Details

analyze375.0ms (7.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	56
1	34	56
0	3	3
1	3	3

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
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Symmetry

Compiler

Compiled 10 to 9 computations (10% saved)

sample48.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms	45×	body	1024	valid
10.0ms	158×	body	128	valid
7.0ms	39×	body	512	valid
2.0ms	14×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
0.1b	(*.f64 z (cos.f64 y))
0.1b	(*.f64 x (sin.f64 y))

rewrite59.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_6238`
7×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
6×	`associate-l_binary64_6157` `associate-r_binary64_6156`
5×	`add-log-exp_binary64_6255`
2×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `*-commutative_binary64_6147`
1×	`sum-log_binary64_6307` `flip3-+_binary64_6219` `flip-+_binary64_6190` `+-commutative_binary64_6146`

Counts

3 → 47

Calls

3 calls:

5.0ms	(*.f64 x (sin.f64 y))
4.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 730 to 175 computations (76% saved)

series351.0ms (6.8%)

Error

0.1b

Counts

3 → 32

Calls

3 calls:

201.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
68.0ms	(*.f64 x (sin.f64 y))
61.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 748 to 476 computations (36.4% saved)

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5105	852

prune64.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	71	8	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	8	80

Error

0.0b

Counts

80 → 8

Compiler

Compiled 1062 to 270 computations (74.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.2b	(cbrt.f64 (cos.f64 y))
0.2b	(cbrt.f64 (cos.f64 y))
0.2b	(cbrt.f64 (cos.f64 y))

rewrite86.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`add-exp-log_binary64_6254` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `unswap-sqr_binary64_6184`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series269.0ms (5.2%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

70.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
66.0ms	(cbrt.f64 (cos.f64 y))
60.0ms	(cbrt.f64 (cos.f64 y))
58.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 798 to 492 computations (38.3% saved)

simplify94.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4815	730
1	4815	730

prune80.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	89	7	96

Error

0.0b

Counts

96 → 7

Compiler

Compiled 1897 to 512 computations (73% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.2b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
0.2b	(cbrt.f64 (cos.f64 y))

rewrite87.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`cbrt-prod_binary64_6247`
11×	`add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `*-un-lft-identity_binary64_6216`
10×	`pow1_binary64_6277` `add-exp-log_binary64_6254`
6×	`add-cbrt-cube_binary64_6252` `unpow-prod-down_binary64_6295` `associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255`
3×	`pow-unpow_binary64_6293` `pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249`
2×	`pow1/3_binary64_6298` `unpow2_binary64_6281` `sqr-pow_binary64_6188`
1×	`pow-pow_binary64_6288` `pow-to-exp_binary64_6285` `pow-exp_binary64_6284` `associate-l_binary64_6157` `*-commutative_binary64_6147`

Counts

4 → 66

Calls

4 calls:

9.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1449 to 639 computations (55.9% saved)

series239.0ms (4.7%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

79.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
70.0ms	(cbrt.f64 (cos.f64 y))
63.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
17.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 676 to 475 computations (29.7% saved)

simplify82.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5017	675

prune69.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Error

0.0b

Counts

90 → 7

Compiler

Compiled 1489 to 556 computations (62.7% saved)

localize12.0ms (0.2%)

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)

rewrite73.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`add-exp-log_binary64_6254` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `unswap-sqr_binary64_6184`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

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 1524 to 318 computations (79.1% saved)

series334.0ms (6.5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

91.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
84.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)
73.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune63.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Error

0.0b

Counts

92 → 7

Compiler

Compiled 1573 to 371 computations (76.4% saved)

regimes327.0ms (6.4%)

Accuracy

Total 0.1b remaining (80.3%)

Threshold costs 0.1b (80.3%)

Compiler

Compiled 3168 to 2218 computations (30% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

Removed

()

end0.0ms (0%)

sample2.2s (43.1%)

Algorithm

1×

intervals

Results

544.0ms	1905×	body	1024	valid
319.0ms	4594×	body	128	valid
206.0ms	989×	body	512	valid
70.0ms	507×	body	256	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 805 to 566 computations (29.7% saved)

Details

analyze375.0ms (7.3%)

sample48.0ms (0.9%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite59.0ms (1.1%)

series351.0ms (6.8%)

simplify86.0ms (1.7%)

prune64.0ms (1.3%)

localize12.0ms (0.2%)

rewrite86.0ms (1.7%)

series269.0ms (5.2%)

simplify94.0ms (1.8%)

prune80.0ms (1.6%)

localize13.0ms (0.3%)

rewrite87.0ms (1.7%)

series239.0ms (4.7%)

simplify82.0ms (1.6%)

prune69.0ms (1.4%)

localize12.0ms (0.2%)

rewrite73.0ms (1.4%)

series334.0ms (6.5%)

simplify76.0ms (1.5%)

prune63.0ms (1.2%)

regimes327.0ms (6.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (43.1%)

Profiling