Details

Time bar (total: 44.8s)

analyze3.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 53 to 38 computations (28.3% saved)

sample63.0ms (0.1%)

Algorithm
intervals
Symmetry

(sort a b c d e)

Results
14.0ms256×pre128true
8.0ms256×body128valid
Compiler

Compiled 72 to 52 computations (27.8% saved)

simplify8.0ms (0%)

Algorithm
egg-herbie
Rules
128×associate-+l+_binary64
99×associate-+r+_binary64
56×+-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
12013
25613
314313
418813
518613
618613

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.5b
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
Compiler

Compiled 42 to 27 computations (35.7% saved)

localize6.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (+.f64 e d) c)
0.2b
(+.f64 (+.f64 (+.f64 e d) c) b)
0.3b
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

series21.0ms (0%)

Counts
3 → 144
Calls

3 calls:

8.0ms
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
7.0ms
(+.f64 (+.f64 e d) c)
6.0ms
(+.f64 (+.f64 (+.f64 e d) c) b)

rewrite23.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity_binary64
31×add-log-exp_binary64
29×distribute-lft-out_binary64
19×sum-log_binary64
15×fma-def_binary64
Counts
3 → 72
Calls

3 calls:

9.0ms
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
6.0ms
(+.f64 (+.f64 (+.f64 e d) c) b)
4.0ms
(+.f64 (+.f64 e d) c)

simplify89.0ms (0.2%)

Algorithm
egg-herbie
Rules
599×associate-+l+_binary64
542×fma-neg_binary64
494×associate--l+_binary64
363×associate-+r+_binary64
350×fma-def_binary64
Counts
216 → 107
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01032097
12842070
29332052
329562052
446102052
548292052

prune92.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1052107
Fresh000
Picked101
Done000
Total1062108
Error
0b
Counts
108 → 2
Alt Table
StatusErrorProgram
0.0b
(log.f64 (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
0.6b
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (+.f64 e d) c) b) 3) (pow.f64 a 3)) (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) (+.f64 (+.f64 (+.f64 e d) c) b)) (-.f64 (*.f64 a a) (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a))))
Compiler

Compiled 1686 to 434 computations (74.3% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (exp.f64 e) (exp.f64 d))
0.3b
(*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
0.3b
(*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
0.4b
(*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))

series115.0ms (0.3%)

Counts
4 → 168
Calls

4 calls:

56.0ms
(*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
32.0ms
(*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
21.0ms
(*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))
6.0ms
(*.f64 (exp.f64 e) (exp.f64 d))

rewrite40.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
34×add-cbrt-cube_binary64
34×pow1_binary64
23×*-un-lft-identity_binary64
20×cbrt-unprod_binary64
20×prod-exp_binary64
Counts
4 → 93
Calls

4 calls:

14.0ms
(*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a))
9.0ms
(*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b))
7.0ms
(*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c))
5.0ms
(*.f64 (exp.f64 e) (exp.f64 d))

simplify157.0ms (0.4%)

Algorithm
egg-herbie
Rules
968×prod-exp_binary64
493×*-commutative_binary64
466×fma-def_binary64
440×associate-+l+_binary64
291×associate-+r+_binary64
Counts
261 → 244
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03475120
110844130
222803920
332033914
443143914
556953914

prune180.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2440244
Fresh011
Picked011
Done000
Total2442246
Error
0b
Counts
246 → 2
Alt Table
StatusErrorProgram
0.0b
(log.f64 (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
0.6b
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (+.f64 e d) c) b) 3) (pow.f64 a 3)) (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) (+.f64 (+.f64 (+.f64 e d) c) b)) (-.f64 (*.f64 a a) (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a))))
Compiler

Compiled 5790 to 1652 computations (71.5% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
0.4b
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (+.f64 e d) c) b) 3) (pow.f64 a 3)) (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) (+.f64 (+.f64 (+.f64 e d) c) b)) (-.f64 (*.f64 a a) (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a))))
0.5b
(*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) (+.f64 (+.f64 (+.f64 e d) c) b))
0.8b
(pow.f64 (+.f64 (+.f64 (+.f64 e d) c) b) 3)

series37.6s (84%)

Counts
4 → 216
Calls

4 calls:

37.5s
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (+.f64 e d) c) b) 3) (pow.f64 a 3)) (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) (+.f64 (+.f64 (+.f64 e d) c) b)) (-.f64 (*.f64 a a) (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a))))
94.0ms
(pow.f64 (+.f64 (+.f64 (+.f64 e d) c) b) 3)
29.0ms
(*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) (+.f64 (+.f64 (+.f64 e d) c) b))
15.0ms
(*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)

rewrite128.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
394×*-un-lft-identity_binary64
242×distribute-lft-out_binary64
70×cube-prod_binary64
70×unpow-prod-down_binary64
63×times-frac_binary64
Counts
4 → 237
Calls

4 calls:

35.0ms
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (+.f64 e d) c) b) 3) (pow.f64 a 3)) (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) (+.f64 (+.f64 (+.f64 e d) c) b)) (-.f64 (*.f64 a a) (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a))))
15.0ms
(*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) (+.f64 (+.f64 (+.f64 e d) c) b))
8.0ms
(*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
7.0ms
(pow.f64 (+.f64 (+.f64 (+.f64 e d) c) b) 3)

simplify1.5s (3.4%)

Algorithm
egg-herbie
Counts
453 → 222
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06749327861

prune2.2s (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2220222
Fresh000
Picked011
Done011
Total2222224
Error
0b
Counts
224 → 2
Alt Table
StatusErrorProgram
0.0b
(log.f64 (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 e) (exp.f64 d)) (exp.f64 c)) (exp.f64 b)) (exp.f64 a)))
0.6b
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (+.f64 e d) c) b) 3) (pow.f64 a 3)) (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) (+.f64 (+.f64 (+.f64 e d) c) b)) (-.f64 (*.f64 a a) (*.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a))))
Compiler

Compiled 217061 to 113582 computations (47.7% saved)

regimes1.5s (3.4%)

Accuracy

Total 0.0b remaining (51.7%)

Threshold costs 0.0b (51.7%)

Counts
173 → 1
Compiler

Compiled 39853 to 23751 computations (40.4% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02167
12767
22767

end14.0ms (0%)

Remove

(sort a b c d e)

Compiler

Compiled 135 to 60 computations (55.6% saved)

sample935.0ms (2.1%)

Algorithm
intervals
Results
378.0ms8000×pre128true
226.0ms8000×body128valid
Compiler

Compiled 171 to 97 computations (43.3% saved)

Profiling

Loading profile data...