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 (1.1%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify267.0ms (11%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4937	40
1	4937	40

prune7.0ms (0.3%)

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 116 to 94 computations (19% saved)

localize12.0ms (0.5%)

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))))

rewrite87.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`*-un-lft-identity_binary64_767`
74×	`times-frac_binary64_773`
70×	`distribute-lft-out_binary64_718`
58×	`add-sqr-sqrt_binary64_789`
48×	`associate-r_binary64_707` `add-cube-cbrt_binary64_802`
18×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803` `div-inv_binary64_764`
12×	`associate-/r*_binary64_711`
8×	`associate-/r/_binary64_713` `pow1_binary64_828`
6×	`associate-l_binary64_708` `associate-/l*_binary64_712`
4×	`unswap-sqr_binary64_735` `cbrt-undiv_binary64_801` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `add-log-exp_binary64_806` `flip-+_binary64_741` `flip3-+_binary64_770` `div-exp_binary64_818`
2×	`frac-2neg_binary64_778` `-commutative_binary64_698` `associate-r/_binary64_709` `pow-prod-down_binary64_838` `clear-num_binary64_766`

Counts

4 → 168

Calls

4 calls:

23.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
20.0ms	(*.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))))

series109.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
31.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
23.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
22.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

simplify65.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4922	3140
1	4922	3140

prune380.0ms (15.6%)

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 6304 to 4975 computations (21.1% saved)

localize17.0ms (0.7%)

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

rewrite87.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`*-un-lft-identity_binary64_767`
68×	`times-frac_binary64_773`
56×	`add-sqr-sqrt_binary64_789`
49×	`distribute-lft-out_binary64_718`
47×	`associate-r_binary64_707`
46×	`add-cube-cbrt_binary64_802`
18×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
12×	`associate-/r/_binary64_713`
11×	`associate-/r*_binary64_711` `div-inv_binary64_764`
8×	`pow1_binary64_828`
7×	`distribute-lft-out--_binary64_719`
6×	`associate-l_binary64_708` `associate-/l*_binary64_712`
4×	`unswap-sqr_binary64_735` `cbrt-undiv_binary64_801` `cbrt-unprod_binary64_800` `frac-add_binary64_775` `prod-exp_binary64_816` `add-log-exp_binary64_806` `flip-+_binary64_741` `flip3-+_binary64_770` `div-exp_binary64_818`
2×	`frac-2neg_binary64_778` `-commutative_binary64_698` `associate-r/_binary64_709` `flip--_binary64_742` `pow-prod-down_binary64_838` `clear-num_binary64_766` `flip3--_binary64_771`

Counts

4 → 165

Calls

4 calls:

24.0ms	(*.f64 t (/.f64 -4 (+.f64 (/.f64 -1 t) (-.f64 -2 t))))
18.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
13.0ms	(/.f64 -4 (+.f64 (/.f64 -1 t) (-.f64 -2 t)))
12.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series104.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 t (/.f64 -4 (+.f64 (/.f64 -1 t) (-.f64 -2 t))))
29.0ms	(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
23.0ms	(/.f64 -4 (+.f64 (/.f64 -1 t) (-.f64 -2 t)))
21.0ms	(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

simplify76.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5544	3214

prune368.0ms (15.1%)

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 6151 to 4837 computations (21.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	40
1	37	40

end0.0ms (0%)

sample822.0ms (33.8%)

Algorithm

1×

intervals

Results

638.0ms

8000×

body

128

valid

Compiler

Compiled 90 to 74 computations (17.8% saved)

Details

analyze6.0ms (0.2%)

sample26.0ms (1.1%)

simplify267.0ms (11%)

prune7.0ms (0.3%)

localize12.0ms (0.5%)

rewrite87.0ms (3.6%)

series109.0ms (4.5%)

simplify65.0ms (2.7%)

prune380.0ms (15.6%)

localize17.0ms (0.7%)

rewrite87.0ms (3.6%)

series104.0ms (4.3%)

simplify76.0ms (3.1%)

prune368.0ms (15.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample822.0ms (33.8%)

Profiling