Details

Time bar (total: 28.3s)

sample60.0ms

Algorithm
intervals
Results
24.0ms123×body160valid
13.0ms133×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5000
43820
3964
2296
183
026

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma 0.3275911 (fabs x) 1))
0.2b
(/ 1 (fma 0.3275911 (fabs x) 1))
0.5b
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
13.5b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
12×add-exp-log
8×add-cbrt-cube
6×pow1 associate-/r* associate-/l* add-log-exp
4×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
3×fma-neg prod-diff fma-udef
2×cbrt-undiv rec-exp clear-num frac-2neg 1-exp div-inv pow-flip associate--r+ inv-pow
1×distribute-rgt-in sub-neg distribute-lft-in flip3-- diff-log flip--
Counts
4 → 102
Calls
4 calls:
9.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
5.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
0.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
6.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

series882.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
40.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
287.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
522.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

simplify2.9s

Counts
114 → 114
Iterations
IterNodes
done5004
21496
1453
0182

prune822.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.5b

localize81.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma 0.3275911 (fabs x) 1))
0.5b
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
13.5b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
13.5b
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
8×log-prod add-exp-log
6×pow1 add-cbrt-cube prod-diff add-log-exp
5×exp-sum
4×expm1-log1p-u log-pow insert-posit16 log1p-expm1-u
3×exp-prod associate-/r* fma-neg fma-udef associate-/l*
2×sub-neg div-exp associate--r+
1×distribute-rgt-in cbrt-undiv log-div rec-exp clear-num frac-2neg distribute-lft-in flip3-- exp-diff diff-log 1-exp rem-log-exp div-inv pow-flip flip-- inv-pow
Counts
4 → 92
Calls
4 calls:
5.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
0.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
6.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
12.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
323.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
539.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
467.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

simplify3.2s

Counts
104 → 104
Iterations
IterNodes
done5000
21529
1497
0215

prune788.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.5b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))
0.3b
(cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))
0.5b
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (* (* (cbrt (/ 1 (fma 0.3275911 (fabs x) 1))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
13.5b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (* (* (cbrt (/ 1 (fma 0.3275911 (fabs x) 1))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
6×add-log-exp
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×fma-neg prod-diff fma-udef
2×cbrt-div pow1/3 div-inv associate--r+
1×distribute-rgt-in sub-neg distribute-lft-in flip3-- diff-log flip--
Counts
4 → 84
Calls
4 calls:
2.0ms
(cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))
2.0ms
(cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))
0.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (* (* (cbrt (/ 1 (fma 0.3275911 (fabs x) 1))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
7.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (* (* (cbrt (/ 1 (fma 0.3275911 (fabs x) 1))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

series1.2s

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))
195.0ms
(cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))
329.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (* (* (cbrt (/ 1 (fma 0.3275911 (fabs x) 1))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
500.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (fma (* (* (cbrt (/ 1 (fma 0.3275911 (fabs x) 1))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (cbrt (/ 1 (fma 0.3275911 (fabs x) 1)))) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

simplify2.3s

Counts
96 → 96
Iterations
IterNodes
done5001
21427
1447
0188

prune737.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.5b

localize100.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1.061405429 (* (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))
0.5b
(/ 1.453152027 (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)))
0.5b
(- (+ 0.254829592 (/ 1.061405429 (* (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))) (+ (/ 0.284496736 (fma 0.3275911 (fabs x) 1)) (/ (/ 1.453152027 (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))) (fma 0.3275911 (fabs x) 1))))
13.5b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (+ (/ (/ 1.421413741 (fma 0.3275911 (fabs x) 1)) (fma 0.3275911 (fabs x) 1)) (- (+ 0.254829592 (/ 1.061405429 (* (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))) (+ (/ 0.284496736 (fma 0.3275911 (fabs x) 1)) (/ (/ 1.453152027 (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))) (fma 0.3275911 (fabs x) 1)))))))

rewrite627.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
35×prod-diff
33×add-sqr-sqrt
31×add-cube-cbrt
30×times-frac
29×distribute-lft-out
27×add-cbrt-cube add-exp-log
18×add-log-exp
10×div-inv
9×prod-exp cbrt-unprod
7×cbrt-undiv fma-neg div-exp
6×frac-sub associate-/l*
5×flip3-+ diff-log flip-+
4×expm1-log1p-u pow1 sum-log distribute-rgt-out insert-posit16 log1p-expm1-u distribute-lft-out--
3×associate--r+
2×clear-num associate-/r* sub-neg frac-2neg flip3-- frac-add flip--
1×distribute-rgt-in distribute-lft-in associate--l+ difference-of-squares
Counts
4 → 144
Calls
4 calls:
37.0ms
(/ 1.061405429 (* (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))
11.0ms
(/ 1.453152027 (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)))
560.0ms
(- (+ 0.254829592 (/ 1.061405429 (* (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))) (+ (/ 0.284496736 (fma 0.3275911 (fabs x) 1)) (/ (/ 1.453152027 (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))) (fma 0.3275911 (fabs x) 1))))
12.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (+ (/ (/ 1.421413741 (fma 0.3275911 (fabs x) 1)) (fma 0.3275911 (fabs x) 1)) (- (+ 0.254829592 (/ 1.061405429 (* (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))) (+ (/ 0.284496736 (fma 0.3275911 (fabs x) 1)) (/ (/ 1.453152027 (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))) (fma 0.3275911 (fabs x) 1)))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ 1.061405429 (* (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))
71.0ms
(/ 1.453152027 (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)))
381.0ms
(- (+ 0.254829592 (/ 1.061405429 (* (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))) (+ (/ 0.284496736 (fma 0.3275911 (fabs x) 1)) (/ (/ 1.453152027 (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))) (fma 0.3275911 (fabs x) 1))))
1.1s
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (+ (/ (/ 1.421413741 (fma 0.3275911 (fabs x) 1)) (fma 0.3275911 (fabs x) 1)) (- (+ 0.254829592 (/ 1.061405429 (* (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1)) (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))))) (+ (/ 0.284496736 (fma 0.3275911 (fabs x) 1)) (/ (/ 1.453152027 (* (fma 0.3275911 (fabs x) 1) (fma 0.3275911 (fabs x) 1))) (fma 0.3275911 (fabs x) 1)))))))

simplify4.0s

Counts
156 → 156
Iterations
IterNodes
done5000
24781
11127
0360

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 13.5b

regimes158.0ms

Accuracy

0% (0.1b remaining)

Error of 14.0b against oracle of 14.0b and baseline of 14.0b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done34
134
028

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s3974×body160valid
1.1s4026×body80valid