Details

analyze404.0ms (11%)

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
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample35.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	43×	body	1024	valid
9.0ms	173×	body	128	valid
4.0ms	27×	body	512	valid
1.0ms	13×	body	256	valid
1.0ms	15×	body	128	invalid
0.0ms	2×	body	512	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify170.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

prune2.0ms (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: 3.4b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
3.4b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_16957`
22×	`times-frac_binary64_16941`
21×	`add-cube-cbrt_binary64_16970` `*-un-lft-identity_binary64_16935`
19×	`add-cbrt-cube_binary64_16971` `add-exp-log_binary64_16973`
13×	`associate-r_binary64_16875`
6×	`div-exp_binary64_16986` `associate-/r*_binary64_16879` `cbrt-undiv_binary64_16969`
5×	`pow1_binary64_16996`
4×	`cbrt-unprod_binary64_16968` `associate-/l*_binary64_16880` `prod-exp_binary64_16984`
3×	`associate-l_binary64_16876` `div-inv_binary64_16932` `add-log-exp_binary64_16974`
2×	`associate-*r/_binary64_16877` `unswap-sqr_binary64_16903` `frac-2neg_binary64_16946` `clear-num_binary64_16934`
1×	`associate-/l/_binary64_16882` `pow-prod-down_binary64_17006` `*-commutative_binary64_16866`

Counts

3 → 83

Calls

3 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms	(/.f64 (sin.f64 y) y)

series253.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

125.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
92.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
36.0ms	(/.f64 (sin.f64 y) y)

simplify80.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4944	1161
1	4944	1161

prune129.0ms (3.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

Compiler

Compiled 2190 to 963 computations (56% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
2.3b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

rewrite49.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64_16941`
98×	`add-sqr-sqrt_binary64_16957`
89×	`add-cube-cbrt_binary64_16970` `*-un-lft-identity_binary64_16935`
43×	`associate-r_binary64_16875`
19×	`add-cbrt-cube_binary64_16971` `add-exp-log_binary64_16973`
16×	`associate-/l*_binary64_16880`
10×	`div-inv_binary64_16932`
7×	`div-exp_binary64_16986` `cbrt-undiv_binary64_16969`
6×	`associate-/r*_binary64_16879`
5×	`pow1_binary64_16996`
3×	`cbrt-unprod_binary64_16968` `unswap-sqr_binary64_16903` `associate-l_binary64_16876` `add-log-exp_binary64_16974` `prod-exp_binary64_16984`
2×	`frac-2neg_binary64_16946` `clear-num_binary64_16934`
1×	`associate-r/_binary64_16877` `associate-/l/_binary64_16882` `pow-prod-down_binary64_17006` `-commutative_binary64_16866`

Counts

3 → 162

Calls

3 calls:

17.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
7.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
4.0ms	(/.f64 (sin.f64 y) y)

series233.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

134.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
60.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
39.0ms	(/.f64 (sin.f64 y) y)

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5022	2931

prune142.0ms (3.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	171	6	177

Merged error: 0b

Counts

177 → 6

Compiler

Compiled 3081 to 818 computations (73.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (sin.f64 y))
3.4b	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)
7.6b	(/.f64 (*.f64 x (sin.f64 y)) y)

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_16941`
25×	`add-sqr-sqrt_binary64_16957`
23×	`add-cube-cbrt_binary64_16970` `*-un-lft-identity_binary64_16935`
19×	`add-cbrt-cube_binary64_16971` `add-exp-log_binary64_16973`
8×	`associate-/l*_binary64_16880`
7×	`div-exp_binary64_16986` `cbrt-undiv_binary64_16969`
6×	`div-inv_binary64_16932` `associate-/r*_binary64_16879`
5×	`pow1_binary64_16996`
3×	`cbrt-unprod_binary64_16968` `associate-l_binary64_16876` `add-log-exp_binary64_16974` `prod-exp_binary64_16984` `associate-r_binary64_16875`
2×	`frac-2neg_binary64_16946` `clear-num_binary64_16934`
1×	`unswap-sqr_binary64_16903` `associate-/l/_binary64_16882` `pow-prod-down_binary64_17006` `*-commutative_binary64_16866`

Counts

3 → 87

Calls

3 calls:

7.0ms	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)
5.0ms	(/.f64 (*.f64 x (sin.f64 y)) y)
5.0ms	(*.f64 x (sin.f64 y))

series264.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

117.0ms	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)
93.0ms	(/.f64 (*.f64 x (sin.f64 y)) y)
54.0ms	(*.f64 x (sin.f64 y))

simplify38.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4996	1386
1	4996	1386

prune72.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0b

Counts

102 → 6

Compiler

Compiled 1410 to 415 computations (70.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.3b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
6.1b	(/.f64 (sin.f64 y) (*.f64 y z))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_16971` `add-exp-log_binary64_16973`
9×	`add-sqr-sqrt_binary64_16957`
7×	`add-cube-cbrt_binary64_16970` `-un-lft-identity_binary64_16935` `associate-r*_binary64_16875`
6×	`times-frac_binary64_16941`
5×	`cbrt-unprod_binary64_16968` `prod-exp_binary64_16984`
4×	`pow1_binary64_16996` `div-exp_binary64_16986` `cbrt-undiv_binary64_16969`
3×	`associate-l_binary64_16876` `associate-/l*_binary64_16880`
2×	`div-inv_binary64_16932` `add-log-exp_binary64_16974`
1×	`associate-r/_binary64_16877` `unswap-sqr_binary64_16903` `pow-prod-down_binary64_17006` `frac-2neg_binary64_16946` `clear-num_binary64_16934` `associate-/r_binary64_16879` `*-commutative_binary64_16866`

Counts

2 → 48

Calls

2 calls:

8.0ms	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
5.0ms	(/.f64 (sin.f64 y) (*.f64 y z))

series186.0ms (5.1%)

Counts

2 → 6

Calls

2 calls:

129.0ms	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
57.0ms	(/.f64 (sin.f64 y) (*.f64 y z))

simplify68.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5052	712

prune39.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	54	6	60

Merged error: 0b

Counts

60 → 6

Compiler

Compiled 728 to 204 computations (72% saved)

regimes64.0ms (1.8%)

Compiler: Compiled 234 to 204 computations (12.8% saved)

bsearch14.0ms (0.4%)

Steps

Iters	Range		Point
5	-1.2380315648524949e+103	-3.390514167043672e+102	-6.877848163185208e+102

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	30
1	17	30

end0.0ms (0%)

sample1.2s (33.8%)

Algorithm

1×

intervals

Results

362.0ms	1407×	body	1024	valid
284.0ms	5370×	body	128	valid
129.0ms	791×	body	512	valid
47.0ms	432×	body	256	valid
28.0ms	510×	body	128	invalid
8.0ms	50×	body	512	invalid
6.0ms	25×	body	1024	invalid
5.0ms	42×	body	256	invalid

Compiler

Compiled 120 to 89 computations (25.8% saved)

Details

analyze404.0ms (11%)

sample35.0ms (1%)

simplify170.0ms (4.6%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite26.0ms (0.7%)

series253.0ms (6.9%)

simplify80.0ms (2.2%)

prune129.0ms (3.5%)

localize7.0ms (0.2%)

rewrite49.0ms (1.3%)

series233.0ms (6.4%)

simplify81.0ms (2.2%)

prune142.0ms (3.9%)

localize7.0ms (0.2%)

rewrite24.0ms (0.6%)

series264.0ms (7.2%)

simplify38.0ms (1%)

prune72.0ms (2%)

localize7.0ms (0.2%)

rewrite17.0ms (0.5%)

series186.0ms (5.1%)

simplify68.0ms (1.9%)

prune39.0ms (1.1%)

regimes64.0ms (1.8%)

bsearch14.0ms (0.4%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (33.8%)

Profiling