Details

Time bar (total: 2.9s)

analyze342.0ms (11.9%)

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
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56%4%10
47.3%48.7%4%11
48.4%45.8%5.8%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms20×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify248.0ms (8.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (153.0ms)

IterNodesCost
0490710
1490710

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.7b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
13.0b
(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_12049 add-exp-log_binary64_12051
add-sqr-sqrt_binary64_12035 *-un-lft-identity_binary64_12013
add-cube-cbrt_binary64_12048
pow1_binary64_12074 associate-*r*_binary64_11953 associate-*r/_binary64_11955
times-frac_binary64_12019 associate-/r*_binary64_11957 associate-*l*_binary64_11954
flip3-+_binary64_12016 add-log-exp_binary64_12052 div-exp_binary64_12064 flip-+_binary64_11987 cbrt-undiv_binary64_12047 cbrt-unprod_binary64_12046 prod-exp_binary64_12062 associate-/l/_binary64_11960
distribute-lft-out_binary64_11964 distribute-lft-in_binary64_11962 *-commutative_binary64_11944 clear-num_binary64_12012 unswap-sqr_binary64_11981 div-inv_binary64_12010 pow-prod-down_binary64_12084 frac-2neg_binary64_12024 associate-/l*_binary64_11958 distribute-rgt-in_binary64_11963
Counts
2 → 46
Calls

2 calls:

7.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
7.0ms
(*.f64 x (+.f64 y z))

series70.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

41.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
29.0ms
(*.f64 x (+.f64 y z))

simplify75.0ms (2.6%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04981553
14981553

prune41.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh000
Picked011
Done000
Total48553
Error
0.0b
Counts
53 → 5
Compiler

Compiled 607 to 176 computations (71% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 z (+.f64 y z))
2.1b
(/.f64 x (/.f64 z (+.f64 y z)))

rewrite27.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
114×times-frac_binary64_12019
94×*-un-lft-identity_binary64_12013
62×add-sqr-sqrt_binary64_12035 add-cube-cbrt_binary64_12048
22×associate-/r*_binary64_11957
16×distribute-lft-out_binary64_11964
11×associate-/r/_binary64_11959
add-cbrt-cube_binary64_12049 add-exp-log_binary64_12051
div-inv_binary64_12010 associate-/l*_binary64_11958
flip3-+_binary64_12016 flip-+_binary64_11987
div-exp_binary64_12064 cbrt-undiv_binary64_12047
add-log-exp_binary64_12052 clear-num_binary64_12012 pow1_binary64_12074 frac-2neg_binary64_12024
Counts
2 → 123
Calls

2 calls:

11.0ms
(/.f64 x (/.f64 z (+.f64 y z)))
5.0ms
(/.f64 z (+.f64 y z))

series69.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

43.0ms
(/.f64 x (/.f64 z (+.f64 y z)))
25.0ms
(/.f64 z (+.f64 y z))

simplify77.0ms (2.7%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049582386
149582386

prune88.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1272129
Fresh123
Picked011
Done011
Total1286134
Error
0b
Counts
134 → 6
Compiler

Compiled 1984 to 396 computations (80% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 y z) z)
2.4b
(*.f64 x (/.f64 (+.f64 y z) z))

rewrite21.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64_12013
25×times-frac_binary64_12019 add-sqr-sqrt_binary64_12035
20×add-cube-cbrt_binary64_12048
16×associate-*r*_binary64_11953
add-cbrt-cube_binary64_12049 add-exp-log_binary64_12051
distribute-lft-out_binary64_11964
pow1_binary64_12074 associate-/l*_binary64_11958
associate-/r*_binary64_11957 associate-*l*_binary64_11954
add-log-exp_binary64_12052 div-exp_binary64_12064 unswap-sqr_binary64_11981 div-inv_binary64_12010 cbrt-undiv_binary64_12047 cbrt-unprod_binary64_12046 prod-exp_binary64_12062 associate-/l/_binary64_11960
flip3-+_binary64_12016 *-commutative_binary64_11944 clear-num_binary64_12012 pow-prod-down_binary64_12084 flip-+_binary64_11987 frac-2neg_binary64_12024 associate-*r/_binary64_11955
Counts
2 → 68
Calls

2 calls:

10.0ms
(*.f64 x (/.f64 (+.f64 y z) z))
6.0ms
(/.f64 (+.f64 y z) z)

series57.0ms (2%)

Counts
2 → 6
Calls

2 calls:

40.0ms
(*.f64 x (/.f64 (+.f64 y z) z))
17.0ms
(/.f64 (+.f64 y z) z)

simplify185.0ms (6.4%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05033932

prune41.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done022
Total74680
Error
0b
Counts
80 → 6
Compiler

Compiled 971 to 235 computations (75.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 z (+.f64 z y))
0.2b
(pow.f64 (/.f64 z (+.f64 z y)) 3)
2.1b
(/.f64 x (cbrt.f64 (pow.f64 (/.f64 z (+.f64 z y)) 3)))
10.0b
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 z y)) 3))

rewrite82.0ms (2.9%)

Algorithm
rewrite-expression-head
Rules
291×times-frac_binary64_12019
245×*-un-lft-identity_binary64_12013
210×cbrt-prod_binary64_12044
165×add-sqr-sqrt_binary64_12035 add-cube-cbrt_binary64_12048
108×cube-prod_binary64_12041 unpow-prod-down_binary64_12092
49×associate-/r*_binary64_11957
40×distribute-lft-out_binary64_11964
27×associate-/r/_binary64_11959
14×div-inv_binary64_12010
13×flip3-+_binary64_12016 flip-+_binary64_11987
11×add-exp-log_binary64_12051
10×add-cbrt-cube_binary64_12049
cube-mult_binary64_12043 sqr-pow_binary64_11985 unpow3_binary64_12079 associate-/l*_binary64_11958
pow1_binary64_12074
add-log-exp_binary64_12052
div-exp_binary64_12064 cube-div_binary64_12042 cbrt-undiv_binary64_12047 pow-unpow_binary64_12090
rem-cube-cbrt_binary64_12036 clear-num_binary64_12012 frac-2neg_binary64_12024 pow-exp_binary64_12081 cbrt-div_binary64_12045
pow1/3_binary64_12095 rem-cbrt-cube_binary64_12037 pow-to-exp_binary64_12082 pow-pow_binary64_12085
Counts
4 → 337
Calls

4 calls:

21.0ms
(/.f64 x (cbrt.f64 (pow.f64 (/.f64 z (+.f64 z y)) 3)))
9.0ms
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 z y)) 3))
8.0ms
(pow.f64 (/.f64 z (+.f64 z y)) 3)
6.0ms
(/.f64 z (+.f64 z y))

series161.0ms (5.6%)

Counts
4 → 12
Calls

4 calls:

58.0ms
(pow.f64 (/.f64 z (+.f64 z y)) 3)
52.0ms
(/.f64 x (cbrt.f64 (pow.f64 (/.f64 z (+.f64 z y)) 3)))
25.0ms
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 z y)) 3))
25.0ms
(/.f64 z (+.f64 z y))

simplify103.0ms (3.6%)

Algorithm
egg-herbie
Counts
349 → 349
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
053266578

prune229.0ms (8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3490349
Fresh022
Picked011
Done033
Total3496355
Error
0b
Counts
355 → 6
Compiler

Compiled 5735 to 1561 computations (72.8% saved)

regimes177.0ms (6.1%)

Accuracy

Total 1.5b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 1270 to 802 computations (36.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02160
12160

end0.0ms (0%)

sample727.0ms (25.3%)

Algorithm
intervals
Results
223.0ms8000×body128valid
20.0ms741×body128invalid
Compiler

Compiled 350 to 214 computations (38.9% saved)

Profiling

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