Details

analyze478.0ms (19.2%)

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
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample21.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	32×	body	80	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify32.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	418	16
1	418	16

prune7.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 22 to 22 computations (0% saved)

localize19.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (*.f64 y z) 2)
0.0b	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
0.0b	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))

rewrite29.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r*_binary64` `pow1_binary64` `times-frac_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 47

Calls

3 calls:

13.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
10.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
5.0ms	(/.f64 (*.f64 y z) 2)

series26.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 (-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2)) t)
10.0ms	(-.f64 (.f64 1/8 x) (/.f64 (.f64 y z) 2))
4.0ms	(/.f64 (*.f64 y z) 2)

simplify48.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4989	849
1	4989	849

prune43.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Merged error: 0b

Counts

57 → 3

Compiler

Compiled 906 to 567 computations (37.4% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t)
0.0b	(-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z)))
0.2b	(/.f64 y (/.f64 2 z))

rewrite38.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64`
45×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`associate-/r*_binary64`
10×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`div-inv_binary64`
3×	`pow1_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 96

Calls

3 calls:

15.0ms	(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t)
13.0ms	(-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z)))
6.0ms	(/.f64 y (/.f64 2 z))

series26.0ms (1%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z))) t)
10.0ms	(-.f64 (*.f64 1/8 x) (/.f64 y (/.f64 2 z)))
4.0ms	(/.f64 y (/.f64 2 z))

simplify86.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5100	1832

prune70.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

108 → 3

Compiler

Compiled 1914 to 1196 computations (37.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 1/8 x) (.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2))))
0.3b	(*.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))
0.4b	(/.f64 y (sqrt.f64 2))
0.5b	(/.f64 z (sqrt.f64 2))

rewrite40.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64`
84×	`times-frac_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
48×	`sqrt-prod_binary64`
22×	`associate-r_binary64` `associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/r*_binary64`
9×	`unswap-sqr_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r/_binary64` `flip--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 162

Calls

4 calls:

20.0ms	(*.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))
4.0ms	(/.f64 z (sqrt.f64 2))
4.0ms	(-.f64 (.f64 1/8 x) (.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2))))
4.0ms	(/.f64 y (sqrt.f64 2))

series52.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(-.f64 (.f64 1/8 x) (.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2))))
15.0ms	(*.f64 (/.f64 y (sqrt.f64 2)) (/.f64 z (sqrt.f64 2)))
6.0ms	(/.f64 z (sqrt.f64 2))
6.0ms	(/.f64 y (sqrt.f64 2))

simplify101.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4983	2424
1	4983	2424

prune144.0ms (5.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	174	3	177

Merged error: 0b

Counts

177 → 3

Compiler

Compiled 3506 to 2495 computations (28.8% saved)

regimes220.0ms (8.8%)

Compiler: Compiled 246 to 278 computations (-13% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	16
1	48	16

end0.0ms (0%)

sample989.0ms (39.7%)

Algorithm

1×

intervals

Results

316.0ms	7997×	body	80	valid
47.0ms	1168×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Compiler

Compiled 73 to 77 computations (-5.5% saved)

Details

analyze478.0ms (19.2%)

sample21.0ms (0.9%)

simplify32.0ms (1.3%)

prune7.0ms (0.3%)

localize19.0ms (0.8%)

rewrite29.0ms (1.2%)

series26.0ms (1.1%)

simplify48.0ms (1.9%)

prune43.0ms (1.7%)

localize8.0ms (0.3%)

rewrite38.0ms (1.5%)

series26.0ms (1%)

simplify86.0ms (3.5%)

prune70.0ms (2.8%)

localize10.0ms (0.4%)

rewrite40.0ms (1.6%)

series52.0ms (2.1%)

simplify101.0ms (4.1%)

prune144.0ms (5.8%)

regimes220.0ms (8.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample989.0ms (39.7%)

Profiling