Details

analyze129.0ms (0.9%)

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)

sample241.0ms (1.8%)

Algorithm

1×

intervals

Results

184.0ms	131×	body	2048	valid
30.0ms	66×	body	1024	valid
5.0ms	34×	body	512	valid
5.0ms	256×	pre	128	true
2.0ms	3×	body	4096	valid
1.0ms	14×	body	256	valid
0.0ms	8×	body	128	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	72	12
1	72	12

prune4.0ms (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

60.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (tan.f64 x))
2.2b	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite138.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

59.5b

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:

15.0ms	(-.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)

series193.0ms (1.4%)

Error

0.3b

Counts

2 → 11

Calls

2 calls:

114.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
71.0ms	(/.f64 1 (tan.f64 x))

Compiler

Compiled 268 to 195 computations (27.2% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5185	1101

prune72.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	1	86

Error

0.3b

Counts

86 → 1

Compiler

Compiled 1051 to 645 computations (38.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
0.1b	(*.f64 1/45 (pow.f64 x 3))
0.3b	(*.f64 1/3 x)

rewrite80.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

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

Counts

3 → 60

Calls

3 calls:

6.0ms	(*.f64 1/45 (pow.f64 x 3))
4.0ms	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
4.0ms	(*.f64 1/3 x)

Compiler

Compiled 933 to 733 computations (21.4% saved)

series180.0ms (1.3%)

Error

0.3b

Counts

3 → 12

Calls

3 calls:

110.0ms	(+.f64 (.f64 1/3 x) (.f64 1/45 (pow.f64 x 3)))
41.0ms	(*.f64 1/45 (pow.f64 x 3))
22.0ms	(*.f64 1/3 x)

Compiler

Compiled 269 to 231 computations (14.1% saved)

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5023	697

prune88.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Error

0.1b

Counts

73 → 6

Compiler

Compiled 996 to 770 computations (22.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
0.5b	(pow.f64 (cbrt.f64 x) 2)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite123.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

21×	`add-sqr-sqrt_binary64_782`
14×	`unpow-prod-down_binary64_839`
13×	`add-cube-cbrt_binary64_795` `cbrt-prod_binary64_791` `*-un-lft-identity_binary64_760`
11×	`associate-r_binary64_700`
10×	`add-exp-log_binary64_798`
6×	`add-cbrt-cube_binary64_796`
5×	`pow1_binary64_821` `unswap-sqr_binary64_728`
4×	`add-log-exp_binary64_799`
3×	`pow1/3_binary64_842` `pow-unpow_binary64_837` `unpow2_binary64_825` `sqr-pow_binary64_732` `prod-exp_binary64_809` `associate-l_binary64_701`
2×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 75

Calls

4 calls:

9.0ms	(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
3.0ms	(pow.f64 (cbrt.f64 x) 2)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1543 to 1011 computations (34.5% saved)

series391.0ms (2.9%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

110.0ms	(*.f64 1/3 (pow.f64 (cbrt.f64 x) 2))
94.0ms	(pow.f64 (cbrt.f64 x) 2)
89.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)

Compiler

Compiled 636 to 542 computations (14.8% saved)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5106	665

prune126.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	81	12	93

Error

0.1b

Counts

93 → 12

Compiler

Compiled 1760 to 1215 computations (31% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite72.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`cbrt-prod_binary64_791`
9×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`add-cbrt-cube_binary64_796` `associate-r_binary64_700`
4×	`add-log-exp_binary64_799`
3×	`pow1/3_binary64_842` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
1×	`associate-l_binary64_701` `*-commutative_binary64_691`

Counts

4 → 54

Calls

4 calls:

6.0ms	(.f64 (.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1112 to 594 computations (46.6% saved)

series366.0ms (2.7%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

123.0ms	(.f64 (.f64 1/3 (cbrt.f64 x)) (cbrt.f64 x))
83.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 515 computations (22.3% saved)

simplify115.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5077	470

prune89.0ms (0.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	65	13	78

Error

0.1b

Counts

78 → 13

Compiler

Compiled 1223 to 721 computations (41% saved)

regimes298.0ms (2.2%)

Accuracy

Total 0.3b remaining (71.3%)

Threshold costs 0.3b (71.3%)

Compiler

Compiled 2970 to 2258 computations (24% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample10.7s (77.9%)

Algorithm

1×

intervals

Results

6.8s	4040×	body	2048	valid
1.1s	2011×	body	1024	valid
173.0ms	8000×	pre	128	true
163.0ms	995×	body	512	valid
144.0ms	220×	body	4096	valid
52.0ms	514×	body	256	valid
12.0ms	220×	body	128	valid

Compiler

Compiled 1479 to 1125 computations (23.9% saved)

Details

analyze129.0ms (0.9%)

sample241.0ms (1.8%)

simplify11.0ms (0.1%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite138.0ms (1%)

series193.0ms (1.4%)

simplify81.0ms (0.6%)

prune72.0ms (0.5%)

localize8.0ms (0.1%)

rewrite80.0ms (0.6%)

series180.0ms (1.3%)

simplify96.0ms (0.7%)

prune88.0ms (0.6%)

localize10.0ms (0.1%)

rewrite123.0ms (0.9%)

series391.0ms (2.9%)

simplify83.0ms (0.6%)

prune126.0ms (0.9%)

localize11.0ms (0.1%)

rewrite72.0ms (0.5%)

series366.0ms (2.7%)

simplify115.0ms (0.8%)

prune89.0ms (0.7%)

regimes298.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample10.7s (77.9%)

Profiling