Details

Time bar (total: 4.6s)

analyze285.0ms (6.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample39.0ms (0.8%)

Algorithm
intervals
Results
10.0ms102×body256valid
9.0ms294×pre128true
8.0ms154×body128valid
2.0ms38×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify374.0ms (8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (280.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 43.7b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.3b
(*.f64 (*.f64 3 a) c)
39.2b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite38.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_2146
14×add-exp-log_binary64_2162 *-un-lft-identity_binary64_2124 add-cbrt-cube_binary64_2160
pow1_binary64_2185
add-log-exp_binary64_2163 add-cube-cbrt_binary64_2159
difference-of-squares_binary64_2093 associate-/l*_binary64_2069 times-frac_binary64_2130
cancel-sign-sub-inv_binary64_2090 prod-exp_binary64_2173 cbrt-unprod_binary64_2157
flip--_binary64_2099 pow-prod-down_binary64_2195 flip3--_binary64_2128 distribute-lft-out--_binary64_2076 sqrt-prod_binary64_2140 associate-*r*_binary64_2064
cbrt-undiv_binary64_2158 diff-log_binary64_2216 sub-neg_binary64_2117 associate-/l/_binary64_2071 div-exp_binary64_2175
clear-num_binary64_2123 *-commutative_binary64_2055 associate-/r*_binary64_2068 associate-*l*_binary64_2065 div-sub_binary64_2129 div-inv_binary64_2121 frac-2neg_binary64_2135
Counts
4 → 77
Calls

4 calls:

12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series241.0ms (5.2%)

Counts
4 → 12
Calls

4 calls:

121.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
67.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
34.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
19.0ms
(*.f64 (*.f64 3 a) c)

simplify62.0ms (1.3%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051801823

prune136.0ms (2.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 5.4b

Counts
90 → 12
Compiler

Compiled 2351 to 1424 computations (39.4% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune20.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01111
Picked011
Done000
Total01212

Merged error: 5.4b

Counts
12 → 12
Compiler

Compiled 370 to 257 computations (30.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 a c) b)
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite26.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
17×prod-exp_binary64_2173 cbrt-unprod_binary64_2157
16×cbrt-undiv_binary64_2158 div-exp_binary64_2175
10×add-sqr-sqrt_binary64_2146
add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
associate-*r*_binary64_2064 times-frac_binary64_2130
pow1_binary64_2185
associate-/r*_binary64_2068
add-log-exp_binary64_2163 associate-*l*_binary64_2065 div-inv_binary64_2121
clear-num_binary64_2123 associate-/l*_binary64_2069 associate-*r/_binary64_2066 frac-2neg_binary64_2135
pow-prod-down_binary64_2195 unswap-sqr_binary64_2092 *-commutative_binary64_2055 associate-/l/_binary64_2071
Counts
3 → 78
Calls

3 calls:

9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
4.0ms
(/.f64 (*.f64 a c) b)

series71.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

26.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
23.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
22.0ms
(/.f64 (*.f64 a c) b)

simplify56.0ms (1.2%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04962874
14962874

prune97.0ms (2.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New761187
Fresh01010
Picked101
Done011
Total772299

Merged error: 5.4b

Counts
99 → 22
Compiler

Compiled 1609 to 930 computations (42.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
0.3b
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))

rewrite47.0ms (1%)

Algorithm
rewrite-expression-head
Rules
40×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
14×prod-exp_binary64_2173 cbrt-unprod_binary64_2157
11×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
10×cbrt-undiv_binary64_2158 associate-*r*_binary64_2064 times-frac_binary64_2130 div-exp_binary64_2175
pow1_binary64_2185
sqrt-div_binary64_2141
sqrt-prod_binary64_2140 associate-/r*_binary64_2068
associate-*r/_binary64_2066
add-log-exp_binary64_2163 div-inv_binary64_2121
pow-prod-down_binary64_2195 clear-num_binary64_2123 associate-/l*_binary64_2069 associate-/l/_binary64_2071 frac-2neg_binary64_2135
associate-*l/_binary64_2067 frac-times_binary64_2134
*-commutative_binary64_2055 associate-*l*_binary64_2065
Counts
4 → 98
Calls

4 calls:

17.0ms
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))
13.0ms
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
5.0ms
(/.f64 (*.f64 a c) b)
4.0ms
(/.f64 (*.f64 a c) b)

series163.0ms (3.5%)

Counts
4 → 12
Calls

4 calls:

66.0ms
(*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b)))
53.0ms
(/.f64 (*.f64 (*.f64 -3/2 (sqrt.f64 (/.f64 (*.f64 a c) b))) (sqrt.f64 (/.f64 (*.f64 a c) b))) (*.f64 3 a))
26.0ms
(/.f64 (*.f64 a c) b)
19.0ms
(/.f64 (*.f64 a c) b)

simplify75.0ms (1.6%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049511261
149511261

prune87.0ms (1.9%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1055110
Fresh21820
Picked101
Done011
Total10824132

Merged error: 5.3b

Counts
132 → 24
Compiler

Compiled 1997 to 804 computations (59.7% saved)

regimes630.0ms (13.6%)

Compiler

Compiled 6011 to 4511 computations (25% saved)

bsearch5.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample2.2s (46.3%)

Algorithm
intervals
Results
300.0ms8895×pre128true
297.0ms2998×body256valid
255.0ms5001×body128valid
45.0ms895×body128nan
0.0msbody512valid
Compiler

Compiled 1277 to 952 computations (25.5% saved)

Profiling

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