Details

analyze101.0ms (4.4%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample54.0ms (2.4%)

Algorithm

1×

intervals

Results

20.0ms	184×	body	80	valid
12.0ms	28×	body	1280	valid
7.0ms	25×	body	640	valid
2.0ms	9×	body	160	valid
2.0ms	10×	body	320	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify13.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

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 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

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

series16.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

simplify85.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5078	782

prune50.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

Compiler

Compiled 805 to 221 computations (72.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
14×	`associate-r_binary64`
13×	`prod-exp_binary64`
12×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64` `times-frac_binary64`
9×	`pow1_binary64`
7×	`cbrt-unprod_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `associate-*r/_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `un-div-inv_binary64` `*-commutative_binary64`
1×	`div-inv_binary64`

Counts

2 → 60

Calls

2 calls:

8.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
8.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

series14.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
4.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

simplify79.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5115	663

prune35.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

Compiler

Compiled 751 to 280 computations (62.7% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 y)

series63.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 (sin.f64 y))
16.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 (sin.f64 y))
15.0ms	(cbrt.f64 (sin.f64 y))

simplify75.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5000	463

prune32.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

Compiler

Compiled 1481 to 293 computations (80.2% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))

rewrite14.0ms (0.6%)

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 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series68.0ms (3%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
17.0ms	(cbrt.f64 (sin.f64 y))
15.0ms	(cbrt.f64 (sin.f64 y))
15.0ms	(cbrt.f64 (sin.f64 y))

simplify76.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4967	797
1	4967	797

prune39.0ms (1.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

Compiler

Compiled 1527 to 409 computations (73.2% saved)

regimes116.0ms (5.1%)

Compiler: Compiled 328 to 226 computations (31.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.3s (56%)

Algorithm

1×

intervals

Results

274.0ms	988×	body	1280	valid
229.0ms	5162×	body	80	valid
167.0ms	960×	body	640	valid
72.0ms	582×	body	320	valid
27.0ms	308×	body	160	valid

Compiler

Compiled 89 to 63 computations (29.2% saved)

Details

analyze101.0ms (4.4%)

sample54.0ms (2.4%)

simplify13.0ms (0.6%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite13.0ms (0.6%)

series16.0ms (0.7%)

simplify85.0ms (3.7%)

prune50.0ms (2.2%)

localize6.0ms (0.3%)

rewrite19.0ms (0.8%)

series14.0ms (0.6%)

simplify79.0ms (3.4%)

prune35.0ms (1.5%)

localize13.0ms (0.6%)

rewrite7.0ms (0.3%)

series63.0ms (2.7%)

simplify75.0ms (3.3%)

prune32.0ms (1.4%)

localize9.0ms (0.4%)

rewrite14.0ms (0.6%)

series68.0ms (3%)

simplify76.0ms (3.3%)

prune39.0ms (1.7%)

regimes116.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (56%)

Profiling