Details

analyze161.0ms (5.9%)

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
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

Compiler

Compiled 17 to 17 computations (0% saved)

sample28.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	80	valid
1.0ms	15×	body	80	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify27.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	50	23
1	50	23

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(*.f64 PI.f64 2/3)

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `div-sub_binary64`
4×	`associate-+r-_binary64` `insert-posit16`
3×	`associate-/r_binary64` `acos-asin_binary64` `associate-r_binary64` `acos-neg_binary64` `associate-l_binary64` `associate-/l_binary64` `distribute-frac-neg_binary64`
2×	`cos-diff_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `cos-sum_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

9.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
8.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
5.0ms	(*.f64 PI.f64 2/3)
4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series217.0ms (8%)

Counts

4 → 10

Calls

4 calls:

142.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
45.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
30.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify155.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4924	1482
1	4924	1482

prune89.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	3	85

Merged error: 1.0b

Counts

85 → 3

Compiler

Compiled 1672 to 992 computations (40.7% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `acos-asin_binary64` `div-sub_binary64` `insert-posit16`
1×	`cbrt-undiv_binary64` `cos-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 38

Calls

2 calls:

4.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
3.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

series112.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

88.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
23.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify246.0ms (9%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (223.0ms)

Iter	Nodes	Cost
0	4753	665
1	4753	665

prune49.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	45	2	47

Merged error: 0b

Counts

47 → 2

Compiler

Compiled 788 to 520 computations (34% saved)

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

0.0b

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

0.0b

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

rewrite35.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
50×	`add-exp-log_binary64`
36×	`*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`
24×	`cbrt-prod_binary64`
22×	`associate-r_binary64`
20×	`prod-exp_binary64`
18×	`add-cbrt-cube_binary64`
16×	`div-exp_binary64`
9×	`unswap-sqr_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
7×	`associate-l_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64` `insert-posit16`
1×	`pow-prod-down_binary64` `acos-asin_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 120

Calls

3 calls:

21.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

5.0ms

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

2.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

series229.0ms (8.4%)

Counts

3 → 9

Calls

3 calls:

118.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

67.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

44.0ms

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

simplify178.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4858	2452
1	4858	2452

prune176.0ms (6.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	129	2	131

Merged error: 0b

Counts

131 → 2

Compiler

Compiled 3118 to 2280 computations (26.9% saved)

regimes20.0ms (0.7%)

Compiler: Compiled 70 to 74 computations (-5.7% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	31
1	42	31

end0.0ms (0%)

sample918.0ms (33.7%)

Algorithm

1×

intervals

Results

612.0ms	8000×	body	80	valid
34.0ms	545×	body	80	nan

Compiler

Compiled 69 to 71 computations (-2.9% saved)

Details

analyze161.0ms (5.9%)

sample28.0ms (1%)

simplify27.0ms (1%)

prune4.0ms (0.1%)

localize12.0ms (0.4%)

rewrite28.0ms (1%)

series217.0ms (8%)

simplify155.0ms (5.7%)

prune89.0ms (3.3%)

localize9.0ms (0.3%)

rewrite9.0ms (0.3%)

series112.0ms (4.1%)

simplify246.0ms (9%)

prune49.0ms (1.8%)

localize14.0ms (0.5%)

rewrite35.0ms (1.3%)

series229.0ms (8.4%)

simplify178.0ms (6.5%)

prune176.0ms (6.5%)

regimes20.0ms (0.7%)

bsearch0.0ms (0%)

simplify7.0ms (0.3%)

end0.0ms (0%)

sample918.0ms (33.7%)

Profiling