Details

analyze747.0ms (10.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 52 to 45 computations (13.5% saved)

sample45.0ms (0.6%)

Algorithm

1×

intervals

Results

34.0ms

256×

body

128

valid

Compiler

Compiled 103 to 90 computations (12.6% saved)

simplify320.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5298	40

prune12.0ms (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 → 2

Compiler

Compiled 105 to 92 computations (12.4% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
2.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite285.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

452×	`times-frac_binary64_766`
364×	`*-un-lft-identity_binary64_760`
284×	`cancel-sign-sub-inv_binary64_726`
236×	`add-sqr-sqrt_binary64_782`
200×	`add-cube-cbrt_binary64_795`
104×	`distribute-lft-out_binary64_711`
76×	`div-inv_binary64_757`
12×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729`
8×	`associate-/r/_binary64_706`
4×	`diff-log_binary64_852` `flip3-+_binary64_763` `add-exp-log_binary64_798` `flip-+_binary64_734` `add-cbrt-cube_binary64_796` `distribute-lft-out--_binary64_712` `pow1_binary64_821` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 344

Calls

4 calls:

48.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
47.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
45.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
39.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series121.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
30.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
28.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
26.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify158.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5139	9088

prune3.0s (42.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	356	2	358

Merged error: 0.0b

Counts

358 → 2

Compiler

Compiled 20875 to 17285 computations (17.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 4 (+.f64 1 t))
0.0b	(/.f64 4 (+.f64 1 t))
0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_760`
24×	`times-frac_binary64_766`
22×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
10×	`distribute-lft-out_binary64_711`
8×	`add-exp-log_binary64_798` `associate-/r*_binary64_704` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
6×	`associate-/l*_binary64_705`
4×	`associate-/r/_binary64_706` `flip3-+_binary64_763` `flip-+_binary64_734` `pow1_binary64_821`
2×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `+-commutative_binary64_690` `sum-log_binary64_851` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

4 → 90

Calls

4 calls:

13.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
13.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
6.0ms	(/.f64 4 (+.f64 1 t))
6.0ms	(/.f64 4 (+.f64 1 t))

series119.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
32.0ms	(/.f64 4 (+.f64 1 t))
32.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
19.0ms	(/.f64 4 (+.f64 1 t))

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4819	1338
1	4819	1338

prune324.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Merged error: 0.0b

Counts

104 → 2

Compiler

Compiled 3324 to 2836 computations (14.7% saved)

regimes92.0ms (1.3%)

Compiler: Compiled 730 to 641 computations (12.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	76
1	40	76

end0.0ms (0%)

sample1.6s (22.7%)

Algorithm

1×

intervals

Results

1.3s

8000×

body

128

valid

Compiler

Compiled 211 to 185 computations (12.3% saved)

Details

analyze747.0ms (10.6%)

sample45.0ms (0.6%)

simplify320.0ms (4.6%)

prune12.0ms (0.2%)

localize23.0ms (0.3%)

rewrite285.0ms (4.1%)

series121.0ms (1.7%)

simplify158.0ms (2.3%)

prune3.0s (42.8%)

localize13.0ms (0.2%)

rewrite49.0ms (0.7%)

series119.0ms (1.7%)

simplify108.0ms (1.5%)

prune324.0ms (4.6%)

regimes92.0ms (1.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (22.7%)

Profiling