Details

analyze265.0ms (5.2%)

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

24.0ms	64×	body	1024	valid
10.0ms	141×	body	128	valid
8.0ms	35×	body	512	valid
2.0ms	15×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

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))

rewrite16.0ms (0.3%)

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×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64`

Counts

3 → 48

Calls

3 calls:

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

series243.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

126.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
64.0ms	(*.f64 z (sin.f64 y))
53.0ms	(*.f64 x (cos.f64 y))

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4862	635
1	4862	635

prune231.0ms (4.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	46	11	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	12	58

Merged error: 0.0b

Counts

58 → 12

Compiler

Compiled 3631 to 2044 computations (43.7% saved)

localize13.0ms (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))

rewrite18.0ms (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:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series516.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
125.0ms	(cbrt.f64 (cos.f64 y))
114.0ms	(cbrt.f64 (cos.f64 y))
107.0ms	(cbrt.f64 (cos.f64 y))

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4954	772
1	4954	772

prune172.0ms (3.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	84	13	97

Merged error: 0.0b

Counts

97 → 13

Compiler

Compiled 3336 to 1469 computations (56% saved)

localize15.0ms (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`
13×	`add-sqr-sqrt_binary64`
12×	`prod-exp_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64` `associate-r_binary64`
6×	`cbrt-unprod_binary64` `cbrt-prod_binary64`
5×	`pow-exp_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `unpow-prod-down_binary64`
2×	`pow-prod-down_binary64` `*-commutative_binary64`
1×	`unpow2_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `unpow1/3_binary64`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.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))

series269.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 (cos.f64 y))
58.0ms	(*.f64 z (sin.f64 y))
57.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
26.0ms	(pow.f64 (cos.f64 y) 2)

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4904	705
1	4904	705

prune203.0ms (4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	3	8	11
Picked	0	1	1
Done	0	1	1
Total	84	13	97

Merged error: 0.0b

Counts

97 → 13

Compiler

Compiled 3495 to 1940 computations (44.5% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x (pow.f64 (log.f64 (exp.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))
0.6b	(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (.f64 x (pow.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))) 1/3)) (cbrt.f64 (cos.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))

series563.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

294.0ms	(.f64 (.f64 x (pow.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2))) 1/3)) (cbrt.f64 (cos.f64 y)))
137.0ms	(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
108.0ms	(cbrt.f64 (cos.f64 y))
24.0ms	(pow.f64 (cos.f64 y) 2)

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4976	676
1	4976	676

prune79.0ms (1.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	84	13	97

Merged error: 0.0b

Counts

97 → 13

Compiler

Compiled 1621 to 710 computations (56.2% saved)

regimes113.0ms (2.2%)

Compiler: Compiled 956 to 662 computations (30.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.9s (37%)

Algorithm

1×

intervals

Results

727.0ms	1962×	body	1024	valid
351.0ms	4547×	body	128	valid
222.0ms	986×	body	512	valid
79.0ms	495×	body	256	valid
14.0ms	10×	body	2048	valid

Compiler

Compiled 252 to 177 computations (29.8% saved)

Details

analyze265.0ms (5.2%)

sample54.0ms (1.1%)

simplify15.0ms (0.3%)

prune3.0ms (0%)

localize9.0ms (0.2%)

rewrite16.0ms (0.3%)

series243.0ms (4.8%)

simplify89.0ms (1.7%)

prune231.0ms (4.5%)

localize13.0ms (0.3%)

rewrite18.0ms (0.4%)

series516.0ms (10.2%)

simplify81.0ms (1.6%)

prune172.0ms (3.4%)

localize15.0ms (0.3%)

rewrite25.0ms (0.5%)

series269.0ms (5.3%)

simplify86.0ms (1.7%)

prune203.0ms (4%)

localize19.0ms (0.4%)

rewrite27.0ms (0.5%)

series563.0ms (11.1%)

simplify76.0ms (1.5%)

prune79.0ms (1.6%)

regimes113.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (37%)

Profiling