Details

analyze506.0ms (11.8%)

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
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify309.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	5186	16

prune3.0ms (0.1%)

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 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
7.1b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_5827` `flip3--_binary64_5810` `flip--_binary64_5781`
10×	`*-un-lft-identity_binary64_5806`
9×	`add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839`
8×	`frac-times_binary64_5816` `associate-/r/_binary64_5754`
6×	`add-cube-cbrt_binary64_5838`
5×	`associate-l_binary64_5749` `associate-r_binary64_5748`
4×	`pow1_binary64_5864` `associate-r/_binary64_5750` `associate-l/_binary64_5751`
3×	`associate-/l*_binary64_5753` `times-frac_binary64_5812`
2×	`prod-exp_binary64_5852` `cbrt-unprod_binary64_5836` `cbrt-undiv_binary64_5837` `div-exp_binary64_5854` `distribute-lft-out--_binary64_5760` `add-log-exp_binary64_5842` `sub-neg_binary64_5799` `difference-of-squares_binary64_5775`
1×	`distribute-lft-in_binary64_5757` `unswap-sqr_binary64_5774` `div-inv_binary64_5803` `distribute-rgt-in_binary64_5758` `-commutative_binary64_5739` `frac-2neg_binary64_5817` `clear-num_binary64_5805` `pow-prod-down_binary64_5874` `associate-/r_binary64_5752`

Counts

2 → 61

Calls

2 calls:

11.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
11.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

series249.0ms (5.8%)

Counts

2 → 6

Calls

2 calls:

198.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
51.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4975	1074
1	4975	1074

prune76.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	6	68

Merged error: 0b

Counts

68 → 6

Compiler

Compiled 1275 to 472 computations (63% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

2.2b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

195×	`times-frac_binary64_5812`
157×	`add-sqr-sqrt_binary64_5827` `*-un-lft-identity_binary64_5806`
77×	`add-cube-cbrt_binary64_5838`
40×	`distribute-lft-out--_binary64_5760` `difference-of-squares_binary64_5775`
21×	`associate-/l*_binary64_5753`
14×	`associate-/r/_binary64_5754`
7×	`div-inv_binary64_5803` `flip3--_binary64_5810` `flip--_binary64_5781`
6×	`add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839`
5×	`associate-/r*_binary64_5752`
3×	`cbrt-undiv_binary64_5837` `div-exp_binary64_5854`
1×	`pow1_binary64_5864` `associate-/l/_binary64_5755` `add-log-exp_binary64_5842` `frac-2neg_binary64_5817` `clear-num_binary64_5805`

Counts

1 → 148

Calls

1 calls:

15.0ms

(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

series193.0ms (4.5%)

Counts

1 → 3

Calls

1 calls:

193.0ms

(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

simplify123.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5270	4256

prune137.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	153	4	157

Merged error: 0b

Counts

157 → 4

Compiler

Compiled 3461 to 797 computations (77% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.2b	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
6.8b	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))

rewrite118.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

395×	`times-frac_binary64_5812`
329×	`add-sqr-sqrt_binary64_5827`
318×	`*-un-lft-identity_binary64_5806`
157×	`add-cube-cbrt_binary64_5838`
111×	`associate-r_binary64_5748`
80×	`distribute-lft-out--_binary64_5760` `difference-of-squares_binary64_5775`
31×	`add-exp-log_binary64_5841`
28×	`associate-/r/_binary64_5754`
24×	`associate-/l*_binary64_5753`
19×	`add-cbrt-cube_binary64_5839`
14×	`div-inv_binary64_5803` `div-exp_binary64_5854` `flip3--_binary64_5810` `flip--_binary64_5781`
10×	`associate-/r*_binary64_5752`
7×	`cbrt-undiv_binary64_5837`
6×	`pow1_binary64_5864`
5×	`prod-exp_binary64_5852`
4×	`unswap-sqr_binary64_5774`
3×	`associate-l_binary64_5749` `1-exp_binary64_5847` `cbrt-unprod_binary64_5836` `add-log-exp_binary64_5842` `rec-exp_binary64_5853`
2×	`frac-2neg_binary64_5817` `clear-num_binary64_5805`
1×	`inv-pow_binary64_5888` `associate-/l/_binary64_5755` `pow-flip_binary64_5877` `-commutative_binary64_5739` `associate-r/_binary64_5750` `pow-prod-down_binary64_5874`

Counts

3 → 327

Calls

3 calls:

42.0ms	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))
20.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
7.0ms	(/.f64 1 (-.f64 y z))

series352.0ms (8.2%)

Counts

3 → 9

Calls

3 calls:

190.0ms	(*.f64 x (/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t)))
113.0ms	(/.f64 (/.f64 1 (-.f64 y z)) (-.f64 y t))
49.0ms	(/.f64 1 (-.f64 y z))

simplify136.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4988	7073
1	4988	7073

prune399.0ms (9.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	336	4	340

Merged error: 0b

Counts

340 → 4

Compiler

Compiled 7738 to 3093 computations (60% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 y t))
0.0b	(/.f64 1 (-.f64 y z))
2.0b	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

rewrite58.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`add-sqr-sqrt_binary64_5827`
71×	`*-un-lft-identity_binary64_5806`
67×	`times-frac_binary64_5812`
41×	`add-cube-cbrt_binary64_5838`
31×	`add-exp-log_binary64_5841`
21×	`associate-l_binary64_5749` `associate-r_binary64_5748`
19×	`add-cbrt-cube_binary64_5839`
14×	`distribute-lft-out--_binary64_5760` `difference-of-squares_binary64_5775`
11×	`div-exp_binary64_5854`
10×	`associate-/r*_binary64_5752`
8×	`prod-exp_binary64_5852` `associate-/r/_binary64_5754`
6×	`pow1_binary64_5864` `unswap-sqr_binary64_5774` `cbrt-undiv_binary64_5837` `associate-/l*_binary64_5753`
4×	`cbrt-unprod_binary64_5836` `div-inv_binary64_5803` `flip3--_binary64_5810` `flip--_binary64_5781`
3×	`1-exp_binary64_5847` `add-log-exp_binary64_5842` `rec-exp_binary64_5853`
2×	`frac-2neg_binary64_5817` `clear-num_binary64_5805`
1×	`frac-times_binary64_5816` `inv-pow_binary64_5888` `pow-flip_binary64_5877` `-commutative_binary64_5739` `associate-r/_binary64_5750` `pow-prod-down_binary64_5874` `associate-*l/_binary64_5751`

Counts

3 → 150

Calls

3 calls:

24.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
6.0ms	(/.f64 1 (-.f64 y z))
6.0ms	(/.f64 x (-.f64 y t))

series457.0ms (10.6%)

Counts

3 → 9

Calls

3 calls:

334.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
72.0ms	(/.f64 x (-.f64 y t))
52.0ms	(/.f64 1 (-.f64 y z))

simplify107.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	6169	2282

prune143.0ms (3.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	159	4	163

Merged error: 0b

Counts

163 → 4

Compiler

Compiled 2928 to 1055 computations (64% saved)

regimes51.0ms (1.2%)

Compiler: Compiled 232 to 224 computations (3.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	87	19
1	87	19

end0.0ms (0%)

sample668.0ms (15.5%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
15.0ms	421×	body	128	invalid

Compiler

Compiled 81 to 75 computations (7.4% saved)

Details

analyze506.0ms (11.8%)

sample21.0ms (0.5%)

simplify309.0ms (7.2%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite27.0ms (0.6%)

series249.0ms (5.8%)

simplify78.0ms (1.8%)

prune76.0ms (1.8%)

localize12.0ms (0.3%)

rewrite37.0ms (0.9%)

series193.0ms (4.5%)

simplify123.0ms (2.9%)

prune137.0ms (3.2%)

localize11.0ms (0.2%)

rewrite118.0ms (2.7%)

series352.0ms (8.2%)

simplify136.0ms (3.2%)

prune399.0ms (9.3%)

localize10.0ms (0.2%)

rewrite58.0ms (1.3%)

series457.0ms (10.6%)

simplify107.0ms (2.5%)

prune143.0ms (3.3%)

regimes51.0ms (1.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample668.0ms (15.5%)

Profiling