Details

Time bar (total: 5.6s)

analyze94.0ms (1.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%1.5%98.5%0
0%1.5%98.5%1
0%1.5%98.5%2
0.8%0.8%98.5%3
0.8%0.8%98.5%4
1.2%0.4%98.5%5
1.2%0.4%98.5%6
1.4%0.2%98.5%7
1.4%0.2%98.5%8
1.4%0.1%98.5%9
1.4%0.1%98.5%10
1.5%0%98.5%11
1.5%0%98.5%12
1.5%0%98.5%13
1.5%0%98.5%14
Compiler

Compiled 27 to 21 computations (22.2% saved)

sample455.0ms (8.2%)

Algorithm
intervals
Results
19.0ms256×body128valid
7.0ms256×pre128true
Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify23.0ms (0.4%)

Algorithm
egg-herbie
Rules
175×fma-neg_binary32
156×fma-def_binary32
46×cancel-sign-sub-inv_binary32
46×sub-neg_binary32
29×distribute-rgt-in_binary32
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
12411
23811
36411
48311
511011
614411
719411
824411
929111
1031911
1136211
1240111
1347811
1449111
1544311

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.2b
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
Compiler

Compiled 37 to 29 computations (21.6% saved)

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (*.f32 u -4))
0.2b
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))

series316.0ms (5.7%)

Counts
2 → 36
Calls

2 calls:

313.0ms
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
3.0ms
(log1p.f32 (*.f32 u -4))

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
10×associate-*r*_binary32
add-sqr-sqrt_binary32
*-un-lft-identity_binary32
add-cube-cbrt_binary32
add-cbrt-cube_binary32
Counts
2 → 39
Calls

2 calls:

4.0ms
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
0.0ms
(log1p.f32 (*.f32 u -4))

simplify62.0ms (1.1%)

Algorithm
egg-herbie
Rules
715×fma-neg_binary32
622×fma-def_binary32
409×unsub-neg_binary32
304×times-frac_binary32
234×associate-+l+_binary32
Counts
75 → 100
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01571231
14411117
214151071
336451067
451071067

prune81.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New937100
Fresh000
Picked011
Done000
Total938101
Error
0.0b
Counts
101 → 8
Alt Table
StatusErrorProgram
0.5b
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.7b
(*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.7b
(*.f32 (*.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (*.f32 (sqrt.f32 s) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))))
19.0b
(cbrt.f32 (*.f32 (*.f32 (*.f32 s s) s) (*.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) (neg.f32 (log1p.f32 (*.f32 u -4)))) (neg.f32 (log1p.f32 (*.f32 u -4))))))
0.2b
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
0.8b
(*.f32 s (neg.f32 (*.f32 (*.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) (cbrt.f32 (log1p.f32 (*.f32 u -4)))) (cbrt.f32 (log1p.f32 (*.f32 u -4))))))
0.8b
(*.f32 (*.f32 s (*.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) (cbrt.f32 (log1p.f32 (*.f32 u -4))))) (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))))
2.6b
(+.f32 (*.f32 8 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 64/3 (*.f32 s (pow.f32 u 3))) (+.f32 (*.f32 64 (*.f32 s (pow.f32 u 4))) (*.f32 4 (*.f32 s u)))))
Compiler

Compiled 1782 to 1301 computations (27% saved)

localize30.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (*.f32 u -4))
0.3b
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.3b
(*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))

series242.0ms (4.3%)

Counts
2 → 32
Calls

2 calls:

219.0ms
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
23.0ms
(*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))

rewrite14.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary32
12×associate-*l*_binary32
11×associate-*r*_binary32
*-un-lft-identity_binary32
add-cube-cbrt_binary32
Counts
2 → 56
Calls

2 calls:

6.0ms
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
5.0ms
(*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))

simplify80.0ms (1.4%)

Algorithm
egg-herbie
Rules
915×fma-def_binary32
715×times-frac_binary32
366×fma-neg_binary32
252×associate-+l+_binary32
224×associate-*r*_binary32
Counts
88 → 117
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01861744
15411595
217211526
344531526
455621526

prune114.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1503153
Fresh426
Picked011
Done011
Total1547161
Error
0.0b
Counts
161 → 7
Alt Table
StatusErrorProgram
0.5b
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.7b
(*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.5b
(*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 s) (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 (sqrt.f32 (cbrt.f32 s))))))
2.5b
(*.f32 (sqrt.f32 s) (exp.f32 (log.f32 (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))))
0.2b
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
0.5b
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))))
2.6b
(+.f32 (*.f32 8 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 64/3 (*.f32 s (pow.f32 u 3))) (+.f32 (*.f32 64 (*.f32 s (pow.f32 u 4))) (*.f32 4 (*.f32 s u)))))
Compiler

Compiled 3092 to 1912 computations (38.2% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (*.f32 u -4))
0.2b
(*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))
0.4b
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))))
0.9b
(sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))

series463.0ms (8.3%)

Counts
3 → 44
Calls

3 calls:

297.0ms
(*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))
132.0ms
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))))
33.0ms
(sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))

rewrite20.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
57×pow1_binary32
30×sqrt-pow1_binary32
22×pow-prod-down_binary32
15×add-sqr-sqrt_binary32
14×associate-*r*_binary32
Counts
3 → 92
Calls

3 calls:

8.0ms
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))))
4.0ms
(*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))
2.0ms
(sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))

simplify132.0ms (2.4%)

Algorithm
egg-herbie
Rules
785×fma-def_binary32
254×unswap-sqr_binary32
203×associate-*l*_binary32
191×associate-*r*_binary32
160×distribute-rgt-neg-out_binary32
Counts
136 → 161
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02362993
16132629
222262382
346602331
448822331
549442331

prune329.0ms (5.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3172319
Fresh134
Picked011
Done022
Total3188326
Error
0b
Counts
326 → 8
Alt Table
StatusErrorProgram
0.5b
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.5b
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (neg.f32 (cbrt.f32 s)))))
0.5b
(*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 s) (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 (sqrt.f32 (cbrt.f32 s))))))
2.5b
(*.f32 (sqrt.f32 s) (exp.f32 (log.f32 (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))))
0.2b
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
0.6b
(*.f32 (sqrt.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))) (*.f32 (sqrt.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))) (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))))
0.5b
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))))
2.6b
(+.f32 (*.f32 8 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 64/3 (*.f32 s (pow.f32 u 3))) (+.f32 (*.f32 64 (*.f32 s (pow.f32 u 4))) (*.f32 4 (*.f32 s u)))))
Compiler

Compiled 9152 to 6359 computations (30.5% saved)

localize53.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (neg.f32 (cbrt.f32 s)))))
0.5b
(*.f32 (cbrt.f32 s) (cbrt.f32 s))
0.9b
(sqrt.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (neg.f32 (cbrt.f32 s))))
0.9b
(sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))

series133.0ms (2.4%)

Counts
3 → 28
Calls

3 calls:

58.0ms
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (neg.f32 (cbrt.f32 s)))))
38.0ms
(sqrt.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (neg.f32 (cbrt.f32 s))))
37.0ms
(*.f32 (cbrt.f32 s) (cbrt.f32 s))

rewrite33.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
54×pow1_binary32
34×pow-prod-down_binary32
23×add-sqr-sqrt_binary32
20×sqrt-pow1_binary32
16×cbrt-prod_binary32
Counts
3 → 89
Calls

3 calls:

14.0ms
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (neg.f32 (cbrt.f32 s)))))
8.0ms
(sqrt.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (neg.f32 (cbrt.f32 s))))
5.0ms
(*.f32 (cbrt.f32 s) (cbrt.f32 s))

simplify93.0ms (1.7%)

Algorithm
egg-herbie
Rules
875×associate-/l*_binary32
724×fma-def_binary32
152×associate-*r*_binary32
151×associate-*l*_binary32
129×unswap-sqr_binary32
Counts
117 → 152
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02063345
14952298
216352035
348542027
451312027

prune206.0ms (3.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1880188
Fresh044
Picked011
Done033
Total1888196
Error
0b
Counts
196 → 8
Alt Table
StatusErrorProgram
0.5b
(*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))
0.5b
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (neg.f32 (cbrt.f32 s)))))
0.5b
(*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 s) (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 (sqrt.f32 (cbrt.f32 s))))))
2.5b
(*.f32 (sqrt.f32 s) (exp.f32 (log.f32 (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))))))
0.2b
(*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))
0.6b
(*.f32 (sqrt.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))) (*.f32 (sqrt.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))) (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s)))))
0.5b
(*.f32 (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))) (sqrt.f32 (*.f32 (log1p.f32 (*.f32 u -4)) (neg.f32 s))))
2.6b
(+.f32 (*.f32 8 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 64/3 (*.f32 s (pow.f32 u 3))) (+.f32 (*.f32 64 (*.f32 s (pow.f32 u 4))) (*.f32 4 (*.f32 s u)))))
Compiler

Compiled 6808 to 4191 computations (38.4% saved)

regimes872.0ms (15.7%)

Accuracy

Total 0.2b remaining (87.6%)

Threshold costs 0.2b (87.6%)

Counts
112 → 1
Compiler

Compiled 15829 to 11676 computations (26.2% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary32
+-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11611
22311
32911
43211
53311
63311

end0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.7s (29.8%)

Algorithm
intervals
Results
727.0ms8000×body128valid
200.0ms8000×pre128true
Compiler

Compiled 202 to 148 computations (26.7% saved)

Profiling

Loading profile data...