Details

analyze454.0ms (12%)

Algorithm

1×

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)

sample18.0ms (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)

simplify256.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	5014	16

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

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)))

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_6579`
12×	`flip--_binary64_6532` `*-un-lft-identity_binary64_6557` `flip3--_binary64_6561`
9×	`add-cbrt-cube_binary64_6593` `add-exp-log_binary64_6595`
8×	`add-cube-cbrt_binary64_6592` `frac-times_binary64_6567` `associate-/r/_binary64_6503`
6×	`cancel-sign-sub-inv_binary64_6523`
5×	`associate-r_binary64_6497` `associate-l_binary64_6498`
4×	`distribute-lft-in_binary64_6506` `associate-l/_binary64_6500` `associate-r/_binary64_6499` `pow1_binary64_6618` `distribute-rgt-in_binary64_6507`
3×	`times-frac_binary64_6563` `associate-/l*_binary64_6502`
2×	`div-exp_binary64_6608` `sub-neg_binary64_6550` `difference-of-squares_binary64_6526` `prod-exp_binary64_6606` `distribute-lft-out--_binary64_6509` `cbrt-undiv_binary64_6591` `add-log-exp_binary64_6596` `cbrt-unprod_binary64_6590`
1×	`-commutative_binary64_6488` `pow-prod-down_binary64_6628` `associate-/r_binary64_6501` `unswap-sqr_binary64_6525` `div-inv_binary64_6554` `clear-num_binary64_6556` `frac-2neg_binary64_6568`

Counts

2 → 67

Calls

2 calls:

15.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series109.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

85.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
23.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4991	1174
1	4991	1174

prune64.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Error

Counts

74 → 5

Compiler

Compiled 1381 to 475 computations (65.6% 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))))

rewrite47.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-exp-log_binary64_6595`
20×	`associate-r_binary64_6497` `add-sqr-sqrt_binary64_6579`
19×	`add-cbrt-cube_binary64_6593`
18×	`flip--_binary64_6532` `flip3--_binary64_6561`
16×	`associate-/r/_binary64_6503` `*-un-lft-identity_binary64_6557`
14×	`prod-exp_binary64_6606`
12×	`add-cube-cbrt_binary64_6592` `frac-times_binary64_6567`
10×	`pow1_binary64_6618`
8×	`div-exp_binary64_6608` `associate-l_binary64_6498`
7×	`associate-*r/_binary64_6499`
6×	`associate-*l/_binary64_6500` `cbrt-unprod_binary64_6590` `times-frac_binary64_6563` `cancel-sign-sub-inv_binary64_6523`
4×	`distribute-lft-in_binary64_6506` `distribute-rgt-in_binary64_6507` `rec-exp_binary64_6607` `cbrt-undiv_binary64_6591` `1-exp_binary64_6601`
3×	`pow-prod-down_binary64_6628` `add-log-exp_binary64_6596` `associate-/l*_binary64_6502`
2×	`*-commutative_binary64_6488` `sub-neg_binary64_6550` `difference-of-squares_binary64_6526` `unswap-sqr_binary64_6525` `div-inv_binary64_6554` `distribute-lft-out--_binary64_6509` `pow-flip_binary64_6631`
1×	`associate-/r*_binary64_6501` `un-div-inv_binary64_6555` `clear-num_binary64_6556` `inv-pow_binary64_6642` `frac-2neg_binary64_6568`

Counts

3 → 114

Calls

3 calls:

16.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))
11.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
10.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))

series164.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

87.0ms	(.f64 x (/.f64 1 (.f64 (-.f64 y z) (-.f64 y t))))
54.0ms	(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
23.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

simplify44.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4996	1850
1	4996	1850

prune98.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	124	4	128

Error

Counts

128 → 4

Compiler

Compiled 2333 to 897 computations (61.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.2b	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
9.2b	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))

rewrite102.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

395×	`times-frac_binary64_6563`
329×	`add-sqr-sqrt_binary64_6579`
318×	`*-un-lft-identity_binary64_6557`
157×	`add-cube-cbrt_binary64_6592`
111×	`associate-r_binary64_6497`
80×	`difference-of-squares_binary64_6526` `distribute-lft-out--_binary64_6509`
31×	`add-exp-log_binary64_6595`
28×	`associate-/r/_binary64_6503`
24×	`associate-/l*_binary64_6502`
19×	`add-cbrt-cube_binary64_6593`
14×	`flip--_binary64_6532` `div-exp_binary64_6608` `div-inv_binary64_6554` `flip3--_binary64_6561`
10×	`associate-/r*_binary64_6501`
7×	`cbrt-undiv_binary64_6591`
6×	`pow1_binary64_6618`
5×	`prod-exp_binary64_6606`
4×	`unswap-sqr_binary64_6525`
3×	`associate-l_binary64_6498` `rec-exp_binary64_6607` `add-log-exp_binary64_6596` `cbrt-unprod_binary64_6590` `1-exp_binary64_6601`
2×	`clear-num_binary64_6556` `frac-2neg_binary64_6568`
1×	`-commutative_binary64_6488` `pow-prod-down_binary64_6628` `associate-r/_binary64_6499` `inv-pow_binary64_6642` `pow-flip_binary64_6631` `associate-/l/_binary64_6504`

Counts

3 → 327

Calls

3 calls:

43.0ms	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))
13.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
6.0ms	(/.f64 1 (-.f64 y z))

series167.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

88.0ms	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))
56.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
23.0ms	(/.f64 1 (-.f64 y z))

simplify126.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5211	7069

prune319.0ms (8.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	336	4	340

Error

Counts

340 → 4

Compiler

Compiled 7735 to 3085 computations (60.1% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.6b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))

rewrite40.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`add-sqr-sqrt_binary64_6579`
42×	`times-frac_binary64_6563`
40×	`*-un-lft-identity_binary64_6557`
36×	`associate-r_binary64_6497`
26×	`add-cube-cbrt_binary64_6592` `cbrt-prod_binary64_6588`
25×	`add-exp-log_binary64_6595`
18×	`add-cbrt-cube_binary64_6593`
11×	`associate-l_binary64_6498`
8×	`prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
7×	`div-exp_binary64_6608` `difference-of-squares_binary64_6526` `distribute-lft-out--_binary64_6509` `cbrt-undiv_binary64_6591`
6×	`pow1_binary64_6618` `unswap-sqr_binary64_6525`
4×	`add-log-exp_binary64_6596` `associate-/r/_binary64_6503`
3×	`pow1/3_binary64_6639`
2×	`flip--_binary64_6532` `div-inv_binary64_6554` `flip3--_binary64_6561`
1×	`-commutative_binary64_6488` `associate-l/_binary64_6500` `pow-prod-down_binary64_6628` `associate-*r/_binary64_6499` `frac-times_binary64_6567`

Counts

4 → 110

Calls

4 calls:

26.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series353.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 y t)))
84.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 x)
78.0ms	(cbrt.f64 x)

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4962	1939
1	4962	1939

prune101.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Error

Counts

126 → 4

Compiler

Compiled 2640 to 825 computations (68.8% saved)

regimes368.0ms (9.7%)

Accuracy

Total 0.6b remaining (99.7%)

Threshold costs 0.6b (99.7%)

Compiler

Compiled 1665 to 1398 computations (16% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	16
1	45	16

end0.0ms (0%)

sample766.0ms (20.2%)

Algorithm

1×

intervals

Results

286.0ms	8000×	body	128	valid
14.0ms	416×	body	128	invalid

Compiler

Compiled 252 to 213 computations (15.5% saved)

Details

analyze454.0ms (12%)

sample18.0ms (0.5%)

simplify256.0ms (6.8%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite30.0ms (0.8%)

series109.0ms (2.9%)

simplify55.0ms (1.4%)

prune64.0ms (1.7%)

localize9.0ms (0.2%)

rewrite47.0ms (1.2%)

series164.0ms (4.3%)

simplify44.0ms (1.2%)

prune98.0ms (2.6%)

localize9.0ms (0.2%)

rewrite102.0ms (2.7%)

series167.0ms (4.4%)

simplify126.0ms (3.3%)

prune319.0ms (8.4%)

localize14.0ms (0.4%)

rewrite40.0ms (1.1%)

series353.0ms (9.3%)

simplify64.0ms (1.7%)

prune101.0ms (2.7%)

regimes368.0ms (9.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample766.0ms (20.2%)

Profiling