Details

analyze129.0ms (0.8%)

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
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

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample14.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify211.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune2.0ms (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

Merged error: 5.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
5.4b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

17.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
13.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

series48.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
11.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4943	1186
1	4943	1186

prune92.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

Compiler

Compiled 1312 to 957 computations (27.1% saved)

localize7.0ms (0%)

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))

rewrite178.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

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-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
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` `clear-num_binary64_19514` `frac-2neg_binary64_19526`
2×	`flip3--_binary64_19519` `div-sub_binary64_19520` `flip--_binary64_19490`

Counts

3 → 592

Calls

3 calls:

26.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
10.0ms	(/.f64 (-.f64 3 x) 3)
9.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))

series87.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
32.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
21.0ms	(/.f64 (-.f64 3 x) 3)

simplify295.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

601 → 601

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4964	20019
1	4964	20019

prune1.5s (9.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	599	2	601
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	600	5	605

Merged error: 0b

Counts

605 → 5

Compiler

Compiled 14866 to 10465 computations (29.6% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite38.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-sqr-sqrt_binary64_19537`
54×	`*-un-lft-identity_binary64_19515`
52×	`times-frac_binary64_19521`
31×	`add-cube-cbrt_binary64_19550`
22×	`associate-l_binary64_19456`
19×	`associate-r_binary64_19455`
16×	`add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
13×	`difference-of-squares_binary64_19484`
10×	`distribute-lft-out--_binary64_19467`
5×	`div-exp_binary64_19566` `associate-/l*_binary64_19460` `cbrt-undiv_binary64_19549`
4×	`cbrt-unprod_binary64_19548` `pow1_binary64_19576` `prod-exp_binary64_19564` `unswap-sqr_binary64_19483`
3×	`associate-/r*_binary64_19459` `div-inv_binary64_19512`
2×	`associate-/l/_binary64_19462` `add-log-exp_binary64_19554`
1×	`associate-r/_binary64_19457` `flip3--_binary64_19519` `associate-l/_binary64_19458` `frac-times_binary64_19525` `clear-num_binary64_19514` `*-commutative_binary64_19446` `div-sub_binary64_19520` `flip--_binary64_19490` `pow-prod-down_binary64_19586` `frac-2neg_binary64_19526`

Counts

2 → 103

Calls

2 calls:

22.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
6.0ms	(/.f64 (-.f64 3 x) 3)

series51.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
22.0ms	(/.f64 (-.f64 3 x) 3)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5005	1882

prune129.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

Compiler

Compiled 1998 to 1494 computations (25.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.1b	(/.f64 (/.f64 (-.f64 3 x) 3) y)
0.1b	(/.f64 (-.f64 1 x) (/.f64 1 (/.f64 (/.f64 (-.f64 3 x) 3) y)))
0.2b	(/.f64 1 (/.f64 (/.f64 (-.f64 3 x) 3) y))

rewrite669.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Rules

5274×	`times-frac_binary64_19521`
2979×	`add-sqr-sqrt_binary64_19537` `*-un-lft-identity_binary64_19515`
1930×	`add-cube-cbrt_binary64_19550`
619×	`difference-of-squares_binary64_19484`
430×	`distribute-lft-out--_binary64_19467`
255×	`associate-/r*_binary64_19459`
115×	`div-inv_binary64_19512`
64×	`add-exp-log_binary64_19553`
44×	`div-exp_binary64_19566`
34×	`add-cbrt-cube_binary64_19551`
33×	`associate-/l*_binary64_19460`
20×	`cbrt-undiv_binary64_19549`
9×	`associate-/r/_binary64_19461`
6×	`rec-exp_binary64_19565` `1-exp_binary64_19559`
5×	`associate-/l/_binary64_19462` `pow1_binary64_19576`
4×	`add-log-exp_binary64_19554` `clear-num_binary64_19514` `div-sub_binary64_19520` `frac-2neg_binary64_19526`
2×	`flip3--_binary64_19519` `flip--_binary64_19490`
1×	`inv-pow_binary64_19600` `pow-flip_binary64_19589`

Counts

4 → 1755

Calls

4 calls:

104.0ms	(/.f64 (-.f64 1 x) (/.f64 1 (/.f64 (/.f64 (-.f64 3 x) 3) y)))
30.0ms	(/.f64 1 (/.f64 (/.f64 (-.f64 3 x) 3) y))
10.0ms	(/.f64 (/.f64 (-.f64 3 x) 3) y)
6.0ms	(/.f64 (-.f64 3 x) 3)

series125.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(/.f64 (-.f64 1 x) (/.f64 1 (/.f64 (/.f64 (-.f64 3 x) 3) y)))
34.0ms	(/.f64 (-.f64 3 x) 3)
25.0ms	(/.f64 1 (/.f64 (/.f64 (-.f64 3 x) 3) y))
24.0ms	(/.f64 (/.f64 (-.f64 3 x) 3) y)

simplify931.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1767 → 1767

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5170	70292

prune9.1s (58.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1767	0	1767
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	1767	5	1772

Merged error: 0b

Counts

1772 → 5

Compiler

Compiled 51380 to 37980 computations (26.1% saved)

regimes327.0ms (2.1%)

Compiler: Compiled 1737 to 1511 computations (13% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms (0%)

sample1.5s (9.3%)

Algorithm

1×

intervals

Results

470.0ms	8000×	body	128	valid
19.0ms	326×	body	128	invalid

Compiler

Compiled 347 to 303 computations (12.7% saved)

Details

analyze129.0ms (0.8%)

sample14.0ms (0.1%)

simplify211.0ms (1.4%)

prune2.0ms (0%)

localize7.0ms (0%)

rewrite36.0ms (0.2%)

series48.0ms (0.3%)

simplify83.0ms (0.5%)

prune92.0ms (0.6%)

localize7.0ms (0%)

rewrite178.0ms (1.1%)

series87.0ms (0.6%)

simplify295.0ms (1.9%)

prune1.5s (9.6%)

localize7.0ms (0%)

rewrite38.0ms (0.2%)

series51.0ms (0.3%)

simplify52.0ms (0.3%)

prune129.0ms (0.8%)

localize9.0ms (0.1%)

rewrite669.0ms (4.3%)

series125.0ms (0.8%)

simplify931.0ms (6%)

prune9.1s (58.3%)

regimes327.0ms (2.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.5s (9.3%)

Profiling