Details

analyze371.0ms (11.9%)

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample42.0ms (1.3%)

Algorithm

1×

intervals

Results

12.0ms	27×	body	1280	valid
11.0ms	183×	body	80	valid
8.0ms	32×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	5×	body	160	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

prune7.0ms (0.2%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.1b	(*.f64 z (cos.f64 y))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

series20.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms	(*.f64 z (cos.f64 y))

simplify94.0ms (3%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4960	480
1	4960	480

prune33.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

Compiler

Compiled 560 to 141 computations (74.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series65.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
16.0ms	(cbrt.f64 (cos.f64 y))
14.0ms	(cbrt.f64 (cos.f64 y))
14.0ms	(cbrt.f64 (cos.f64 y))

simplify77.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5056	772

prune55.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	85	5	90

Merged error: 0b

Counts

90 → 5

Compiler

Compiled 1832 to 493 computations (73.1% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.2b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
19×	`unpow-prod-down_binary64`
18×	`associate-r_binary64`
16×	`prod-exp_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
9×	`pow-exp_binary64`
7×	`pow1_binary64` `cbrt-unprod_binary64`
6×	`unswap-sqr_binary64` `cbrt-prod_binary64`
5×	`pow-to-exp_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`pow-unpow_binary64` `unpow2_binary64`
2×	`unpow1/3_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `pow1/3_binary64` `pow-pow_binary64`

Counts

4 → 90

Calls

4 calls:

12.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
8.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series46.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
14.0ms	(cbrt.f64 (cos.f64 y))
7.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
4.0ms	(pow.f64 (cos.f64 y) 2)

simplify111.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4854	984
1	4854	984

prune66.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Merged error: 0b

Counts

107 → 5

Compiler

Compiled 1923 to 748 computations (61.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 y))
0.0b	(sqrt.f64 (cos.f64 y))
0.1b	(*.f64 z (sqrt.f64 (cos.f64 y)))
0.1b	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `sqrt-prod_binary64`
12×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

8.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
6.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
2.0ms	(sqrt.f64 (cos.f64 y))
2.0ms	(sqrt.f64 (cos.f64 y))

series23.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
7.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
3.0ms	(sqrt.f64 (cos.f64 y))
3.0ms	(sqrt.f64 (cos.f64 y))

simplify93.0ms (3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4899	724
1	4899	724

prune34.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	81	5	86

Merged error: 0b

Counts

86 → 5

Compiler

Compiled 1339 to 259 computations (80.7% saved)

regimes145.0ms (4.6%)

Compiler: Compiled 312 to 254 computations (18.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.7s (54.8%)

Algorithm

1×

intervals

Results

440.0ms	995×	body	1280	valid
346.0ms	5550×	body	80	valid
222.0ms	824×	body	640	valid
81.0ms	415×	body	320	valid
29.0ms	216×	body	160	valid

Compiler

Compiled 91 to 75 computations (17.6% saved)

Details

analyze371.0ms (11.9%)

sample42.0ms (1.3%)

simplify13.0ms (0.4%)

prune7.0ms (0.2%)

localize9.0ms (0.3%)

rewrite12.0ms (0.4%)

series20.0ms (0.6%)

simplify94.0ms (3%)

prune33.0ms (1.1%)

localize12.0ms (0.4%)

rewrite13.0ms (0.4%)

series65.0ms (2.1%)

simplify77.0ms (2.5%)

prune55.0ms (1.8%)

localize15.0ms (0.5%)

rewrite28.0ms (0.9%)

series46.0ms (1.5%)

simplify111.0ms (3.5%)

prune66.0ms (2.1%)

localize11.0ms (0.3%)

rewrite19.0ms (0.6%)

series23.0ms (0.7%)

simplify93.0ms (3%)

prune34.0ms (1.1%)

regimes145.0ms (4.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.7s (54.8%)

Profiling