Details

Time bar (total: 1.4s)

analyze920.0ms (63.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
3.1%71.7%25.1%9
4.7%69.8%25.5%10
7%66.9%26.1%11
10.9%61.5%27.6%12
11.1%47%41.9%13
12.8%44.4%42.8%14
Compiler

Compiled 20 to 20 computations (0% saved)

sample52.0ms (3.6%)

Algorithm
intervals
Results
18.0ms304×body80nan
16.0ms256×body80valid
Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify283.0ms (19.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (273.0ms)

IterNodesCost
0515920

prune9.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 2
Compiler

Compiled 45 to 45 computations (0% saved)

localize13.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z)))
1.0b
(*.f64 1/3 (acos.f64 (*.f64 x (*.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))))
3.2b
(/.f64 (sqrt.f64 t) (*.f64 y z))
6.7b
(*.f64 x (*.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))

rewrite31.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64 add-cbrt-cube_binary64
19×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
14×cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
13×pow1_binary64
12×times-frac_binary64
associate-*l*_binary64 sqrt-prod_binary64
cbrt-undiv_binary64 associate-/l*_binary64 div-exp_binary64
pow-prod-down_binary64
add-log-exp_binary64
associate-*r/_binary64 *-commutative_binary64
unswap-sqr_binary64 div-inv_binary64
associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 98
Calls

4 calls:

10.0ms
(*.f64 x (*.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))
9.0ms
(*.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z)))
6.0ms
(/.f64 (sqrt.f64 t) (*.f64 y z))
4.0ms
(*.f64 1/3 (acos.f64 (*.f64 x (*.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))))

series54.0ms (3.7%)

Counts
4 → 12
Calls

4 calls:

25.0ms
(*.f64 x (*.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))
12.0ms
(*.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z)))
9.0ms
(/.f64 (sqrt.f64 t) (*.f64 y z))
8.0ms
(*.f64 1/3 (acos.f64 (*.f64 x (*.f64 1/18 (/.f64 (sqrt.f64 t) (*.f64 y z))))))

simplify73.0ms (5.1%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050141810

prune7.0ms (0.5%)

Profiling

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