Details

analyze44.0ms (2.8%)

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
18.7%	81.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify13.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

prune3.0ms (0.2%)

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: 0.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `times-frac_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

1 → 25

Calls

1 calls:

7.0ms

(/.f64 (*.f64 x 100) (+.f64 x y))

series7.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(/.f64 (*.f64 x 100) (+.f64 x y))

simplify88.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5281	318

prune26.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	23	5	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

Compiler

Compiled 345 to 179 computations (48.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 100 (+.f64 x y))
0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))

rewrite17.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64` `times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `associate-/r/_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 70

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))
5.0ms	(/.f64 100 (+.f64 x y))

series15.0ms (1%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 100 (+.f64 x y))
7.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))

simplify80.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4983	875
1	4983	875

prune47.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	77	5	82

Merged error: 0b

Counts

82 → 5

Compiler

Compiled 958 to 486 computations (49.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) 100)
0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

rewrite20.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`associate-/r*_binary64`
16×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`

Counts

2 → 115

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
6.0ms	(/.f64 (+.f64 x y) 100)

series12.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
5.0ms	(/.f64 (+.f64 x y) 100)

simplify108.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	6164	2080

prune64.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

Compiler

Compiled 1740 to 813 computations (53.3% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.1b	(*.f64 (/.f64 x (+.f64 x y)) 100)

rewrite17.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64` `times-frac_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-l_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `associate-/r/_binary64`
3×	`associate-r_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 70

Calls

2 calls:

9.0ms	(*.f64 (/.f64 x (+.f64 x y)) 100)
5.0ms	(/.f64 x (+.f64 x y))

series13.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 (/.f64 x (+.f64 x y)) 100)
5.0ms	(/.f64 x (+.f64 x y))

simplify266.0ms (16.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4987	895
1	4987	895

prune33.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0b

Counts

80 → 4

Compiler

Compiled 950 to 344 computations (63.8% saved)

regimes75.0ms (4.8%)

Compiler: Compiled 111 to 101 computations (9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample586.0ms (37.2%)

Algorithm

1×

intervals

Results

181.0ms

8000×

body

valid

Compiler

Compiled 55 to 50 computations (9.1% saved)

Details

analyze44.0ms (2.8%)

sample11.0ms (0.7%)

simplify13.0ms (0.8%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

rewrite7.0ms (0.5%)

series7.0ms (0.4%)

simplify88.0ms (5.6%)

prune26.0ms (1.7%)

localize5.0ms (0.3%)

rewrite17.0ms (1.1%)

series15.0ms (1%)

simplify80.0ms (5.1%)

prune47.0ms (3%)

localize5.0ms (0.3%)

rewrite20.0ms (1.3%)

series12.0ms (0.7%)

simplify108.0ms (6.8%)

prune64.0ms (4%)

localize4.0ms (0.3%)

rewrite17.0ms (1.1%)

series13.0ms (0.8%)

simplify266.0ms (16.9%)

prune33.0ms (2.1%)

regimes75.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample586.0ms (37.2%)

Profiling