Details

Time bar (total: 16.7s)

analyze338.0ms (2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%49.9%50.1%5
0%43.7%56.3%6
0%34.3%65.7%7
3.1%31.2%65.7%8
3.1%28.1%68.8%9
4.7%25%70.4%10
7%20.3%72.7%11
10.5%16.8%72.7%12
10.5%16%73.5%13
12.3%13.8%73.9%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.4s (8.6%)

Results
1.2s8252×body128valid
62.0ms463×body128invalid
2.0msbody1024valid
0.0msbody512valid
Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify185.0ms (1.1%)

Algorithm
egg-herbie
Rules
2537×fma-neg_binary64
490×associate--r-_binary64
460×associate--l-_binary64
401×distribute-rgt-in_binary64
373×unsub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01117
12217
25917
314515
431315
559315
671415
795815
8116815
9154915
10271215
11261315
12265415
13266315
14266915
15267115
16275915
17277715
18278515
19280715
20279315
21279315
22510715

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Compiler

Compiled 53 to 31 computations (41.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
0.1b
(fma.f64 x (log.f64 y) (log.f64 t))

series878.0ms (5.3%)

Counts
2 → 84
Calls

2 calls:

492.0ms
(fma.f64 x (log.f64 y) (log.f64 t))
386.0ms
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))

rewrite8.0ms (0%)

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
13×add-sqr-sqrt_binary64
12×prod-diff_binary64
11×add-cube-cbrt_binary64
add-log-exp_binary64
Counts
2 → 48
Calls

2 calls:

4.0ms
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
0.0ms
(fma.f64 x (log.f64 y) (log.f64 t))

simplify105.0ms (0.6%)

Algorithm
egg-herbie
Rules
593×fma-def_binary64
414×associate-*l*_binary64
385×distribute-rgt-in_binary64
360×distribute-lft-in_binary64
333×associate-*r*_binary64
Counts
132 → 91
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01151952
12601860
28971769
343681769
448171762
549961762

prune69.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New86591
Fresh000
Picked011
Done000
Total86692
Error
0.0b
Counts
92 → 6
Alt Table
StatusErrorProgram
0.5b
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (neg.f64 (+.f64 y z)))
31.1b
(-.f64 (*.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (sqrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
0.5b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
18.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (fma.f64 x (log.f64 y) (log.f64 t))) (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
29.0b
(-.f64 (log.f64 (*.f64 t (pow.f64 y x))) (+.f64 y z))
0.1b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Compiler

Compiled 1955 to 441 computations (77.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (log.f64 y) (log.f64 t))
0.4b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))
0.5b
(cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))
0.5b
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))

series3.1s (18.8%)

Counts
3 → 108
Calls

3 calls:

1.4s
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))
1.2s
(cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))
476.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))

rewrite19.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
24×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
14×*-un-lft-identity_binary64
Counts
3 → 93
Calls

3 calls:

6.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))
1.0ms
(cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))

simplify160.0ms (1%)

Algorithm
egg-herbie
Rules
859×fma-def_binary64
335×unswap-sqr_binary64
268×cancel-sign-sub-inv_binary64
197×associate-*r*_binary64
171×associate-*l*_binary64
Counts
201 → 202
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02414636
16994142
223713941
343443706
449103706
550083706

prune459.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3833386
Fresh134
Picked101
Done011
Total3857392
Error
0.0b
Counts
392 → 7
Alt Table
StatusErrorProgram
18.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (fma.f64 x (log.f64 y) (log.f64 t))) (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
0.8b
(-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) 4) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
29.0b
(-.f64 (log.f64 (*.f64 t (pow.f64 y x))) (+.f64 y z))
0.5b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))) (+.f64 y z))
0.5b
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (neg.f64 (+.f64 y z)))
0.6b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
0.1b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Compiler

Compiled 15105 to 3984 computations (73.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (log.f64 y) (log.f64 t))
0.1b
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (neg.f64 (+.f64 y z)))
0.5b
(cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))
0.5b
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))

series3.0s (17.9%)

Counts
1 → 48
Calls

1 calls:

3.0s
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (neg.f64 (+.f64 y z)))

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (neg.f64 (+.f64 y z)))

simplify116.0ms (0.7%)

Algorithm
egg-herbie
Rules
964×fma-neg_binary64
370×cancel-sign-sub-inv_binary64
360×sub-neg_binary64
217×exp-diff_binary64
193×exp-prod_binary64
Counts
58 → 40
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0961478
12501307
27431127
326911125
446881108
545361108
649991108
749071108

prune482.0ms (2.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3700370
Fresh055
Picked011
Done011
Total3707377
Error
0.0b
Counts
377 → 7
Alt Table
StatusErrorProgram
18.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (fma.f64 x (log.f64 y) (log.f64 t))) (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
0.8b
(-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) 4) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
29.0b
(-.f64 (log.f64 (*.f64 t (pow.f64 y x))) (+.f64 y z))
0.5b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))) (+.f64 y z))
0.5b
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (neg.f64 (+.f64 y z)))
0.6b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
0.1b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Compiler

Compiled 14602 to 3691 computations (74.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))
0.5b
(cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))
0.5b
(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))
0.5b
(*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))))

series2.7s (16.2%)

Counts
2 → 72
Calls

2 calls:

1.5s
(*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))))
1.3s
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))

rewrite14.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64
add-sqr-sqrt_binary64
pow1/3_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
2 → 45
Calls

2 calls:

5.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))
5.0ms
(*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))))

simplify110.0ms (0.7%)

Algorithm
egg-herbie
Rules
588×fma-def_binary64
284×neg-mul-1_binary64
268×cancel-sign-sub-inv_binary64
261×unswap-sqr_binary64
169×associate-*r*_binary64
Counts
117 → 130
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02213333
16592983
222302807
344412612
450632612

prune1.5s (8.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New9860986
Fresh044
Picked011
Done022
Total9867993
Error
0.0b
Counts
993 → 7
Alt Table
StatusErrorProgram
18.6b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (fma.f64 x (log.f64 y) (log.f64 t))) (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
0.8b
(-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) 4) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (log.f64 t)))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
29.0b
(-.f64 (log.f64 (*.f64 t (pow.f64 y x))) (+.f64 y z))
0.5b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))))) (+.f64 y z))
0.5b
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (neg.f64 (+.f64 y z)))
0.6b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t))))) (cbrt.f64 (fma.f64 x (log.f64 y) (log.f64 t)))) (+.f64 y z))
0.1b
(-.f64 (fma.f64 x (log.f64 y) (log.f64 t)) (+.f64 y z))
Compiler

Compiled 89487 to 14321 computations (84% saved)

regimes1.8s (10.9%)

Accuracy

Total 0.0b remaining (37.8%)

Threshold costs 0.0b (37.8%)

Counts
169 → 1
Compiler

Compiled 49302 to 20863 computations (57.7% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11315
22215
33015
43515
53715
63715

end119.0ms (0.7%)

Compiler

Compiled 291 to 109 computations (62.5% saved)

Profiling

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