Details

analyze342.0ms (5.3%)

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	241×	body	128	valid
1.0ms	8×	body	1024	valid
1.0ms	22×	body	128	invalid
1.0ms	7×	body	512	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

prune2.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
0.0b	(*.f64 x (+.f64 y z))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
4×	`add-cube-cbrt_binary64_17163` `associate-r_binary64_17068` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `pow1_binary64_17189` `add-log-exp_binary64_17167`
3×	`associate-l_binary64_17069`
2×	`associate-*r/_binary64_17070` `distribute-rgt-in_binary64_17078` `flip-+_binary64_17102` `associate-+l+_binary64_17061` `flip3-+_binary64_17131` `distribute-lft-in_binary64_17077`
1×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177` `distribute-lft-out_binary64_17079` `unswap-sqr_binary64_17096` `+-commutative_binary64_17058` `*-commutative_binary64_17059` `sum-log_binary64_17219` `pow-prod-down_binary64_17199`

Counts

2 → 36

Calls

2 calls:

11.0ms	(*.f64 x (+.f64 y z))
7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

series232.0ms (3.6%)

Counts

2 → 33

Calls

2 calls:

145.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
87.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 487 to 428 computations (12.1% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4970	741
1	4970	741

prune56.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

Compiler

Compiled 867 to 382 computations (55.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 z 5))
0.0b	(+.f64 (.f64 x y) (.f64 x z))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_17167`
4×	`sum-log_binary64_17219`
2×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `flip-+_binary64_17102` `add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166` `pow1_binary64_17189` `*-un-lft-identity_binary64_17128` `+-commutative_binary64_17058` `flip3-+_binary64_17131`
1×	`distribute-lft-out_binary64_17079` `associate-+l+_binary64_17061`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 z 5))
4.0ms	(+.f64 (.f64 x y) (.f64 x z))

series261.0ms (4.1%)

Counts

2 → 33

Calls

2 calls:

160.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 x z)) (*.f64 z 5))
101.0ms	(+.f64 (.f64 x y) (.f64 x z))

Compiler

Compiled 487 to 428 computations (12.1% saved)

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4960	674
1	4960	674

prune38.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

Compiler

Compiled 728 to 323 computations (55.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (.f64 z 25))
0.3b	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
3.7b	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (*.f64 z 25)))
27.8b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (.f64 z 25))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))

rewrite68.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`pow1_binary64_17189`
23×	`add-cbrt-cube_binary64_17164` `add-exp-log_binary64_17166`
20×	`pow-prod-down_binary64_17199`
14×	`associate-*r/_binary64_17070`
13×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
11×	`cbrt-unprod_binary64_17161` `prod-exp_binary64_17177`
9×	`times-frac_binary64_17134`
8×	`distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
6×	`flip-+_binary64_17102` `add-log-exp_binary64_17167` `flip3-+_binary64_17131`
4×	`frac-times_binary64_17138` `pow-sqr_binary64_17101` `associate--l+_binary64_17065` `associate-l_binary64_17069` `pow-prod-up_binary64_17198`
3×	`flip--_binary64_17103` `associate-/l_binary64_17073` `associate-/r_binary64_17072` `flip3--_binary64_17132`
2×	`associate-r_binary64_17068` `associate-/r/_binary64_17074` `associate-l/_binary64_17071` `associate-/l/_binary64_17075` `-commutative_binary64_17059` `pow-plus_binary64_17191`
1×	`clear-num_binary64_17127` `cbrt-undiv_binary64_17162` `diff-log_binary64_17220` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `swap-sqr_binary64_17095` `sub-neg_binary64_17121` `div-exp_binary64_17179` `pow2_binary64_17209` `cancel-sign-sub-inv_binary64_17094` `div-inv_binary64_17125`

Counts

4 → 112

Calls

4 calls:

23.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (.f64 z 25))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
14.0ms	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (*.f64 z 25)))
12.0ms	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
5.0ms	(.f64 z (.f64 z 25))

series1.5s (22.9%)

Counts

4 → 70

Calls

4 calls:

770.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (.f64 z 25))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
456.0ms	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (*.f64 z 25)))
214.0ms	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
29.0ms	(.f64 z (.f64 z 25))

Compiler

Compiled 4082 to 3013 computations (26.2% saved)

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4965	6457
1	4965	6457

prune268.0ms (4.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	180	2	182
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	181	6	187

Merged error: 0.0b

Counts

187 → 6

Compiler

Compiled 6942 to 3002 computations (56.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.3b	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
3.7b	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (*.f64 z 25)))
27.7b	(.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (.f64 z 25))) (/.f64 1 (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5))))

rewrite83.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`pow1_binary64_17189`
29×	`add-exp-log_binary64_17166`
27×	`add-sqr-sqrt_binary64_17150`
23×	`add-cbrt-cube_binary64_17164`
21×	`*-un-lft-identity_binary64_17128`
20×	`add-cube-cbrt_binary64_17163` `times-frac_binary64_17134`
18×	`pow-prod-down_binary64_17199`
16×	`associate-r_binary64_17068`
15×	`associate-*r/_binary64_17070`
12×	`prod-exp_binary64_17177`
10×	`cbrt-unprod_binary64_17161`
8×	`distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
6×	`flip-+_binary64_17102` `frac-times_binary64_17138` `add-log-exp_binary64_17167` `flip3-+_binary64_17131`
5×	`flip--_binary64_17103` `flip3--_binary64_17132`
4×	`associate-/r/_binary64_17074` `associate-l/_binary64_17071` `pow-sqr_binary64_17101` `div-exp_binary64_17179` `associate--l+_binary64_17065` `associate-l*_binary64_17069` `pow-prod-up_binary64_17198`
3×	`associate-/l_binary64_17073` `unswap-sqr_binary64_17096` `associate-/r_binary64_17072`
2×	`cbrt-undiv_binary64_17162` `1-exp_binary64_17172` `rec-exp_binary64_17178` `*-commutative_binary64_17059` `pow-plus_binary64_17191` `div-inv_binary64_17125`
1×	`pow-flip_binary64_17202` `clear-num_binary64_17127` `diff-log_binary64_17220` `frac-2neg_binary64_17139` `swap-sqr_binary64_17095` `un-div-inv_binary64_17126` `sub-neg_binary64_17121` `pow2_binary64_17209` `cancel-sign-sub-inv_binary64_17094` `inv-pow_binary64_17213`

Counts

4 → 137

Calls

4 calls:

27.0ms	(.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (.f64 z 25))) (/.f64 1 (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5))))
14.0ms	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (*.f64 z 25)))
12.0ms	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
12.0ms	(/.f64 1 (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))

series1.6s (25.4%)

Counts

4 → 85

Calls

4 calls:

798.0ms	(.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (.f64 z 25))) (/.f64 1 (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5))))
462.0ms	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 z (*.f64 z 25)))
205.0ms	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
165.0ms	(/.f64 1 (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))

Compiler

Compiled 5178 to 3796 computations (26.7% saved)

simplify100.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4972	7872
1	4972	7872

prune357.0ms (5.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	222	6	228

Merged error: 0.0b

Counts

228 → 6

Compiler

Compiled 8758 to 3837 computations (56.2% saved)

regimes190.0ms (3%)

Compiler: Compiled 1908 to 1342 computations (29.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample873.0ms (13.6%)

Algorithm

1×

intervals

Results

227.0ms	7674×	body	128	valid
22.0ms	672×	body	128	invalid
17.0ms	172×	body	1024	valid
9.0ms	113×	body	512	valid
2.0ms	41×	body	256	valid

Compiler

Compiled 476 to 338 computations (29% saved)

Details

analyze342.0ms (5.3%)

sample17.0ms (0.3%)

simplify94.0ms (1.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite20.0ms (0.3%)

series232.0ms (3.6%)

simplify68.0ms (1.1%)

prune56.0ms (0.9%)

localize7.0ms (0.1%)

rewrite13.0ms (0.2%)

series261.0ms (4.1%)

simplify95.0ms (1.5%)

prune38.0ms (0.6%)

localize12.0ms (0.2%)

rewrite68.0ms (1.1%)

series1.5s (22.9%)

simplify90.0ms (1.4%)

prune268.0ms (4.2%)

localize14.0ms (0.2%)

rewrite83.0ms (1.3%)

series1.6s (25.4%)

simplify100.0ms (1.6%)

prune357.0ms (5.6%)

regimes190.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample873.0ms (13.6%)

Profiling