Details

analyze357.0ms (7.3%)

Algorithm

1×

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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample43.0ms (0.9%)

Algorithm

1×

intervals

Results

17.0ms	48×	body	1024	valid
12.0ms	178×	body	128	valid
5.0ms	24×	body	512	valid
1.0ms	6×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify167.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	20	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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_6637` `*-un-lft-identity_binary64_6615`
4×	`pow1_binary64_6676` `add-cube-cbrt_binary64_6650` `add-log-exp_binary64_6654` `add-cbrt-cube_binary64_6651` `add-exp-log_binary64_6653`
3×	`associate-r_binary64_6555` `associate-l_binary64_6556`
1×	`prod-exp_binary64_6664` `unswap-sqr_binary64_6583` `pow-prod-down_binary64_6686` `distribute-lft-out_binary64_6566` `flip-+_binary64_6589` `sum-log_binary64_6706` `flip3-+_binary64_6618` `*-commutative_binary64_6546` `+-commutative_binary64_6545` `cbrt-unprod_binary64_6648`

Counts

2 → 30

Calls

2 calls:

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

series91.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(*.f64 z (cos.f64 y))
38.0ms	(+.f64 x (sin.f64 y))

simplify106.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4884	315
1	4884	315

prune97.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	7	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	8	37

Merged error: 0.0b

Counts

37 → 8

Compiler

Compiled 1497 to 807 computations (46.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6646`
23×	`add-sqr-sqrt_binary64_6637`
15×	`add-cube-cbrt_binary64_6650` `*-un-lft-identity_binary64_6615`
11×	`pow1_binary64_6676`
9×	`pow1/3_binary64_6697`
6×	`associate-r_binary64_6555` `add-exp-log_binary64_6653` `swap-sqr_binary64_6582` `associate-l_binary64_6556`
4×	`unswap-sqr_binary64_6583` `add-log-exp_binary64_6654` `add-cbrt-cube_binary64_6651`
2×	`pow-prod-up_binary64_6685` `pow-prod-down_binary64_6686` `pow-sqr_binary64_6588`
1×	`prod-exp_binary64_6664` `*-commutative_binary64_6546` `pow-plus_binary64_6678` `cbrt-unprod_binary64_6648` `pow2_binary64_6696`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series537.0ms (11%)

Counts

4 → 12

Calls

4 calls:

188.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
119.0ms	(cbrt.f64 (cos.f64 y))
118.0ms	(cbrt.f64 (cos.f64 y))
112.0ms	(cbrt.f64 (cos.f64 y))

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4955	772
1	4955	772

prune144.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

Compiler

Compiled 2730 to 1119 computations (59% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))))
0.4b	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`cbrt-prod_binary64_6646`
11×	`add-cube-cbrt_binary64_6650` `add-sqr-sqrt_binary64_6637` `*-un-lft-identity_binary64_6615`
9×	`unpow-prod-down_binary64_6694`
5×	`pow1_binary64_6676` `add-exp-log_binary64_6653`
4×	`add-log-exp_binary64_6654` `add-cbrt-cube_binary64_6651` `pow1/3_binary64_6697`
3×	`pow-unpow_binary64_6692`
2×	`pow-pow_binary64_6687`
1×	`pow-to-exp_binary64_6684` `pow-exp_binary64_6683` `sqr-pow_binary64_6587`

Counts

4 → 58

Calls

4 calls:

5.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)
2.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))

series576.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)
168.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y))))
126.0ms	(cbrt.f64 (cos.f64 y))
108.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))

simplify81.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4905	798
1	4905	798

prune100.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

Compiler

Compiled 2344 to 848 computations (63.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6646`
23×	`add-sqr-sqrt_binary64_6637`
15×	`add-cube-cbrt_binary64_6650` `*-un-lft-identity_binary64_6615`
11×	`pow1_binary64_6676`
9×	`pow1/3_binary64_6697`
6×	`associate-r_binary64_6555` `add-exp-log_binary64_6653` `swap-sqr_binary64_6582` `associate-l_binary64_6556`
4×	`unswap-sqr_binary64_6583` `add-log-exp_binary64_6654` `add-cbrt-cube_binary64_6651`
2×	`pow-prod-up_binary64_6685` `pow-prod-down_binary64_6686` `pow-sqr_binary64_6588`
1×	`prod-exp_binary64_6664` `*-commutative_binary64_6546` `pow-plus_binary64_6678` `cbrt-unprod_binary64_6648` `pow2_binary64_6696`

Counts

4 → 73

Calls

4 calls:

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

series669.0ms (13.8%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
165.0ms	(cbrt.f64 z)
163.0ms	(cbrt.f64 z)
158.0ms	(cbrt.f64 z)

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5245	563

prune89.0ms (1.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

Compiler

Compiled 1924 to 632 computations (67.2% saved)

regimes84.0ms (1.7%)

Compiler: Compiled 644 to 462 computations (28.3% 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

end0.0ms (0%)

sample1.5s (30.1%)

Algorithm

1×

intervals

Results

462.0ms	1264×	body	1024	valid
381.0ms	5689×	body	128	valid
157.0ms	685×	body	512	valid
52.0ms	355×	body	256	valid
6.0ms	7×	body	2048	valid

Compiler

Compiled 174 to 127 computations (27% saved)

Details

analyze357.0ms (7.3%)

sample43.0ms (0.9%)

simplify167.0ms (3.4%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite10.0ms (0.2%)

series91.0ms (1.9%)

simplify106.0ms (2.2%)

prune97.0ms (2%)

localize13.0ms (0.3%)

rewrite20.0ms (0.4%)

series537.0ms (11%)

simplify80.0ms (1.6%)

prune144.0ms (3%)

localize19.0ms (0.4%)

rewrite18.0ms (0.4%)

series576.0ms (11.8%)

simplify81.0ms (1.7%)

prune100.0ms (2.1%)

localize13.0ms (0.3%)

rewrite16.0ms (0.3%)

series669.0ms (13.8%)

simplify55.0ms (1.1%)

prune89.0ms (1.8%)

regimes84.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (30.1%)

Profiling