Details

Time bar (total: 1.2s)

analyze703.0ms (60.8%)

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
6.2%93.6%0.2%9
6.2%82.7%11.1%10
12.5%73.7%13.8%11
15.6%59.5%25%12
17.9%53.3%28.8%13
22.4%47.2%30.4%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample25.0ms (2.1%)

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms87×body80invalid
Compiler

Compiled 27 to 27 computations (0% saved)

simplify63.0ms (5.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
070519
170519

prune5.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) (-.f64 (*.f64 z z) t)))
7.3b
(*.f64 (*.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite16.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sub-neg_binary64
add-log-exp_binary64 associate-*r*_binary64 add-sqr-sqrt_binary64
pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64
associate--r+_binary64 flip3--_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip--_binary64
diff-log_binary64 associate-*l*_binary64 difference-of-squares_binary64 *-commutative_binary64
Counts
2 → 36
Calls

2 calls:

10.0ms
(*.f64 (*.f64 y 4) (-.f64 (*.f64 z z) t))
5.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) (-.f64 (*.f64 z z) t)))

series38.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

23.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) (-.f64 (*.f64 z z) t)))
15.0ms
(*.f64 (*.f64 y 4) (-.f64 (*.f64 z z) t))

simplify51.0ms (4.4%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04957762
14957762

prune51.0ms (4.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New34842
Fresh000
Picked011
Done000
Total34943

Merged error: 2.7b

Counts
43 → 9
Compiler

Compiled 948 to 431 computations (54.5% saved)

localize12.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
0.2b
(*.f64 (*.f64 (*.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
7.3b
(sqrt.f64 (-.f64 (*.f64 z z) t))
7.3b
(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite42.0ms (3.7%)

Algorithm
rewrite-expression-head
Rules
20×pow1_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-div_binary64
16×add-sqr-sqrt_binary64 sqrt-prod_binary64
14×associate-*r*_binary64
10×*-un-lft-identity_binary64 associate-*r/_binary64 add-cube-cbrt_binary64
pow-prod-down_binary64 flip3--_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip--_binary64
add-log-exp_binary64 difference-of-squares_binary64 frac-times_binary64
pow1/2_binary64 associate-*l*_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 89
Calls

4 calls:

18.0ms
(*.f64 (*.f64 (*.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
12.0ms
(*.f64 (*.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 z z) t))
5.0ms
(sqrt.f64 (-.f64 (*.f64 z z) t))

series48.0ms (4.1%)

Counts
4 → 12
Calls

4 calls:

17.0ms
(*.f64 (*.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t)))
15.0ms
(*.f64 (*.f64 (*.f64 y 4) (sqrt.f64 (-.f64 (*.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
7.0ms
(sqrt.f64 (-.f64 (*.f64 z z) t))
7.0ms
(sqrt.f64 (-.f64 (*.f64 z z) t))

simplify88.0ms (7.6%)

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
051741705

prune5.0ms (0.5%)

Profiling

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