Details

analyze459.0ms (6.7%)

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample50.0ms (0.7%)

Algorithm

1×

intervals

Results

21.0ms	66×	body	1024	valid
10.0ms	148×	body	128	valid
6.0ms	32×	body	512	valid
1.0ms	9×	body	256	valid
1.0ms	1×	body	2048	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)

localize10.0ms (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))

rewrite91.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_4192`
7×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
6×	`associate-l_binary64_4111` `associate-r_binary64_4110`
5×	`add-log-exp_binary64_4209`
2×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `*-commutative_binary64_4101`
1×	`sum-log_binary64_4261` `flip3-+_binary64_4173` `flip-+_binary64_4144` `+-commutative_binary64_4100`

Counts

3 → 47

Calls

3 calls:

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

Compiler

Compiled 730 to 175 computations (76% saved)

series431.0ms (6.2%)

Error

0.1b

Counts

3 → 32

Calls

3 calls:

242.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
80.0ms	(*.f64 z (cos.f64 y))
71.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 748 to 476 computations (36.4% saved)

simplify117.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5105	852

prune84.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	67	12	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	12	80

Error

0.0b

Counts

80 → 12

Compiler

Compiled 1151 to 314 computations (72.7% saved)

localize11.0ms (0.2%)

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))

rewrite101.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_4201`
23×	`add-sqr-sqrt_binary64_4192`
15×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
11×	`pow1_binary64_4231`
9×	`pow1/3_binary64_4252`
6×	`add-exp-log_binary64_4208` `swap-sqr_binary64_4137` `associate-l_binary64_4111` `associate-r_binary64_4110`
4×	`add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `unswap-sqr_binary64_4138`
2×	`pow-prod-down_binary64_4241` `pow-prod-up_binary64_4240` `pow-sqr_binary64_4143`
1×	`pow2_binary64_4251` `pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `*-commutative_binary64_4101`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.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)

series335.0ms (4.9%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

95.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
79.0ms	(cbrt.f64 (cos.f64 y))
76.0ms	(cbrt.f64 (cos.f64 y))
71.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 840 to 522 computations (37.9% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune103.0ms (1.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	89	12	101

Error

0.0b

Counts

101 → 12

Compiler

Compiled 2010 to 568 computations (71.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite104.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64_4208`
13×	`add-sqr-sqrt_binary64_4192`
12×	`prod-exp_binary64_4219`
11×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
10×	`add-cbrt-cube_binary64_4206`
9×	`pow1_binary64_4231` `associate-r_binary64_4110`
6×	`cbrt-prod_binary64_4201` `cbrt-unprod_binary64_4203`
5×	`pow-exp_binary64_4238`
4×	`add-log-exp_binary64_4209` `associate-l_binary64_4111`
3×	`unpow-prod-down_binary64_4249` `pow-unpow_binary64_4247` `pow-to-exp_binary64_4239`
2×	`pow-prod-down_binary64_4241` `*-commutative_binary64_4101`
1×	`pow1/3_binary64_4252` `pow-pow_binary64_4242` `unpow2_binary64_4235` `sqr-pow_binary64_4142` `unpow1/3_binary64_4237` `unswap-sqr_binary64_4138`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
4.0ms	(*.f64 x (sin.f64 y))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1641 to 746 computations (54.5% saved)

series286.0ms (4.1%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

79.0ms	(*.f64 x (sin.f64 y))
74.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
72.0ms	(cbrt.f64 (cos.f64 y))
41.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 961 to 677 computations (29.6% saved)

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4976	751
1	4976	751

prune103.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	94	12	106

Error

0.0b

Counts

106 → 12

Compiler

Compiled 1841 to 761 computations (58.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite89.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_4201`
23×	`add-sqr-sqrt_binary64_4192`
15×	`add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170`
11×	`pow1_binary64_4231`
9×	`pow1/3_binary64_4252`
6×	`add-exp-log_binary64_4208` `swap-sqr_binary64_4137` `associate-l_binary64_4111` `associate-r_binary64_4110`
4×	`add-log-exp_binary64_4209` `add-cbrt-cube_binary64_4206` `unswap-sqr_binary64_4138`
2×	`pow-prod-down_binary64_4241` `pow-prod-up_binary64_4240` `pow-sqr_binary64_4143`
1×	`pow2_binary64_4251` `pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `*-commutative_binary64_4101`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.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)

series458.0ms (6.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

139.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
116.0ms	(cbrt.f64 x)
101.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 x)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune88.0ms (1.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	84	13	97

Error

0.0b

Counts

97 → 13

Compiler

Compiled 1573 to 371 computations (76.4% saved)

regimes448.0ms (6.5%)

Accuracy

Total 0.1b remaining (79.5%)

Threshold costs 0.1b (79.5%)

Compiler

Compiled 3844 to 2446 computations (36.4% 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%)

sample3.2s (46.8%)

Algorithm

1×

intervals

Results

742.0ms	2049×	body	1024	valid
390.0ms	4461×	body	128	valid
276.0ms	1020×	body	512	valid
79.0ms	463×	body	256	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 974 to 623 computations (36% saved)

Details

analyze459.0ms (6.7%)

sample50.0ms (0.7%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite91.0ms (1.3%)

series431.0ms (6.2%)

simplify117.0ms (1.7%)

prune84.0ms (1.2%)

localize11.0ms (0.2%)

rewrite101.0ms (1.5%)

series335.0ms (4.9%)

simplify93.0ms (1.3%)

prune103.0ms (1.5%)

localize14.0ms (0.2%)

rewrite104.0ms (1.5%)

series286.0ms (4.1%)

simplify75.0ms (1.1%)

prune103.0ms (1.5%)

localize17.0ms (0.2%)

rewrite89.0ms (1.3%)

series458.0ms (6.6%)

simplify88.0ms (1.3%)

prune88.0ms (1.3%)

regimes448.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.2s (46.8%)

Profiling