Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.2%)

Algorithm

1×

intervals

Results

5.0ms	65×	body	512	valid
4.0ms	152×	body	128	valid
1.0ms	30×	body	256	valid
1.0ms	9×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune6.0ms (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

Merged error: 12.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
2.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_760`
46×	`add-sqr-sqrt_binary64_782`
45×	`times-frac_binary64_766`
22×	`add-cube-cbrt_binary64_795`
13×	`cancel-sign-sub-inv_binary64_726`
10×	`distribute-lft-out--_binary64_712`
9×	`difference-of-squares_binary64_729`
7×	`distribute-lft-out_binary64_711`
6×	`add-exp-log_binary64_798` `div-inv_binary64_757`
4×	`associate-/r*_binary64_704` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`associate-/l*_binary64_705` `pow1_binary64_821`
2×	`associate-/r/_binary64_706` `div-exp_binary64_811`
1×	`diff-log_binary64_852` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `flip3-+_binary64_763` `inv-pow_binary64_845` `flip-+_binary64_734` `frac-sub_binary64_769` `rec-exp_binary64_810` `clear-num_binary64_759` `sub-neg_binary64_753` `1-exp_binary64_804` `flip--_binary64_735` `pow-flip_binary64_834` `flip3--_binary64_764`

Counts

2 → 81

Calls

2 calls:

20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
5.0ms	(/.f64 1 (+.f64 x 1))

series23.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
9.0ms	(/.f64 1 (+.f64 x 1))

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5223	1244

prune225.0ms (3.3%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	57	30	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	31	88

Merged error: 0.0b

Counts

88 → 31

Compiler

Compiled 1277 to 1061 computations (16.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.2b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`*-un-lft-identity_binary64_760` `add-sqr-sqrt_binary64_782`
6×	`add-cube-cbrt_binary64_795`
4×	`associate-r_binary64_700` `associate-*r/_binary64_702` `pow1_binary64_821`
3×	`associate-/l_binary64_705` `associate-l*_binary64_701` `times-frac_binary64_766`
2×	`cbrt-undiv_binary64_794` `prod-exp_binary64_809` `associate-/r/_binary64_706` `flip3-+_binary64_763` `add-log-exp_binary64_799` `flip-+_binary64_734` `cbrt-unprod_binary64_793` `div-exp_binary64_811`
1×	`unswap-sqr_binary64_728` `frac-2neg_binary64_771` `distribute-lft-out_binary64_711` `distribute-lft-in_binary64_709` `associate-/r_binary64_704` `div-inv_binary64_757` `distribute-rgt-in_binary64_710` `clear-num_binary64_759` `pow-prod-down_binary64_831` `-commutative_binary64_691`

Counts

2 → 46

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 1 x))
6.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

series39.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(*.f64 x (+.f64 1 x))
13.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5927	553

prune232.0ms (3.4%)

Pruning

48 alts after pruning (47 fresh and 1 done)

	Pruned	Kept	Total
New	30	22	52
Fresh	4	25	29
Picked	0	1	1
Done	1	0	1
Total	35	48	83

Merged error: 0b

Counts

83 → 48

Compiler

Compiled 1256 to 1018 computations (18.9% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_766`
78×	`*-un-lft-identity_binary64_760`
50×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
14×	`distribute-lft-out_binary64_711`
13×	`associate-/l*_binary64_705`
6×	`add-exp-log_binary64_798` `div-inv_binary64_757` `add-cbrt-cube_binary64_796`
4×	`associate-/r*_binary64_704`
3×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
2×	`associate-/r/_binary64_706`
1×	`frac-2neg_binary64_771` `flip3-+_binary64_763` `associate-/l/_binary64_707` `add-log-exp_binary64_799` `flip-+_binary64_734` `pow1_binary64_821` `clear-num_binary64_759`

Counts

1 → 86

Calls

1 calls:

8.0ms

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

series12.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4919	1866
1	4919	1866

prune348.0ms (5.1%)

Pruning

83 alts after pruning (81 fresh and 2 done)

	Pruned	Kept	Total
New	50	39	89
Fresh	4	42	46
Picked	0	1	1
Done	0	1	1
Total	54	83	137

Merged error: 0b

Counts

137 → 83

Compiler

Compiled 2584 to 2036 computations (21.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_766`
78×	`*-un-lft-identity_binary64_760`
50×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
14×	`distribute-lft-out_binary64_711`
13×	`associate-/l*_binary64_705`
6×	`add-exp-log_binary64_798` `div-inv_binary64_757` `add-cbrt-cube_binary64_796`
4×	`associate-/r*_binary64_704`
3×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
2×	`associate-/r/_binary64_706`
1×	`frac-2neg_binary64_771` `flip3-+_binary64_763` `associate-/l/_binary64_707` `add-log-exp_binary64_799` `flip-+_binary64_734` `pow1_binary64_821` `clear-num_binary64_759`

Counts

1 → 86

Calls

1 calls:

8.0ms

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

series12.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4919	1866
1	4919	1866

prune384.0ms (5.7%)

Pruning

102 alts after pruning (99 fresh and 3 done)

	Pruned	Kept	Total
New	49	40	89
Fresh	21	59	80
Picked	0	1	1
Done	0	2	2
Total	70	102	172

Merged error: 0b

Counts

172 → 102

Compiler

Compiled 1245 to 942 computations (24.3% saved)

regimes592.0ms (8.7%)

Compiler: Compiled 6029 to 5082 computations (15.7% saved)

bsearch653.0ms (9.6%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample3.7s (54.6%)

Algorithm

1×

intervals

Results

151.0ms	2017×	body	512	valid
123.0ms	4634×	body	128	valid
46.0ms	954×	body	256	valid
37.0ms	395×	body	1024	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 3166 to 2664 computations (15.9% saved)

Pareto

0.4413367979823866

Details

analyze4.0ms (0.1%)

sample16.0ms (0.2%)

simplify92.0ms (1.4%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite31.0ms (0.5%)

series23.0ms (0.3%)

simplify95.0ms (1.4%)

prune225.0ms (3.3%)

localize5.0ms (0.1%)

rewrite16.0ms (0.2%)

series39.0ms (0.6%)

simplify65.0ms (1%)

prune232.0ms (3.4%)

localize7.0ms (0.1%)

rewrite16.0ms (0.2%)

series12.0ms (0.2%)

simplify83.0ms (1.2%)

prune348.0ms (5.1%)

localize8.0ms (0.1%)

rewrite16.0ms (0.2%)

series12.0ms (0.2%)

simplify87.0ms (1.3%)

prune384.0ms (5.7%)

regimes592.0ms (8.7%)

bsearch653.0ms (9.6%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample3.7s (54.6%)

Profiling