Details

Time bar (total: 1.5s)

analyze275.0ms (18%)

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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.2%11.6%12
61.3%24.4%14.3%13
65%19.8%15.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (1.1%)

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms12×body80invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify25.0ms (1.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
030210
130210

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y (-.f64 z x)))
0.0b
(*.f64 y (-.f64 z x))

rewrite12.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
associate-*r*_binary64
add-log-exp_binary64 sub-neg_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 associate-+r+_binary64
pow-prod-down_binary64 flip3-+_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 37
Calls

2 calls:

7.0ms
(*.f64 y (-.f64 z x))
4.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

series15.0ms (1%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(*.f64 y (-.f64 z x))
7.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

simplify90.0ms (5.9%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04951482
14951482

prune22.0ms (1.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New42143
Fresh000
Picked101
Done000
Total43144

Merged error: 0.0b

Counts
44 → 1
Compiler

Compiled 516 to 135 computations (73.8% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y (neg.f64 x))))

rewrite7.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
*-un-lft-identity_binary64 sum-log_binary64
flip3-+_binary64 pow1_binary64 associate-+r-_binary64 distribute-rgt-neg-out_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 associate-+r+_binary64 unsub-neg_binary64
Counts
1 → 15
Calls

1 calls:

6.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y (neg.f64 x))))

series8.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

8.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y (neg.f64 x))))

simplify85.0ms (5.5%)

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04964250
14964250

prune12.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2
Compiler

Compiled 247 to 63 computations (74.5% saved)

localize13.0ms (0.9%)

Local error

Found 4 expressions with local error:

3.2b
(*.f64 y (*.f64 y (*.f64 (-.f64 z x) (-.f64 z x))))
3.6b
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (-.f64 z x) (-.f64 z x)))))
10.9b
(*.f64 y (*.f64 (-.f64 z x) (-.f64 z x)))
29.9b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (-.f64 z x) (-.f64 z x))))) (-.f64 x (*.f64 y (-.f64 z x))))

rewrite47.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
28×associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
21×sub-neg_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
18×pow1_binary64
15×flip3--_binary64 add-sqr-sqrt_binary64 flip--_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64 times-frac_binary64
associate--r+_binary64 frac-times_binary64
add-log-exp_binary64 associate-*l*_binary64
associate-*l/_binary64
associate-/r*_binary64 associate-/l*_binary64
associate-/l/_binary64 associate-*r*_binary64 associate-/r/_binary64 *-commutative_binary64
diff-log_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 119
Calls

4 calls:

15.0ms
(*.f64 y (*.f64 y (*.f64 (-.f64 z x) (-.f64 z x))))
12.0ms
(*.f64 y (*.f64 (-.f64 z x) (-.f64 z x)))
8.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (-.f64 z x) (-.f64 z x))))) (-.f64 x (*.f64 y (-.f64 z x))))
6.0ms
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (-.f64 z x) (-.f64 z x)))))

series95.0ms (6.3%)

Counts
4 → 12
Calls

4 calls:

49.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (-.f64 z x) (-.f64 z x))))) (-.f64 x (*.f64 y (-.f64 z x))))
26.0ms
(-.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 (-.f64 z x) (-.f64 z x)))))
11.0ms
(*.f64 y (*.f64 y (*.f64 (-.f64 z x) (-.f64 z x))))
10.0ms
(*.f64 y (*.f64 (-.f64 z x) (-.f64 z x)))

simplify66.0ms (4.3%)

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
055193264

prune63.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done011
Total1312133

Merged error: 0.0b

Counts
133 → 2
Compiler

Compiled 4047 to 646 computations (84% saved)

regimes85.0ms (5.6%)

Compiler

Compiled 105 to 78 computations (25.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03713
13713

end0.0ms (0%)

sample570.0ms (37.4%)

Algorithm
intervals
Results
179.0ms8000×body80valid
12.0ms556×body80invalid
Compiler

Compiled 50 to 37 computations (26% saved)

Profiling

Loading profile data...