Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 36 to 29 computations (19.4% saved)

sample26.0ms (0.9%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify267.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4937	40
1	4937	40

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 54 to 44 computations (18.5% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.3b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.3b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

rewrite88.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`*-un-lft-identity_binary64_751`
74×	`times-frac_binary64_757`
70×	`distribute-lft-out_binary64_704`
58×	`add-sqr-sqrt_binary64_772`
48×	`add-cube-cbrt_binary64_783` `associate-r_binary64_693`
18×	`add-cbrt-cube_binary64_784` `div-inv_binary64_748` `add-exp-log_binary64_786`
12×	`associate-/r*_binary64_697`
8×	`pow1_binary64_809` `associate-/r/_binary64_699`
6×	`associate-l_binary64_694` `associate-/l*_binary64_698`
4×	`prod-exp_binary64_797` `unswap-sqr_binary64_719` `flip3-+_binary64_754` `add-log-exp_binary64_787` `cbrt-undiv_binary64_782` `cbrt-unprod_binary64_781` `flip-+_binary64_725` `div-exp_binary64_799`
2×	`pow-prod-down_binary64_819` `-commutative_binary64_684` `associate-r/_binary64_695` `frac-2neg_binary64_762` `clear-num_binary64_750`

Counts

4 → 168

Calls

4 calls:

22.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
19.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
12.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
12.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series118.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
33.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
26.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
22.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

simplify73.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4923	3140
1	4923	3140

prune592.0ms (21.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	180	1	181

Merged error: 0b

Counts

181 → 1

Compiler

Compiled 6163 to 4859 computations (21.2% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 t (/.f64 -4 (+.f64 (-.f64 -2 t) (/.f64 -1 t))))
0.1b	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.3b	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.3b	(/.f64 -4 (+.f64 (-.f64 -2 t) (/.f64 -1 t)))

rewrite87.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`*-un-lft-identity_binary64_751`
68×	`times-frac_binary64_757`
56×	`add-sqr-sqrt_binary64_772`
49×	`distribute-lft-out_binary64_704`
47×	`associate-r_binary64_693`
46×	`add-cube-cbrt_binary64_783`
18×	`add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
12×	`associate-/r/_binary64_699`
11×	`associate-/r*_binary64_697` `div-inv_binary64_748`
8×	`pow1_binary64_809`
7×	`distribute-lft-out--_binary64_705`
6×	`associate-l_binary64_694` `associate-/l*_binary64_698`
4×	`prod-exp_binary64_797` `unswap-sqr_binary64_719` `flip3-+_binary64_754` `add-log-exp_binary64_787` `cbrt-undiv_binary64_782` `cbrt-unprod_binary64_781` `frac-add_binary64_759` `flip-+_binary64_725` `div-exp_binary64_799`
2×	`flip--_binary64_726` `pow-prod-down_binary64_819` `-commutative_binary64_684` `associate-r/_binary64_695` `frac-2neg_binary64_762` `clear-num_binary64_750` `flip3--_binary64_755`

Counts

4 → 165

Calls

4 calls:

21.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
20.0ms	(*.f64 t (/.f64 -4 (+.f64 (-.f64 -2 t) (/.f64 -1 t))))
13.0ms	(/.f64 -4 (+.f64 (-.f64 -2 t) (/.f64 -1 t)))
12.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series109.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(*.f64 t (/.f64 -4 (+.f64 (-.f64 -2 t) (/.f64 -1 t))))
30.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
24.0ms	(/.f64 -4 (+.f64 (-.f64 -2 t) (/.f64 -1 t)))
21.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

simplify71.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4910	3220
1	4910	3220

prune369.0ms (13.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	177	1	178

Merged error: 0b

Counts

178 → 1

Compiler

Compiled 6128 to 4817 computations (21.4% saved)

regimes62.0ms (2.2%)

Compiler: Compiled 592 to 482 computations (18.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	40
1	37	40

end0.0ms (0%)

sample879.0ms (31.6%)

Algorithm

1×

intervals

Results

628.0ms

8000×

body

128

valid

Compiler

Compiled 182 to 149 computations (18.1% saved)

Details

analyze6.0ms (0.2%)

sample26.0ms (0.9%)

simplify267.0ms (9.6%)

prune4.0ms (0.1%)

localize11.0ms (0.4%)

rewrite88.0ms (3.1%)

series118.0ms (4.3%)

simplify73.0ms (2.6%)

prune592.0ms (21.3%)

localize16.0ms (0.6%)

rewrite87.0ms (3.1%)

series109.0ms (3.9%)

simplify71.0ms (2.6%)

prune369.0ms (13.3%)

regimes62.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample879.0ms (31.6%)

Profiling