Details

Time bar (total: 11.0s)

analyze106.0ms (1%)

Algorithm
1×search
Search
TrueOtherFalseIter
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%50%50%4
0%50%50%5
12.5%37.5%50%6
18.7%31.2%50%7
28.1%21.9%50%8
32.8%17.2%50%9
38.2%11.7%50%10
41%9%50%11
43.9%6%50%12
45.4%4.6%50%13
46.9%3.1%50%14
Compiler

Compiled 29 to 22 computations (24.1% saved)

sample27.0ms (0.2%)

Algorithm
1×intervals
Results
16.0ms256×body128valid
Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify136.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0499040
1499040

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.5b

Counts
2 → 1
Compiler

Compiled 54 to 41 computations (24.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 5 (*.f64 v v))
0.2b
(*.f64 PI.f64 t)
0.3b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.5b
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))

rewrite46.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
30×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
18×associate-*r/_binary64_2066
16×pow1_binary64_2185
13×prod-exp_binary64_2173 add-sqr-sqrt_binary64_2146 cbrt-unprod_binary64_2157
10×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
8×flip--_binary64_2099 flip3--_binary64_2128 associate-/r/_binary64_2070 sqrt-div_binary64_2141 associate-*r*_binary64_2064
7×pow-prod-down_binary64_2195 associate-*l*_binary64_2065
4×cbrt-undiv_binary64_2158 add-log-exp_binary64_2163 frac-times_binary64_2134 div-exp_binary64_2175
3×associate-/l*_binary64_2069 *-commutative_binary64_2055 times-frac_binary64_2130
2×unswap-sqr_binary64_2092 associate-*l/_binary64_2067 associate-/l/_binary64_2071
1×clear-num_binary64_2123 sqrt-prod_binary64_2140 associate-/r*_binary64_2068 div-sub_binary64_2129 div-inv_binary64_2121 frac-2neg_binary64_2135
Counts
4 → 94
Calls

4 calls:

17.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
10.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
5.0ms
(*.f64 5 (*.f64 v v))
4.0ms
(*.f64 PI.f64 t)

series288.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

167.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (-.f64 1 (*.f64 v v))))
89.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
19.0ms
(*.f64 5 (*.f64 v v))
13.0ms
(*.f64 PI.f64 t)

simplify58.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
051792803

prune198.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9511106
Fresh000
Picked101
Done000
Total9611107

Merged error: 0.1b

Counts
107 → 11
Compiler

Compiled 4210 to 2618 computations (37.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 v v) 5)
0.2b
(*.f64 PI.f64 t)
0.3b
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5))) (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))))
0.5b
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))

rewrite44.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
25×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
16×pow1_binary64_2185
15×add-sqr-sqrt_binary64_2146
12×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
10×prod-exp_binary64_2173 associate-*r*_binary64_2064 cbrt-unprod_binary64_2157
8×associate-*r/_binary64_2066
7×pow-prod-down_binary64_2195 sqrt-prod_binary64_2140
6×associate-/l*_binary64_2069 sqrt-div_binary64_2141 times-frac_binary64_2130
5×associate-*l*_binary64_2065
4×add-log-exp_binary64_2163
3×flip--_binary64_2099 flip3--_binary64_2128 cbrt-undiv_binary64_2158 *-commutative_binary64_2055 div-exp_binary64_2175
2×associate-/r/_binary64_2070 unswap-sqr_binary64_2092 associate-/l/_binary64_2071
1×clear-num_binary64_2123 associate-/r*_binary64_2068 div-inv_binary64_2121 frac-2neg_binary64_2135
Counts
4 → 91
Calls

4 calls:

14.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5))) (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))))
10.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
6.0ms
(*.f64 (*.f64 v v) 5)
4.0ms
(*.f64 PI.f64 t)

series255.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

134.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5))) (*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v)))))))
91.0ms
(*.f64 (*.f64 PI.f64 t) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
17.0ms
(*.f64 (*.f64 v v) 5)
14.0ms
(*.f64 PI.f64 t)

simplify77.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049522372
149522372

prune228.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh1910
Picked011
Done000
Total10311114

Merged error: 0.0b

Counts
114 → 11
Compiler

Compiled 4984 to 3170 computations (36.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 v v) 5)
0.2b
(*.f64 PI.f64 t)
0.3b
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5))) (*.f64 PI.f64 t))
0.5b
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5))) (*.f64 PI.f64 t)) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))

rewrite51.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
76×times-frac_binary64_2130
40×add-sqr-sqrt_binary64_2146
37×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
32×sqrt-prod_binary64_2140
25×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
16×associate-/l*_binary64_2069
11×pow1_binary64_2185
7×cbrt-undiv_binary64_2158 div-inv_binary64_2121 div-exp_binary64_2175
6×prod-exp_binary64_2173 associate-*r*_binary64_2064 cbrt-unprod_binary64_2157
5×associate-/r*_binary64_2068
4×pow-prod-down_binary64_2195 sqrt-div_binary64_2141 add-log-exp_binary64_2163 associate-*l*_binary64_2065
3×associate-/l/_binary64_2071
2×flip--_binary64_2099 clear-num_binary64_2123 flip3--_binary64_2128 associate-/r/_binary64_2070 unswap-sqr_binary64_2092 *-commutative_binary64_2055 associate-*r/_binary64_2066 frac-2neg_binary64_2135
Counts
4 → 139
Calls

4 calls:

14.0ms
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5))) (*.f64 PI.f64 t)) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
9.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5))) (*.f64 PI.f64 t))
6.0ms
(*.f64 (*.f64 v v) 5)
4.0ms
(*.f64 PI.f64 t)

series237.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

144.0ms
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5))) (*.f64 PI.f64 t)) (sqrt.f64 (*.f64 2 (-.f64 1 (*.f64 3 (*.f64 v v))))))
63.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5))) (*.f64 PI.f64 t))
16.0ms
(*.f64 (*.f64 v v) 5)
13.0ms
(*.f64 PI.f64 t)

simplify85.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049505134
149505134

prune415.0ms (3.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1465151
Fresh819
Picked011
Done101
Total1557162

Merged error: 0b

Counts
162 → 7
Compiler

Compiled 7553 to 4864 computations (35.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 v v) 5)
0.1b
(*.f64 (*.f64 v v) 5)
0.1b
(*.f64 (*.f64 v v) 5)
0.3b
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)))) PI.f64) (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)))) t) (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 3)))))

rewrite676.0ms (6.2%)

Algorithm
1×rewrite-expression-head
Rules
948×times-frac_binary64_2130
778×add-sqr-sqrt_binary64_2146
690×sqrt-prod_binary64_2140
361×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
201×associate-*r*_binary64_2064
193×associate-*l*_binary64_2065
84×unswap-sqr_binary64_2092
55×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
21×pow1_binary64_2185
18×cbrt-undiv_binary64_2158 prod-exp_binary64_2173 div-exp_binary64_2175 cbrt-unprod_binary64_2157
14×div-inv_binary64_2121
10×pow-prod-down_binary64_2195
4×*-commutative_binary64_2055 add-log-exp_binary64_2163
2×associate-/r/_binary64_2070 sqrt-div_binary64_2141
1×flip--_binary64_2099 flip3--_binary64_2128 associate-*l/_binary64_2067 associate-*r/_binary64_2066 frac-times_binary64_2134
Counts
4 → 550
Calls

4 calls:

511.0ms
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)))) PI.f64) (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)))) t) (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 3)))))
6.0ms
(*.f64 (*.f64 v v) 5)
6.0ms
(*.f64 (*.f64 v v) 5)
6.0ms
(*.f64 (*.f64 v v) 5)

series201.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

149.0ms
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)))) PI.f64) (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)))) t) (sqrt.f64 (-.f64 1 (*.f64 (*.f64 v v) 3)))))
18.0ms
(*.f64 (*.f64 v v) 5)
17.0ms
(*.f64 (*.f64 v v) 5)
16.0ms
(*.f64 (*.f64 v v) 5)

simplify332.0ms (3%)

Algorithm
1×egg-herbie
Counts
562 → 562
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
0496635019
1496635019

prune3.7s (34%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New5620562
Fresh055
Picked011
Done011
Total5627569

Merged error: 0b

Counts
569 → 7
Compiler

Compiled 40301 to 27140 computations (32.7% saved)

regimes1.1s (9.9%)

Compiler

Compiled 16490 to 12001 computations (27.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08379
18379

end0.0ms (0%)

sample2.6s (23.8%)

Algorithm
1×intervals
Results
501.0ms8000×body128valid
0.0ms8×body128nan
Compiler

Compiled 3022 to 2203 computations (27.1% saved)

Profiling

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