Details

analyze285.0ms (5.8%)

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
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)

sample49.0ms (1%)

Algorithm

1×

intervals

Results

20.0ms	58×	body	1024	valid
10.0ms	150×	body	128	valid
8.0ms	36×	body	512	valid
2.0ms	12×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify8.0ms (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)

localize13.0ms (0.3%)

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))

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

series247.0ms (5%)

Counts

3 → 9

Calls

3 calls:

136.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
58.0ms	(*.f64 x (sin.f64 y))
53.0ms	(*.f64 z (cos.f64 y))

simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4824	625
1	4824	625

prune214.0ms (4.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	12	57

Merged error: 0.0b

Counts

57 → 12

Compiler

Compiled 3300 to 1819 computations (44.9% 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))

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:

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))

series541.0ms (11%)

Counts

4 → 12

Calls

4 calls:

176.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
129.0ms	(cbrt.f64 (cos.f64 y))
119.0ms	(cbrt.f64 (cos.f64 y))
116.0ms	(cbrt.f64 (cos.f64 y))

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4954	772
1	4954	772

prune136.0ms (2.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

Compiler

Compiled 2635 to 994 computations (62.3% saved)

localize17.0ms (0.3%)

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)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(pow.f64 (cos.f64 y) 2)

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

11.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
10.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series378.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
134.0ms	(cbrt.f64 (cos.f64 y))
57.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
26.0ms	(pow.f64 (cos.f64 y) 2)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4960	984
1	4960	984

prune175.0ms (3.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	3	6	9
Picked	0	1	1
Done	0	2	2
Total	101	13	114

Merged error: 0.0b

Counts

114 → 13

Compiler

Compiled 3063 to 1526 computations (50.2% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)) (pow.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1/3 2))) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(pow.f64 (cos.f64 y) 2)

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`add-exp-log_binary64`
86×	`prod-exp_binary64`
46×	`pow-exp_binary64`
24×	`pow-to-exp_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`pow-unpow_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `unpow-prod-down_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64`
2×	`unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64`
1×	`pow-prod-down_binary64` `pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 97

Calls

4 calls:

18.0ms	(.f64 (.f64 (*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)) (pow.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1/3 2))) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series238.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt.f64 (cos.f64 y))
60.0ms	(.f64 (.f64 (*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/6)) (pow.f64 (pow.f64 (cos.f64 y) 2) (/.f64 1/3 2))) (cbrt.f64 (cos.f64 y)))
25.0ms	(pow.f64 (cos.f64 y) 2)
23.0ms	(pow.f64 (cos.f64 y) 2)

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5278	890

prune127.0ms (2.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	9	9
Picked	0	1	1
Done	0	3	3
Total	109	13	122

Merged error: 0.0b

Counts

122 → 13

Compiler

Compiled 2575 to 1205 computations (53.2% saved)

regimes121.0ms (2.5%)

Compiler: Compiled 952 to 718 computations (24.6% 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 (38.3%)

Algorithm

1×

intervals

Results

731.0ms	2003×	body	1024	valid
311.0ms	4491×	body	128	valid
239.0ms	1017×	body	512	valid
76.0ms	484×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 251 to 191 computations (23.9% saved)

Details

analyze285.0ms (5.8%)

sample49.0ms (1%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize13.0ms (0.3%)

rewrite18.0ms (0.4%)

series247.0ms (5%)

simplify98.0ms (2%)

prune214.0ms (4.4%)

localize13.0ms (0.3%)

rewrite19.0ms (0.4%)

series541.0ms (11%)

simplify88.0ms (1.8%)

prune136.0ms (2.8%)

localize17.0ms (0.3%)

rewrite34.0ms (0.7%)

series378.0ms (7.7%)

simplify68.0ms (1.4%)

prune175.0ms (3.6%)

localize21.0ms (0.4%)

rewrite38.0ms (0.8%)

series238.0ms (4.9%)

simplify76.0ms (1.6%)

prune127.0ms (2.6%)

regimes121.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (38.3%)

Profiling