Details

analyze542.0ms (5.4%)

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)

sample38.0ms (0.4%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 103 to 90 computations (12.6% saved)

simplify150.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5107	46

prune6.0ms (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 → 2

Compiler

Compiled 113 to 100 computations (11.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite202.0ms (2%)

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:

35.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
35.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
31.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
31.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series55.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
14.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5172	9088

prune2.3s (23%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	354	2	356
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	355	3	358

Merged error: 0.0b

Counts

358 → 3

Compiler

Compiled 20990 to 17382 computations (17.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
21.2b	(+.f64 2 (/.f64 (/.f64 -2 (.f64 (+.f64 1 (/.f64 1 t)) (cbrt.f64 t))) (.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite163.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

339×	`times-frac_binary64_766`
276×	`*-un-lft-identity_binary64_760`
213×	`cancel-sign-sub-inv_binary64_726`
178×	`add-sqr-sqrt_binary64_782`
151×	`add-cube-cbrt_binary64_795`
79×	`distribute-lft-out_binary64_711`
57×	`div-inv_binary64_757`
12×	`add-log-exp_binary64_799`
9×	`difference-of-squares_binary64_729`
6×	`associate-/r/_binary64_706`
4×	`flip3-+_binary64_763` `add-exp-log_binary64_798` `flip-+_binary64_734` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`diff-log_binary64_852` `distribute-lft-out--_binary64_712` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`
1×	`+-commutative_binary64_690` `sum-log_binary64_851`

Counts

4 → 270

Calls

4 calls:

34.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
31.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
31.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
10.0ms	(+.f64 2 (/.f64 (/.f64 -2 (.f64 (+.f64 1 (/.f64 1 t)) (cbrt.f64 t))) (.f64 (cbrt.f64 t) (cbrt.f64 t))))

series66.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(+.f64 2 (/.f64 (/.f64 -2 (.f64 (+.f64 1 (/.f64 1 t)) (cbrt.f64 t))) (.f64 (cbrt.f64 t) (cbrt.f64 t))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4948	6821
1	4948	6821

prune1.6s (15.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	282	0	282
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	282	3	285

Merged error: 0.0b

Counts

285 → 3

Compiler

Compiled 18289 to 13946 computations (23.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.9b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite195.0ms (1.9%)

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:

35.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
34.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
32.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
31.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series60.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5172	9088

prune2.1s (21%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	356	0	356
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	356	3	359

Merged error: 0.0b

Counts

359 → 3

Compiler

Compiled 21591 to 18001 computations (16.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
0.0b	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
0.0b	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))

rewrite72.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_760`
36×	`associate-l_binary64_701`
32×	`add-sqr-sqrt_binary64_782`
26×	`times-frac_binary64_766`
22×	`add-cube-cbrt_binary64_795`
14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`distribute-lft-out_binary64_711`
8×	`flip3-+_binary64_763` `add-log-exp_binary64_799` `flip-+_binary64_734` `associate-r_binary64_700` `pow1_binary64_821`
4×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `associate-/r/_binary64_706` `frac-times_binary64_770` `associate-*r/_binary64_702` `cbrt-unprod_binary64_793`
2×	`cbrt-undiv_binary64_794` `associate-l/_binary64_703` `distribute-lft-in_binary64_709` `div-inv_binary64_757` `distribute-rgt-in_binary64_710` `+-commutative_binary64_690` `sum-log_binary64_851` `div-exp_binary64_811` `pow-prod-down_binary64_831` `-commutative_binary64_691`

Counts

4 → 112

Calls

4 calls:

20.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
20.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
11.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
10.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

series62.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
19.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
10.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
9.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4891	2390
1	4891	2390

prune271.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	3	127

Merged error: 0.0b

Counts

127 → 3

Compiler

Compiled 4642 to 4021 computations (13.4% saved)

regimes168.0ms (1.7%)

Compiler: Compiled 2690 to 2326 computations (13.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	80
1	44	80

end0.0ms (0%)

sample1.5s (15.3%)

Algorithm

1×

intervals

Results

976.0ms

8000×

body

128

valid

Compiler

Compiled 605 to 524 computations (13.4% saved)

Details

analyze542.0ms (5.4%)

sample38.0ms (0.4%)

simplify150.0ms (1.5%)

prune6.0ms (0.1%)

localize12.0ms (0.1%)

rewrite202.0ms (2%)

series55.0ms (0.5%)

simplify108.0ms (1.1%)

prune2.3s (23%)

localize20.0ms (0.2%)

rewrite163.0ms (1.6%)

series66.0ms (0.7%)

simplify111.0ms (1.1%)

prune1.6s (15.5%)

localize15.0ms (0.2%)

rewrite195.0ms (1.9%)

series60.0ms (0.6%)

simplify109.0ms (1.1%)

prune2.1s (21%)

localize12.0ms (0.1%)

rewrite72.0ms (0.7%)

series62.0ms (0.6%)

simplify89.0ms (0.9%)

prune271.0ms (2.7%)

regimes168.0ms (1.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (15.3%)

Profiling