Details

Time bar (total: 5.2s)

analyze1.1s (20.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
3%46.9%50%13
3.1%46.8%50%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample156.0ms (3%)

Algorithm
intervals
Results
45.0ms127×body2048valid
17.0ms63×body1024valid
6.0ms38×body512valid
2.0ms16×body256valid
1.0ms12×body128valid
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify71.0ms (1.4%)

Algorithm
egg-herbie
Rules
686×div-sub_binary64
546×sub-neg_binary64
397×neg-mul-1_binary64
344×neg-sub0_binary64
311×associate-/r*_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01019
13119
27217
320317
453217
5134017
6271017
7374817
8464317
9498117

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.5b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
Compiler

Compiled 53 to 36 computations (32.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
0.5b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series5.0ms (0.1%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
2.0ms
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
times-frac_binary64
add-cbrt-cube_binary64
Counts
2 → 39
Calls

2 calls:

2.0ms
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
0.0ms
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

simplify75.0ms (1.4%)

Algorithm
egg-herbie
Rules
667×times-frac_binary64
628×fma-def_binary64
405×fma-neg_binary64
337×associate-/l*_binary64
292×associate-/r*_binary64
Counts
63 → 60
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01031379
12091264
25491261
314341259
445021259
550391259

prune53.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New55560
Fresh000
Picked101
Done000
Total56561
Error
0.5b
Counts
61 → 5
Alt Table
StatusErrorProgram
0.5b
(acos.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.7b
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
2.1b
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.5b
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.5b
(expm1.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
Compiler

Compiled 1355 to 980 computations (27.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
0.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
0.0b
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.5b
(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series474.0ms (9.1%)

Counts
2 → 24
Calls

2 calls:

472.0ms
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
2.0ms
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
log-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
exp-prod_binary64
Counts
2 → 31
Calls

2 calls:

2.0ms
(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
1.0ms
(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

simplify109.0ms (2.1%)

Algorithm
egg-herbie
Rules
620×unswap-sqr_binary64
480×fma-neg_binary64
451×fma-def_binary64
352×associate-/l*_binary64
293×associate-/r*_binary64
Counts
55 → 43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0491240
1531120
2731120
31001112
41571112
52561112
64811112
711501112
824691112
943091112
1049961112
1147791112

prune99.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New994103
Fresh224
Picked101
Done000
Total1026108
Error
0.5b
Counts
108 → 6
Alt Table
StatusErrorProgram
0.5b
(acos.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.7b
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
3.0b
(exp.f64 (*.f64 (*.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.5b
(exp.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
1.5b
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
3.2b
(pow.f64 (exp.f64 (*.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
Compiler

Compiled 2679 to 1988 computations (25.8% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
0.0b
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
0.5b
(acos.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

series6.0ms (0.1%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
2.0ms
(acos.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

rewrite2.0ms (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
2 → 21
Calls

2 calls:

0.0ms
(acos.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.0ms
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

simplify69.0ms (1.3%)

Algorithm
egg-herbie
Rules
649×cancel-sign-sub-inv_binary64
502×fma-def_binary64
296×unswap-sqr_binary64
245×sub-neg_binary64
240×neg-mul-1_binary64
Counts
45 → 52
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068854
1139770
2355767
3923767
42691767
54253767
64945767

prune77.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh055
Picked011
Done000
Total996105
Error
0.5b
Counts
105 → 6
Alt Table
StatusErrorProgram
0.5b
(acos.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.7b
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))
3.0b
(exp.f64 (*.f64 (*.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.5b
(exp.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
1.5b
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
3.2b
(pow.f64 (exp.f64 (*.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
Compiler

Compiled 2380 to 1774 computations (25.5% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))

series2.0ms (0%)

Counts
1 → 0
Calls

1 calls:

2.0ms
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))

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
(acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))

simplify122.0ms (2.3%)

Algorithm
egg-herbie
Rules
1816×fma-def_binary64
578×sqr-pow_binary64
513×associate-*l*_binary64
493×*-commutative_binary64
354×unswap-sqr_binary64
Counts
10 → 11
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021211
129182
245182
377182
4161182
5401182
61153182
72143182
82224182
92406182
102629182
112908182
123210182
134308182
144749182
154748182

prune16.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New10111
Fresh044
Picked101
Done011
Total11617
Error
0.5b
Counts
17 → 6
Alt Table
StatusErrorProgram
3.0b
(exp.f64 (*.f64 (*.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.5b
(exp.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
1.5b
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
0.5b
(acos.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
3.2b
(pow.f64 (exp.f64 (*.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
1.6b
(*.f64 (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))) (sqrt.f64 (acos.f64 (fma.f64 4 (fma.f64 v v (pow.f64 v 4)) -1))))
Compiler

Compiled 413 to 307 computations (25.7% saved)

regimes105.0ms (2%)

Accuracy

Total 0.0b remaining (2.2%)

Threshold costs 0.0b (2.2%)

Counts
23 → 1
Compiler

Compiled 2080 to 1553 computations (25.3% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
11521
21421

end1.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.6s (50.5%)

Algorithm
intervals
Results
1.4s3976×body2048valid
501.0ms2004×body1024valid
192.0ms1038×body512valid
66.0ms494×body256valid
30.0ms488×body128valid
0.0msbody128nan
Compiler

Compiled 254 to 187 computations (26.4% saved)

Profiling

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