Details

analyze316.0ms (12.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample25.0ms (1%)

Algorithm

1×

intervals

Results

13.0ms	89×	body	1024	valid
3.0ms	36×	body	512	valid
3.0ms	104×	body	128	valid
1.0ms	22×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 15 to 12 computations (20% saved)

simplify94.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

prune2.0ms (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

Error

39.7b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.0b	(-.f64 (exp.f64 x) 1)

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_782`
30×	`*-un-lft-identity_binary64_760`
21×	`times-frac_binary64_766`
15×	`add-cube-cbrt_binary64_795`
10×	`difference-of-squares_binary64_729`
7×	`associate-/r*_binary64_704`
5×	`difference-of-sqr-1_binary64_730` `distribute-lft-out--_binary64_712`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`add-exp-log_binary64_798` `cancel-sign-sub-inv_binary64_726` `associate-/l*_binary64_705`
2×	`associate-/r/_binary64_706` `pow1_binary64_821` `flip--_binary64_735` `flip3--_binary64_764`
1×	`diff-log_binary64_852` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `div-exp_binary64_811` `clear-num_binary64_759` `sub-neg_binary64_753`

Counts

2 → 63

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)

series48.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

39.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
9.0ms	(-.f64 (exp.f64 x) 1)

simplify74.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4915	1129
1	4915	1129

prune69.0ms (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Error

0.0b

Counts

70 → 3

Compiler

Compiled 956 to 474 computations (50.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
0.3b	(*.f64 x 1/12)

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_799`
6×	`add-sqr-sqrt_binary64_782`
4×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`associate-r_binary64_700` `sum-log_binary64_851` `associate-l_binary64_701`
1×	`unswap-sqr_binary64_728` `prod-exp_binary64_809` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-+r+_binary64_692` `+-commutative_binary64_690` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

2 → 31

Calls

2 calls:

10.0ms	(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
4.0ms	(*.f64 x 1/12)

series22.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(*.f64 x 1/12)
9.0ms	(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))

simplify85.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4872	417
1	4872	417

prune30.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Error

0.0b

Counts

40 → 3

Compiler

Compiled 514 to 411 computations (20% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.1b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series43.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
11.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

simplify57.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5042	1052

prune51.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	67	4	71

Error

0.0b

Counts

71 → 4

Compiler

Compiled 893 to 571 computations (36.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 (neg.f64 x)))
0.0b	(sqrt.f64 (exp.f64 (neg.f64 x)))
0.0b	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 1 (sqrt.f64 (exp.f64 (neg.f64 x)))))
3.1b	(-.f64 1 (sqrt.f64 (exp.f64 (neg.f64 x))))

rewrite40.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_782`
33×	`*-un-lft-identity_binary64_760`
22×	`sqrt-prod_binary64_776` `sqrt-pow1_binary64_778`
20×	`exp-prod_binary64_812` `add-cube-cbrt_binary64_795`
18×	`cancel-sign-sub-inv_binary64_726`
9×	`associate-r_binary64_700`
8×	`difference-of-squares_binary64_729` `pow1_binary64_821`
7×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
6×	`distribute-lft-neg-in_binary64_717` `add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `distribute-rgt-neg-in_binary64_718`
5×	`associate-l_binary64_701`
4×	`sqrt-div_binary64_777` `distribute-lft-out--_binary64_712` `frac-times_binary64_770` `flip--_binary64_735` `flip3--_binary64_764`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `sub-neg_binary64_753`
2×	`neg-mul-1_binary64_756` `rem-sqrt-square_binary64_773` `associate-l/_binary64_703` `distribute-lft-out_binary64_711` `exp-diff_binary64_808` `neg-sub0_binary64_755` `exp-neg_binary64_807` `associate-r/_binary64_702` `pow1/2_binary64_840`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 121

Calls

4 calls:

16.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 1 (sqrt.f64 (exp.f64 (neg.f64 x)))))
6.0ms	(-.f64 1 (sqrt.f64 (exp.f64 (neg.f64 x))))
3.0ms	(sqrt.f64 (exp.f64 (neg.f64 x)))
3.0ms	(sqrt.f64 (exp.f64 (neg.f64 x)))

series94.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 1 (sqrt.f64 (exp.f64 (neg.f64 x)))))
19.0ms	(-.f64 1 (sqrt.f64 (exp.f64 (neg.f64 x))))
14.0ms	(sqrt.f64 (exp.f64 (neg.f64 x)))
13.0ms	(sqrt.f64 (exp.f64 (neg.f64 x)))

simplify98.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5006	2156

prune125.0ms (4.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	133	4	137

Error

0.0b

Counts

137 → 4

Compiler

Compiled 2686 to 1331 computations (50.4% saved)

regimes104.0ms (4.1%)

Accuracy

Total 1.0b remaining (98.9%)

Threshold costs 1.0b (98.9%)

Compiler

Compiled 983 to 692 computations (29.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	16	21

end0.0ms (0%)

sample1.1s (43.2%)

Algorithm

1×

intervals

Results

389.0ms	2698×	body	1024	valid
106.0ms	1286×	body	512	valid
82.0ms	3125×	body	128	valid
45.0ms	264×	body	2048	valid
33.0ms	627×	body	256	valid
0.0ms	2×	body	2048	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 280 to 203 computations (27.5% saved)

Details

analyze316.0ms (12.4%)

sample25.0ms (1%)

simplify94.0ms (3.7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite18.0ms (0.7%)

series48.0ms (1.9%)

simplify74.0ms (2.9%)

prune69.0ms (2.7%)

localize6.0ms (0.2%)

rewrite16.0ms (0.6%)

series22.0ms (0.8%)

simplify85.0ms (3.3%)

prune30.0ms (1.2%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series43.0ms (1.7%)

simplify57.0ms (2.2%)

prune51.0ms (2%)

localize10.0ms (0.4%)

rewrite40.0ms (1.6%)

series94.0ms (3.7%)

simplify98.0ms (3.8%)

prune125.0ms (4.9%)

regimes104.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (43.2%)

Profiling