Details

analyze373.0ms (8.8%)

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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample44.0ms (1%)

Algorithm

1×

intervals

Results

14.0ms	37×	body	1024	valid
13.0ms	184×	body	128	valid
5.0ms	23×	body	512	valid
2.0ms	12×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify168.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	20	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: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_3483`
6×	`add-sqr-sqrt_binary64_3468`
4×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479` `add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482` `pow1_binary64_3505`
3×	`sum-log_binary64_3535` `associate-l_binary64_3390` `associate-r_binary64_3389`
1×	`cbrt-unprod_binary64_3477` `flip-+_binary64_3421` `flip3-+_binary64_3450` `+-commutative_binary64_3379` `*-commutative_binary64_3380` `unswap-sqr_binary64_3415` `associate-+l+_binary64_3382` `pow-prod-down_binary64_3515` `prod-exp_binary64_3493`

Counts

2 → 31

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

series130.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

77.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
52.0ms	(*.f64 z (cos.f64 y))

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4977	480
1	4977	480

prune32.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

Compiler

Compiled 582 to 147 computations (74.7% saved)

localize12.0ms (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))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3475`
23×	`add-sqr-sqrt_binary64_3468`
15×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479`
11×	`pow1_binary64_3505`
9×	`pow1/3_binary64_3526`
6×	`swap-sqr_binary64_3414` `associate-l_binary64_3390` `add-exp-log_binary64_3482` `associate-r_binary64_3389`
4×	`add-log-exp_binary64_3483` `add-cbrt-cube_binary64_3480` `unswap-sqr_binary64_3415`
2×	`pow-sqr_binary64_3420` `pow-prod-down_binary64_3515` `pow-prod-up_binary64_3514`
1×	`cbrt-unprod_binary64_3477` `pow-plus_binary64_3507` `pow2_binary64_3525` `*-commutative_binary64_3380` `prod-exp_binary64_3493`

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))

series527.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
128.0ms	(cbrt.f64 (cos.f64 y))
114.0ms	(cbrt.f64 (cos.f64 y))
113.0ms	(cbrt.f64 (cos.f64 y))

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4906	772
1	4906	772

prune78.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

Compiler

Compiled 1834 to 483 computations (73.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 y))
0.0b	(sqrt.f64 (cos.f64 y))
0.1b	(*.f64 z (sqrt.f64 (cos.f64 y)))
0.1b	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_3468`
13×	`sqrt-prod_binary64_3462` `pow1_binary64_3505`
12×	`associate-r_binary64_3389`
11×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479` `add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482`
4×	`cbrt-unprod_binary64_3477` `add-log-exp_binary64_3483` `associate-l_binary64_3390` `pow-prod-down_binary64_3515` `prod-exp_binary64_3493`
2×	`rem-sqrt-square_binary64_3460` `pow1/2_binary64_3524` `sqrt-pow1_binary64_3464` `*-commutative_binary64_3380` `unswap-sqr_binary64_3415`

Counts

4 → 69

Calls

4 calls:

8.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
6.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
2.0ms	(sqrt.f64 (cos.f64 y))
2.0ms	(sqrt.f64 (cos.f64 y))

series189.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
57.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
25.0ms	(sqrt.f64 (cos.f64 y))
23.0ms	(sqrt.f64 (cos.f64 y))

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4944	724
1	4944	724

prune61.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	79	7	86

Merged error: 0.0b

Counts

86 → 7

Compiler

Compiled 1426 to 312 computations (78.1% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sqrt.f64 (cos.f64 y)))
0.1b	(exp.f64 (sqrt.f64 (cos.f64 y)))
0.1b	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 y)))))
0.1b	(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_3468`
18×	`exp-prod_binary64_3496`
17×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479`
16×	`associate-r_binary64_3389`
14×	`log-pow_binary64_3533`
13×	`sqrt-prod_binary64_3462` `pow1_binary64_3505`
11×	`add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482`
9×	`log-prod_binary64_3530`
5×	`add-log-exp_binary64_3483`
4×	`cbrt-unprod_binary64_3477` `associate-l_binary64_3390` `pow-prod-down_binary64_3515` `prod-exp_binary64_3493`
3×	`distribute-lft-in_binary64_3398` `distribute-rgt-in_binary64_3399`
2×	`*-commutative_binary64_3380` `unswap-sqr_binary64_3415`
1×	`rem-log-exp_binary64_3485` `rem-exp-log_binary64_3484`

Counts

4 → 85

Calls

4 calls:

10.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 y)))))
6.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
3.0ms	(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
3.0ms	(exp.f64 (sqrt.f64 (cos.f64 y)))

series471.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

211.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (log.f64 (exp.f64 (sqrt.f64 (cos.f64 y)))))
135.0ms	(log.f64 (exp.f64 (sqrt.f64 (cos.f64 y))))
71.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
53.0ms	(exp.f64 (sqrt.f64 (cos.f64 y)))

simplify102.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4829	1008
1	4829	1008

prune74.0ms (1.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

Compiler

Compiled 1793 to 355 computations (80.2% saved)

regimes104.0ms (2.5%)

Compiler: Compiled 812 to 550 computations (32.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.5s (36.1%)

Algorithm

1×

intervals

Results

470.0ms	1307×	body	1024	valid
398.0ms	5750×	body	128	valid
129.0ms	606×	body	512	valid
48.0ms	334×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 216 to 149 computations (31% saved)

Details

analyze373.0ms (8.8%)

sample44.0ms (1%)

simplify168.0ms (4%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite14.0ms (0.3%)

series130.0ms (3.1%)

simplify61.0ms (1.4%)

prune32.0ms (0.7%)

localize12.0ms (0.3%)

rewrite17.0ms (0.4%)

series527.0ms (12.5%)

simplify76.0ms (1.8%)

prune78.0ms (1.9%)

localize12.0ms (0.3%)

rewrite25.0ms (0.6%)

series189.0ms (4.5%)

simplify70.0ms (1.7%)

prune61.0ms (1.4%)

localize17.0ms (0.4%)

rewrite29.0ms (0.7%)

series471.0ms (11.1%)

simplify102.0ms (2.4%)

prune74.0ms (1.8%)

regimes104.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (36.1%)

Profiling