Details

analyze284.0ms (10%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	242×	body	128	valid
1.0ms	20×	body	128	invalid
0.0ms	6×	body	512	valid
0.0ms	7×	body	256	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune7.0ms (0.2%)

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

Merged error: 0.1b

Counts

2 → 2

Compiler

Compiled 43 to 39 computations (9.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series62.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

62.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

simplify78.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4936	315
1	4936	315

prune67.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

Compiler

Compiled 1057 to 727 computations (31.2% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
8.3b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
14.4b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite38.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `associate-r_binary64`
7×	`associate-l_binary64`
6×	`flip3-+_binary64` `associate-/r_binary64` `swap-sqr_binary64` `associate-r/_binary64` `times-frac_binary64` `flip-+_binary64`
4×	`distribute-lft-out--_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `cancel-sign-sub-inv_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

3 → 96

Calls

3 calls:

12.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
10.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
7.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))

series379.0ms (13.3%)

Counts

3 → 9

Calls

3 calls:

236.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
117.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
26.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4993	1725
1	4993	1725

prune119.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Merged error: 0b

Counts

108 → 3

Compiler

Compiled 2485 to 1313 computations (47.2% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (+.f64 d2 d3) 2)
0.3b	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2))))
21.1b	(/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)))

rewrite103.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

405×	`*-un-lft-identity_binary64`
404×	`add-sqr-sqrt_binary64`
402×	`times-frac_binary64`
165×	`difference-of-squares_binary64`
136×	`add-cube-cbrt_binary64`
113×	`distribute-lft-out--_binary64`
62×	`associate-/r*_binary64`
42×	`distribute-lft-out_binary64`
35×	`unpow-prod-down_binary64`
32×	`unpow2_binary64` `sqr-pow_binary64`
11×	`add-exp-log_binary64` `associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `div-sub_binary64` `pow-exp_binary64`

Counts

3 → 332

Calls

3 calls:

25.0ms	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2))))
17.0ms	(/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)))
5.0ms	(pow.f64 (+.f64 d2 d3) 2)

series359.0ms (12.6%)

Counts

3 → 9

Calls

3 calls:

237.0ms	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2))))
94.0ms	(/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)))
27.0ms	(pow.f64 (+.f64 d2 d3) 2)

simplify138.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

341 → 341

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5806	10757

prune492.0ms (17.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	341	0	341
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	341	3	344

Merged error: 0b

Counts

344 → 3

Compiler

Compiled 8924 to 4772 computations (46.5% saved)

regimes31.0ms (1.1%)

Compiler: Compiled 123 to 108 computations (12.2% saved)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample562.0ms (19.8%)

Algorithm

1×

intervals

Results

231.0ms	7494×	body	128	valid
20.0ms	679×	body	128	invalid
17.0ms	160×	body	1024	valid
17.0ms	209×	body	512	valid
8.0ms	137×	body	256	valid

Compiler

Compiled 65 to 57 computations (12.3% saved)

Details

analyze284.0ms (10%)

sample16.0ms (0.6%)

simplify8.0ms (0.3%)

prune7.0ms (0.2%)

localize5.0ms (0.2%)

rewrite11.0ms (0.4%)

series62.0ms (2.2%)

simplify78.0ms (2.7%)

prune67.0ms (2.3%)

localize11.0ms (0.4%)

rewrite38.0ms (1.3%)

series379.0ms (13.3%)

simplify59.0ms (2.1%)

prune119.0ms (4.2%)

localize10.0ms (0.3%)

rewrite103.0ms (3.6%)

series359.0ms (12.6%)

simplify138.0ms (4.9%)

prune492.0ms (17.3%)

regimes31.0ms (1.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample562.0ms (19.8%)

Profiling