Details

analyze498.0ms (11.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4855	22
1	4855	22
0	2	2
1	2	2

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)

sample62.0ms (1.4%)

Algorithm

1×

intervals

Results

13.0ms	58×	body	1024	valid
11.0ms	53×	body	1024	invalid
8.0ms	145×	body	128	valid
7.0ms	47×	body	512	invalid
6.0ms	40×	body	512	valid
2.0ms	25×	body	256	invalid
2.0ms	27×	body	128	invalid
1.0ms	13×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify117.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4950	11
1	4950	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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize193.0ms (4.5%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`times-frac_binary64_10655` `*-un-lft-identity_binary64_10649` `add-sqr-sqrt_binary64_10671` `add-cube-cbrt_binary64_10684`
3×	`associate-/r_binary64_10593` `associate-/l_binary64_10594` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
1×	`add-log-exp_binary64_10688` `pow1_binary64_10710` `clear-num_binary64_10648` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `frac-2neg_binary64_10660` `div-inv_binary64_10646`

Counts

1 → 27

Calls

1 calls:

4.0ms

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

series21.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4881	356
1	4881	356

prune35.0ms (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

Error

0.0b

Counts

31 → 8

Compiler

Compiled 466 to 171 computations (63.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_10655`
52×	`*-un-lft-identity_binary64_10649` `add-sqr-sqrt_binary64_10671` `add-cube-cbrt_binary64_10684`
16×	`associate-/r*_binary64_10593`
15×	`add-exp-log_binary64_10687`
9×	`add-cbrt-cube_binary64_10685`
8×	`div-exp_binary64_10700`
6×	`associate-/l*_binary64_10594` `div-inv_binary64_10646`
4×	`cbrt-undiv_binary64_10683`
3×	`pow1_binary64_10710`
2×	`add-log-exp_binary64_10688` `clear-num_binary64_10648` `frac-2neg_binary64_10660` `1-exp_binary64_10693` `rec-exp_binary64_10699`
1×	`associate-/r/_binary64_10595` `inv-pow_binary64_10734` `pow-flip_binary64_10723`

Counts

2 → 103

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))

series52.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(/.f64 y (sin.f64 y))
21.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify120.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4795	1610
1	4795	1610

prune89.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	109	8	117

Error

0.0b

Counts

117 → 8

Compiler

Compiled 1736 to 588 computations (66.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_10671`
13×	`associate-r_binary64_10589`
11×	`times-frac_binary64_10655`
10×	`add-exp-log_binary64_10687` `*-un-lft-identity_binary64_10649`
9×	`add-cube-cbrt_binary64_10684`
6×	`add-cbrt-cube_binary64_10685`
4×	`prod-exp_binary64_10698`
3×	`pow1_binary64_10710` `unswap-sqr_binary64_10617` `associate-l_binary64_10590`
2×	`cbrt-unprod_binary64_10682` `div-exp_binary64_10700`
1×	`add-log-exp_binary64_10688` `pow-prod-down_binary64_10720` `-commutative_binary64_10580` `cbrt-undiv_binary64_10683` `1-exp_binary64_10693` `div-inv_binary64_10646` `rec-exp_binary64_10699` `un-div-inv_binary64_10647` `associate-r/_binary64_10591`

Counts

1 → 36

Calls

1 calls:

9.0ms

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

series20.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4888	383
1	4888	383

prune33.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	39	8	47

Error

0.0b

Counts

47 → 8

Compiler

Compiled 589 to 244 computations (58.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (sin.f64 y))
0.2b	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
0.3b	(*.f64 y (/.f64 1 (sin.f64 y)))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log_binary64_10687`
28×	`add-sqr-sqrt_binary64_10671`
23×	`times-frac_binary64_10655`
22×	`*-un-lft-identity_binary64_10649`
21×	`add-cube-cbrt_binary64_10684`
20×	`div-exp_binary64_10700`
19×	`add-cbrt-cube_binary64_10685`
16×	`prod-exp_binary64_10698`
13×	`associate-r_binary64_10589`
10×	`1-exp_binary64_10693` `rec-exp_binary64_10699`
9×	`pow1_binary64_10710`
6×	`associate-/l*_binary64_10594` `cbrt-undiv_binary64_10683`
4×	`cbrt-unprod_binary64_10682` `associate-/r*_binary64_10593`
3×	`add-log-exp_binary64_10688` `unswap-sqr_binary64_10617` `div-inv_binary64_10646` `associate-l_binary64_10590` `pow-flip_binary64_10723`
2×	`pow-prod-down_binary64_10720` `clear-num_binary64_10648` `associate-/r/_binary64_10595` `frac-2neg_binary64_10660` `inv-pow_binary64_10734` `un-div-inv_binary64_10647` `associate-*r/_binary64_10591`
1×	`*-commutative_binary64_10580`

Counts

3 → 107

Calls

3 calls:

9.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
7.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
4.0ms	(/.f64 1 (sin.f64 y))

series72.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
21.0ms	(/.f64 1 (sin.f64 y))
21.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4780	1061
1	4780	1061

prune75.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Error

0.0b

Counts

124 → 8

Compiler

Compiled 1530 to 687 computations (55.1% saved)

regimes239.0ms (5.6%)

Accuracy

Total 0.1b remaining (94.6%)

Threshold costs 0.1b (94.6%)

Compiler

Compiled 2325 to 1559 computations (32.9% 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%)

sample2.4s (55.1%)

Algorithm

1×

intervals

Results

458.0ms	2034×	body	1024	valid
419.0ms	1962×	body	1024	invalid
249.0ms	4456×	body	128	valid
154.0ms	1034×	body	512	valid
146.0ms	1005×	body	512	invalid
56.0ms	470×	body	256	valid
51.0ms	506×	body	256	invalid
39.0ms	642×	body	128	invalid
4.0ms	6×	body	2048	valid

Compiler

Compiled 481 to 326 computations (32.2% saved)

Details

analyze498.0ms (11.6%)

sample62.0ms (1.4%)

simplify117.0ms (2.7%)

prune2.0ms (0.1%)

localize193.0ms (4.5%)

rewrite6.0ms (0.1%)

series21.0ms (0.5%)

simplify62.0ms (1.4%)

prune35.0ms (0.8%)

localize7.0ms (0.2%)

rewrite19.0ms (0.4%)

series52.0ms (1.2%)

simplify120.0ms (2.8%)

prune89.0ms (2.1%)

localize7.0ms (0.2%)

rewrite12.0ms (0.3%)

series20.0ms (0.5%)

simplify68.0ms (1.6%)

prune33.0ms (0.8%)

localize8.0ms (0.2%)

rewrite29.0ms (0.7%)

series72.0ms (1.7%)

simplify87.0ms (2%)

prune75.0ms (1.7%)

regimes239.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (55.1%)

Profiling