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)

sample22.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	143×	body	128	valid
6.0ms	73×	body	512	valid
2.0ms	32×	body	256	valid
1.0ms	8×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify96.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune2.0ms (0.1%)

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: 13.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
3.3b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite60.0ms (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:

37.0ms	(-.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))

series50.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(-.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))

simplify103.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4814	2407
1	4814	2407

prune160.0ms (6.6%)

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: 0.2b

Counts

161 → 1

Compiler

Compiled 2679 to 2187 computations (18.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms (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:

5.0ms

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

series20.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify71.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5511	557

prune34.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0.2b

Counts

33 → 5

Compiler

Compiled 543 to 372 computations (31.5% 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)))))
16.7b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.7b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.7b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite25.0ms (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:

10.0ms	(/.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)))

series205.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
50.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
49.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
47.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify70.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5201	1548

prune140.0ms (5.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	93	6	99

Merged error: 0.2b

Counts

99 → 6

Compiler

Compiled 2807 to 1901 computations (32.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (*.f64 x x))
0.1b	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
23.4b	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))

rewrite42.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-sqr-sqrt_binary64_5556`
68×	`*-un-lft-identity_binary64_5534`
61×	`times-frac_binary64_5540`
44×	`difference-of-squares_binary64_5503`
36×	`associate-l_binary64_5475`
33×	`add-cube-cbrt_binary64_5569`
14×	`sqr-pow_binary64_5506` `unpow-prod-down_binary64_5613`
10×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `associate-/r*_binary64_5478`
7×	`distribute-lft-out--_binary64_5486`
5×	`add-log-exp_binary64_5573` `flip--_binary64_5509` `flip3--_binary64_5538` `pow1_binary64_5595`
4×	`associate-r_binary64_5474` `associate-/r/_binary64_5480`
3×	`cancel-sign-sub-inv_binary64_5500` `associate-/l*_binary64_5479` `sub-neg_binary64_5527`
2×	`div-inv_binary64_5531` `associate-*r/_binary64_5476` `cbrt-unprod_binary64_5567` `div-exp_binary64_5585` `distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483` `frac-times_binary64_5544` `unswap-sqr_binary64_5502` `prod-exp_binary64_5583` `cbrt-undiv_binary64_5568`
1×	`associate-l/_binary64_5477` `diff-log_binary64_5626` `-commutative_binary64_5465` `frac-2neg_binary64_5545` `clear-num_binary64_5533` `pow-prod-down_binary64_5605`

Counts

3 → 134

Calls

3 calls:

17.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))
8.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
3.0ms	(-.f64 -1 (*.f64 x x))

series113.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

52.0ms	(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
37.0ms	(.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (.f64 x x)))
24.0ms	(-.f64 -1 (*.f64 x x))

simplify73.0ms (3%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5324	2753

prune170.0ms (7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	143	6	149

Merged error: 0.2b

Counts

149 → 6

Compiler

Compiled 3026 to 2232 computations (26.2% saved)

regimes62.0ms (2.6%)

Compiler: Compiled 694 to 542 computations (21.9% 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%)

sample858.0ms (35.5%)

Algorithm

1×

intervals

Results

166.0ms	1988×	body	512	valid
140.0ms	4616×	body	128	valid
55.0ms	984×	body	256	valid
46.0ms	412×	body	1024	valid

Compiler

Compiled 354 to 278 computations (21.5% saved)

Details

analyze4.0ms (0.2%)

sample22.0ms (0.9%)

simplify96.0ms (4%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite60.0ms (2.5%)

series50.0ms (2.1%)

simplify103.0ms (4.3%)

prune160.0ms (6.6%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series20.0ms (0.8%)

simplify71.0ms (2.9%)

prune34.0ms (1.4%)

localize10.0ms (0.4%)

rewrite25.0ms (1%)

series205.0ms (8.5%)

simplify70.0ms (2.9%)

prune140.0ms (5.8%)

localize8.0ms (0.3%)

rewrite42.0ms (1.7%)

series113.0ms (4.7%)

simplify73.0ms (3%)

prune170.0ms (7%)

regimes62.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample858.0ms (35.5%)

Profiling