Details

analyze360.0ms (6%)

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample46.0ms (0.8%)

Algorithm

1×

intervals

Results

17.0ms	61×	body	1024	valid
10.0ms	140×	body	128	valid
7.0ms	39×	body	512	valid
2.0ms	16×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify135.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune3.0ms (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)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_3851`
7×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `*-un-lft-identity_binary64_3829`
6×	`associate-r_binary64_3769` `associate-l_binary64_3770`
5×	`add-log-exp_binary64_3868`
2×	`pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `prod-exp_binary64_3878` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `flip-+_binary64_3803` `+-commutative_binary64_3759`

Counts

3 → 47

Calls

3 calls:

9.0ms	(*.f64 z (sin.f64 y))
8.0ms	(*.f64 x (cos.f64 y))
8.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

series164.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

81.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
49.0ms	(*.f64 z (sin.f64 y))
34.0ms	(*.f64 x (cos.f64 y))

simplify104.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5082	619

prune108.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Error

0.0b

Counts

57 → 11

Compiler

Compiled 930 to 272 computations (70.8% saved)

localize23.0ms (0.4%)

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))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 73

Calls

4 calls:

13.0ms	(*.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))
2.0ms	(cbrt.f64 (cos.f64 y))

series394.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
87.0ms	(cbrt.f64 (cos.f64 y))
83.0ms	(cbrt.f64 (cos.f64 y))
76.0ms	(cbrt.f64 (cos.f64 y))

simplify128.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4921	772
1	4921	772

prune103.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	86	10	96

Error

0.0b

Counts

96 → 10

Compiler

Compiled 1945 to 561 computations (71.2% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.2b	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_3867`
13×	`add-sqr-sqrt_binary64_3851`
12×	`prod-exp_binary64_3878`
11×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
10×	`add-cbrt-cube_binary64_3865`
9×	`pow1_binary64_3890` `associate-r_binary64_3769`
6×	`cbrt-prod_binary64_3860` `cbrt-unprod_binary64_3862`
5×	`pow-exp_binary64_3897`
4×	`add-log-exp_binary64_3868` `associate-l_binary64_3770`
3×	`unpow-prod-down_binary64_3908` `pow-unpow_binary64_3906` `pow-to-exp_binary64_3898`
2×	`pow-prod-down_binary64_3900` `*-commutative_binary64_3760`
1×	`unswap-sqr_binary64_3797` `unpow2_binary64_3894` `pow-pow_binary64_3901` `unpow1/3_binary64_3896` `sqr-pow_binary64_3801` `pow1/3_binary64_3911`

Counts

4 → 72

Calls

4 calls:

20.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms	(pow.f64 (cos.f64 y) 2)
4.0ms	(*.f64 z (sin.f64 y))
3.0ms	(cbrt.f64 (cos.f64 y))

series189.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 (cos.f64 y))
57.0ms	(*.f64 z (sin.f64 y))
34.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
16.0ms	(pow.f64 (cos.f64 y) 2)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4951	705
1	4951	705

prune110.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Error

0.0b

Counts

94 → 10

Compiler

Compiled 1681 to 708 computations (57.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

series435.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
105.0ms	(cbrt.f64 (sin.f64 y))
101.0ms	(cbrt.f64 (sin.f64 y))
77.0ms	(cbrt.f64 (sin.f64 y))

simplify119.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4888	797
1	4888	797

prune97.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	85	10	95

Error

0.0b

Counts

95 → 10

Compiler

Compiled 1782 to 460 computations (74.2% saved)

regimes315.0ms (5.2%)

Accuracy

Total 0.1b remaining (81.7%)

Threshold costs 0.1b (81.7%)

Compiler

Compiled 2360 to 1646 computations (30.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample2.9s (48.7%)

Algorithm

1×

intervals

Results

887.0ms	1999×	body	1024	valid
487.0ms	4487×	body	128	valid
303.0ms	986×	body	512	valid
118.0ms	524×	body	256	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 603 to 423 computations (29.9% saved)

Details

analyze360.0ms (6%)

sample46.0ms (0.8%)

simplify135.0ms (2.2%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite31.0ms (0.5%)

series164.0ms (2.7%)

simplify104.0ms (1.7%)

prune108.0ms (1.8%)

localize23.0ms (0.4%)

rewrite32.0ms (0.5%)

series394.0ms (6.5%)

simplify128.0ms (2.1%)

prune103.0ms (1.7%)

localize19.0ms (0.3%)

rewrite39.0ms (0.6%)

series189.0ms (3.1%)

simplify93.0ms (1.5%)

prune110.0ms (1.8%)

localize12.0ms (0.2%)

rewrite26.0ms (0.4%)

series435.0ms (7.2%)

simplify119.0ms (2%)

prune97.0ms (1.6%)

regimes315.0ms (5.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.9s (48.7%)

Profiling