Details

Time bar (total: 11.5s)

analyze1.5s (12.8%)

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
0%99.9%0.1%7
0%99.9%0.1%8
0%99.9%0.1%9
0%99.9%0.1%10
0%99.9%0.1%11
0%99.9%0.1%12
0%99.9%0.1%13
0%99.9%0.1%14
Compiler

Compiled 19 to 9 computations (52.6% saved)

sample4.0s (34.5%)

Results
2.2s3856×body8192exit
825.0ms6764×body128valid
473.0ms3906×body128invalid
218.0ms717×body512valid
170.0ms749×body256valid
10.0ms26×body1024valid
Compiler

Compiled 37 to 17 computations (54.1% saved)

simplify81.0ms (0.7%)

Algorithm
egg-herbie
Rules
568×neg-mul-1_binary64
503×fma-def_binary64
491×fma-neg_binary64
484×div-sub_binary64
416×distribute-neg-frac_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0923
12223
25823
315221
433818
5109018
6290218
7369518
8470618
9488118

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
13.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
13.0b
(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
13.3b
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
Compiler

Compiled 94 to 48 computations (48.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (exp.f64 wj))
0.0b
(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
6.0b
(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

series48.0ms (0.4%)

Counts
3 → 52
Calls

3 calls:

18.0ms
(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
16.0ms
(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
14.0ms
(/.f64 x (exp.f64 wj))

rewrite36.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity_binary64
49×add-sqr-sqrt_binary64
38×times-frac_binary64
24×add-cube-cbrt_binary64
10×difference-of-squares_binary64
Counts
3 → 100
Calls

3 calls:

15.0ms
(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
12.0ms
(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
3.0ms
(/.f64 x (exp.f64 wj))

simplify113.0ms (1%)

Algorithm
egg-herbie
Rules
643×fma-neg_binary64
444×fma-def_binary64
331×distribute-rgt-in_binary64
292×associate--l+_binary64
278×distribute-lft-in_binary64
Counts
152 → 154
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02283154
15833016
216042995
347982993
452982993

prune131.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1504154
Fresh101
Picked101
Done000
Total1524156
Error
0.1b
Counts
156 → 4
Alt Table
StatusErrorProgram
13.1b
(fma.f64 (*.f64 (cbrt.f64 wj) (cbrt.f64 wj)) (cbrt.f64 wj) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
1.0b
(-.f64 (fma.f64 5/2 (*.f64 x (*.f64 wj wj)) (fma.f64 wj wj x)) (fma.f64 x (fma.f64 2 wj (*.f64 8/3 (pow.f64 wj 3))) (pow.f64 wj 3)))
6.2b
(*.f64 1 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (-.f64 wj (/.f64 wj (+.f64 wj 1)))))
60.1b
(log.f64 (exp.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))))
Compiler

Compiled 3310 to 1450 computations (56.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (fma.f64 2 wj (*.f64 8/3 (pow.f64 wj 3))) (pow.f64 wj 3))
0.0b
(-.f64 (fma.f64 5/2 (*.f64 x (*.f64 wj wj)) (fma.f64 wj wj x)) (fma.f64 x (fma.f64 2 wj (*.f64 8/3 (pow.f64 wj 3))) (pow.f64 wj 3)))
0.1b
(*.f64 8/3 (pow.f64 wj 3))
7.0b
(*.f64 x (*.f64 wj wj))

series94.0ms (0.8%)

Counts
4 → 72
Calls

4 calls:

62.0ms
(-.f64 (fma.f64 5/2 (*.f64 x (*.f64 wj wj)) (fma.f64 wj wj x)) (fma.f64 x (fma.f64 2 wj (*.f64 8/3 (pow.f64 wj 3))) (pow.f64 wj 3)))
19.0ms
(fma.f64 x (fma.f64 2 wj (*.f64 8/3 (pow.f64 wj 3))) (pow.f64 wj 3))
10.0ms
(*.f64 x (*.f64 wj wj))
3.0ms
(*.f64 8/3 (pow.f64 wj 3))

rewrite19.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64
17×add-cube-cbrt_binary64
14×add-exp-log_binary64
13×associate-*r*_binary64
Counts
4 → 96
Calls

4 calls:

6.0ms
(*.f64 x (*.f64 wj wj))
5.0ms
(*.f64 8/3 (pow.f64 wj 3))
3.0ms
(-.f64 (fma.f64 5/2 (*.f64 x (*.f64 wj wj)) (fma.f64 wj wj x)) (fma.f64 x (fma.f64 2 wj (*.f64 8/3 (pow.f64 wj 3))) (pow.f64 wj 3)))
0.0ms
(fma.f64 x (fma.f64 2 wj (*.f64 8/3 (pow.f64 wj 3))) (pow.f64 wj 3))

simplify131.0ms (1.1%)

Algorithm
egg-herbie
Rules
806×fma-def_binary64
521×distribute-rgt-in_binary64
507×distribute-lft-in_binary64
479×fma-neg_binary64
401×cancel-sign-sub-inv_binary64
Counts
168 → 173
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01913853
14093376
214383085
349853004
451893004

prune210.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1721173
Fresh033
Picked011
Done000
Total1725177
Error
0.1b
Counts
177 → 5
Alt Table
StatusErrorProgram
13.1b
(fma.f64 (*.f64 (cbrt.f64 wj) (cbrt.f64 wj)) (cbrt.f64 wj) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
2.4b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))))
1.0b
(-.f64 (fma.f64 5/2 (*.f64 x (*.f64 wj wj)) (fma.f64 wj wj x)) (fma.f64 x (fma.f64 2 wj (*.f64 8/3 (pow.f64 wj 3))) (pow.f64 wj 3)))
6.2b
(*.f64 1 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (-.f64 wj (/.f64 wj (+.f64 wj 1)))))
60.1b
(log.f64 (exp.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))))
Compiler

Compiled 6424 to 3528 computations (45.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))))
0.5b
(*.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))))
0.6b
(cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))))
4.3b
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))

series1.1s (9.6%)

Counts
4 → 96
Calls

4 calls:

866.0ms
(*.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))))
203.0ms
(cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))))
25.0ms
(*.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))))
15.0ms
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))

rewrite95.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
68×cbrt-div_binary64
36×add-sqr-sqrt_binary64
34×flip--_binary64
34×flip3--_binary64
32×frac-times_binary64
Counts
4 → 164
Calls

4 calls:

34.0ms
(*.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))))
14.0ms
(*.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))))
5.0ms
(*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))
4.0ms
(cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))))

simplify359.0ms (3.1%)

Algorithm
egg-herbie
Rules
527×*-commutative_binary64
371×+-commutative_binary64
340×fma-def_binary64
301×associate-+r+_binary64
168×associate-*r/_binary64
Counts
260 → 360
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143136488
1506836488

prune1.9s (16.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New6191620
Fresh033
Picked011
Done011
Total6196625
Error
0.1b
Counts
625 → 6
Alt Table
StatusErrorProgram
13.1b
(fma.f64 (*.f64 (cbrt.f64 wj) (cbrt.f64 wj)) (cbrt.f64 wj) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
56.1b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))) (log.f64 (exp.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))))))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))))
2.4b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))))
1.0b
(-.f64 (fma.f64 5/2 (*.f64 x (*.f64 wj wj)) (fma.f64 wj wj x)) (fma.f64 x (fma.f64 2 wj (*.f64 8/3 (pow.f64 wj 3))) (pow.f64 wj 3)))
6.2b
(*.f64 1 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (-.f64 wj (/.f64 wj (+.f64 wj 1)))))
60.1b
(log.f64 (exp.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))))
Compiler

Compiled 96560 to 66299 computations (31.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 wj (+.f64 wj 1))
0.0b
(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
0.0b
(*.f64 (exp.f64 wj) (+.f64 wj 1))
6.7b
(-.f64 wj (/.f64 wj (+.f64 wj 1)))

series29.0ms (0.2%)

Counts
4 → 60
Calls

4 calls:

21.0ms
(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
3.0ms
(*.f64 (exp.f64 wj) (+.f64 wj 1))
2.0ms
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
2.0ms
(/.f64 wj (+.f64 wj 1))

rewrite39.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity_binary64
75×add-sqr-sqrt_binary64
68×add-cube-cbrt_binary64
64×times-frac_binary64
54×prod-diff_binary64
Counts
4 → 176
Calls

4 calls:

11.0ms
(-.f64 wj (/.f64 wj (+.f64 wj 1)))
6.0ms
(/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1)))
6.0ms
(*.f64 (exp.f64 wj) (+.f64 wj 1))
4.0ms
(/.f64 wj (+.f64 wj 1))

simplify147.0ms (1.3%)

Algorithm
egg-herbie
Rules
813×fma-neg_binary64
476×distribute-rgt-in_binary64
264×cancel-sign-sub-inv_binary64
182×distribute-rgt-neg-in_binary64
159×sub-neg_binary64
Counts
236 → 262
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03415313
18523689
225353170
345413167
448863167

prune315.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2602262
Fresh303
Picked101
Done022
Total2644268
Error
0b
Counts
268 → 4
Alt Table
StatusErrorProgram
0.6b
(*.f64 1 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (-.f64 (fma.f64 wj wj (pow.f64 wj 4)) (pow.f64 wj 3))))
6.1b
(*.f64 1 (+.f64 (/.f64 x (*.f64 (exp.f64 wj) (+.f64 wj 1))) (+.f64 (fma.f64 1 wj (neg.f64 (*.f64 (/.f64 wj (sqrt.f64 (+.f64 wj 1))) (/.f64 1 (sqrt.f64 (+.f64 wj 1)))))) (fma.f64 (neg.f64 (/.f64 wj (sqrt.f64 (+.f64 wj 1)))) (/.f64 1 (sqrt.f64 (+.f64 wj 1))) (*.f64 (/.f64 wj (sqrt.f64 (+.f64 wj 1))) (/.f64 1 (sqrt.f64 (+.f64 wj 1))))))))
2.4b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1))))) (cbrt.f64 (-.f64 (+.f64 (fma.f64 wj wj x) (*.f64 (*.f64 wj x) (fma.f64 wj 5/2 -2))) (*.f64 (pow.f64 wj 3) (fma.f64 x 8/3 1)))))
1.0b
(-.f64 (fma.f64 5/2 (*.f64 x (*.f64 wj wj)) (fma.f64 wj wj x)) (fma.f64 x (fma.f64 2 wj (*.f64 8/3 (pow.f64 wj 3))) (pow.f64 wj 3)))
Compiler

Compiled 8339 to 5101 computations (38.8% saved)

regimes1.1s (9.1%)

Accuracy

Total 1.0b remaining (80.6%)

Threshold costs 1.0b (80.6%)

Counts
283 → 1
Compiler

Compiled 22194 to 14967 computations (32.6% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
*-lft-identity_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01628
12428
22828
33028
43128
53028

end131.0ms (1.1%)

Compiler

Compiled 223 to 151 computations (32.3% saved)

Profiling

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