Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample20.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	76×	body	512	valid
4.0ms	131×	body	128	valid
2.0ms	32×	body	256	valid
2.0ms	17×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify99.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune7.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 15.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
4.1b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite58.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64_5534`
95×	`add-sqr-sqrt_binary64_5556`
90×	`times-frac_binary64_5540`
43×	`add-cube-cbrt_binary64_5569`
30×	`distribute-lft-out--_binary64_5486`
27×	`cancel-sign-sub-inv_binary64_5500`
23×	`difference-of-squares_binary64_5503`
11×	`add-exp-log_binary64_5572` `associate-/r*_binary64_5478`
10×	`distribute-lft-out_binary64_5485`
8×	`associate-/r/_binary64_5480`
7×	`div-inv_binary64_5531` `add-cbrt-cube_binary64_5570` `difference-of-sqr-1_binary64_5504`
6×	`associate-/l*_binary64_5479`
5×	`add-log-exp_binary64_5573` `pow1_binary64_5595`
4×	`div-exp_binary64_5585` `flip--_binary64_5509`
3×	`flip3--_binary64_5538`
2×	`flip-+_binary64_5508` `inv-pow_binary64_5619` `pow-flip_binary64_5608` `rec-exp_binary64_5584` `frac-2neg_binary64_5545` `1-exp_binary64_5578` `clear-num_binary64_5533` `cbrt-undiv_binary64_5568`
1×	`diff-log_binary64_5626` `flip3-+_binary64_5537` `frac-sub_binary64_5543` `sub-neg_binary64_5527`

Counts

3 → 151

Calls

3 calls:

33.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

series54.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
9.0ms	(/.f64 1 (-.f64 x 1))
9.0ms	(/.f64 1 (+.f64 x 1))

simplify98.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4814	2407
1	4814	2407

prune159.0ms (6.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	1	161

Merged error: 0.1b

Counts

161 → 1

Compiler

Compiled 2679 to 2187 computations (18.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_5534` `times-frac_binary64_5540` `add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569`
3×	`add-cbrt-cube_binary64_5570` `associate-/l_binary64_5479` `add-exp-log_binary64_5572` `associate-/r_binary64_5478`
2×	`associate-/r/_binary64_5480`
1×	`div-inv_binary64_5531` `flip-+_binary64_5508` `flip3-+_binary64_5537` `div-exp_binary64_5585` `frac-2neg_binary64_5545` `add-log-exp_binary64_5573` `clear-num_binary64_5533` `pow1_binary64_5595` `cbrt-undiv_binary64_5568`

Counts

1 → 29

Calls

1 calls:

4.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series20.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

20.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify73.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5511	557

prune32.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0.0b

Counts

33 → 4

Compiler

Compiled 517 to 353 computations (31.7% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
17.9b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
17.9b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
17.9b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite27.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_5566`
15×	`add-exp-log_binary64_5572`
12×	`pow1_binary64_5595`
9×	`cbrt-prod_binary64_5565` `flip-+_binary64_5508` `flip3-+_binary64_5537` `*-un-lft-identity_binary64_5534` `pow-flip_binary64_5608` `add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569` `pow1/3_binary64_5616`
8×	`associate-/r/_binary64_5480`
7×	`add-cbrt-cube_binary64_5570`
4×	`div-exp_binary64_5585` `add-log-exp_binary64_5573` `frac-times_binary64_5544`
3×	`times-frac_binary64_5540` `associate-/l*_binary64_5479` `prod-exp_binary64_5583`
2×	`associate-l/_binary64_5477` `associate-r/_binary64_5476` `rec-exp_binary64_5584` `1-exp_binary64_5578` `pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605` `cbrt-undiv_binary64_5568`
1×	`div-inv_binary64_5531` `cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `inv-pow_binary64_5619` `frac-2neg_binary64_5545` `pow2_binary64_5615` `associate-/r*_binary64_5478` `clear-num_binary64_5533`

Counts

4 → 82

Calls

4 calls:

11.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
2.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series200.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
51.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
47.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
46.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify68.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5201	1548

prune134.0ms (5.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

Compiler

Compiled 2758 to 1868 computations (32.3% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x))))
0.2b	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
17.9b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
17.9b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_5534` `add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569`
21×	`cbrt-prod_binary64_5565`
18×	`times-frac_binary64_5540`
7×	`add-exp-log_binary64_5572`
6×	`cbrt-div_binary64_5566` `associate-/r*_binary64_5478` `unpow-prod-down_binary64_5613`
5×	`add-cbrt-cube_binary64_5570` `pow1_binary64_5595`
4×	`add-log-exp_binary64_5573`
3×	`flip-+_binary64_5508` `flip3-+_binary64_5537` `associate-/l*_binary64_5479` `pow-unpow_binary64_5611` `pow1/3_binary64_5616`
2×	`pow-pow_binary64_5606` `associate-/r/_binary64_5480`
1×	`div-inv_binary64_5531` `div-exp_binary64_5585` `frac-2neg_binary64_5545` `pow-to-exp_binary64_5603` `clear-num_binary64_5533` `sqr-pow_binary64_5506` `pow-exp_binary64_5602` `cbrt-undiv_binary64_5568`

Counts

4 → 88

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
5.0ms	(/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x))))
2.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
2.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series225.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
59.0ms	(/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x))))
48.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
45.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify76.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5215	2002

prune127.0ms (5.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	100	4	104

Merged error: 0.0b

Counts

104 → 4

Compiler

Compiled 2511 to 1765 computations (29.7% saved)

regimes41.0ms (1.8%)

Compiler: Compiled 444 to 354 computations (20.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample762.0ms (32.5%)

Algorithm

1×

intervals

Results

169.0ms	1956×	body	512	valid
148.0ms	4649×	body	128	valid
60.0ms	956×	body	256	valid
49.0ms	439×	body	1024	valid

Compiler

Compiled 229 to 184 computations (19.7% saved)

Details

analyze4.0ms (0.2%)

sample20.0ms (0.9%)

simplify99.0ms (4.2%)

prune7.0ms (0.3%)

localize7.0ms (0.3%)

rewrite58.0ms (2.5%)

series54.0ms (2.3%)

simplify98.0ms (4.2%)

prune159.0ms (6.8%)

localize4.0ms (0.2%)

rewrite6.0ms (0.3%)

series20.0ms (0.9%)

simplify73.0ms (3.1%)

prune32.0ms (1.4%)

localize10.0ms (0.4%)

rewrite27.0ms (1.1%)

series200.0ms (8.5%)

simplify68.0ms (2.9%)

prune134.0ms (5.7%)

localize9.0ms (0.4%)

rewrite24.0ms (1%)

series225.0ms (9.6%)

simplify76.0ms (3.2%)

prune127.0ms (5.4%)

regimes41.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample762.0ms (32.5%)

Profiling