Details

analyze2.7s (17.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample54.0ms (0.3%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
1.0ms	9×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify321.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	4854	25
1	4854	25

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

Merged error: 22.4b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 b y))
0.0b	(*.f64 z (-.f64 t a))
1.1b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.8b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite80.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_16468`
26×	`*-un-lft-identity_binary64_16446`
22×	`add-cube-cbrt_binary64_16481`
18×	`cancel-sign-sub-inv_binary64_16412`
12×	`distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `associate-r_binary64_16386`
9×	`times-frac_binary64_16452`
8×	`pow1_binary64_16507` `associate-+r+_binary64_16378`
6×	`add-log-exp_binary64_16485` `sub-neg_binary64_16439` `associate-l_binary64_16387`
4×	`associate-*r/_binary64_16388`
3×	`flip3-+_binary64_16449` `associate-/l_binary64_16391` `flip-+_binary64_16420` `associate-/r_binary64_16390`
2×	`unswap-sqr_binary64_16414` `associate-/l/_binary64_16393` `pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `*-commutative_binary64_16377` `distribute-lft-out--_binary64_16398` `prod-exp_binary64_16495` `associate-/r/_binary64_16392` `flip3--_binary64_16450` `flip--_binary64_16421` `difference-of-squares_binary64_16415`
1×	`+-commutative_binary64_16376` `clear-num_binary64_16445` `cbrt-undiv_binary64_16480` `div-inv_binary64_16443` `sum-log_binary64_16537` `frac-2neg_binary64_16457` `div-exp_binary64_16497`

Counts

4 → 110

Calls

4 calls:

18.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
16.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
14.0ms	(*.f64 z (-.f64 t a))
14.0ms	(*.f64 z (-.f64 b y))

series979.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

770.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
93.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
59.0ms	(*.f64 z (-.f64 b y))
56.0ms	(*.f64 z (-.f64 t a))

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5665	2127

prune243.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	111	11	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	11	123

Merged error: 21.8b

Counts

123 → 11

Compiler

Compiled 3174 to 580 computations (81.7% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.7b	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
1.1b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.4b	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

rewrite95.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_16452`
66×	`add-sqr-sqrt_binary64_16468`
64×	`*-un-lft-identity_binary64_16446`
62×	`add-cube-cbrt_binary64_16481`
19×	`add-exp-log_binary64_16484`
18×	`associate-/r*_binary64_16390`
13×	`add-cbrt-cube_binary64_16482`
12×	`cancel-sign-sub-inv_binary64_16412`
11×	`associate-/r/_binary64_16392`
8×	`associate-+r+_binary64_16378` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `div-exp_binary64_16497`
7×	`pow1_binary64_16507` `flip3-+_binary64_16449` `flip-+_binary64_16420`
6×	`div-inv_binary64_16443` `add-log-exp_binary64_16485` `associate-/l*_binary64_16391`
5×	`associate-r_binary64_16386`
4×	`cbrt-undiv_binary64_16480` `sub-neg_binary64_16439`
3×	`associate-l_binary64_16387`
2×	`associate-*r/_binary64_16388` `clear-num_binary64_16445` `1-exp_binary64_16490` `associate-/l/_binary64_16393` `rec-exp_binary64_16496` `frac-2neg_binary64_16457`
1×	`+-commutative_binary64_16376` `unswap-sqr_binary64_16414` `pow-flip_binary64_16520` `pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `*-commutative_binary64_16377` `distribute-lft-out--_binary64_16398` `prod-exp_binary64_16495` `inv-pow_binary64_16531` `sum-log_binary64_16537` `flip3--_binary64_16450` `flip--_binary64_16421` `difference-of-squares_binary64_16415`

Counts

4 → 164

Calls

4 calls:

19.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
14.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
14.0ms	(*.f64 z (-.f64 t a))
9.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

series2.4s (15.3%)

Counts

4 → 12

Calls

4 calls:

1.7s	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
540.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
92.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
59.0ms	(*.f64 z (-.f64 t a))

simplify168.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5079	5593

prune282.0ms (1.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	176	11	187

Merged error: 21.8b

Counts

187 → 11

Compiler

Compiled 5558 to 989 computations (82.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.8b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
1.1b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.3b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite82.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_16468`
29×	`*-un-lft-identity_binary64_16446`
26×	`add-cube-cbrt_binary64_16481`
20×	`times-frac_binary64_16452` `associate-r_binary64_16386`
19×	`add-exp-log_binary64_16484`
13×	`add-cbrt-cube_binary64_16482`
12×	`cancel-sign-sub-inv_binary64_16412`
9×	`pow1_binary64_16507`
8×	`associate-+r+_binary64_16378` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395`
6×	`add-log-exp_binary64_16485` `associate-l_binary64_16387`
5×	`prod-exp_binary64_16495` `flip3-+_binary64_16449` `flip-+_binary64_16420`
4×	`unswap-sqr_binary64_16414` `sub-neg_binary64_16439` `associate-/r/_binary64_16392` `div-exp_binary64_16497`
3×	`associate-r/_binary64_16388` `cbrt-unprod_binary64_16479` `associate-/l_binary64_16391` `associate-/r*_binary64_16390`
2×	`cbrt-undiv_binary64_16480` `1-exp_binary64_16490` `pow-prod-down_binary64_16517` `-commutative_binary64_16377` `div-inv_binary64_16443` `rec-exp_binary64_16496` `associate-l/_binary64_16389` `frac-times_binary64_16456`
1×	`+-commutative_binary64_16376` `clear-num_binary64_16445` `pow-flip_binary64_16520` `distribute-lft-out--_binary64_16398` `un-div-inv_binary64_16444` `inv-pow_binary64_16531` `sum-log_binary64_16537` `flip3--_binary64_16450` `frac-2neg_binary64_16457` `flip--_binary64_16421` `difference-of-squares_binary64_16415`

Counts

4 → 124

Calls

4 calls:

28.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
13.0ms	(*.f64 z (-.f64 t a))
10.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
9.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))

series1.1s (6.9%)

Counts

4 → 12

Calls

4 calls:

779.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
126.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
93.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
58.0ms	(*.f64 z (-.f64 t a))

simplify144.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5005	2604

prune222.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	136	11	147

Merged error: 21.8b

Counts

147 → 11

Compiler

Compiled 3706 to 829 computations (77.6% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 1 (.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))))
0.9b	(/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
1.1b	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))
20.6b	(.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))))

rewrite96.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-exp-log_binary64_16484`
31×	`add-sqr-sqrt_binary64_16468`
25×	`*-un-lft-identity_binary64_16446`
24×	`add-cube-cbrt_binary64_16481`
23×	`times-frac_binary64_16452`
20×	`add-cbrt-cube_binary64_16482` `div-exp_binary64_16497`
16×	`prod-exp_binary64_16495`
15×	`associate-r_binary64_16386`
10×	`1-exp_binary64_16490` `pow1_binary64_16507` `rec-exp_binary64_16496` `associate-/r/_binary64_16392`
8×	`associate-+r+_binary64_16378`
7×	`flip3-+_binary64_16449` `flip-+_binary64_16420`
6×	`cbrt-undiv_binary64_16480` `add-log-exp_binary64_16485` `associate-/l*_binary64_16391` `cancel-sign-sub-inv_binary64_16412`
4×	`cbrt-unprod_binary64_16479` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `associate-l/_binary64_16389` `associate-/r_binary64_16390` `frac-times_binary64_16456`
3×	`unswap-sqr_binary64_16414` `pow-flip_binary64_16520` `div-inv_binary64_16443` `associate-l_binary64_16387`
2×	`associate-*r/_binary64_16388` `clear-num_binary64_16445` `pow-prod-down_binary64_16517` `un-div-inv_binary64_16444` `inv-pow_binary64_16531` `sub-neg_binary64_16439` `frac-2neg_binary64_16457`
1×	`+-commutative_binary64_16376` `*-commutative_binary64_16377` `sum-log_binary64_16537`

Counts

4 → 138

Calls

4 calls:

24.0ms	(.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))))
21.0ms	(/.f64 1 (.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))))
10.0ms	(/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
10.0ms	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))

series2.5s (16.2%)

Counts

4 → 12

Calls

4 calls:

1.7s	(/.f64 1 (.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))))
551.0ms	(.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))))
145.0ms	(/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
85.0ms	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))

simplify165.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5098	3503

prune228.0ms (1.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	150	11	161

Merged error: 21.8b

Counts

161 → 11

Compiler

Compiled 3965 to 837 computations (78.9% saved)

regimes896.0ms (5.8%)

Compiler: Compiled 6812 to 4154 computations (39% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	25
1	38	25

end0.0ms (0%)

sample2.6s (16.6%)

Algorithm

1×

intervals

Results

829.0ms	8000×	body	128	valid
44.0ms	432×	body	128	invalid

Compiler

Compiled 905 to 557 computations (38.5% saved)

Details

analyze2.7s (17.3%)

sample54.0ms (0.3%)

simplify321.0ms (2.1%)

prune5.0ms (0%)

localize27.0ms (0.2%)

rewrite80.0ms (0.5%)

series979.0ms (6.4%)

simplify88.0ms (0.6%)

prune243.0ms (1.6%)

localize27.0ms (0.2%)

rewrite95.0ms (0.6%)

series2.4s (15.3%)

simplify168.0ms (1.1%)

prune282.0ms (1.8%)

localize28.0ms (0.2%)

rewrite82.0ms (0.5%)

series1.1s (6.9%)

simplify144.0ms (0.9%)

prune222.0ms (1.4%)

localize29.0ms (0.2%)

rewrite96.0ms (0.6%)

series2.5s (16.2%)

simplify165.0ms (1.1%)

prune228.0ms (1.5%)

regimes896.0ms (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.6s (16.6%)

Profiling