Details

analyze1.3s (16.1%)

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)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify183.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4854	25
1	4854	25

prune3.0ms (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: 21.8b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (*.f64 z (-.f64 b y)))
0.0b	(*.f64 z (-.f64 t a))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.0b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_19537`
22×	`*-un-lft-identity_binary64_19515`
20×	`add-cube-cbrt_binary64_19550`
18×	`cancel-sign-sub-inv_binary64_19481`
16×	`associate-+r+_binary64_19447`
12×	`distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464`
9×	`times-frac_binary64_19521`
8×	`add-log-exp_binary64_19554` `add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
6×	`pow1_binary64_19576` `sub-neg_binary64_19508`
5×	`associate-r_binary64_19455`
4×	`flip-+_binary64_19489` `flip3-+_binary64_19518`
3×	`associate-l_binary64_19456` `associate-/r_binary64_19459` `associate-/l_binary64_19460`
2×	`associate-*r/_binary64_19457` `associate-/l/_binary64_19462` `associate-/r/_binary64_19461` `+-commutative_binary64_19445` `sum-log_binary64_19606`
1×	`distribute-lft-out--_binary64_19467` `flip3--_binary64_19519` `cbrt-unprod_binary64_19548` `div-inv_binary64_19512` `div-exp_binary64_19566` `clear-num_binary64_19514` `*-commutative_binary64_19446` `cbrt-undiv_binary64_19549` `difference-of-squares_binary64_19484` `prod-exp_binary64_19564` `flip--_binary64_19490` `pow-prod-down_binary64_19586` `unswap-sqr_binary64_19483` `frac-2neg_binary64_19526`

Counts

4 → 99

Calls

4 calls:

8.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
8.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
4.0ms	(+.f64 y (*.f64 z (-.f64 b y)))

series354.0ms (4.2%)

Counts

4 → 51

Calls

4 calls:

235.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
53.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
36.0ms	(*.f64 z (-.f64 t a))
29.0ms	(+.f64 y (*.f64 z (-.f64 b y)))

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5108	3514

prune171.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	141	9	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	9	151

Merged error: 2.6b

Counts

151 → 9

Compiler

Compiled 4170 to 673 computations (83.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.2b	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
21.0b	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))

rewrite49.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_19521`
66×	`add-sqr-sqrt_binary64_19537`
64×	`*-un-lft-identity_binary64_19515`
62×	`add-cube-cbrt_binary64_19550`
19×	`add-exp-log_binary64_19553`
18×	`associate-/r*_binary64_19459`
13×	`add-cbrt-cube_binary64_19551`
12×	`cancel-sign-sub-inv_binary64_19481`
11×	`associate-/r/_binary64_19461`
8×	`distribute-rgt-in_binary64_19465` `div-exp_binary64_19566` `associate-+r+_binary64_19447` `distribute-lft-in_binary64_19464`
7×	`flip-+_binary64_19489` `pow1_binary64_19576` `flip3-+_binary64_19518`
6×	`div-inv_binary64_19512` `add-log-exp_binary64_19554` `associate-/l*_binary64_19460`
5×	`associate-r_binary64_19455`
4×	`sub-neg_binary64_19508` `cbrt-undiv_binary64_19549`
3×	`associate-l_binary64_19456`
2×	`associate-*r/_binary64_19457` `associate-/l/_binary64_19462` `rec-exp_binary64_19565` `clear-num_binary64_19514` `1-exp_binary64_19559` `frac-2neg_binary64_19526`
1×	`distribute-lft-out--_binary64_19467` `flip3--_binary64_19519` `cbrt-unprod_binary64_19548` `inv-pow_binary64_19600` `*-commutative_binary64_19446` `difference-of-squares_binary64_19484` `prod-exp_binary64_19564` `flip--_binary64_19490` `pow-flip_binary64_19589` `pow-prod-down_binary64_19586` `unswap-sqr_binary64_19483` `+-commutative_binary64_19445` `sum-log_binary64_19606`

Counts

4 → 164

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
8.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))

series569.0ms (6.8%)

Counts

4 → 60

Calls

4 calls:

263.0ms	(/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a))))
222.0ms	(/.f64 1 (/.f64 (+.f64 y (.f64 z (-.f64 b y))) (+.f64 (.f64 x y) (*.f64 z (-.f64 t a)))))
50.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
33.0ms	(*.f64 z (-.f64 t a))

simplify111.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4995	8641
1	4995	8641

prune234.0ms (2.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	221	3	224
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	225	8	233

Merged error: 1.8b

Counts

233 → 8

Compiler

Compiled 7853 to 1417 computations (82% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (-.f64 t a))
0.6b	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
0.7b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
20.6b	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_19537`
29×	`*-un-lft-identity_binary64_19515`
26×	`add-cube-cbrt_binary64_19550`
20×	`times-frac_binary64_19521` `associate-r_binary64_19455`
19×	`add-exp-log_binary64_19553`
13×	`add-cbrt-cube_binary64_19551`
12×	`cancel-sign-sub-inv_binary64_19481`
9×	`pow1_binary64_19576`
8×	`distribute-rgt-in_binary64_19465` `associate-+r+_binary64_19447` `distribute-lft-in_binary64_19464`
6×	`associate-l_binary64_19456` `add-log-exp_binary64_19554`
5×	`flip-+_binary64_19489` `prod-exp_binary64_19564` `flip3-+_binary64_19518`
4×	`associate-/r/_binary64_19461` `div-exp_binary64_19566` `sub-neg_binary64_19508` `unswap-sqr_binary64_19483`
3×	`associate-r/_binary64_19457` `cbrt-unprod_binary64_19548` `associate-/r_binary64_19459` `associate-/l*_binary64_19460`
2×	`associate-l/_binary64_19458` `div-inv_binary64_19512` `rec-exp_binary64_19565` `frac-times_binary64_19525` `-commutative_binary64_19446` `1-exp_binary64_19559` `cbrt-undiv_binary64_19549` `pow-prod-down_binary64_19586`
1×	`distribute-lft-out--_binary64_19467` `flip3--_binary64_19519` `inv-pow_binary64_19600` `clear-num_binary64_19514` `difference-of-squares_binary64_19484` `un-div-inv_binary64_19513` `flip--_binary64_19490` `pow-flip_binary64_19589` `frac-2neg_binary64_19526` `+-commutative_binary64_19445` `sum-log_binary64_19606`

Counts

4 → 124

Calls

4 calls:

16.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
5.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))

series368.0ms (4.4%)

Counts

4 → 51

Calls

4 calls:

227.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (/.f64 1 (+.f64 y (.f64 z (-.f64 b y)))))
58.0ms	(/.f64 1 (+.f64 y (*.f64 z (-.f64 b y))))
50.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
34.0ms	(*.f64 z (-.f64 t a))

simplify108.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4982	4239
1	4982	4239

prune162.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	175	8	183

Merged error: 1.8b

Counts

183 → 8

Compiler

Compiled 5128 to 1104 computations (78.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))))
0.7b	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))
1.3b	(/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
19.8b	(.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))))

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-exp-log_binary64_19553`
31×	`add-sqr-sqrt_binary64_19537`
25×	`*-un-lft-identity_binary64_19515`
24×	`add-cube-cbrt_binary64_19550`
23×	`times-frac_binary64_19521`
20×	`add-cbrt-cube_binary64_19551` `div-exp_binary64_19566`
16×	`prod-exp_binary64_19564`
15×	`associate-r_binary64_19455`
10×	`associate-/r/_binary64_19461` `pow1_binary64_19576` `rec-exp_binary64_19565` `1-exp_binary64_19559`
8×	`associate-+r+_binary64_19447`
7×	`flip-+_binary64_19489` `flip3-+_binary64_19518`
6×	`cancel-sign-sub-inv_binary64_19481` `add-log-exp_binary64_19554` `associate-/l*_binary64_19460` `cbrt-undiv_binary64_19549`
4×	`distribute-rgt-in_binary64_19465` `associate-l/_binary64_19458` `cbrt-unprod_binary64_19548` `associate-/r_binary64_19459` `frac-times_binary64_19525` `distribute-lft-in_binary64_19464`
3×	`associate-l_binary64_19456` `div-inv_binary64_19512` `pow-flip_binary64_19589` `unswap-sqr_binary64_19483`
2×	`associate-*r/_binary64_19457` `inv-pow_binary64_19600` `clear-num_binary64_19514` `sub-neg_binary64_19508` `un-div-inv_binary64_19513` `pow-prod-down_binary64_19586` `frac-2neg_binary64_19526`
1×	`*-commutative_binary64_19446` `+-commutative_binary64_19445` `sum-log_binary64_19606`

Counts

4 → 138

Calls

4 calls:

13.0ms	(.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))))
12.0ms	(/.f64 1 (.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))))
6.0ms	(/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
5.0ms	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))

series636.0ms (7.6%)

Counts

4 → 66

Calls

4 calls:

264.0ms	(.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a)))))
222.0ms	(/.f64 1 (.f64 (+.f64 y (.f64 z (-.f64 b y))) (/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))))
102.0ms	(/.f64 1 (+.f64 (.f64 y x) (.f64 z (-.f64 t a))))
48.0ms	(+.f64 (.f64 y x) (.f64 z (-.f64 t a)))

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4986	7041
1	4986	7041

prune196.0ms (2.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	203	9	212

Merged error: 1.8b

Counts

212 → 9

Compiler

Compiled 6634 to 1392 computations (79% saved)

regimes1.7s (20.2%)

Compiler: Compiled 13304 to 7918 computations (40.5% saved)

bsearch4.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	171	210
1	171	210

end0.0ms (0%)

sample1.8s (21.3%)

Algorithm

1×

intervals

Results

417.0ms	8000×	body	128	valid
32.0ms	458×	body	128	invalid

Compiler

Compiled 1819 to 1048 computations (42.4% saved)

Details

analyze1.3s (16.1%)

sample25.0ms (0.3%)

simplify183.0ms (2.2%)

prune3.0ms (0%)

localize19.0ms (0.2%)

rewrite34.0ms (0.4%)

series354.0ms (4.2%)

simplify82.0ms (1%)

prune171.0ms (2%)

localize14.0ms (0.2%)

rewrite49.0ms (0.6%)

series569.0ms (6.8%)

simplify111.0ms (1.3%)

prune234.0ms (2.8%)

localize14.0ms (0.2%)

rewrite45.0ms (0.5%)

series368.0ms (4.4%)

simplify108.0ms (1.3%)

prune162.0ms (1.9%)

localize19.0ms (0.2%)

rewrite51.0ms (0.6%)

series636.0ms (7.6%)

simplify97.0ms (1.2%)

prune196.0ms (2.3%)

regimes1.7s (20.2%)

bsearch4.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.8s (21.3%)

Profiling