Details

analyze528.0ms (7.9%)

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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample71.0ms (1.1%)

Algorithm

1×

intervals

Results

24.0ms	45×	body	1024	valid
22.0ms	185×	body	128	valid
8.0ms	19×	body	512	valid
2.0ms	7×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify190.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	227	14
1	227	14

prune4.0ms (0.1%)

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)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_4209`
6×	`add-sqr-sqrt_binary64_4192`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
3×	`associate-l_binary64_4111` `associate-r_binary64_4110`
2×	`diff-log_binary64_4262`
1×	`flip3--_binary64_4174` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `associate--l+_binary64_4107` `*-commutative_binary64_4101` `cancel-sign-sub-inv_binary64_4136` `sum-log_binary64_4261` `pow-prod-down_binary64_4241` `flip--_binary64_4145` `sub-neg_binary64_4163` `unswap-sqr_binary64_4138`

Counts

2 → 32

Calls

2 calls:

15.0ms	(*.f64 z (sin.f64 y))
13.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

series139.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

81.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
58.0ms	(*.f64 z (sin.f64 y))

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5180	505

prune67.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	7	39

Merged error: 0.0b

Counts

39 → 7

Compiler

Compiled 622 to 169 computations (72.8% saved)

localize20.0ms (0.3%)

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))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
3.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (sin.f64 y))

series582.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
139.0ms	(cbrt.f64 (sin.f64 y))
138.0ms	(cbrt.f64 (sin.f64 y))
118.0ms	(cbrt.f64 (sin.f64 y))

simplify142.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4888	797
1	4888	797

prune139.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

Compiler

Compiled 1906 to 540 computations (71.7% saved)

localize23.0ms (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)

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series657.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

197.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
169.0ms	(cbrt.f64 z)
148.0ms	(cbrt.f64 z)
142.0ms	(cbrt.f64 z)

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune129.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

Compiler

Compiled 1678 to 463 computations (72.4% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 y) 2)
0.3b	(.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
17.0b	(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

21.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)))
8.0ms	(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
6.0ms	(pow.f64 (sin.f64 y) 2)
3.0ms	(cbrt.f64 (sin.f64 y))

series371.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
128.0ms	(cbrt.f64 (sin.f64 y))
59.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)))
24.0ms	(pow.f64 (sin.f64 y) 2)

simplify136.0ms (2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4883	799
1	4883	799

prune128.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

Compiler

Compiled 1619 to 626 computations (61.3% saved)

regimes251.0ms (3.7%)

Compiler: Compiled 1188 to 850 computations (28.5% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample2.7s (40.4%)

Algorithm

1×

intervals

Results

697.0ms	5708×	body	128	valid
677.0ms	1279×	body	1024	valid
238.0ms	666×	body	512	valid
90.0ms	344×	body	256	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 310 to 224 computations (27.7% saved)

Details

analyze528.0ms (7.9%)

sample71.0ms (1.1%)

simplify190.0ms (2.8%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite32.0ms (0.5%)

series139.0ms (2.1%)

simplify103.0ms (1.5%)

prune67.0ms (1%)

localize20.0ms (0.3%)

rewrite32.0ms (0.5%)

series582.0ms (8.7%)

simplify142.0ms (2.1%)

prune139.0ms (2.1%)

localize23.0ms (0.3%)

rewrite29.0ms (0.4%)

series657.0ms (9.8%)

simplify114.0ms (1.7%)

prune129.0ms (1.9%)

localize29.0ms (0.4%)

rewrite49.0ms (0.7%)

series371.0ms (5.5%)

simplify136.0ms (2%)

prune128.0ms (1.9%)

regimes251.0ms (3.7%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample2.7s (40.4%)

Profiling