Details

analyze263.0ms (5%)

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)

sample51.0ms (1%)

Algorithm

1×

intervals

Results

23.0ms	63×	body	1024	valid
10.0ms	146×	body	128	valid
7.0ms	32×	body	512	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify173.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	139	14
1	139	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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (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))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_6164`
7×	`add-exp-log_binary64_6178` `add-cube-cbrt_binary64_6175` `add-cbrt-cube_binary64_6176` `*-un-lft-identity_binary64_6143` `pow1_binary64_6201`
6×	`associate-r_binary64_6085` `associate-l_binary64_6086`
5×	`add-log-exp_binary64_6179`
2×	`cbrt-unprod_binary64_6173` `unswap-sqr_binary64_6111` `prod-exp_binary64_6189` `*-commutative_binary64_6076` `pow-prod-down_binary64_6211`
1×	`sub-neg_binary64_6136` `flip3--_binary64_6147` `flip--_binary64_6118` `diff-log_binary64_6232`

Counts

3 → 47

Calls

3 calls:

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

series247.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

134.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
59.0ms	(*.f64 z (sin.f64 y))
53.0ms	(*.f64 x (cos.f64 y))

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4911	627
1	4911	627

prune270.0ms (5.1%)

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

Merged error: 0.0b

Counts

57 → 11

Compiler

Compiled 947 to 278 computations (70.6% saved)

localize13.0ms (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))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6171`
23×	`add-sqr-sqrt_binary64_6164`
15×	`add-cube-cbrt_binary64_6175` `*-un-lft-identity_binary64_6143`
11×	`pow1_binary64_6201`
9×	`pow1/3_binary64_6222`
6×	`associate-r_binary64_6085` `add-exp-log_binary64_6178` `swap-sqr_binary64_6110` `associate-l_binary64_6086`
4×	`add-log-exp_binary64_6179` `unswap-sqr_binary64_6111` `add-cbrt-cube_binary64_6176`
2×	`pow-sqr_binary64_6116` `pow-prod-up_binary64_6210` `pow-prod-down_binary64_6211`
1×	`cbrt-unprod_binary64_6173` `pow2_binary64_6221` `prod-exp_binary64_6189` `pow-plus_binary64_6203` `*-commutative_binary64_6076`

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))

series519.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
120.0ms	(cbrt.f64 (cos.f64 y))
114.0ms	(cbrt.f64 (cos.f64 y))
110.0ms	(cbrt.f64 (cos.f64 y))

simplify82.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4906	772
1	4906	772

prune99.0ms (1.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

Compiler

Compiled 1993 to 581 computations (70.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.1b	(.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))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_6178`
13×	`add-sqr-sqrt_binary64_6164`
12×	`prod-exp_binary64_6189`
11×	`add-cube-cbrt_binary64_6175` `*-un-lft-identity_binary64_6143`
10×	`add-cbrt-cube_binary64_6176`
9×	`associate-r_binary64_6085` `pow1_binary64_6201`
6×	`cbrt-unprod_binary64_6173` `cbrt-prod_binary64_6171`
5×	`pow-exp_binary64_6208`
4×	`add-log-exp_binary64_6179` `associate-l_binary64_6086`
3×	`unpow-prod-down_binary64_6219` `pow-unpow_binary64_6217` `pow-to-exp_binary64_6209`
2×	`*-commutative_binary64_6076` `pow-prod-down_binary64_6211`
1×	`unpow1/3_binary64_6207` `unswap-sqr_binary64_6111` `unpow2_binary64_6205` `sqr-pow_binary64_6115` `pow1/3_binary64_6222` `pow-pow_binary64_6212`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series263.0ms (5%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 (cos.f64 y))
62.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
58.0ms	(*.f64 z (sin.f64 y))
22.0ms	(pow.f64 (cos.f64 y) 2)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4822	705
1	4822	705

prune87.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

Compiler

Compiled 1729 to 728 computations (57.9% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_6164`
16×	`cbrt-prod_binary64_6171`
14×	`add-cube-cbrt_binary64_6175` `*-un-lft-identity_binary64_6143`
10×	`associate-r_binary64_6085`
7×	`log-pow_binary64_6229` `pow1_binary64_6201`
6×	`log-prod_binary64_6226` `add-exp-log_binary64_6178` `associate-l_binary64_6086` `exp-prod_binary64_6192`
5×	`add-cbrt-cube_binary64_6176`
4×	`add-log-exp_binary64_6179`
3×	`distribute-lft-in_binary64_6094` `distribute-rgt-in_binary64_6095` `pow1/3_binary64_6222`
2×	`unswap-sqr_binary64_6111`
1×	`cbrt-unprod_binary64_6173` `prod-exp_binary64_6189` `*-commutative_binary64_6076` `pow-prod-down_binary64_6211`

Counts

4 → 68

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (log.f64 (exp.f64 (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))

series806.0ms (15.2%)

Counts

4 → 12

Calls

4 calls:

452.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y)))))
120.0ms	(cbrt.f64 (cos.f64 y))
118.0ms	(cbrt.f64 (cos.f64 y))
117.0ms	(cbrt.f64 (cos.f64 y))

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4984	848
1	4984	848

prune74.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	80	11	91

Merged error: 0.0b

Counts

91 → 11

Compiler

Compiled 1863 to 479 computations (74.3% saved)

regimes104.0ms (2%)

Compiler: Compiled 952 to 582 computations (38.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	27
1	44	27

end0.0ms (0%)

sample1.9s (35.8%)

Algorithm

1×

intervals

Results

768.0ms	2014×	body	1024	valid
341.0ms	4511×	body	128	valid
226.0ms	994×	body	512	valid
72.0ms	476×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 259 to 163 computations (37.1% saved)

Details

analyze263.0ms (5%)

sample51.0ms (1%)

simplify173.0ms (3.3%)

prune3.0ms (0%)

localize9.0ms (0.2%)

rewrite17.0ms (0.3%)

series247.0ms (4.7%)

simplify72.0ms (1.4%)

prune270.0ms (5.1%)

localize13.0ms (0.2%)

rewrite18.0ms (0.3%)

series519.0ms (9.8%)

simplify82.0ms (1.5%)

prune99.0ms (1.9%)

localize16.0ms (0.3%)

rewrite25.0ms (0.5%)

series263.0ms (5%)

simplify67.0ms (1.3%)

prune87.0ms (1.6%)

localize18.0ms (0.3%)

rewrite23.0ms (0.4%)

series806.0ms (15.2%)

simplify81.0ms (1.5%)

prune74.0ms (1.4%)

regimes104.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (35.8%)

Profiling