Details

analyze469.0ms (3.9%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample34.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
1.0ms	10×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify166.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	111	16
1	111	16

prune5.0ms (0%)

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

Error

6.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.5b	(.f64 y (+.f64 1 (.f64 z z)))
3.7b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
3.7b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
5.5b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite47.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_11732`
26×	`add-exp-log_binary64_11764`
20×	`add-sqr-sqrt_binary64_11748`
18×	`add-cube-cbrt_binary64_11761` `*-un-lft-identity_binary64_11726`
16×	`add-cbrt-cube_binary64_11762`
13×	`associate-/l*_binary64_11671`
12×	`div-exp_binary64_11777`
6×	`cbrt-undiv_binary64_11760`
5×	`prod-exp_binary64_11775`
4×	`associate-*r/_binary64_11668` `pow1_binary64_11787`
3×	`associate-r_binary64_11666` `div-inv_binary64_11723` `cbrt-unprod_binary64_11759` `associate-l_binary64_11667`
2×	`flip3-+_binary64_11729` `add-log-exp_binary64_11765` `flip-+_binary64_11700` `associate-/r/_binary64_11672` `1-exp_binary64_11770` `rec-exp_binary64_11776`
1×	`clear-num_binary64_11725` `-commutative_binary64_11657` `distribute-rgt-in_binary64_11676` `pow-prod-down_binary64_11797` `associate-/l/_binary64_11673` `distribute-lft-in_binary64_11675` `frac-2neg_binary64_11737` `associate-/r_binary64_11670` `unswap-sqr_binary64_11694`

Counts

2 → 74

Calls

4 calls:

23.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
12.0ms	(.f64 y (+.f64 1 (.f64 z z)))
0.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
0.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series473.0ms (4%)

Counts

2 → 27

Calls

2 calls:

351.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
121.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 547 to 482 computations (11.9% saved)

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4981	1800
1	4981	1800

prune246.0ms (2.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	92	9	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	9	102

Error

4.8b

Counts

102 → 9

Compiler

Compiled 1789 to 1057 computations (40.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.8b	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
2.2b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
2.2b	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
3.8b	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))

rewrite86.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_11732`
126×	`add-sqr-sqrt_binary64_11748`
93×	`*-un-lft-identity_binary64_11726`
86×	`add-cube-cbrt_binary64_11761`
76×	`add-exp-log_binary64_11764`
45×	`associate-r_binary64_11666`
40×	`div-exp_binary64_11777`
28×	`add-cbrt-cube_binary64_11762`
20×	`prod-exp_binary64_11775`
13×	`associate-/l_binary64_11671` `associate-l*_binary64_11667`
12×	`cbrt-undiv_binary64_11760` `unswap-sqr_binary64_11694`
10×	`div-inv_binary64_11723` `1-exp_binary64_11770` `rec-exp_binary64_11776`
6×	`cbrt-unprod_binary64_11759`
4×	`pow1_binary64_11787` `associate-/r/_binary64_11672`
3×	`associate-/r*_binary64_11670`
2×	`flip3-+_binary64_11729` `add-log-exp_binary64_11765` `flip-+_binary64_11700`
1×	`clear-num_binary64_11725` `frac-times_binary64_11736` `-commutative_binary64_11657` `pow-prod-down_binary64_11797` `associate-r/_binary64_11668` `associate-/l/_binary64_11673` `associate-*l/_binary64_11669` `frac-2neg_binary64_11737`

Counts

2 → 182

Calls

4 calls:

32.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
8.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
0.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))
0.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))

series575.0ms (4.8%)

Counts

2 → 33

Calls

2 calls:

406.0ms	(.f64 (/.f64 1 y) (/.f64 (/.f64 1 x) (+.f64 1 (.f64 z z))))
169.0ms	(/.f64 (/.f64 1 x) (+.f64 1 (*.f64 z z)))

Compiler

Compiled 718 to 626 computations (12.8% saved)

simplify221.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	5074	4880

prune410.0ms (3.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	211	4	215
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	214	10	224

Error

4.8b

Counts

224 → 10

Compiler

Compiled 4646 to 2870 computations (38.2% saved)

localize24.0ms (0.2%)

Local error

Found 8 expressions with local error:

14.2b	(sqrt.f64 (+.f64 1 (*.f64 z z)))
3.7b	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
0.1b	(.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z))))
0.0b	(.f64 y (sqrt.f64 (+.f64 1 (.f64 z z))))
0.1b	(.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z))))
3.7b	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
14.2b	(sqrt.f64 (+.f64 1 (*.f64 z z)))
14.2b	(sqrt.f64 (+.f64 1 (*.f64 z z)))

rewrite75.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-exp-log_binary64_11764`
31×	`times-frac_binary64_11732`
30×	`add-cbrt-cube_binary64_11762`
28×	`sqrt-div_binary64_11743`
24×	`add-sqr-sqrt_binary64_11748`
22×	`add-cube-cbrt_binary64_11761` `*-un-lft-identity_binary64_11726`
18×	`div-exp_binary64_11777`
16×	`associate-*r/_binary64_11668`
15×	`prod-exp_binary64_11775`
14×	`flip3-+_binary64_11729` `flip-+_binary64_11700`
13×	`associate-/l*_binary64_11671`
11×	`pow1_binary64_11787`
9×	`sqrt-prod_binary64_11742` `cbrt-undiv_binary64_11760` `cbrt-unprod_binary64_11759`
8×	`frac-times_binary64_11736` `associate-/r/_binary64_11672`
6×	`associate-r_binary64_11666`
4×	`add-log-exp_binary64_11765` `associate-*l/_binary64_11669`
3×	`pow-prod-down_binary64_11797` `div-inv_binary64_11723` `1-exp_binary64_11770` `rec-exp_binary64_11776`
2×	`rem-sqrt-square_binary64_11739` `sqrt-pow1_binary64_11744` `pow1/2_binary64_11806`
1×	`clear-num_binary64_11725` `-commutative_binary64_11657` `associate-/l/_binary64_11673` `frac-2neg_binary64_11737` `associate-/r_binary64_11670` `associate-l_binary64_11667`

Counts

4 → 123

Calls

8 calls:

31.0ms	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
18.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z))))
6.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))
5.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))
0.0ms	(.f64 y (sqrt.f64 (+.f64 1 (.f64 z z))))

series695.0ms (5.8%)

Counts

4 → 51

Calls

4 calls:

382.0ms	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
146.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z))))
94.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))
72.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))

Compiler

Compiled 1129 to 988 computations (12.5% saved)

simplify152.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4949	3229
1	4949	3229

prune341.0ms (2.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	174	10	184

Error

4.8b

Counts

184 → 10

Compiler

Compiled 3744 to 2294 computations (38.7% saved)

localize17.0ms (0.1%)

Local error

Found 6 expressions with local error:

5.5b	(.f64 y (+.f64 1 (.f64 z z)))
3.3b	(.f64 (.f64 y (+.f64 1 (*.f64 z z))) x)
1.2b	(/.f64 1 (.f64 (.f64 y (+.f64 1 (*.f64 z z))) x))
1.2b	(/.f64 1 (.f64 (.f64 y (+.f64 1 (*.f64 z z))) x))
3.3b	(.f64 (.f64 y (+.f64 1 (*.f64 z z))) x)
5.5b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_11764`
19×	`add-cbrt-cube_binary64_11762`
16×	`pow1_binary64_11787`
13×	`prod-exp_binary64_11775`
10×	`add-sqr-sqrt_binary64_11748`
8×	`add-cube-cbrt_binary64_11761` `*-un-lft-identity_binary64_11726`
7×	`pow-prod-down_binary64_11797` `cbrt-unprod_binary64_11759`
6×	`associate-r_binary64_11666` `associate-*r/_binary64_11668` `div-exp_binary64_11777`
4×	`associate-l/_binary64_11669` `associate-l*_binary64_11667`
3×	`pow-flip_binary64_11800` `associate-/l*_binary64_11671` `flip3-+_binary64_11729` `add-log-exp_binary64_11765` `cbrt-undiv_binary64_11760` `times-frac_binary64_11732` `flip-+_binary64_11700` `1-exp_binary64_11770` `rec-exp_binary64_11776`
2×	`*-commutative_binary64_11657` `associate-/r/_binary64_11672`
1×	`clear-num_binary64_11725` `distribute-rgt-in_binary64_11676` `inv-pow_binary64_11811` `div-inv_binary64_11723` `distribute-lft-in_binary64_11675` `frac-2neg_binary64_11737` `associate-/r*_binary64_11670` `unswap-sqr_binary64_11694`

Counts

3 → 77

Calls

6 calls:

15.0ms	(/.f64 1 (.f64 (.f64 y (+.f64 1 (*.f64 z z))) x))
13.0ms	(.f64 (.f64 y (+.f64 1 (*.f64 z z))) x)
11.0ms	(.f64 y (+.f64 1 (.f64 z z)))
0.0ms	(/.f64 1 (.f64 (.f64 y (+.f64 1 (*.f64 z z))) x))
0.0ms	(.f64 (.f64 y (+.f64 1 (*.f64 z z))) x)

series731.0ms (6.1%)

Counts

3 → 39

Calls

3 calls:

352.0ms	(/.f64 1 (.f64 (.f64 y (+.f64 1 (*.f64 z z))) x))
239.0ms	(.f64 (.f64 y (+.f64 1 (*.f64 z z))) x)
139.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 780 to 700 computations (10.3% saved)

simplify144.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4986	1801
1	4986	1801

prune161.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	117	9	126

Error

4.8b

Counts

126 → 9

Compiler

Compiled 1708 to 949 computations (44.4% saved)

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	259	1141
1	259	1141

regimes965.0ms (8.1%)

Accuracy

Total 1.4b remaining (21.3%)

Threshold costs 0b (0%)

Compiler

Compiled 6378 to 5456 computations (14.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample5.6s (47.4%)

Algorithm

1×

intervals

Results

513.0ms	8000×	body	128	valid
28.0ms	460×	body	128	invalid

Compiler

Compiled 2303 to 1950 computations (15.3% saved)

Pareto

0.3595893844418165

Details

analyze469.0ms (3.9%)

sample34.0ms (0.3%)

simplify166.0ms (1.4%)

prune5.0ms (0%)

localize15.0ms (0.1%)

rewrite47.0ms (0.4%)

series473.0ms (4%)

simplify105.0ms (0.9%)

prune246.0ms (2.1%)

localize13.0ms (0.1%)

rewrite86.0ms (0.7%)

series575.0ms (4.8%)

simplify221.0ms (1.9%)

prune410.0ms (3.4%)

localize24.0ms (0.2%)

rewrite75.0ms (0.6%)

series695.0ms (5.8%)

simplify152.0ms (1.3%)

prune341.0ms (2.9%)

localize17.0ms (0.1%)

rewrite49.0ms (0.4%)

series731.0ms (6.1%)

simplify144.0ms (1.2%)

prune161.0ms (1.4%)

simplify31.0ms (0.3%)

regimes965.0ms (8.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.6s (47.4%)

Profiling