `add-log-exp_binary64_15278`
1×	`inv-pow_binary64_15324` `pow-flip_binary64_15313` `associate-/r/_binary64_15190`

Counts

2 → 103

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series94.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(/.f64 y (sin.f64 y))
39.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify133.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4675	1610
1	4675	1610

prune82.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

Compiler

Compiled 1717 to 591 computations (65.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (sin.f64 y))
0.2b	(*.f64 y (/.f64 1 (sin.f64 y)))
0.4b	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log_binary64_15277`
28×	`add-sqr-sqrt_binary64_15263`
23×	`times-frac_binary64_15248`
22×	`*-un-lft-identity_binary64_15242`
21×	`add-cube-cbrt_binary64_15274`
20×	`div-exp_binary64_15290`
19×	`add-cbrt-cube_binary64_15275`
16×	`prod-exp_binary64_15288`
13×	`associate-r_binary64_15184`
10×	`rec-exp_binary64_15289` `1-exp_binary64_15283`
9×	`pow1_binary64_15300`
6×	`cbrt-undiv_binary64_15273` `associate-/l*_binary64_15189`
4×	`cbrt-unprod_binary64_15272` `associate-/r*_binary64_15188`
3×	`associate-l_binary64_15185` `div-inv_binary64_15239` `pow-flip_binary64_15313` `add-log-exp_binary64_15278` `unswap-sqr_binary64_15210`
2×	`un-div-inv_binary64_15240` `inv-pow_binary64_15324` `associate-*r/_binary64_15186` `frac-2neg_binary64_15253` `clear-num_binary64_15241` `pow-prod-down_binary64_15310` `associate-/r/_binary64_15190`
1×	`*-commutative_binary64_15175`

Counts

3 → 107

Calls

3 calls:

9.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
8.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
4.0ms	(/.f64 1 (sin.f64 y))

series134.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
38.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
33.0ms	(/.f64 1 (sin.f64 y))

simplify130.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4714	1061
1	4714	1061

prune78.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	117	8	125

Merged error: 0b

Counts

125 → 8

Compiler

Compiled 1530 to 687 computations (55.1% saved)

regimes83.0ms (2%)

Compiler: Compiled 620 to 474 computations (23.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.3s (55.5%)

Algorithm

1×

intervals

Results

558.0ms	1980×	body	1024	valid
490.0ms	1932×	body	1024	invalid
253.0ms	4569×	body	128	valid
167.0ms	1022×	body	512	invalid
161.0ms	966×	body	512	valid
56.0ms	482×	body	256	valid
53.0ms	493×	body	256	invalid
42.0ms	666×	body	128	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 140 to 109 computations (22.1% saved)

Details

analyze343.0ms (8.4%)

sample58.0ms (1.4%)

simplify252.0ms (6.2%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite6.0ms (0.2%)

series38.0ms (0.9%)

simplify77.0ms (1.9%)

prune34.0ms (0.8%)

localize7.0ms (0.2%)

rewrite12.0ms (0.3%)

series39.0ms (1%)

simplify97.0ms (2.4%)

prune38.0ms (0.9%)

localize7.0ms (0.2%)

rewrite21.0ms (0.5%)

series94.0ms (2.3%)

simplify133.0ms (3.3%)

prune82.0ms (2%)

localize9.0ms (0.2%)

rewrite31.0ms (0.8%)

series134.0ms (3.3%)

simplify130.0ms (3.2%)

prune78.0ms (1.9%)

regimes83.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (55.5%)

Profiling