Details

analyze101.0ms (0.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample183.0ms (1.5%)

Algorithm

1×

intervals

Results

127.0ms	122×	body	2048	valid
27.0ms	65×	body	1024	valid
5.0ms	10×	body	4096	valid
5.0ms	38×	body	512	valid
4.0ms	256×	pre	128	true
1.0ms	11×	body	256	valid
0.0ms	10×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

prune2.0ms (0%)

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

59.7b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
2.6b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite110.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

59.3b

Rules

43×	`add-sqr-sqrt_binary64_782`
36×	`times-frac_binary64_766`
35×	`*-un-lft-identity_binary64_760`
19×	`add-cube-cbrt_binary64_795`
14×	`cancel-sign-sub-inv_binary64_726`
9×	`difference-of-squares_binary64_729`
7×	`distribute-lft-out--_binary64_712`
6×	`add-exp-log_binary64_798` `div-inv_binary64_757`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
3×	`pow1_binary64_821` `associate-/l_binary64_705` `associate-/r_binary64_704`
2×	`tan-quot_binary64_919` `associate-/r/_binary64_706` `div-exp_binary64_811`
1×	`diff-log_binary64_852` `frac-sub_binary64_769` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `inv-pow_binary64_845` `pow-flip_binary64_834` `1-exp_binary64_804` `rec-exp_binary64_810` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

2 → 74

Calls

2 calls:

17.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
4.0ms	(/.f64 1 (tan.f64 x))

Compiler

Compiled 1177 to 769 computations (34.7% saved)

series174.0ms (1.4%)

Error

0.4b

Counts

2 → 13

Calls

2 calls:

101.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
62.0ms	(/.f64 1 (tan.f64 x))

Compiler

Compiled 327 to 243 computations (25.7% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4945	1172
1	4945	1172

prune65.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	1	88

Error

0.4b

Counts

88 → 1

Compiler

Compiled 1107 to 692 computations (37.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/3 x) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
0.1b	(*.f64 2/945 (pow.f64 x 5))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.4b	(*.f64 1/3 x)

rewrite147.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

27×	`add-sqr-sqrt_binary64_782`
22×	`associate-r_binary64_700`
16×	`add-exp-log_binary64_798`
13×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
10×	`add-cbrt-cube_binary64_796`
9×	`add-log-exp_binary64_799` `associate-l_binary64_701`
8×	`unswap-sqr_binary64_728` `unpow-prod-down_binary64_839`
7×	`prod-exp_binary64_809`
6×	`pow1_binary64_821`
4×	`cube-prod_binary64_788` `sqr-pow_binary64_732`
3×	`cbrt-unprod_binary64_793` `*-commutative_binary64_691` `sum-log_binary64_851`
2×	`pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`pow-prod-down_binary64_831` `unpow3_binary64_826` `cube-mult_binary64_790` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-+r+_binary64_692` `+-commutative_binary64_690`

Counts

4 → 87

Calls

4 calls:

8.0ms	(+.f64 (.f64 1/3 x) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
7.0ms	(*.f64 1/45 (pow.f64 x 3))
6.0ms	(*.f64 2/945 (pow.f64 x 5))
4.0ms	(*.f64 1/3 x)

Compiler

Compiled 1919 to 1541 computations (19.7% saved)

series160.0ms (1.3%)

Error

0.4b

Counts

4 → 14

Calls

4 calls:

50.0ms	(+.f64 (.f64 1/3 x) (+.f64 (.f64 1/45 (pow.f64 x 3)) (*.f64 2/945 (pow.f64 x 5))))
45.0ms	(*.f64 2/945 (pow.f64 x 5))
35.0ms	(*.f64 1/45 (pow.f64 x 3))
20.0ms	(*.f64 1/3 x)

Compiler

Compiled 516 to 439 computations (14.9% saved)

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4963	1169
1	4963	1169

prune127.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	8	102

Error

0.1b

Counts

102 → 8

Compiler

Compiled 2118 to 1691 computations (20.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite115.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

25×	`cbrt-prod_binary64_791`
23×	`add-sqr-sqrt_binary64_782`
15×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842`
6×	`add-exp-log_binary64_798` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `unswap-sqr_binary64_728`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1962 to 1108 computations (43.5% saved)

series337.0ms (2.7%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
83.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)
74.0ms	(cbrt.f64 x)

Compiler

Compiled 879 to 693 computations (21.2% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune123.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	82	11	93

Error

0.1b

Counts

93 → 11

Compiler

Compiled 2330 to 1510 computations (35.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
0.6b	(cbrt.f64 (*.f64 1/3 x))
0.6b	(cbrt.f64 (*.f64 1/3 x))
0.6b	(cbrt.f64 (*.f64 1/3 x))

rewrite116.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`pow1_binary64_821`
10×	`add-sqr-sqrt_binary64_782`
9×	`pow1/3_binary64_842`
8×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
7×	`cbrt-prod_binary64_791`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
2.0ms	(cbrt.f64 (*.f64 1/3 x))
2.0ms	(cbrt.f64 (*.f64 1/3 x))
2.0ms	(cbrt.f64 (*.f64 1/3 x))

Compiler

Compiled 1795 to 1467 computations (18.3% saved)

series406.0ms (3.3%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

111.0ms	(.f64 (cbrt.f64 (.f64 1/3 x)) (cbrt.f64 (*.f64 1/3 x)))
98.0ms	(cbrt.f64 (*.f64 1/3 x))
90.0ms	(cbrt.f64 (*.f64 1/3 x))
87.0ms	(cbrt.f64 (*.f64 1/3 x))

Compiler

Compiled 1017 to 871 computations (14.4% saved)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5115	556

prune108.0ms (0.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	68	13	81

Error

0.1b

Counts

81 → 13

Compiler

Compiled 1917 to 1556 computations (18.8% saved)

regimes351.0ms (2.9%)

Accuracy

Total 0.3b remaining (78.4%)

Threshold costs 0.3b (78.4%)

Compiler

Compiled 4468 to 3441 computations (23% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms (0%)

sample9.3s (75.9%)

Algorithm

1×

intervals

Results

5.7s	4075×	body	2048	valid
690.0ms	2001×	body	1024	valid
139.0ms	8000×	pre	128	true
135.0ms	992×	body	512	valid
112.0ms	209×	body	4096	valid
41.0ms	476×	body	256	valid
11.0ms	247×	body	128	valid

Compiler

Compiled 2229 to 1717 computations (23% saved)

Details

analyze101.0ms (0.8%)

sample183.0ms (1.5%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite110.0ms (0.9%)

series174.0ms (1.4%)

simplify79.0ms (0.6%)

prune65.0ms (0.5%)

localize10.0ms (0.1%)

rewrite147.0ms (1.2%)

series160.0ms (1.3%)

simplify69.0ms (0.6%)

prune127.0ms (1%)

localize16.0ms (0.1%)

rewrite115.0ms (0.9%)

series337.0ms (2.7%)

simplify74.0ms (0.6%)

prune123.0ms (1%)

localize15.0ms (0.1%)

rewrite116.0ms (0.9%)

series406.0ms (3.3%)

simplify64.0ms (0.5%)

prune108.0ms (0.9%)

regimes351.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample9.3s (75.9%)

Profiling