Details

analyze330.0ms (7.1%)

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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample48.0ms (1%)

Algorithm

1×

intervals

Results

21.0ms	100×	body	5120	exit
10.0ms	201×	body	80	valid
3.0ms	25×	body	320	valid
2.0ms	13×	body	640	valid
1.0ms	17×	body	160	valid
0.0ms	4×	body	80	invalid
0.0ms	1×	body	80	overflowed

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify145.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4946	18
1	4946	18

prune4.0ms (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: 12.4b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
0.0b	(/.f64 x (exp.f64 wj))
4.3b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite52.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
9×	`associate-/l*_binary64`
8×	`distribute-lft-out_binary64`
7×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
3×	`pow1_binary64` `insert-posit16`
2×	`flip3-+_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-+r-_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 94

Calls

3 calls:

26.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
16.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
5.0ms	(/.f64 x (exp.f64 wj))

series248.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

92.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
85.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
71.0ms	(/.f64 x (exp.f64 wj))

simplify130.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5064	2140

prune109.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	102	3	105

Merged error: 0.2b

Counts

105 → 3

Compiler

Compiled 2071 to 840 computations (59.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))
0.0b	(.f64 wj (+.f64 wj (.f64 x -2)))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `insert-posit16` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

9.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))
4.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))

series116.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))
56.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))

simplify141.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4976	625
1	4976	625

prune40.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Merged error: 0.2b

Counts

46 → 6

Compiler

Compiled 708 to 434 computations (38.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (cbrt.f64 (pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3)))
0.0b	(.f64 wj (+.f64 wj (.f64 x -2)))
0.3b	(pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3)
24.2b	(cbrt.f64 (pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `insert-posit16` `flip-+_binary64`
3×	`pow-unpow_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

7.0ms	(pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3)
7.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))
6.0ms	(+.f64 x (cbrt.f64 (pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3)))
3.0ms	(cbrt.f64 (pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3))

series304.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3)
87.0ms	(cbrt.f64 (pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3))
68.0ms	(+.f64 x (cbrt.f64 (pow.f64 (.f64 wj (+.f64 wj (.f64 x -2))) 3)))
62.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))

simplify113.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5029	1460

prune93.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	93	6	99

Merged error: 0.2b

Counts

99 → 6

Compiler

Compiled 1656 to 1108 computations (33.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (*.f64 wj wj) 1))
0.0b	(.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1))
0.0b	(/.f64 x (exp.f64 wj))
4.3b	(+.f64 wj (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1)))

rewrite76.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

127×	`add-sqr-sqrt_binary64`
95×	`times-frac_binary64`
82×	`*-un-lft-identity_binary64`
54×	`difference-of-squares_binary64`
42×	`associate-l_binary64`
40×	`add-cube-cbrt_binary64`
14×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
13×	`add-cbrt-cube_binary64`
12×	`add-exp-log_binary64`
9×	`associate-/r_binary64` `associate-/l_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`sub-neg_binary64` `associate-/r/_binary64` `insert-posit16`
3×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 180

Calls

4 calls:

32.0ms	(.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1))
21.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (*.f64 wj wj) 1))
7.0ms	(+.f64 wj (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1)))
5.0ms	(/.f64 x (exp.f64 wj))

series519.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(+.f64 wj (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1)))
152.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (*.f64 wj wj) 1))
145.0ms	(.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1))
66.0ms	(/.f64 x (exp.f64 wj))

simplify102.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4981	4377
1	4981	4377

prune196.0ms (4.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	192	6	198

Merged error: 0.2b

Counts

198 → 6

Compiler

Compiled 4905 to 1986 computations (59.5% saved)

regimes38.0ms (0.8%)

Compiler: Compiled 214 to 158 computations (26.2% saved)

bsearch14.0ms (0.3%)

Steps

Iters	Range		Point
5	4.403018027721183e-09	9.349735437107421e-09	6.089311460704775e-09

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	53	46
1	53	46

end0.0ms (0%)

sample1.7s (37.3%)

Algorithm

1×

intervals

Results

842.0ms	3931×	body	5120	exit
233.0ms	6165×	body	80	valid
91.0ms	809×	body	320	valid
77.0ms	466×	body	640	valid
43.0ms	560×	body	160	valid
4.0ms	79×	body	80	invalid
0.0ms	7×	body	80	overflowed

Compiler

Compiled 170 to 118 computations (30.6% saved)

Details

analyze330.0ms (7.1%)

sample48.0ms (1%)

simplify145.0ms (3.1%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite52.0ms (1.1%)

series248.0ms (5.4%)

simplify130.0ms (2.8%)

prune109.0ms (2.4%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series116.0ms (2.5%)

simplify141.0ms (3.1%)

prune40.0ms (0.9%)

localize9.0ms (0.2%)

rewrite27.0ms (0.6%)

series304.0ms (6.6%)

simplify113.0ms (2.4%)

prune93.0ms (2%)

localize12.0ms (0.3%)

rewrite76.0ms (1.6%)

series519.0ms (11.2%)

simplify102.0ms (2.2%)

prune196.0ms (4.2%)

regimes38.0ms (0.8%)

bsearch14.0ms (0.3%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample1.7s (37.3%)

Profiling