Details

Time bar (total: 4.1s)

analyze882.0ms (21.7%)

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
0%99.8%0.2%9
13.2%86.5%0.2%10
17%82.8%0.2%11
18.2%81.5%0.2%12
21.7%78.1%0.2%13
32.9%66.9%0.2%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms30×body80invalid
Compiler

Compiled 23 to 26 computations (-13% saved)

simplify205.0ms (5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (195.0ms)

IterNodesCost
0490216
1490216

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 12.2b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (*.f64 y z))
0.0b
(-.f64 t (*.f64 a z))
11.9b
(/.f64 (-.f64 x (*.f64 y z)) (-.f64 t (*.f64 a z)))

rewrite14.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
times-frac_binary64
add-log-exp_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 flip--_binary64
associate-/r*_binary64 pow1_binary64 associate-/l*_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 associate-/r/_binary64
cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
3 → 54
Calls

3 calls:

7.0ms
(/.f64 (-.f64 x (*.f64 y z)) (-.f64 t (*.f64 a z)))
3.0ms
(-.f64 x (*.f64 y z))
3.0ms
(-.f64 t (*.f64 a z))

series36.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

22.0ms
(/.f64 (-.f64 x (*.f64 y z)) (-.f64 t (*.f64 a z)))
7.0ms
(-.f64 x (*.f64 y z))
7.0ms
(-.f64 t (*.f64 a z))

simplify76.0ms (1.9%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
055041124

prune89.0ms (2.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New491463
Fresh000
Picked101
Done000
Total501464

Merged error: 11.8b

Counts
64 → 14
Compiler

Compiled 1393 to 369 computations (73.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 t (*.f64 z a))
0.0b
(-.f64 (/.f64 x (-.f64 t (*.f64 z a))) (/.f64 (*.f64 y z) (-.f64 t (*.f64 z a))))
2.9b
(/.f64 x (-.f64 t (*.f64 z a)))
11.7b
(/.f64 (*.f64 y z) (-.f64 t (*.f64 z a)))

rewrite32.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
16×*-un-lft-identity_binary64
14×add-cube-cbrt_binary64
13×times-frac_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 associate-/r/_binary64
associate-/r*_binary64 flip3--_binary64 flip--_binary64
pow1_binary64 associate-/l*_binary64 div-inv_binary64
distribute-rgt-out--_binary64 cbrt-undiv_binary64 div-exp_binary64
sub-neg_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64
cbrt-unprod_binary64 prod-exp_binary64 distribute-lft-out--_binary64 sub-div_binary64 frac-sub_binary64
Counts
4 → 82
Calls

4 calls:

14.0ms
(-.f64 (/.f64 x (-.f64 t (*.f64 z a))) (/.f64 (*.f64 y z) (-.f64 t (*.f64 z a))))
6.0ms
(/.f64 (*.f64 y z) (-.f64 t (*.f64 z a)))
5.0ms
(/.f64 x (-.f64 t (*.f64 z a)))
3.0ms
(-.f64 t (*.f64 z a))

series65.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

30.0ms
(-.f64 (/.f64 x (-.f64 t (*.f64 z a))) (/.f64 (*.f64 y z) (-.f64 t (*.f64 z a))))
15.0ms
(/.f64 (*.f64 y z) (-.f64 t (*.f64 z a)))
12.0ms
(/.f64 x (-.f64 t (*.f64 z a)))
7.0ms
(-.f64 t (*.f64 z a))

simplify70.0ms (1.7%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049981768
149981768

prune81.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New90494
Fresh7613
Picked101
Done000
Total9810108

Merged error: 7.2b

Counts
108 → 10
Compiler

Compiled 2407 to 453 computations (81.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 t (*.f64 z a))
2.0b
(/.f64 y (/.f64 (-.f64 t (*.f64 z a)) z))
2.9b
(/.f64 x (-.f64 t (*.f64 z a)))
8.4b
(/.f64 (-.f64 t (*.f64 z a)) z)

rewrite26.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
93×times-frac_binary64
62×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
19×associate-/r*_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
div-inv_binary64
add-log-exp_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
flip3--_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64
associate-/l/_binary64
sub-neg_binary64 diff-log_binary64 div-sub_binary64
Counts
4 → 140
Calls

4 calls:

7.0ms
(/.f64 y (/.f64 (-.f64 t (*.f64 z a)) z))
5.0ms
(/.f64 (-.f64 t (*.f64 z a)) z)
5.0ms
(/.f64 x (-.f64 t (*.f64 z a)))
3.0ms
(-.f64 t (*.f64 z a))

series46.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(/.f64 y (/.f64 (-.f64 t (*.f64 z a)) z))
13.0ms
(/.f64 x (-.f64 t (*.f64 z a)))
11.0ms
(/.f64 (-.f64 t (*.f64 z a)) z)
7.0ms
(-.f64 t (*.f64 z a))

simplify104.0ms (2.6%)

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
052342864

prune102.0ms (2.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1484152
Fresh459
Picked101
Done000
Total1539162

Merged error: 1.8b

Counts
162 → 9
Compiler

Compiled 3886 to 678 computations (82.6% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 t z) a)
0.0b
(-.f64 (/.f64 x (-.f64 t (*.f64 z a))) (/.f64 y (-.f64 (/.f64 t z) a)))
2.0b
(/.f64 y (-.f64 (/.f64 t z) a))
2.9b
(/.f64 x (-.f64 t (*.f64 z a)))

rewrite50.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt_binary64
44×*-un-lft-identity_binary64
40×times-frac_binary64
23×add-cube-cbrt_binary64
14×difference-of-squares_binary64
associate-/r*_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
pow1_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64
sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
frac-sub_binary64
Counts
4 → 103
Calls

4 calls:

26.0ms
(-.f64 (/.f64 x (-.f64 t (*.f64 z a))) (/.f64 y (-.f64 (/.f64 t z) a)))
8.0ms
(/.f64 y (-.f64 (/.f64 t z) a))
7.0ms
(-.f64 (/.f64 t z) a)
5.0ms
(/.f64 x (-.f64 t (*.f64 z a)))

series61.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

27.0ms
(-.f64 (/.f64 x (-.f64 t (*.f64 z a))) (/.f64 y (-.f64 (/.f64 t z) a)))
15.0ms
(/.f64 y (-.f64 (/.f64 t z) a))
13.0ms
(/.f64 x (-.f64 t (*.f64 z a)))
5.0ms
(-.f64 (/.f64 t z) a)

simplify90.0ms (2.2%)

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
052462239

prune52.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh088
Picked011
Done000
Total1159124

Merged error: 1.8b

Counts
124 → 9
Compiler

Compiled 2574 to 407 computations (84.2% saved)

regimes335.0ms (8.2%)

Compiler

Compiled 940 to 655 computations (30.3% saved)

bsearch42.0ms (1%)

Steps
ItersRangePoint
9
1.2538355623160013e-198
8.325342379950294e-190
1.4508809270850323e-194
11
-1.2614895117124773e-09
-1.8104003796492653e-35
-1.1630780186435354e-34
Compiler

Compiled 1 to 5 computations (-400% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08794
18794

end0.0ms (0%)

sample1.5s (37.7%)

Algorithm
intervals
Results
299.0ms8000×body80valid
30.0ms758×body80invalid
Compiler

Compiled 311 to 185 computations (40.5% saved)

Profiling

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