Details

analyze365.0ms (6.3%)

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)

sample44.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	51×	body	1024	valid
9.0ms	150×	body	128	valid
6.0ms	33×	body	512	valid
3.0ms	20×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify11.0ms (0.2%)

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)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite57.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_6238`
7×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
6×	`associate-l_binary64_6157` `associate-r_binary64_6156`
5×	`add-log-exp_binary64_6255`
2×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `*-commutative_binary64_6147`
1×	`sum-log_binary64_6307` `flip3-+_binary64_6219` `flip-+_binary64_6190` `+-commutative_binary64_6146`

Counts

3 → 47

Calls

3 calls:

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

Compiler

Compiled 730 to 175 computations (76% saved)

series379.0ms (6.5%)

Error

0.1b

Counts

3 → 34

Calls

3 calls:

215.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
76.0ms	(*.f64 z (cos.f64 y))
67.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 830 to 532 computations (35.9% saved)

simplify121.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4823	905
1	4823	905

prune72.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	72	9	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	9	82

Error

0.0b

Counts

82 → 9

Compiler

Compiled 1134 to 311 computations (72.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.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))

rewrite84.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`add-exp-log_binary64_6254` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `associate-r_binary64_6156`
4×	`add-log-exp_binary64_6255` `add-cbrt-cube_binary64_6252` `unswap-sqr_binary64_6184`
2×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286` `pow-sqr_binary64_6189`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.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)

series408.0ms (7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

130.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
87.0ms	(cbrt.f64 (cos.f64 y))
84.0ms	(cbrt.f64 (cos.f64 y))
82.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1212 to 763 computations (37% saved)

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4915	928
1	4915	928

prune98.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	96	10	106

Error

0.0b

Counts

106 → 10

Compiler

Compiled 2208 to 675 computations (69.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite125.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-exp-log_binary64_6254`
22×	`add-sqr-sqrt_binary64_6238`
19×	`unpow-prod-down_binary64_6295`
18×	`associate-r_binary64_6156`
16×	`prod-exp_binary64_6265`
13×	`add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
11×	`add-cbrt-cube_binary64_6252`
9×	`pow-exp_binary64_6284`
7×	`pow1_binary64_6277` `cbrt-unprod_binary64_6249`
6×	`cbrt-prod_binary64_6247` `unswap-sqr_binary64_6184`
5×	`pow-to-exp_binary64_6285` `sqr-pow_binary64_6188`
4×	`add-log-exp_binary64_6255` `associate-l_binary64_6157`
3×	`pow-unpow_binary64_6293` `unpow2_binary64_6281`
2×	`unpow1/3_binary64_6283` `*-commutative_binary64_6147`
1×	`pow1/3_binary64_6298` `pow-pow_binary64_6288` `pow-prod-down_binary64_6287`

Counts

4 → 90

Calls

4 calls:

10.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
8.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 2148 to 1014 computations (52.8% saved)

series481.0ms (8.2%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

271.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
78.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
77.0ms	(cbrt.f64 (cos.f64 y))
29.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1284 to 900 computations (29.9% saved)

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4916	1233
1	4916	1233

prune115.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	119	11	130

Error

0.0b

Counts

130 → 11

Compiler

Compiled 2379 to 982 computations (58.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.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))

rewrite70.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_6247`
9×	`add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238` `*-un-lft-identity_binary64_6216`
4×	`pow1/3_binary64_6298` `pow1_binary64_6277` `add-log-exp_binary64_6255` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt.f64 (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 1562 to 497 computations (68.2% saved)

series350.0ms (6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

83.0ms	(cbrt.f64 (cos.f64 y))
80.0ms	(cbrt.f64 (cos.f64 y))
78.0ms	(cbrt.f64 (cos.f64 y))
77.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))

Compiler

Compiled 1802 to 1119 computations (37.9% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5904	689

prune90.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	71	11	82

Error

0.0b

Counts

82 → 11

Compiler

Compiled 2276 to 843 computations (63% saved)

regimes364.0ms (6.2%)

Accuracy

Total 0.1b remaining (79.1%)

Threshold costs 0.1b (79.1%)

Compiler

Compiled 3528 to 2474 computations (29.9% 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%)

sample2.3s (39%)

Algorithm

1×

intervals

Results

537.0ms	1915×	body	1024	valid
303.0ms	4501×	body	128	valid
209.0ms	1072×	body	512	valid
64.0ms	504×	body	256	valid
4.0ms	8×	body	2048	valid

Compiler

Compiled 895 to 630 computations (29.6% saved)

Details

analyze365.0ms (6.3%)

sample44.0ms (0.8%)

simplify11.0ms (0.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite57.0ms (1%)

series379.0ms (6.5%)

simplify121.0ms (2.1%)

prune72.0ms (1.2%)

localize11.0ms (0.2%)

rewrite84.0ms (1.4%)

series408.0ms (7%)

simplify101.0ms (1.7%)

prune98.0ms (1.7%)

localize14.0ms (0.2%)

rewrite125.0ms (2.1%)

series481.0ms (8.2%)

simplify92.0ms (1.6%)

prune115.0ms (2%)

localize18.0ms (0.3%)

rewrite70.0ms (1.2%)

series350.0ms (6%)

simplify74.0ms (1.3%)

prune90.0ms (1.5%)

regimes364.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (39%)

Profiling