Details

Time bar (total: 9.8s)

sample47.0ms

Algorithm
intervals
Results
14.0ms126×body160valid
8.0ms130×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
02664
18264
226555
386454
4379654
done500054

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.2b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.4b
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
13.8b
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) 1.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 78
Calls
4 calls:
2.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
2.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
0.0ms
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) 1.0)

series631.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
24.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
203.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
379.0ms
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) 1.0)

simplify443.0ms

Counts
90 → 90
Iterations

Useful iterations: done (439.0ms)

IterNodesCost
01382422
12972317
210732068
done50012038

prune459.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 13.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.2b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.4b
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
13.8b
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) 1.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 78
Calls
4 calls:
2.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
2.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
0.0ms
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) 1.0)

series623.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
24.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
195.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
380.0ms
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) 1.0)

simplify432.0ms

Counts
90 → 90
Iterations

Useful iterations: done (428.0ms)

IterNodesCost
01392630
13002525
210922068
done50012038

prune451.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 13.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.4b
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (cbrt (pow (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 3)) -0.284496736) 0.254829592)
13.8b
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (cbrt (pow (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 3)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) 1.0)
19.9b
(cbrt (pow (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 3))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
13×unpow-prod-down cube-prod
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* div-inv associate-/l*
2×fma-udef
1×cbrt-undiv cube-div cube-mult cbrt-div frac-2neg pow1/3 unpow3 div-exp clear-num rem-cbrt-cube sqr-pow
Counts
4 → 93
Calls
4 calls:
2.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (cbrt (pow (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 3)) -0.284496736) 0.254829592)
0.0ms
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (cbrt (pow (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 3)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) 1.0)
4.0ms
(cbrt (pow (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 3))

series631.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
197.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (cbrt (pow (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 3)) -0.284496736) 0.254829592)
377.0ms
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (cbrt (pow (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 3)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) 1.0)
28.0ms
(cbrt (pow (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 3))

simplify865.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (190.0ms)

IterNodesCost
02043230
15142803
221062290
done50012290

prune463.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 13.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.4b
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
13.8b
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2))) 1.0)
13.9b
(log (exp (fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2))) 1.0)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u log-prod log-pow log1p-expm1-u add-log-exp
3×exp-prod associate-/r* fma-udef associate-/l*
1×cbrt-undiv frac-2neg div-exp rem-log-exp exp-sum clear-num div-inv
Counts
4 → 67
Calls
4 calls:
2.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
0.0ms
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2))) 1.0)
1.0ms
(log (exp (fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2))) 1.0)))

series982.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
196.0ms
(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
384.0ms
(fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2))) 1.0)
377.0ms
(log (exp (fma (- (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2))) 1.0)))

simplify444.0ms

Counts
79 → 79
Iterations

Useful iterations: done (440.0ms)

IterNodesCost
01633591
13283455
211243046
done50002986

prune411.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 13.8b

regimes487.0ms

Accuracy

0% (0.1b remaining)

Error of 13.8b against oracle of 13.7b and baseline of 13.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02362
12562
done2562

end0.0ms

sample794.0ms

Algorithm
intervals
Results
436.0ms3899×body160valid
239.0ms4101×body80valid