Details

analyze92.0ms (2.6%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample30.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	180×	body	128	valid
8.0ms	36×	body	1024	valid
3.0ms	24×	body	512	valid
2.0ms	16×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

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 12 to 10 computations (16.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series132.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

85.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
47.0ms	(/.f64 (sin.f64 y) y)

simplify94.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4697	782
1	4697	782

prune213.0ms (5.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Merged error: 0b

Counts

66 → 7

Compiler

Compiled 3280 to 1686 computations (48.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))
0.1b	(/.f64 y (sin.f64 y))

rewrite49.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`
27×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
10×	`div-inv_binary64`
9×	`div-exp_binary64`
7×	`cbrt-undiv_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`unswap-sqr_binary64` `prod-exp_binary64`
4×	`rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 172

Calls

3 calls:

21.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series188.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

94.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
55.0ms	(/.f64 y (sin.f64 y))
39.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify92.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4988	2616
1	4988	2616

prune142.0ms (3.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	182	6	188

Merged error: 0b

Counts

188 → 6

Compiler

Compiled 2859 to 1019 computations (64.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/r/_binary64`

Counts

2 → 97

Calls

2 calls:

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

series153.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

91.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
62.0ms	(/.f64 y (sin.f64 y))

simplify127.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4710	1780
1	4710	1780

prune76.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	103	6	109

Merged error: 0b

Counts

109 → 6

Compiler

Compiled 1555 to 392 computations (74.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod_binary64`
81×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
57×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 144

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

series797.0ms (22.1%)

Counts

4 → 12

Calls

4 calls:

241.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
186.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
186.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
184.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify88.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4997	2719
1	4997	2719

prune132.0ms (3.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	156	6	162

Merged error: 0b

Counts

162 → 6

Compiler

Compiled 3831 to 863 computations (77.5% saved)

regimes61.0ms (1.7%)

Compiler: Compiled 294 to 194 computations (34% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	6	9

end0.0ms (0%)

sample1.0s (28.3%)

Algorithm

1×

intervals

Results

307.0ms	1318×	body	1024	valid
266.0ms	5351×	body	128	valid
127.0ms	847×	body	512	valid
47.0ms	481×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 69 to 48 computations (30.4% saved)

Details

analyze92.0ms (2.6%)

sample30.0ms (0.8%)

simplify8.0ms (0.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite16.0ms (0.4%)

series132.0ms (3.6%)

simplify94.0ms (2.6%)

prune213.0ms (5.9%)

localize7.0ms (0.2%)

rewrite49.0ms (1.4%)

series188.0ms (5.2%)

simplify92.0ms (2.5%)

prune142.0ms (3.9%)

localize5.0ms (0.1%)

rewrite22.0ms (0.6%)

series153.0ms (4.2%)

simplify127.0ms (3.5%)

prune76.0ms (2.1%)

localize9.0ms (0.3%)

rewrite45.0ms (1.2%)

series797.0ms (22.1%)

simplify88.0ms (2.4%)

prune132.0ms (3.6%)

regimes61.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (28.3%)

Profiling