Details

analyze247.0ms (2.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4872	32
1	4872	32
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Symmetry

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample21.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

4.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
4.5b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite119.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
13×	`add-sqr-sqrt_binary64_19537`
12×	`flip3--_binary64_19519` `flip--_binary64_19490`
11×	`*-un-lft-identity_binary64_19515`
8×	`frac-times_binary64_19525` `associate-/l/_binary64_19462`
6×	`add-cube-cbrt_binary64_19550` `cancel-sign-sub-inv_binary64_19481` `associate-l_binary64_19456`
5×	`prod-exp_binary64_19564` `cbrt-unprod_binary64_19548` `associate-r_binary64_19455`
4×	`pow1_binary64_19576` `div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `associate-l/_binary64_19458` `associate-r/_binary64_19457` `distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464`
3×	`difference-of-squares_binary64_19484`
2×	`add-log-exp_binary64_19554` `sub-neg_binary64_19508` `distribute-lft-out--_binary64_19467`
1×	`frac-2neg_binary64_19526` `times-frac_binary64_19521` `clear-num_binary64_19514` `div-inv_binary64_19512` `associate-/l_binary64_19460` `associate-/r_binary64_19459` `pow-prod-down_binary64_19586` `unswap-sqr_binary64_19483` `*-commutative_binary64_19446`

Counts

2 → 68

Calls

2 calls:

13.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
11.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 1450 to 1064 computations (26.6% saved)

series256.0ms (3%)

Error

4.2b

Counts

2 → 21

Calls

2 calls:

178.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
57.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

Compiler

Compiled 591 to 491 computations (16.9% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4943	1315
1	4943	1315

prune93.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 1445 to 1056 computations (26.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.1b	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
0.1b	(/.f64 y (/.f64 (-.f64 3 x) 3))

rewrite1.6s (18.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1218×	`times-frac_binary64_19521`
808×	`add-sqr-sqrt_binary64_19537` `*-un-lft-identity_binary64_19515`
461×	`add-cube-cbrt_binary64_19550`
205×	`difference-of-squares_binary64_19484`
142×	`distribute-lft-out--_binary64_19467`
84×	`associate-/r*_binary64_19459`
35×	`div-inv_binary64_19512`
19×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
14×	`associate-/l*_binary64_19460`
10×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549`
9×	`associate-/r/_binary64_19461`
4×	`associate-/l/_binary64_19462`
3×	`pow1_binary64_19576` `add-log-exp_binary64_19554` `frac-2neg_binary64_19526` `clear-num_binary64_19514`
2×	`div-sub_binary64_19520` `flip3--_binary64_19519` `flip--_binary64_19490`

Counts

3 → 592

Calls

3 calls:

27.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
9.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
6.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 15998 to 11611 computations (27.4% saved)

series291.0ms (3.4%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

153.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
80.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
32.0ms	(/.f64 (-.f64 3 x) 3)

Compiler

Compiled 1094 to 862 computations (21.2% saved)

simplify198.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

625 → 625

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5112	20379

prune1.3s (15.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	622	3	625
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	623	7	630

Error

Counts

630 → 7

Compiler

Compiled 15215 to 10679 computations (29.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 3 x))
0.1b	(.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3))
0.1b	(/.f64 (-.f64 1 x) (.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3)))
0.1b	(*.f64 (/.f64 1 (-.f64 3 x)) 3)

rewrite225.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-exp-log_binary64_19553` `add-sqr-sqrt_binary64_19537`
48×	`*-un-lft-identity_binary64_19515`
38×	`times-frac_binary64_19521`
34×	`add-cbrt-cube_binary64_19551`
27×	`add-cube-cbrt_binary64_19550`
24×	`associate-l_binary64_19456`
22×	`prod-exp_binary64_19564`
14×	`div-exp_binary64_19566`
12×	`pow1_binary64_19576` `cbrt-unprod_binary64_19548`
11×	`difference-of-squares_binary64_19484`
9×	`distribute-lft-out--_binary64_19467` `associate-/l*_binary64_19460`
8×	`cbrt-undiv_binary64_19549`
6×	`associate-/r*_binary64_19459`
5×	`associate-/r/_binary64_19461`
4×	`pow-prod-down_binary64_19586` `1-exp_binary64_19559` `rec-exp_binary64_19565` `add-log-exp_binary64_19554` `associate-r_binary64_19455`
3×	`unswap-sqr_binary64_19483` `associate-*l/_binary64_19458` `div-inv_binary64_19512` `flip3--_binary64_19519` `flip--_binary64_19490`
2×	`-commutative_binary64_19446` `frac-2neg_binary64_19526` `clear-num_binary64_19514` `associate-/l/_binary64_19462` `associate-r/_binary64_19457`
1×	`div-sub_binary64_19520` `inv-pow_binary64_19600` `pow-flip_binary64_19589`

Counts

4 → 144

Calls

4 calls:

15.0ms	(/.f64 (-.f64 1 x) (.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3)))
13.0ms	(.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3))
11.0ms	(*.f64 (/.f64 1 (-.f64 3 x)) 3)
6.0ms	(/.f64 1 (-.f64 3 x))

Compiler

Compiled 3016 to 2397 computations (20.5% saved)

series375.0ms (4.4%)

Error

Counts

4 → 51

Calls

4 calls:

161.0ms	(/.f64 (-.f64 1 x) (.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3)))
94.0ms	(.f64 y (.f64 (/.f64 1 (-.f64 3 x)) 3))
35.0ms	(*.f64 (/.f64 1 (-.f64 3 x)) 3)
35.0ms	(/.f64 1 (-.f64 3 x))

Compiler

Compiled 1945 to 1586 computations (18.5% saved)

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5099	2710

prune198.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	195	7	202

Error

Counts

202 → 7

Compiler

Compiled 3317 to 2489 computations (25% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 y) (*.f64 4/3 (/.f64 x y)))
0.2b	(/.f64 x (/.f64 y x))
0.3b	(*.f64 4/3 (/.f64 x y))
0.3b	(*.f64 1/3 (/.f64 x (/.f64 y x)))

rewrite263.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

154×	`times-frac_binary64_19521`
104×	`add-sqr-sqrt_binary64_19537`
90×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
57×	`associate-r_binary64_19455`
23×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
13×	`associate-/r*_binary64_19459`
10×	`div-inv_binary64_19512`
8×	`pow1_binary64_19576`
7×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549`
6×	`add-log-exp_binary64_19554` `associate-l_binary64_19456`
5×	`prod-exp_binary64_19564` `cbrt-unprod_binary64_19548` `unswap-sqr_binary64_19483`
4×	`associate-*r/_binary64_19457`
3×	`associate-/l*_binary64_19460`
2×	`pow-prod-down_binary64_19586` `associate-/r/_binary64_19461` `*-commutative_binary64_19446`
1×	`frac-2neg_binary64_19526` `clear-num_binary64_19514` `diff-log_binary64_19607` `frac-sub_binary64_19524` `sub-div_binary64_19522` `flip3--_binary64_19519` `sub-neg_binary64_19508` `flip--_binary64_19490` `cancel-sign-sub-inv_binary64_19481`

Counts

4 → 182

Calls

4 calls:

21.0ms	(*.f64 1/3 (/.f64 x (/.f64 y x)))
8.0ms	(*.f64 4/3 (/.f64 x y))
8.0ms	(-.f64 (/.f64 1 y) (*.f64 4/3 (/.f64 x y)))
6.0ms	(/.f64 x (/.f64 y x))

Compiler

Compiled 4760 to 2145 computations (54.9% saved)

series329.0ms (3.8%)

Error

Counts

4 → 27

Calls

4 calls:

97.0ms	(-.f64 (/.f64 1 y) (*.f64 4/3 (/.f64 x y)))
82.0ms	(*.f64 1/3 (/.f64 x (/.f64 y x)))
67.0ms	(/.f64 x (/.f64 y x))
63.0ms	(*.f64 4/3 (/.f64 x y))

Compiler

Compiled 1286 to 925 computations (28.1% saved)

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4959	2719
1	4959	2719

prune205.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	209	7	216

Error

Counts

216 → 7

Compiler

Compiled 4742 to 2148 computations (54.7% saved)

regimes704.0ms (8.2%)

Accuracy

Total 0.2b remaining (99.8%)

Threshold costs 0.2b (99.8%)

Compiler

Compiled 7593 to 6508 computations (14.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	19
1	25	19

Removed

()

end0.0ms (0%)

sample1.8s (21.1%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	128	valid
8.0ms	293×	body	128	invalid

Compiler

Compiled 1368 to 1175 computations (14.1% saved)

Details

analyze247.0ms (2.9%)

sample21.0ms (0.2%)

simplify75.0ms (0.9%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite119.0ms (1.4%)

series256.0ms (3%)

simplify62.0ms (0.7%)

prune93.0ms (1.1%)

localize7.0ms (0.1%)

rewrite1.6s (18.7%)

series291.0ms (3.4%)

simplify198.0ms (2.3%)

prune1.3s (15.5%)

localize8.0ms (0.1%)

rewrite225.0ms (2.6%)

series375.0ms (4.4%)

simplify57.0ms (0.7%)

prune198.0ms (2.3%)

localize11.0ms (0.1%)

rewrite263.0ms (3.1%)

series329.0ms (3.8%)

simplify91.0ms (1.1%)

prune205.0ms (2.4%)

regimes704.0ms (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (21.1%)

Profiling