Details

analyze595.0ms (12.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5061	112
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify172.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (167.0ms)

Iter	Nodes	Cost
0	5014	16

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
9.3b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_6920`
12×	`flip--_binary64_6873` `flip3--_binary64_6902` `*-un-lft-identity_binary64_6898`
9×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
8×	`add-cube-cbrt_binary64_6933` `frac-times_binary64_6908` `associate-/r/_binary64_6844`
6×	`cancel-sign-sub-inv_binary64_6864`
5×	`associate-r_binary64_6838` `associate-l_binary64_6839`
4×	`associate-l/_binary64_6841` `pow1_binary64_6959` `distribute-lft-in_binary64_6847` `associate-r/_binary64_6840` `distribute-rgt-in_binary64_6848`
3×	`times-frac_binary64_6904` `associate-/l*_binary64_6843`
2×	`sub-neg_binary64_6891` `prod-exp_binary64_6947` `div-exp_binary64_6949` `add-log-exp_binary64_6937` `distribute-lft-out--_binary64_6850` `cbrt-undiv_binary64_6932` `cbrt-unprod_binary64_6931` `difference-of-squares_binary64_6867`
1×	`unswap-sqr_binary64_6866` `-commutative_binary64_6829` `clear-num_binary64_6897` `pow-prod-down_binary64_6969` `associate-/r_binary64_6842` `frac-2neg_binary64_6909` `div-inv_binary64_6895`

Counts

2 → 67

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series114.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

90.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
23.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4991	1174
1	4991	1174

prune65.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Error

Counts

74 → 4

Compiler

Compiled 1363 to 462 computations (66.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
0.6b	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
9.2b	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-exp-log_binary64_6936`
20×	`associate-r_binary64_6838` `add-sqr-sqrt_binary64_6920`
19×	`add-cbrt-cube_binary64_6934`
18×	`flip--_binary64_6873` `flip3--_binary64_6902`
16×	`associate-/r/_binary64_6844` `*-un-lft-identity_binary64_6898`
14×	`prod-exp_binary64_6947`
12×	`add-cube-cbrt_binary64_6933` `frac-times_binary64_6908`
10×	`pow1_binary64_6959`
8×	`div-exp_binary64_6949` `associate-l_binary64_6839`
7×	`associate-*r/_binary64_6840`
6×	`associate-*l/_binary64_6841` `cbrt-unprod_binary64_6931` `cancel-sign-sub-inv_binary64_6864` `times-frac_binary64_6904`
4×	`1-exp_binary64_6942` `cbrt-undiv_binary64_6932` `rec-exp_binary64_6948` `distribute-lft-in_binary64_6847` `distribute-rgt-in_binary64_6848`
3×	`add-log-exp_binary64_6937` `pow-prod-down_binary64_6969` `associate-/l*_binary64_6843`
2×	`sub-neg_binary64_6891` `pow-flip_binary64_6972` `distribute-lft-out--_binary64_6850` `unswap-sqr_binary64_6866` `*-commutative_binary64_6829` `div-inv_binary64_6895` `difference-of-squares_binary64_6867`
1×	`un-div-inv_binary64_6896` `clear-num_binary64_6897` `associate-/r*_binary64_6842` `frac-2neg_binary64_6909` `inv-pow_binary64_6983`

Counts

3 → 114

Calls

3 calls:

16.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))
13.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
10.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

series166.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

84.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))
58.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
25.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4996	1850
1	4996	1850

prune97.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 2336 to 885 computations (62.1% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

9.3b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
21.9b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
21.9b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
21.9b	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

rewrite50.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64_6929`
32×	`associate-/r/_binary64_6844`
24×	`flip--_binary64_6873` `flip3--_binary64_6902`
16×	`frac-times_binary64_6908`
12×	`add-cube-cbrt_binary64_6933` `add-sqr-sqrt_binary64_6920` `times-frac_binary64_6904` `*-un-lft-identity_binary64_6898`
9×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
8×	`associate-l/_binary64_6841` `associate-r/_binary64_6840`
4×	`pow1_binary64_6959` `add-log-exp_binary64_6937` `div-inv_binary64_6895`
3×	`pow1/3_binary64_6980` `cbrt-div_binary64_6930` `associate-/l*_binary64_6843`
2×	`div-exp_binary64_6949` `cbrt-undiv_binary64_6932`
1×	`prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `clear-num_binary64_6897` `associate-/r*_binary64_6842` `frac-2neg_binary64_6909`

Counts

4 → 101

Calls

4 calls:

10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
9.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))

series776.0ms (16.8%)

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
233.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
229.0ms	(cbrt.f64 (/.f64 x (*.f64 (-.f64 y z) (-.f64 y t))))
75.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4977	2637
1	4977	2637

prune122.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Error

Counts

117 → 4

Compiler

Compiled 4816 to 874 computations (81.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 y t))
0.4b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
2.3b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

rewrite159.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

1260×	`times-frac_binary64_6904`
844×	`add-sqr-sqrt_binary64_6920` `*-un-lft-identity_binary64_6898`
468×	`add-cube-cbrt_binary64_6933`
188×	`distribute-lft-out--_binary64_6850` `difference-of-squares_binary64_6867`
136×	`associate-/r*_binary64_6842`
60×	`associate-/r/_binary64_6844`
33×	`div-inv_binary64_6895`
31×	`add-exp-log_binary64_6936`
28×	`flip--_binary64_6873` `flip3--_binary64_6902`
19×	`div-exp_binary64_6949` `add-cbrt-cube_binary64_6934`
11×	`associate-/l*_binary64_6843`
10×	`cbrt-undiv_binary64_6932`
4×	`pow1_binary64_6959`
3×	`1-exp_binary64_6942` `add-log-exp_binary64_6937` `rec-exp_binary64_6948` `clear-num_binary64_6897` `frac-2neg_binary64_6909`
2×	`associate-/l/_binary64_6845`
1×	`pow-flip_binary64_6972` `div-sub_binary64_6903` `inv-pow_binary64_6983`

Counts

3 → 654

Calls

3 calls:

30.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
16.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
6.0ms	(/.f64 x (-.f64 y t))

series239.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

146.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
61.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
32.0ms	(/.f64 x (-.f64 y t))

simplify197.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

663 → 663

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5140	20157

prune620.0ms (13.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	663	0	663
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	663	4	667

Error

Counts

667 → 4

Compiler

Compiled 16966 to 4360 computations (74.3% saved)

regimes153.0ms (3.3%)

Accuracy

Total 0.6b remaining (99.7%)

Threshold costs 0.6b (99.7%)

Compiler

Compiled 1392 to 1146 computations (17.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	16
1	45	16

Compiler

Compiled 22 to 20 computations (9.1% saved)

end0.0ms (0%)

sample783.0ms (16.9%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	128	valid
14.0ms	416×	body	128	invalid

Compiler

Compiled 213 to 177 computations (16.9% saved)

Details

analyze595.0ms (12.9%)

sample22.0ms (0.5%)

simplify172.0ms (3.7%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite27.0ms (0.6%)

series114.0ms (2.5%)

simplify57.0ms (1.2%)

prune65.0ms (1.4%)

localize9.0ms (0.2%)

rewrite49.0ms (1.1%)

series166.0ms (3.6%)

simplify44.0ms (0.9%)

prune97.0ms (2.1%)

localize15.0ms (0.3%)

rewrite50.0ms (1.1%)

series776.0ms (16.8%)

simplify72.0ms (1.6%)

prune122.0ms (2.6%)

localize9.0ms (0.2%)

rewrite159.0ms (3.4%)

series239.0ms (5.2%)

simplify197.0ms (4.3%)

prune620.0ms (13.4%)

regimes153.0ms (3.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample783.0ms (16.9%)

Profiling