Details

analyze274.0ms (5.5%)

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)

sample54.0ms (1.1%)

Algorithm

1×

intervals

Results

21.0ms	56×	body	1024	valid
11.0ms	150×	body	128	valid
8.0ms	32×	body	512	valid
3.0ms	17×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune3.0ms (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)

localize10.0ms (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))
0.2b	(*.f64 z (sin.f64 y))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 47

Calls

3 calls:

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

series258.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

126.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
69.0ms	(*.f64 x (cos.f64 y))
63.0ms	(*.f64 z (sin.f64 y))

simplify129.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4824	619
1	4824	619

prune174.0ms (3.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	8	57

Merged error: 0.1b

Counts

57 → 8

Compiler

Compiled 2554 to 1349 computations (47.2% saved)

localize16.0ms (0.3%)

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))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.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))
1.0ms	(cbrt.f64 (cos.f64 y))

series570.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

194.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
128.0ms	(cbrt.f64 (cos.f64 y))
126.0ms	(cbrt.f64 (cos.f64 y))
123.0ms	(cbrt.f64 (cos.f64 y))

simplify93.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4954	772
1	4954	772

prune157.0ms (3.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

Compiler

Compiled 2845 to 1193 computations (58.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`unpow-prod-down_binary64`
15×	`associate-r_binary64` `add-exp-log_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`add-cbrt-cube_binary64`
7×	`pow1_binary64` `unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
5×	`sqr-pow_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `unpow2_binary64` `cbrt-prod_binary64`
2×	`*-commutative_binary64`
1×	`pow-prod-down_binary64` `pow1/3_binary64` `pow-pow_binary64` `unpow1/3_binary64`

Counts

4 → 83

Calls

4 calls:

10.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
5.0ms	(*.f64 z (sin.f64 y))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series367.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
124.0ms	(cbrt.f64 (cos.f64 y))
60.0ms	(*.f64 z (sin.f64 y))
22.0ms	(pow.f64 (cos.f64 y) 2)

simplify95.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4898	892
1	4898	892

prune194.0ms (3.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	93	12	105

Merged error: 0.0b

Counts

105 → 12

Compiler

Compiled 3345 to 1831 computations (45.3% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (sin.f64 y))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))
0.6b	(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`log-pow_binary64`
8×	`pow1_binary64` `exp-prod_binary64`
7×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-r_binary64` `log-prod_binary64` `associate-l_binary64` `cbrt-prod_binary64`
2×	`unpow2_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 67

Calls

4 calls:

5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series330.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
123.0ms	(cbrt.f64 (cos.f64 y))
53.0ms	(*.f64 z (sin.f64 y))
23.0ms	(pow.f64 (cos.f64 y) 2)

simplify75.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4826	602
1	4826	602

prune85.0ms (1.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	79	12	91

Merged error: 0.0b

Counts

91 → 12

Compiler

Compiled 1717 to 835 computations (51.4% saved)

regimes111.0ms (2.2%)

Compiler: Compiled 892 to 646 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.9s (37.6%)

Algorithm

1×

intervals

Results

729.0ms	1956×	body	1024	valid
346.0ms	4553×	body	128	valid
229.0ms	977×	body	512	valid
85.0ms	505×	body	256	valid
8.0ms	9×	body	2048	valid

Compiler

Compiled 236 to 173 computations (26.7% saved)

Details

analyze274.0ms (5.5%)

sample54.0ms (1.1%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite18.0ms (0.4%)

series258.0ms (5.1%)

simplify129.0ms (2.6%)

prune174.0ms (3.5%)

localize16.0ms (0.3%)

rewrite19.0ms (0.4%)

series570.0ms (11.4%)

simplify93.0ms (1.8%)

prune157.0ms (3.1%)

localize17.0ms (0.3%)

rewrite27.0ms (0.5%)

series367.0ms (7.3%)

simplify95.0ms (1.9%)

prune194.0ms (3.9%)

localize22.0ms (0.4%)

rewrite19.0ms (0.4%)

series330.0ms (6.6%)

simplify75.0ms (1.5%)

prune85.0ms (1.7%)

regimes111.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (37.6%)

Profiling