Details

analyze681.0ms (24.7%)

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample25.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
3.0ms	68×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify249.0ms (9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	1028	13
1	1028	13

prune5.0ms (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: 0.0b

Counts

2 → 2

Compiler

Compiled 57 to 46 computations (19.3% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_4590`
5×	`diff-log_binary64_4643`
3×	`add-sqr-sqrt_binary64_4573`
2×	`sum-log_binary64_4642` `flip--_binary64_4526` `*-un-lft-identity_binary64_4551` `pow1_binary64_4612` `flip3--_binary64_4555` `sub-neg_binary64_4544` `add-exp-log_binary64_4589` `add-cbrt-cube_binary64_4587` `cancel-sign-sub-inv_binary64_4517` `add-cube-cbrt_binary64_4586`
1×	`associate-+l-_binary64_4486` `difference-of-squares_binary64_4520` `associate--l+_binary64_4488` `distribute-lft-out--_binary64_4503` `associate--l-_binary64_4489`

Counts

2 → 30

Calls

2 calls:

10.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series162.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

97.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
64.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify60.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5120	530

prune45.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	36	2	38

Merged error: 0b

Counts

38 → 2

Compiler

Compiled 876 to 320 computations (63.5% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.9b	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
5.5b	(.f64 d1 (.f64 (-.f64 (.f64 d2 d2) (.f64 d3 d3)) d1))
9.9b	(.f64 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)) d1)
24.9b	(/.f64 (.f64 d1 (.f64 (-.f64 (.f64 d2 d2) (.f64 d3 d3)) d1)) (*.f64 d1 (+.f64 d2 d3)))

rewrite44.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-exp-log_binary64_4589` `add-cbrt-cube_binary64_4587`
13×	`prod-exp_binary64_4600` `cbrt-unprod_binary64_4584`
11×	`pow1_binary64_4612`
9×	`add-sqr-sqrt_binary64_4573`
7×	`-un-lft-identity_binary64_4551` `associate-l*_binary64_4492` `add-cube-cbrt_binary64_4586`
6×	`cbrt-undiv_binary64_4585` `div-exp_binary64_4602` `associate-l/_binary64_4494` `add-log-exp_binary64_4590` `associate-r/_binary64_4493`
4×	`flip--_binary64_4526` `associate-r_binary64_4491` `flip3--_binary64_4555` `pow-prod-down_binary64_4622`
2×	`associate-/l/_binary64_4498` `*-commutative_binary64_4482` `difference-of-squares_binary64_4520` `associate-/r/_binary64_4497`
1×	`diff-log_binary64_4643` `unswap-sqr_binary64_4519` `frac-2neg_binary64_4562` `div-inv_binary64_4548` `sub-neg_binary64_4544` `associate-/l_binary64_4496` `flip3-+_binary64_4554` `flip-+_binary64_4525` `associate-/r_binary64_4495` `cancel-sign-sub-inv_binary64_4517` `times-frac_binary64_4557` `clear-num_binary64_4550`

Counts

4 → 83

Calls

4 calls:

14.0ms	(/.f64 (.f64 d1 (.f64 (-.f64 (.f64 d2 d2) (.f64 d3 d3)) d1)) (*.f64 d1 (+.f64 d2 d3)))
9.0ms	(.f64 d1 (.f64 (-.f64 (.f64 d2 d2) (.f64 d3 d3)) d1))
7.0ms	(.f64 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)) d1)
4.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

series421.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

179.0ms	(/.f64 (.f64 d1 (.f64 (-.f64 (.f64 d2 d2) (.f64 d3 d3)) d1)) (*.f64 d1 (+.f64 d2 d3)))
117.0ms	(.f64 d1 (.f64 (-.f64 (.f64 d2 d2) (.f64 d3 d3)) d1))
81.0ms	(.f64 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)) d1)
44.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

simplify67.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4945	1522
1	4945	1522

prune85.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Merged error: 0b

Counts

97 → 2

Compiler

Compiled 2653 to 594 computations (77.6% saved)

regimes69.0ms (2.5%)

Compiler: Compiled 238 to 189 computations (20.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	22
1	52	22

end0.0ms (0%)

sample800.0ms (29%)

Algorithm

1×

intervals

Results

336.0ms	8000×	body	128	valid
92.0ms	2314×	body	128	invalid

Compiler

Compiled 80 to 62 computations (22.5% saved)

Details

analyze681.0ms (24.7%)

sample25.0ms (0.9%)

simplify249.0ms (9%)

prune5.0ms (0.2%)

localize10.0ms (0.4%)

rewrite17.0ms (0.6%)

series162.0ms (5.9%)

simplify60.0ms (2.2%)

prune45.0ms (1.6%)

localize17.0ms (0.6%)

rewrite44.0ms (1.6%)

series421.0ms (15.3%)

simplify67.0ms (2.4%)

prune85.0ms (3.1%)

regimes69.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample800.0ms (29%)

Profiling