Details

analyze423.0ms (7.1%)

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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	233×	body	128	valid
1.0ms	10×	body	512	valid
1.0ms	6×	body	1024	valid
1.0ms	18×	body	128	invalid
1.0ms	7×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify323.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (229.0ms)

Iter	Nodes	Cost
0	2426	16
1	2426	16

prune4.0ms (0.1%)

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: 0.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(*.f64 (-.f64 y x) 6)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_8625`
18×	`*-un-lft-identity_binary64_8603`
15×	`cancel-sign-sub-inv_binary64_8569`
12×	`add-cube-cbrt_binary64_8638`
11×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
10×	`associate-*l/_binary64_8546`
8×	`add-log-exp_binary64_8642` `associate-+r+_binary64_8535` `flip3--_binary64_8607` `distribute-lft-in_binary64_8552` `distribute-rgt-in_binary64_8553` `associate-r_binary64_8543` `flip--_binary64_8578`
6×	`associate-l_binary64_8544`
5×	`sub-neg_binary64_8596`
4×	`cbrt-unprod_binary64_8636` `frac-times_binary64_8613` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674`
3×	`difference-of-squares_binary64_8572` `distribute-lft-out--_binary64_8555`
2×	`associate-r/_binary64_8545` `-commutative_binary64_8534`
1×	`flip3-+_binary64_8606` `flip-+_binary64_8577` `diff-log_binary64_8695` `sum-log_binary64_8694` `+-commutative_binary64_8533` `unswap-sqr_binary64_8571`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
11.0ms	(*.f64 (-.f64 y x) 6)
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
4.0ms	(-.f64 2/3 z)

series535.0ms (8.9%)

Counts

4 → 53

Calls

4 calls:

243.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
200.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
68.0ms	(*.f64 (-.f64 y x) 6)
24.0ms	(-.f64 2/3 z)

Compiler

Compiled 1216 to 1076 computations (11.5% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5224	2006

prune145.0ms (2.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	137	9	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	137	10	147

Merged error: 0.0b

Counts

147 → 10

Compiler

Compiled 2436 to 1455 computations (40.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) (*.f64 z -6)))
0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) (*.f64 z -6))))
0.3b	(.f64 (-.f64 y x) (.f64 z -6))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_8642` `associate-*l/_binary64_8546`
8×	`add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
6×	`add-sqr-sqrt_binary64_8625`
5×	`flip3--_binary64_8607` `associate-l_binary64_8544` `flip--_binary64_8578`
4×	`add-cube-cbrt_binary64_8638` `frac-add_binary64_8611` `sum-log_binary64_8694`
3×	`cbrt-unprod_binary64_8636` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674`
2×	`flip3-+_binary64_8606` `distribute-lft-out_binary64_8554` `flip-+_binary64_8577` `+-commutative_binary64_8533`
1×	`difference-of-squares_binary64_8572` `associate-+r+_binary64_8535` `distribute-lft-out--_binary64_8555` `-commutative_binary64_8534` `associate-r*_binary64_8543`

Counts

3 → 52

Calls

3 calls:

9.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) (*.f64 z -6)))
8.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) (*.f64 z -6))))
8.0ms	(.f64 (-.f64 y x) (.f64 z -6))

series683.0ms (11.4%)

Counts

3 → 50

Calls

3 calls:

278.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) (*.f64 z -6)))
276.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (-.f64 y x) (*.f64 z -6))))
129.0ms	(.f64 (-.f64 y x) (.f64 z -6))

Compiler

Compiled 1295 to 1091 computations (15.8% saved)

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4992	1745
1	4992	1745

prune94.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	102	10	112

Merged error: 0.0b

Counts

112 → 10

Compiler

Compiled 1956 to 1077 computations (44.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y (.f64 6 (-.f64 2/3 z))) (*.f64 x -3))
0.0b	(+.f64 (.f64 6 (.f64 x z)) (+.f64 (.f64 y (.f64 6 (-.f64 2/3 z))) (*.f64 x -3)))
0.1b	(.f64 y (.f64 6 (-.f64 2/3 z)))
0.3b	(.f64 6 (.f64 x z))

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`distribute-lft-in_binary64_8552` `distribute-rgt-in_binary64_8553`
24×	`cancel-sign-sub-inv_binary64_8569`
16×	`associate-+l+_binary64_8536`
14×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
11×	`add-log-exp_binary64_8642`
8×	`sub-neg_binary64_8596`
6×	`cbrt-unprod_binary64_8636` `associate-l_binary64_8544` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674`
4×	`associate-*r/_binary64_8545` `sum-log_binary64_8694`
2×	`flip3-+_binary64_8606` `flip-+_binary64_8577` `-commutative_binary64_8534` `associate-r*_binary64_8543` `+-commutative_binary64_8533`
1×	`associate-+r+_binary64_8535` `flip3--_binary64_8607` `flip--_binary64_8578`

Counts

4 → 94

Calls

4 calls:

11.0ms	(+.f64 (.f64 6 (.f64 x z)) (+.f64 (.f64 y (.f64 6 (-.f64 2/3 z))) (*.f64 x -3)))
11.0ms	(+.f64 (.f64 y (.f64 6 (-.f64 2/3 z))) (*.f64 x -3))
9.0ms	(.f64 y (.f64 6 (-.f64 2/3 z)))
5.0ms	(.f64 6 (.f64 x z))

series583.0ms (9.7%)

Counts

4 → 50

Calls

4 calls:

252.0ms	(+.f64 (.f64 6 (.f64 x z)) (+.f64 (.f64 y (.f64 6 (-.f64 2/3 z))) (*.f64 x -3)))
189.0ms	(+.f64 (.f64 y (.f64 6 (-.f64 2/3 z))) (*.f64 x -3))
81.0ms	(.f64 y (.f64 6 (-.f64 2/3 z)))
60.0ms	(.f64 6 (.f64 x z))

Compiler

Compiled 1334 to 1168 computations (12.4% saved)

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5028	2068

prune150.0ms (2.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	144	10	154

Merged error: 0.0b

Counts

154 → 10

Compiler

Compiled 2946 to 1988 computations (32.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 (-.f64 y x) z) -6))
0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 (-.f64 y x) z) -6)))
0.3b	(.f64 (.f64 (-.f64 y x) z) -6)

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`associate-*l/_binary64_8546`
11×	`add-log-exp_binary64_8642` `add-sqr-sqrt_binary64_8625` `add-exp-log_binary64_8641` `*-un-lft-identity_binary64_8603` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
7×	`add-cube-cbrt_binary64_8638`
6×	`flip3--_binary64_8607` `associate-l_binary64_8544` `associate-r_binary64_8543` `flip--_binary64_8578`
4×	`cbrt-unprod_binary64_8636` `frac-add_binary64_8611` `prod-exp_binary64_8652` `sum-log_binary64_8694` `pow-prod-down_binary64_8674`
2×	`flip3-+_binary64_8606` `flip-+_binary64_8577` `*-commutative_binary64_8534` `+-commutative_binary64_8533`
1×	`difference-of-squares_binary64_8572` `associate-+r+_binary64_8535` `distribute-lft-out_binary64_8554` `distribute-lft-out--_binary64_8555` `unswap-sqr_binary64_8571`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 (-.f64 y x) z) -6))
8.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 (-.f64 y x) z) -6)))
8.0ms	(.f64 (.f64 (-.f64 y x) z) -6)
7.0ms	(*.f64 (-.f64 y x) z)

series749.0ms (12.5%)

Counts

4 → 65

Calls

4 calls:

256.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 (-.f64 y x) z) -6)))
255.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 (-.f64 y x) z) -6))
135.0ms	(.f64 (.f64 (-.f64 y x) z) -6)
102.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 1679 to 1391 computations (17.2% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4970	2041
1	4970	2041

prune106.0ms (1.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	136	10	146

Merged error: 0.0b

Counts

146 → 10

Compiler

Compiled 2373 to 1163 computations (51% saved)

regimes372.0ms (6.2%)

Compiler: Compiled 4119 to 3332 computations (19.1% saved)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	257	22
1	257	22

end0.0ms (0%)

sample1.3s (22.2%)

Algorithm

1×

intervals

Results

304.0ms	7388×	body	128	valid
33.0ms	210×	body	1024	valid
28.0ms	649×	body	128	invalid
27.0ms	245×	body	512	valid
12.0ms	157×	body	256	valid

Compiler

Compiled 837 to 674 computations (19.5% saved)

Details

analyze423.0ms (7.1%)

sample25.0ms (0.4%)

simplify323.0ms (5.4%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite41.0ms (0.7%)

series535.0ms (8.9%)

simplify67.0ms (1.1%)

prune145.0ms (2.4%)

localize9.0ms (0.1%)

rewrite29.0ms (0.5%)

series683.0ms (11.4%)

simplify81.0ms (1.3%)

prune94.0ms (1.6%)

localize12.0ms (0.2%)

rewrite45.0ms (0.8%)

series583.0ms (9.7%)

simplify50.0ms (0.8%)

prune150.0ms (2.5%)

localize9.0ms (0.1%)

rewrite38.0ms (0.6%)

series749.0ms (12.5%)

simplify68.0ms (1.1%)

prune106.0ms (1.8%)

regimes372.0ms (6.2%)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

end0.0ms (0%)

sample1.3s (22.2%)

Profiling