Details

Time bar (total: 1.6s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
50%50%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample30.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify136.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (133.0ms)

IterNodesCost
0518027

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.0b
(*.f64 4 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.1b
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))
0.1b
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
146×*-un-lft-identity_binary64
74×times-frac_binary64
70×distribute-lft-out_binary64
58×add-sqr-sqrt_binary64
48×associate-*r*_binary64 add-cube-cbrt_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64
12×associate-/r*_binary64
pow1_binary64 associate-/r/_binary64
associate-*l*_binary64 associate-/l*_binary64
flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-exp_binary64 flip-+_binary64
pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
4 → 168
Calls
4 calls:
19.0ms
(*.f64 4 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t)))))
16.0ms
(*.f64 4 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t)))))
11.0ms
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))
11.0ms
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))

series14.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(*.f64 4 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t)))))
3.0ms
(*.f64 4 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t)))))
3.0ms
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))
3.0ms
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))

simplify41.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050052130

prune210.0ms

Filtered
112 candidates to 180 candidates (-60.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1791180
Fresh000
Picked101
Done000
Total1801181

Merged error: 0.0b

Counts
181 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.1b
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))
0.1b
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))
1.4b
(log.f64 (exp.f64 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
146×*-un-lft-identity_binary64
73×times-frac_binary64
70×distribute-lft-out_binary64
53×add-sqr-sqrt_binary64
48×add-cube-cbrt_binary64
25×log-pow_binary64
24×associate-*r*_binary64 exp-prod_binary64
18×div-inv_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
12×associate-/r*_binary64
associate-/r/_binary64
pow1_binary64
associate-/l*_binary64
flip3-+_binary64 add-log-exp_binary64 flip-+_binary64
log-prod_binary64 cbrt-undiv_binary64 associate-*l*_binary64 div-exp_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64
pow-prod-down_binary64 rem-log-exp_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
4 → 161
Calls
4 calls:
15.0ms
(*.f64 4 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t)))))
10.0ms
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))
13.0ms
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))
13.0ms
(log.f64 (exp.f64 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))))

series15.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(*.f64 4 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t)))))
4.0ms
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))
3.0ms
(/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))
4.0ms
(log.f64 (exp.f64 (/.f64 t (+.f64 2 (+.f64 t (/.f64 1 t))))))

simplify42.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
051212002

prune213.0ms

Filtered
108 candidates to 173 candidates (-60.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1730173
Fresh000
Picked011
Done000
Total1731174

Merged error: 0.0b

Counts
174 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02229
12229

end0.0ms

sample703.0ms

Algorithm
intervals
Results
614.0ms8000×body80valid

Profiling

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