Details

analyze252.0ms (5.3%)

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample57.0ms (1.2%)

Algorithm

1×

intervals

Results

24.0ms	67×	body	1024	valid
11.0ms	34×	body	512	valid
10.0ms	142×	body	128	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	139	14
1	139	14

prune3.0ms (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 18 to 16 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 47

Calls

3 calls:

5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(*.f64 x (cos.f64 y))
4.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

series262.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

136.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
67.0ms	(*.f64 x (cos.f64 y))
59.0ms	(*.f64 z (sin.f64 y))

simplify77.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4911	627
1	4911	627

prune58.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.0b

Counts

57 → 10

Compiler

Compiled 904 to 260 computations (71.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.4b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (cos.f64 y))

rewrite19.0ms (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:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series570.0ms (11.9%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
134.0ms	(cbrt.f64 (cos.f64 y))
124.0ms	(cbrt.f64 (cos.f64 y))
120.0ms	(cbrt.f64 (cos.f64 y))

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4906	772
1	4906	772

prune94.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	83	12	95

Merged error: 0.0b

Counts

95 → 12

Compiler

Compiled 1975 to 583 computations (70.5% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.2b	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.4b	(cbrt.f64 (cos.f64 y))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series262.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt.f64 (cos.f64 y))
58.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
55.0ms	(*.f64 z (sin.f64 y))
23.0ms	(pow.f64 (cos.f64 y) 2)

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4822	705
1	4822	705

prune91.0ms (1.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

Compiler

Compiled 1705 to 731 computations (57.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite16.0ms (0.3%)

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:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series641.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
154.0ms	(cbrt.f64 z)
153.0ms	(cbrt.f64 z)
149.0ms	(cbrt.f64 z)

simplify78.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune69.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	86	11	97

Merged error: 0.0b

Counts

97 → 11

Compiler

Compiled 1584 to 394 computations (75.1% saved)

regimes103.0ms (2.1%)

Compiler: Compiled 816 to 566 computations (30.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	27
1	44	27

end0.0ms (0%)

sample1.9s (39%)

Algorithm

1×

intervals

Results

747.0ms	2019×	body	1024	valid
330.0ms	4449×	body	128	valid
239.0ms	1030×	body	512	valid
78.0ms	497×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 225 to 159 computations (29.3% saved)

Details

analyze252.0ms (5.3%)

sample57.0ms (1.2%)

simplify15.0ms (0.3%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite17.0ms (0.3%)

series262.0ms (5.5%)

simplify77.0ms (1.6%)

prune58.0ms (1.2%)

localize17.0ms (0.3%)

rewrite19.0ms (0.4%)

series570.0ms (11.9%)

simplify88.0ms (1.8%)

prune94.0ms (2%)

localize17.0ms (0.3%)

rewrite26.0ms (0.5%)

series262.0ms (5.5%)

simplify72.0ms (1.5%)

prune91.0ms (1.9%)

localize14.0ms (0.3%)

rewrite16.0ms (0.3%)

series641.0ms (13.3%)

simplify78.0ms (1.6%)

prune69.0ms (1.4%)

regimes103.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (39%)

Profiling