Details

analyze1.5s (19.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
24.9%	74.7%	0.4%	8
24.9%	74.7%	0.4%	9
24.9%	74.7%	0.4%	10
25.7%	73.9%	0.4%	11
25.7%	73.9%	0.4%	12
25.7%	73.9%	0.4%	13
25.7%	73.9%	0.4%	14

Compiler

Compiled 32 to 29 computations (9.4% saved)

sample39.0ms (0.5%)

Algorithm

1×

intervals

Results

22.0ms

256×

body

128

valid

Compiler

Compiled 63 to 66 computations (-4.8% saved)

simplify183.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4969	44
1	4969	44

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 58 to 52 computations (10.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

rewrite71.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64_2124`
75×	`times-frac_binary64_2130`
70×	`add-sqr-sqrt_binary64_2146`
48×	`add-cube-cbrt_binary64_2159`
45×	`distribute-lft-out--_binary64_2076`
25×	`distribute-lft-out_binary64_2075` `exp-prod_binary64_2176`
17×	`associate-/l*_binary64_2069`
11×	`difference-of-squares_binary64_2093`
10×	`associate-/r*_binary64_2068` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
5×	`add-log-exp_binary64_2163`
4×	`pow1_binary64_2185` `div-inv_binary64_2121` `associate-/l/_binary64_2071`
3×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `div-sub_binary64_2129` `div-exp_binary64_2175` `frac-2neg_binary64_2135`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `associate-/r/_binary64_2070`
1×	`exp-diff_binary64_2172` `rem-exp-log_binary64_2164` `flip3-+_binary64_2127` `flip-+_binary64_2098`

Counts

4 → 159

Calls

4 calls:

15.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
14.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
12.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
12.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

series437.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
79.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
58.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
54.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5025	3667

prune208.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	169	3	172

Merged error: 0.0b

Counts

172 → 3

Compiler

Compiled 6509 to 1869 computations (71.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

rewrite77.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

166×	`*-un-lft-identity_binary64_2124`
84×	`times-frac_binary64_2130`
75×	`add-sqr-sqrt_binary64_2146` `exp-prod_binary64_2176`
51×	`distribute-lft-out--_binary64_2076`
49×	`add-cube-cbrt_binary64_2159`
27×	`distribute-lft-out_binary64_2075`
13×	`difference-of-squares_binary64_2093`
7×	`associate-/l*_binary64_2069` `add-log-exp_binary64_2163`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`pow1_binary64_2185` `div-sub_binary64_2129` `div-inv_binary64_2121`
3×	`exp-diff_binary64_2172` `associate-/r*_binary64_2068` `rem-exp-log_binary64_2164`
2×	`associate-/l/_binary64_2071`
1×	`flip--_binary64_2099` `clear-num_binary64_2123` `flip3--_binary64_2128` `cbrt-undiv_binary64_2158` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

4 → 148

Calls

4 calls:

15.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
12.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
12.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
12.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

series269.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
73.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
67.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
56.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5164	2733

prune243.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	160	3	163

Merged error: 0.0b

Counts

163 → 3

Compiler

Compiled 10011 to 1795 computations (82.1% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.0b	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
0.5b	(.f64 (/.f64 NaChar (+.f64 1 (pow.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)) 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)) (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))))
2.2b	(-.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)) (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

rewrite225.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`*-un-lft-identity_binary64_2124`
55×	`times-frac_binary64_2130`
52×	`add-sqr-sqrt_binary64_2146`
50×	`exp-prod_binary64_2176`
35×	`add-cube-cbrt_binary64_2159`
22×	`distribute-lft-out_binary64_2075`
18×	`distribute-lft-out--_binary64_2076` `associate-l_binary64_2065`
13×	`exp-diff_binary64_2172` `div-sub_binary64_2129`
9×	`associate-*r/_binary64_2066` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163`
6×	`difference-of-squares_binary64_2093` `pow1_binary64_2185`
4×	`associate-r_binary64_2064`
3×	`associate-*l/_binary64_2067` `frac-sub_binary64_2133` `flip3-+_binary64_2127` `frac-times_binary64_2134` `flip-+_binary64_2098` `div-inv_binary64_2121`
2×	`associate-/r/_binary64_2070` `unswap-sqr_binary64_2092` `sub-div_binary64_2131` `prod-exp_binary64_2173` `rem-exp-log_binary64_2164` `cbrt-unprod_binary64_2157`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `flip3--_binary64_2128` `cbrt-undiv_binary64_2158` `cancel-sign-sub-inv_binary64_2090` `*-commutative_binary64_2055` `diff-log_binary64_2216` `distribute-rgt-out--_binary64_2078` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `div-exp_binary64_2175` `distribute-lft-in_binary64_2073`

Counts

4 → 130

Calls

4 calls:

92.0ms	(.f64 (/.f64 NaChar (+.f64 1 (pow.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)) 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)) (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))))
77.0ms	(-.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)) (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
12.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
11.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

series1.8s (23%)

Counts

4 → 12

Calls

4 calls:

1.4s	(.f64 (/.f64 NaChar (+.f64 1 (pow.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)) 3))) (+.f64 (.f64 1 1) (-.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)) (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))))
217.0ms	(-.f64 (.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)) (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))) (.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))
72.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))
71.0ms	(exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5268	5224

prune314.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Merged error: 0.0b

Counts

145 → 3

Compiler

Compiled 10895 to 2977 computations (72.7% saved)

regimes321.0ms (4.2%)

Compiler: Compiled 4760 to 3488 computations (26.7% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	223	44
1	223	44

end0.0ms (0%)

sample1.7s (22.2%)

Algorithm

1×

intervals

Results

926.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 529 to 391 computations (26.1% saved)

Details

analyze1.5s (19.3%)

sample39.0ms (0.5%)

simplify183.0ms (2.4%)

prune5.0ms (0.1%)

localize20.0ms (0.3%)

rewrite71.0ms (0.9%)

series437.0ms (5.7%)

simplify83.0ms (1.1%)

prune208.0ms (2.7%)

localize25.0ms (0.3%)

rewrite77.0ms (1%)

series269.0ms (3.5%)

simplify74.0ms (1%)

prune243.0ms (3.2%)

localize36.0ms (0.5%)

rewrite225.0ms (2.9%)

series1.8s (23%)

simplify79.0ms (1%)

prune314.0ms (4.1%)

regimes321.0ms (4.2%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.7s (22.2%)

Profiling