Details

Time bar (total: 2.0s)

analyze257.0ms (12.6%)

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)

sample14.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms24×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify174.0ms (8.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
027410
127410

prune2.0ms (0.1%)

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))

rewrite19.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_101 cancel-sign-sub-inv_binary64_45
10×*-un-lft-identity_binary64_79
add-cube-cbrt_binary64_114 distribute-lft-in_binary64_28 associate-+r+_binary64_11 distribute-rgt-in_binary64_29
associate-*r*_binary64_19
add-exp-log_binary64_117 add-cbrt-cube_binary64_115 add-log-exp_binary64_118 sub-neg_binary64_72 pow1_binary64_140
associate-*l*_binary64_20
associate-*r/_binary64_21
flip-+_binary64_53 distribute-lft-out--_binary64_31 sum-log_binary64_170 +-commutative_binary64_9 flip--_binary64_54 unswap-sqr_binary64_47 cbrt-unprod_binary64_112 prod-exp_binary64_128 *-commutative_binary64_10 pow-prod-down_binary64_150 difference-of-squares_binary64_48 flip3--_binary64_83 flip3-+_binary64_82
Counts
2 → 49
Calls

2 calls:

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

series140.0ms (6.8%)

Counts
2 → 6
Calls

2 calls:

86.0ms
(*.f64 y (-.f64 z x))
53.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

simplify68.0ms (3.3%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05145584

prune39.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh000
Picked011
Done000
Total53356

Merged error: 0b

Counts
56 → 3
Compiler

Compiled 726 to 207 computations (71.5% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_118
sum-log_binary64_170 *-un-lft-identity_binary64_79
add-exp-log_binary64_117 add-cbrt-cube_binary64_115 flip-+_binary64_53 add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 +-commutative_binary64_9 distribute-rgt-neg-out_binary64_39 flip3-+_binary64_82 distribute-lft-out_binary64_30 pow1_binary64_140 unsub-neg_binary64_73
associate-+r-_binary64_13 associate-+r+_binary64_11
Counts
2 → 28
Calls

2 calls:

7.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y (neg.f64 x))))
5.0ms
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))

series119.0ms (5.8%)

Counts
2 → 6
Calls

2 calls:

66.0ms
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
53.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y (neg.f64 x))))

simplify63.0ms (3.1%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04974420
14974420

prune25.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh011
Picked011
Done011
Total34337

Merged error: 0b

Counts
37 → 3
Compiler

Compiled 473 to 139 computations (70.6% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x)))
2.1b
(-.f64 (*.f64 z z) (*.f64 x x))
10.1b
(*.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))
18.7b
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x))

rewrite39.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity_binary64_79
11×add-exp-log_binary64_117 add-cbrt-cube_binary64_115
10×add-sqr-sqrt_binary64_101
add-cube-cbrt_binary64_114 add-log-exp_binary64_118
pow1_binary64_140
associate-/r*_binary64_23 times-frac_binary64_85 associate-*r/_binary64_21 associate-*r*_binary64_19
associate-*l*_binary64_20 flip--_binary64_54 flip3--_binary64_83 cancel-sign-sub-inv_binary64_45 sub-neg_binary64_72 distribute-lft-out_binary64_30
cbrt-undiv_binary64_113 div-exp_binary64_130 flip-+_binary64_53 distribute-lft-in_binary64_28 cbrt-unprod_binary64_112 prod-exp_binary64_128 associate-/r/_binary64_25 difference-of-squares_binary64_48 associate-/l/_binary64_26 distribute-rgt-in_binary64_29 flip3-+_binary64_82
div-inv_binary64_76 sum-log_binary64_170 associate-/l*_binary64_24 +-commutative_binary64_9 unswap-sqr_binary64_47 *-commutative_binary64_10 pow-prod-down_binary64_150 diff-log_binary64_171 clear-num_binary64_78 frac-2neg_binary64_90
Counts
4 → 77
Calls

4 calls:

11.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x))
8.0ms
(*.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))
8.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x)))
4.0ms
(-.f64 (*.f64 z z) (*.f64 x x))

series423.0ms (20.7%)

Counts
4 → 12
Calls

4 calls:

161.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x))
118.0ms
(*.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))
102.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x)))
41.0ms
(-.f64 (*.f64 z z) (*.f64 x x))

simplify58.0ms (2.8%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049951253
149951253

prune55.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done022
Total89392

Merged error: 0b

Counts
92 → 3
Compiler

Compiled 1542 to 325 computations (78.9% saved)

regimes41.0ms (2%)

Compiler

Compiled 148 to 126 computations (14.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample470.0ms (23%)

Algorithm
intervals
Results
203.0ms8000×body128valid
14.0ms567×body128invalid
Compiler

Compiled 47 to 40 computations (14.9% saved)

Profiling

Loading profile data...