Details

analyze420.0ms (8.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4862	72
1	4862	72
0	3	3
1	3	3

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify132.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	5305	18

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

Error

2.0b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
0.4b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
8.5b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

rewrite109.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

16×	`add-sqr-sqrt_binary64_12376` `*-un-lft-identity_binary64_12354`
14×	`add-cube-cbrt_binary64_12389`
9×	`times-frac_binary64_12360`
8×	`add-log-exp_binary64_12393` `add-cbrt-cube_binary64_12390`
7×	`add-exp-log_binary64_12392`
6×	`pow1_binary64_12415`
3×	`associate-/l_binary64_12299` `associate-/r_binary64_12298` `associate-l_binary64_12295` `associate-r_binary64_12294`
2×	`flip3--_binary64_12358` `associate-/r/_binary64_12300` `flip--_binary64_12329`
1×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `div-inv_binary64_12351` `diff-log_binary64_12446` `sub-neg_binary64_12347` `cancel-sign-sub-inv_binary64_12320` `sum-log_binary64_12445` `flip3-+_binary64_12357` `flip-+_binary64_12328` `distribute-lft-out_binary64_12305` `+-commutative_binary64_12284` `pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322` `*-commutative_binary64_12285`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
8.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
6.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))

Compiler

Compiled 1547 to 746 computations (51.8% saved)

series532.0ms (10.9%)

Error

0.0b

Counts

4 → 59

Calls

4 calls:

184.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
166.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))
120.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
18.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

Compiler

Compiled 2084 to 1536 computations (26.3% saved)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5084	2185

prune108.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	3	131

Error

Counts

131 → 3

Compiler

Compiled 2121 to 1013 computations (52.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (-.f64 (/.f64 5081767996463981/4503599627370496 (/.f64 y (exp.f64 z))) x)))
0.0b	(/.f64 y (exp.f64 z))
0.1b	(/.f64 1 (-.f64 (/.f64 5081767996463981/4503599627370496 (/.f64 y (exp.f64 z))) x))
0.2b	(/.f64 5081767996463981/4503599627370496 (/.f64 y (exp.f64 z)))

rewrite226.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

117×	`times-frac_binary64_12360`
102×	`add-sqr-sqrt_binary64_12376`
77×	`*-un-lft-identity_binary64_12354`
66×	`add-cube-cbrt_binary64_12389`
23×	`associate-/r*_binary64_12298`
13×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
12×	`difference-of-squares_binary64_12323`
9×	`associate-/l*_binary64_12299`
8×	`div-inv_binary64_12351`
6×	`div-exp_binary64_12405` `add-log-exp_binary64_12393`
5×	`pow1_binary64_12415` `cbrt-undiv_binary64_12388`
4×	`distribute-lft-out--_binary64_12306`
3×	`frac-2neg_binary64_12365` `clear-num_binary64_12353` `associate-/r/_binary64_12300`
2×	`distribute-lft-out_binary64_12305`
1×	`inv-pow_binary64_12439` `pow-flip_binary64_12428` `1-exp_binary64_12398` `rec-exp_binary64_12404` `flip3--_binary64_12358` `flip--_binary64_12329` `sum-log_binary64_12445` `flip3-+_binary64_12357` `flip-+_binary64_12328` `+-commutative_binary64_12284`

Counts

4 → 159

Calls

4 calls:

24.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 5081767996463981/4503599627370496 (/.f64 y (exp.f64 z))) x)))
22.0ms	(/.f64 1 (-.f64 (/.f64 5081767996463981/4503599627370496 (/.f64 y (exp.f64 z))) x))
7.0ms	(/.f64 5081767996463981/4503599627370496 (/.f64 y (exp.f64 z)))
4.0ms	(/.f64 y (exp.f64 z))

Compiler

Compiled 3534 to 1829 computations (48.2% saved)

series541.0ms (11.1%)

Error

Counts

4 → 53

Calls

4 calls:

192.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 5081767996463981/4503599627370496 (/.f64 y (exp.f64 z))) x)))
164.0ms	(/.f64 1 (-.f64 (/.f64 5081767996463981/4503599627370496 (/.f64 y (exp.f64 z))) x))
74.0ms	(/.f64 5081767996463981/4503599627370496 (/.f64 y (exp.f64 z)))
71.0ms	(/.f64 y (exp.f64 z))

Compiler

Compiled 2072 to 1619 computations (21.9% saved)

simplify109.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4948	4019
1	4948	4019

prune195.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	212	3	215

Error

Counts

215 → 3

Compiler

Compiled 3939 to 2009 computations (49% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (/.f64 1 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)))))
0.4b	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))
0.9b	(/.f64 1 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)))
7.6b	(.f64 y (/.f64 1 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x))))

rewrite136.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_12376`
21×	`*-un-lft-identity_binary64_12354`
20×	`add-cube-cbrt_binary64_12389` `times-frac_binary64_12360`
17×	`add-exp-log_binary64_12392`
15×	`associate-r_binary64_12294`
11×	`add-cbrt-cube_binary64_12390`
8×	`add-log-exp_binary64_12393`
7×	`pow1_binary64_12415`
4×	`div-exp_binary64_12405` `prod-exp_binary64_12403` `associate-/r/_binary64_12300`
3×	`unswap-sqr_binary64_12322` `associate-l_binary64_12295` `flip3--_binary64_12358` `flip--_binary64_12329` `associate-/l_binary64_12299` `associate-/r_binary64_12298`
2×	`1-exp_binary64_12398` `rec-exp_binary64_12404` `cbrt-unprod_binary64_12387` `cbrt-undiv_binary64_12388` `div-inv_binary64_12351`
1×	`pow-prod-down_binary64_12425` `un-div-inv_binary64_12352` `associate-r/_binary64_12296` `-commutative_binary64_12285` `inv-pow_binary64_12439` `pow-flip_binary64_12428` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `diff-log_binary64_12446` `sub-neg_binary64_12347` `cancel-sign-sub-inv_binary64_12320` `sum-log_binary64_12445` `flip3-+_binary64_12357` `flip-+_binary64_12328` `+-commutative_binary64_12284`

Counts

4 → 94

Calls

4 calls:

11.0ms	(.f64 y (/.f64 1 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x))))
7.0ms	(/.f64 1 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)))
5.0ms	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))
3.0ms	(+.f64 x (.f64 y (/.f64 1 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)))))

Compiler

Compiled 2385 to 1313 computations (44.9% saved)

series706.0ms (14.5%)

Error

Counts

4 → 69

Calls

4 calls:

193.0ms	(+.f64 x (.f64 y (/.f64 1 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x)))))
176.0ms	(.f64 y (/.f64 1 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (*.f64 y x))))
159.0ms	(/.f64 1 (-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x)))
129.0ms	(-.f64 (.f64 (exp.f64 z) 5081767996463981/4503599627370496) (.f64 y x))

Compiler

Compiled 2767 to 2064 computations (25.4% saved)

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4956	2954
1	4956	2954

prune140.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	163	3	166

Error

Counts

166 → 3

Compiler

Compiled 2938 to 1502 computations (48.9% saved)

regimes299.0ms (6.1%)

Accuracy

Total 0.0b remaining (95.2%)

Threshold costs 0.0b (95.2%)

Compiler

Compiled 3412 to 2581 computations (24.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	18
1	23	18

end0.0ms (0%)

sample1.0s (21.1%)

Algorithm

1×

intervals

Results

301.0ms

8000×

body

128

valid

Compiler

Compiled 533 to 407 computations (23.6% saved)

Details

analyze420.0ms (8.6%)

sample19.0ms (0.4%)

simplify132.0ms (2.7%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite109.0ms (2.2%)

series532.0ms (10.9%)

simplify64.0ms (1.3%)

prune108.0ms (2.2%)

localize8.0ms (0.2%)

rewrite226.0ms (4.6%)

series541.0ms (11.1%)

simplify109.0ms (2.2%)

prune195.0ms (4%)

localize9.0ms (0.2%)

rewrite136.0ms (2.8%)

series706.0ms (14.5%)

simplify76.0ms (1.6%)

prune140.0ms (2.9%)

regimes299.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (21.1%)

Profiling