Details

analyze374.0ms (4.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5348	82
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

Symmetry

Compiler

Compiled 30 to 26 computations (13.3% saved)

sample64.0ms (0.7%)

Algorithm

1×

intervals

Results

28.0ms	67×	body	1024	valid
10.0ms	135×	body	128	valid
7.0ms	31×	body	512	valid
4.0ms	5×	body	2048	valid
3.0ms	18×	body	256	valid
1.0ms	7×	body	128	invalid
0.0ms	3×	body	128	overflowed
0.0ms	1×	body	256	invalid

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5212	41

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.7b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
0.0b	(*.f64 (+.f64 1 eps) x)
0.0b	(*.f64 (-.f64 1 eps) x)
2.9b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite833.0ms (9.1%)

Algorithm

1×	rewrite-expression-head

Error

29.1b

Rules

81×	`frac-sub_binary64_769`
76×	`frac-times_binary64_770` `exp-neg_binary64_807`
57×	`neg-sub0_binary64_755` `exp-diff_binary64_808`
42×	`associate-*l/_binary64_703`
38×	`associate-*r/_binary64_702`
31×	`flip3-+_binary64_763` `flip-+_binary64_734`
29×	`flip3--_binary64_764` `flip--_binary64_735`
19×	`add-sqr-sqrt_binary64_782` `un-div-inv_binary64_758`
18×	`*-un-lft-identity_binary64_760`
15×	`associate-l_binary64_701`
10×	`pow1_binary64_821` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795`
9×	`add-exp-log_binary64_798` `associate-r_binary64_700`
6×	`add-log-exp_binary64_799`
3×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691` `distribute-lft-out_binary64_711`
2×	`difference-of-squares_binary64_729`
1×	`diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `distribute-lft-out--_binary64_712` `div-inv_binary64_757`

Counts

4 → 166

Calls

4 calls:

20.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
13.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
7.0ms	(*.f64 (-.f64 1 eps) x)
6.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 9853 to 7935 computations (19.5% saved)

series520.0ms (5.7%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

224.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
110.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
71.0ms	(*.f64 (-.f64 1 eps) x)
67.0ms	(*.f64 (+.f64 1 eps) x)

Compiler

Compiled 3023 to 2090 computations (30.9% saved)

simplify139.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4980	9233
1	4980	9233

prune515.0ms (5.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	204	2	206
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	205	2	207

Error

0.0b

Counts

207 → 2

Compiler

Compiled 8983 to 5869 computations (34.7% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`frac-times_binary64_770` `exp-neg_binary64_807` `associate-l_binary64_701`
3×	`pow1_binary64_821` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `neg-sub0_binary64_755` `exp-diff_binary64_808` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-r_binary64_700`
2×	`add-exp-log_binary64_798` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `un-div-inv_binary64_758` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `*-commutative_binary64_691`

Counts

1 → 28

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

Compiler

Compiled 514 to 346 computations (32.7% saved)

series51.0ms (0.6%)

Error

0.0b

Counts

1 → 8

Calls

1 calls:

42.0ms

(*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x)))

Compiler

Compiled 234 to 209 computations (10.7% saved)

simplify81.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4805	412
1	4805	412

prune32.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	35	3	38

Error

Counts

38 → 3

Compiler

Compiled 548 to 394 computations (28.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (exp.f64 x))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`*-un-lft-identity_binary64_760`
12×	`times-frac_binary64_766`
10×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
4×	`distribute-lft-out_binary64_711` `associate-/l*_binary64_705`
3×	`add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
2×	`add-exp-log_binary64_798` `associate-/l/_binary64_707`
1×	`pow1_binary64_821` `div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

1 → 33

Calls

1 calls:

6.0ms

(/.f64 (+.f64 1 x) (exp.f64 x))

Compiler

Compiled 589 to 398 computations (32.4% saved)

series59.0ms (0.6%)

Error

Counts

1 → 8

Calls

1 calls:

53.0ms

(/.f64 (+.f64 1 x) (exp.f64 x))

Compiler

Compiled 222 to 194 computations (12.6% saved)

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4917	595
1	4917	595

prune35.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Error

Counts

44 → 3

Compiler

Compiled 649 to 445 computations (31.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x)))
0.0b	(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))

rewrite479.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

360×	`times-frac_binary64_766`
286×	`*-un-lft-identity_binary64_760`
192×	`sqrt-prod_binary64_776`
190×	`add-sqr-sqrt_binary64_782`
188×	`add-cube-cbrt_binary64_795`
49×	`distribute-lft-out_binary64_711`
32×	`associate-/l*_binary64_705`
12×	`associate-/r*_binary64_704`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`div-inv_binary64_757`
8×	`sqrt-pow1_binary64_778`
6×	`pow1_binary64_821` `exp-prod_binary64_812`
4×	`div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794`
3×	`associate-/l/_binary64_707`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759` `pow1/2_binary64_840` `rem-sqrt-square_binary64_773`
1×	`flip3-+_binary64_763` `flip-+_binary64_734`

Counts

4 → 297

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
8.0ms	(/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x)))
2.0ms	(sqrt.f64 (exp.f64 x))
2.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 8460 to 4168 computations (50.7% saved)

series192.0ms (2.1%)

Error

Counts

4 → 28

Calls

4 calls:

67.0ms	(/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x)))
56.0ms	(/.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
25.0ms	(sqrt.f64 (exp.f64 x))
21.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 1048 to 845 computations (19.4% saved)

simplify157.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

325 → 325

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4927	8163
1	4927	8163

prune398.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	325	0	325
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	325	3	328

Error

Counts

328 → 3

Compiler

Compiled 7565 to 4114 computations (45.6% saved)

regimes747.0ms (8.1%)

Accuracy

Total 0.6b remaining (97.8%)

Threshold costs 0.6b (97.8%)

Compiler

Compiled 13132 to 11112 computations (15.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

Removed

()

end0.0ms (0%)

sample4.2s (45.9%)

Algorithm

1×

intervals

Results

839.0ms	2060×	body	1024	valid
332.0ms	4224×	body	128	valid
243.0ms	987×	body	512	valid
150.0ms	222×	body	2048	valid
77.0ms	507×	body	256	valid
16.0ms	195×	body	128	invalid
14.0ms	187×	body	128	overflowed
7.0ms	17×	body	1024	invalid
1.0ms	4×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 3250 to 2751 computations (15.4% saved)

Details

analyze374.0ms (4.1%)

sample64.0ms (0.7%)

simplify71.0ms (0.8%)

prune7.0ms (0.1%)

localize17.0ms (0.2%)

rewrite833.0ms (9.1%)

series520.0ms (5.7%)

simplify139.0ms (1.5%)

prune515.0ms (5.6%)

localize7.0ms (0.1%)

rewrite44.0ms (0.5%)

series51.0ms (0.6%)

simplify81.0ms (0.9%)

prune32.0ms (0.4%)

localize6.0ms (0.1%)

rewrite40.0ms (0.4%)

series59.0ms (0.6%)

simplify95.0ms (1%)

prune35.0ms (0.4%)

localize8.0ms (0.1%)

rewrite479.0ms (5.2%)

series192.0ms (2.1%)

simplify157.0ms (1.7%)

prune398.0ms (4.3%)

regimes747.0ms (8.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.2s (45.9%)

Profiling