Details

Time bar (total: 5.1s)

analyze248.0ms (4.9%)

Algorithm
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%99.9%0.1%4
0%99.9%0.1%5
12.5%87.4%0.1%6
28.1%71.8%0.1%7
42.1%57.7%0.1%8
43.7%56.2%0.1%9
64.4%35.5%0.1%10
71.6%28.3%0.1%11
72.2%27.7%0.1%12
81.6%18.2%0.2%13
84.9%14.9%0.2%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample19.0ms (0.4%)

Algorithm
intervals
Results
11.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 25 to 20 computations (20% saved)

simplify249.0ms (4.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (153.0ms)

IterNodesCost
0494216
1494216

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.5b
Counts
2 → 2
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 v (+.f64 t1 u))
2.2b
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite48.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
223×times-frac_binary64_84
181×add-sqr-sqrt_binary64_100
174×*-un-lft-identity_binary64_78
86×add-cube-cbrt_binary64_113
38×difference-of-squares_binary64_47
25×distribute-lft-out_binary64_29
21×associate-/l*_binary64_23
19×distribute-lft-out--_binary64_30
18×associate-/r/_binary64_24
10×associate-/r*_binary64_22
add-cbrt-cube_binary64_114 div-inv_binary64_75 add-exp-log_binary64_116
flip-+_binary64_52 flip3-+_binary64_81
cbrt-undiv_binary64_112 div-exp_binary64_129
add-log-exp_binary64_117 frac-2neg_binary64_89 clear-num_binary64_77 pow1_binary64_139
flip3--_binary64_82 flip--_binary64_53 associate-/l/_binary64_25
Counts
2 → 182
Calls

2 calls:

21.0ms
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms
(/.f64 v (+.f64 t1 u))

series301.0ms (5.9%)

Counts
2 → 36
Calls

2 calls:

202.0ms
(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
99.0ms
(/.f64 v (+.f64 t1 u))
Compiler

Compiled 998 to 803 computations (19.5% saved)

simplify100.0ms (2%)

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051666092

prune212.0ms (4.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2117218
Fresh011
Picked101
Done000
Total2128220
Error
0.2b
Counts
220 → 8
Compiler

Compiled 4869 to 1631 computations (66.5% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (+.f64 t1 u))
0.6b
(cbrt.f64 v)
0.6b
(cbrt.f64 v)
0.6b
(cbrt.f64 v)

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod_binary64_109
10×*-un-lft-identity_binary64_78
add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 pow1/3_binary64_160 add-exp-log_binary64_116 pow1_binary64_139
cbrt-div_binary64_110
flip-+_binary64_52 distribute-lft-out_binary64_29 flip3-+_binary64_81
Counts
4 → 47
Calls

4 calls:

3.0ms
(cbrt.f64 (+.f64 t1 u))
1.0ms
(cbrt.f64 v)
1.0ms
(cbrt.f64 v)
1.0ms
(cbrt.f64 v)

series389.0ms (7.6%)

Counts
4 → 19
Calls

4 calls:

101.0ms
(cbrt.f64 v)
101.0ms
(cbrt.f64 v)
94.0ms
(cbrt.f64 v)
93.0ms
(cbrt.f64 (+.f64 t1 u))
Compiler

Compiled 1244 to 802 computations (35.5% saved)

simplify82.0ms (1.6%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04897528
14897528

prune74.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh077
Picked011
Done000
Total66874
Error
0.2b
Counts
74 → 8
Compiler

Compiled 2266 to 604 computations (73.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 v (+.f64 t1 u))
0.5b
(/.f64 1 (-.f64 -1 (/.f64 u t1)))
2.0b
(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite53.0ms (1%)

Algorithm
rewrite-expression-head
Rules
93×add-sqr-sqrt_binary64_100
74×times-frac_binary64_84
71×*-un-lft-identity_binary64_78
41×add-cube-cbrt_binary64_113
31×add-exp-log_binary64_116
24×associate-*r*_binary64_18
19×add-cbrt-cube_binary64_114
18×associate-*l*_binary64_19
14×difference-of-squares_binary64_47
11×div-exp_binary64_129
10×associate-/r*_binary64_22
prod-exp_binary64_127 associate-/r/_binary64_24
distribute-lft-out--_binary64_30 distribute-lft-out_binary64_29
cbrt-undiv_binary64_112 associate-/l*_binary64_23 unswap-sqr_binary64_46 pow1_binary64_139
cbrt-unprod_binary64_111 div-inv_binary64_75
add-log-exp_binary64_117 1-exp_binary64_122 rec-exp_binary64_128
flip-+_binary64_52 flip3--_binary64_82 frac-2neg_binary64_89 flip--_binary64_53 clear-num_binary64_77 flip3-+_binary64_81
*-commutative_binary64_9 inv-pow_binary64_163 un-div-inv_binary64_76 frac-times_binary64_88 pow-flip_binary64_152 associate-*l/_binary64_21 pow-prod-down_binary64_149 associate-*r/_binary64_20
Counts
3 → 151
Calls

3 calls:

25.0ms
(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
9.0ms
(/.f64 1 (-.f64 -1 (/.f64 u t1)))
5.0ms
(/.f64 v (+.f64 t1 u))

series373.0ms (7.3%)

Counts
3 → 51
Calls

3 calls:

205.0ms
(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
105.0ms
(/.f64 v (+.f64 t1 u))
63.0ms
(/.f64 1 (-.f64 -1 (/.f64 u t1)))
Compiler

Compiled 1403 to 1136 computations (19% saved)

simplify89.0ms (1.7%)

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049673387
149673387

prune165.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2020202
Fresh066
Picked011
Done011
Total2028210
Error
0.2b
Counts
210 → 8
Compiler

Compiled 3814 to 1576 computations (58.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.6b
(/.f64 1 (/.f64 (+.f64 t1 u) v))
2.2b
(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))

rewrite112.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
1056×times-frac_binary64_84
662×add-sqr-sqrt_binary64_100
650×*-un-lft-identity_binary64_78
392×add-cube-cbrt_binary64_113
108×difference-of-squares_binary64_47
75×distribute-lft-out_binary64_29
56×associate-/l*_binary64_23
54×distribute-lft-out--_binary64_30
34×div-inv_binary64_75
32×add-exp-log_binary64_116
22×associate-/r*_binary64_22
21×div-exp_binary64_129
16×add-cbrt-cube_binary64_114
10×associate-/r/_binary64_24
cbrt-undiv_binary64_112
1-exp_binary64_122 rec-exp_binary64_128
pow1_binary64_139
add-log-exp_binary64_117 frac-2neg_binary64_89 clear-num_binary64_77
inv-pow_binary64_163 flip3--_binary64_82 pow-flip_binary64_152 flip--_binary64_53 associate-/l/_binary64_25
Counts
2 → 488
Calls

2 calls:

27.0ms
(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
8.0ms
(/.f64 1 (/.f64 (+.f64 t1 u) v))

series310.0ms (6.1%)

Counts
2 → 36
Calls

2 calls:

208.0ms
(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
101.0ms
(/.f64 1 (/.f64 (+.f64 t1 u) v))
Compiler

Compiled 998 to 803 computations (19.5% saved)

simplify208.0ms (4.1%)

Algorithm
egg-herbie
Counts
524 → 524
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0509517662

prune638.0ms (12.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5240524
Fresh055
Picked011
Done022
Total5248532
Error
0.2b
Counts
532 → 8
Compiler

Compiled 13255 to 5058 computations (61.8% saved)

regimes272.0ms (5.3%)

Accuracy

Total 1.2b remaining (89.7%)

Threshold costs 0b (0%)

Compiler

Compiled 3446 to 2234 computations (35.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02716
12716

end0.0ms (0%)

sample1.1s (21.6%)

Algorithm
intervals
Results
261.0ms8000×body128valid
8.0ms250×body128invalid
Compiler

Compiled 878 to 571 computations (35% saved)

Profiling

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