Details

analyze36.0ms (1.5%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify165.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune2.0ms (0.1%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_22243`
22×	`add-sqr-sqrt_binary64_22265`
20×	`times-frac_binary64_22249`
12×	`add-cube-cbrt_binary64_22278`
6×	`distribute-lft-out_binary64_22194`
5×	`difference-of-squares_binary64_22212` `distribute-lft-out--_binary64_22195` `associate-/l*_binary64_22188`
4×	`associate-/r*_binary64_22187`
3×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279`
2×	`associate-/l/_binary64_22190` `associate-/r/_binary64_22189`
1×	`div-inv_binary64_22240` `add-log-exp_binary64_22282` `flip--_binary64_22218` `div-sub_binary64_22248` `pow1_binary64_22304` `cbrt-undiv_binary64_22277` `flip3-+_binary64_22246` `flip3--_binary64_22247` `clear-num_binary64_22242` `flip-+_binary64_22217` `frac-2neg_binary64_22254` `div-exp_binary64_22294`

Counts

1 → 46

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

series40.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

40.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

simplify46.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5176	810

prune42.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	4	50

Merged error: 0b

Counts

50 → 4

Compiler

Compiled 729 to 165 computations (77.4% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 y (+.f64 x y))
0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

rewrite46.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`*-un-lft-identity_binary64_22243`
52×	`times-frac_binary64_22249`
43×	`add-sqr-sqrt_binary64_22265`
31×	`add-cube-cbrt_binary64_22278`
18×	`cancel-sign-sub-inv_binary64_22209`
15×	`distribute-lft-out_binary64_22194`
10×	`associate-/r/_binary64_22189`
8×	`associate-/r*_binary64_22187`
7×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279` `distribute-lft-out--_binary64_22195`
6×	`associate-/l*_binary64_22188`
5×	`div-inv_binary64_22240` `add-log-exp_binary64_22282` `flip3-+_binary64_22246` `flip-+_binary64_22217`
4×	`difference-of-squares_binary64_22212`
3×	`pow1_binary64_22304` `distribute-rgt-out--_binary64_22197`
2×	`cbrt-undiv_binary64_22277` `clear-num_binary64_22242` `frac-2neg_binary64_22254` `div-exp_binary64_22294`
1×	`sub-div_binary64_22250` `flip--_binary64_22218` `frac-sub_binary64_22252` `flip3--_binary64_22247` `sub-neg_binary64_22236` `diff-log_binary64_22335`

Counts

3 → 111

Calls

3 calls:

27.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
5.0ms	(/.f64 y (+.f64 x y))
5.0ms	(/.f64 x (+.f64 x y))

series106.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

56.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
26.0ms	(/.f64 y (+.f64 x y))
24.0ms	(/.f64 x (+.f64 x y))

simplify97.0ms (4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4921	1617
1	4921	1617

prune73.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	120	4	124

Merged error: 0b

Counts

124 → 4

Compiler

Compiled 1938 to 361 computations (81.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 y (+.f64 x y))
0.0b	(-.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 (/.f64 y (+.f64 x y)))))
1.9b	(log.f64 (exp.f64 (/.f64 y (+.f64 x y))))

rewrite66.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`*-un-lft-identity_binary64_22243`
49×	`times-frac_binary64_22249`
46×	`add-sqr-sqrt_binary64_22265`
41×	`add-cube-cbrt_binary64_22278`
39×	`log-pow_binary64_22332`
36×	`exp-prod_binary64_22295`
22×	`cancel-sign-sub-inv_binary64_22209`
14×	`distribute-lft-out_binary64_22194`
8×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279` `associate-/r/_binary64_22189` `associate-/r*_binary64_22187`
7×	`pow1_binary64_22304`
6×	`log-prod_binary64_22329` `associate-/l*_binary64_22188`
5×	`add-log-exp_binary64_22282`
4×	`div-inv_binary64_22240` `flip3-+_binary64_22246` `flip-+_binary64_22217`
3×	`associate--r+_binary64_22179`
2×	`cbrt-undiv_binary64_22277` `difference-of-squares_binary64_22212` `clear-num_binary64_22242` `frac-2neg_binary64_22254` `distribute-lft-out--_binary64_22195` `div-exp_binary64_22294`
1×	`rem-log-exp_binary64_22284` `flip--_binary64_22218` `flip3--_binary64_22247` `sub-neg_binary64_22236` `diff-log_binary64_22335`

Counts

4 → 136

Calls

4 calls:

32.0ms	(-.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 (/.f64 y (+.f64 x y)))))
8.0ms	(log.f64 (exp.f64 (/.f64 y (+.f64 x y))))
5.0ms	(/.f64 x (+.f64 x y))
5.0ms	(/.f64 y (+.f64 x y))

series168.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(-.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 (/.f64 y (+.f64 x y)))))
40.0ms	(log.f64 (exp.f64 (/.f64 y (+.f64 x y))))
30.0ms	(/.f64 x (+.f64 x y))
23.0ms	(/.f64 y (+.f64 x y))

simplify78.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4926	1827
1	4926	1827

prune91.0ms (3.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	148	4	152

Merged error: 0b

Counts

152 → 4

Compiler

Compiled 2554 to 488 computations (80.9% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))

rewrite32.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_22274`
35×	`*-un-lft-identity_binary64_22243`
23×	`add-sqr-sqrt_binary64_22265`
18×	`cbrt-div_binary64_22275`
15×	`add-cube-cbrt_binary64_22278`
11×	`pow1_binary64_22304`
9×	`distribute-lft-out_binary64_22194` `pow1/3_binary64_22325` `flip3-+_binary64_22246` `flip-+_binary64_22217` `swap-sqr_binary64_22210`
7×	`associate-r_binary64_22183` `associate-l_binary64_22184`
6×	`add-exp-log_binary64_22281`
4×	`frac-times_binary64_22253` `add-log-exp_binary64_22282` `add-cbrt-cube_binary64_22279` `unswap-sqr_binary64_22211`
2×	`associate-r/_binary64_22185` `associate-l/_binary64_22186` `pow-sqr_binary64_22216` `pow-prod-up_binary64_22313` `pow-prod-down_binary64_22314`
1×	`pow-plus_binary64_22306` `cbrt-unprod_binary64_22276` `pow2_binary64_22324` `*-commutative_binary64_22174` `prod-exp_binary64_22292`

Counts

4 → 95

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series499.0ms (20.5%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
118.0ms	(cbrt.f64 (+.f64 x y))
115.0ms	(cbrt.f64 (+.f64 x y))
112.0ms	(cbrt.f64 (+.f64 x y))

simplify72.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5515	1508

prune93.0ms (3.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	107	4	111

Merged error: 0b

Counts

111 → 4

Compiler

Compiled 2696 to 769 computations (71.5% saved)

regimes79.0ms (3.2%)

Compiler: Compiled 725 to 416 computations (42.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms (0%)

sample554.0ms (22.7%)

Algorithm

1×

intervals

Results

189.0ms

8000×

body

128

valid

Compiler

Compiled 243 to 138 computations (43.2% saved)

Details

analyze36.0ms (1.5%)

sample12.0ms (0.5%)

simplify165.0ms (6.8%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite11.0ms (0.5%)

series40.0ms (1.6%)

simplify46.0ms (1.9%)

prune42.0ms (1.7%)

localize5.0ms (0.2%)

rewrite46.0ms (1.9%)

series106.0ms (4.4%)

simplify97.0ms (4%)

prune73.0ms (3%)

localize8.0ms (0.3%)

rewrite66.0ms (2.7%)

series168.0ms (6.9%)

simplify78.0ms (3.2%)

prune91.0ms (3.7%)

localize10.0ms (0.4%)

rewrite32.0ms (1.3%)

series499.0ms (20.5%)

simplify72.0ms (2.9%)

prune93.0ms (3.8%)

regimes79.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample554.0ms (22.7%)

Profiling