Details

analyze5.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify91.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4923	29
1	4923	29

prune3.0ms (0.2%)

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 38 to 30 computations (21.1% saved)

localize15.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.2b	(.f64 3 (.f64 v v))

rewrite37.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
21×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`frac-times_binary64`
17×	`sqrt-prod_binary64`
16×	`sqrt-div_binary64`
15×	`pow1_binary64`
14×	`flip3--_binary64` `flip--_binary64`
12×	`associate-r_binary64`
10×	`cbrt-unprod_binary64` `associate-*r/_binary64` `prod-exp_binary64`
9×	`associate-*l/_binary64`
7×	`pow-prod-down_binary64` `unswap-sqr_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64`

Counts

3 → 112

Calls

3 calls:

14.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))

series28.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
10.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
3.0ms	(.f64 3 (.f64 v v))

simplify70.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4921	3291
1	4921	3291

prune136.0ms (7.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	2	122

Merged error: 0b

Counts

122 → 2

Compiler

Compiled 3417 to 2549 computations (25.4% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
0.2b	(.f64 3 (.f64 v v))

rewrite25.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`associate-l_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`times-frac_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `frac-times_binary64`
12×	`pow1_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `sqrt-div_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
6×	`pow-prod-down_binary64`
5×	`associate-*l/_binary64`
4×	`sub-neg_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`add-log-exp_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `div-inv_binary64`

Counts

2 → 81

Calls

2 calls:

15.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
6.0ms	(.f64 3 (.f64 v v))

series17.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
3.0ms	(.f64 3 (.f64 v v))

simplify61.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4974	2474
1	4974	2474

prune87.0ms (4.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Merged error: 0b

Counts

89 → 2

Compiler

Compiled 2447 to 1823 computations (25.5% saved)

localize15.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.2b	(.f64 3 (.f64 v v))
0.2b	(.f64 3 (.f64 v v))
1.0b	(.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (sqrt.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))

rewrite54.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`sqrt-div_binary64`
65×	`pow1_binary64`
51×	`frac-times_binary64`
45×	`add-sqr-sqrt_binary64`
32×	`associate-l_binary64`
31×	`associate-*r/_binary64`
28×	`sqrt-pow1_binary64`
27×	`pow-prod-down_binary64`
26×	`flip3--_binary64` `flip--_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
22×	`times-frac_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
18×	`associate-*l/_binary64`
12×	`associate-r_binary64`
10×	`pow1/2_binary64` `pow-prod-up_binary64`
9×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
6×	`pow-sqr_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `div-inv_binary64` `div-exp_binary64` `pow2_binary64`

Counts

4 → 174

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (sqrt.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))
6.0ms	(.f64 3 (.f64 v v))

series31.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
10.0ms	(.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))))) (sqrt.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
3.0ms	(.f64 3 (.f64 v v))
3.0ms	(.f64 3 (.f64 v v))

simplify116.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4963	4807
1	4963	4807

prune348.0ms (18.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	186	2	188

Merged error: 0b

Counts

188 → 2

Compiler

Compiled 7250 to 5554 computations (23.4% saved)

regimes29.0ms (1.6%)

Compiler: Compiled 116 to 92 computations (20.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	29
1	55	29

end0.0ms (0%)

sample647.0ms (35.1%)

Algorithm

1×

intervals

Results

401.0ms	8000×	body	80	valid
0.0ms	4×	body	80	nan

Compiler

Compiled 93 to 75 computations (19.4% saved)

Details

analyze5.0ms (0.3%)

sample17.0ms (0.9%)

simplify91.0ms (4.9%)

prune3.0ms (0.2%)

localize15.0ms (0.8%)

rewrite37.0ms (2%)

series28.0ms (1.5%)

simplify70.0ms (3.8%)

prune136.0ms (7.4%)

localize10.0ms (0.6%)

rewrite25.0ms (1.3%)

series17.0ms (0.9%)

simplify61.0ms (3.3%)

prune87.0ms (4.7%)

localize15.0ms (0.8%)

rewrite54.0ms (2.9%)

series31.0ms (1.7%)

simplify116.0ms (6.3%)

prune348.0ms (18.9%)

regimes29.0ms (1.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample647.0ms (35.1%)

Profiling