Details

Time bar (total: 24.0s)

sample145.0ms

Algorithm
intervals
Results
70.0ms140×body160valid
29.0ms116×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2013
42013
3964
2296
183
026

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.3b

localize60.0ms

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)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
15.2b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

rewrite29.0ms

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:
8.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
8.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
0.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
10.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

series881.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
36.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
316.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
495.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))

simplify1.7s

Counts
114 → 114
Iterations
IterNodes
done2002
32002
21505
1453
0183

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 15.2b

localize108.0ms

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)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
15.2b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
15.3b
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

rewrite38.0ms

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:
8.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
0.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
10.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
18.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
315.0ms
(fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)
514.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
585.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

simplify1.6s

Counts
104 → 104
Iterations
IterNodes
done2000
32000
21524
1497
0216

prune803.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 15.2b

localize93.0ms

Local error

Found 4 expressions with local error:

15.2b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
15.3b
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))
15.3b
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))
15.3b
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
15×add-sqr-sqrt *-un-lft-identity exp-sum add-cube-cbrt
12×prod-diff log-pow
9×exp-prod
7×pow1
6×add-log-exp
4×expm1-log1p-u sub-neg add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×log-div exp-diff fma-neg rem-log-exp
2×fma-udef associate--r+
1×distribute-rgt-in distribute-lft-in flip3-- diff-log flip--
Counts
4 → 95
Calls
4 calls:
5.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
9.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))
9.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))
17.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

series2.1s

Counts
4 → 12
Calls
4 calls:
522.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
561.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))
488.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))
541.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

simplify1.9s

Counts
107 → 107
Iterations
IterNodes
done2000
32000
21197
1370
0152

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 14.4b

localize173.0ms

Local error

Found 4 expressions with local error:

15.2b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
15.2b
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
15.3b
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))
15.3b
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
16×log-prod
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×prod-diff
10×exp-sum
8×log-pow add-log-exp
6×pow1 exp-prod fma-neg
4×expm1-log1p-u sub-neg add-cbrt-cube add-exp-log fma-udef insert-posit16 log1p-expm1-u associate--r+
2×distribute-rgt-in log-div distribute-lft-in flip3-- exp-diff diff-log rem-log-exp flip--
Counts
4 → 94
Calls
4 calls:
5.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
5.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
9.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))
11.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

series2.1s

Counts
4 → 12
Calls
4 calls:
503.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
502.0ms
(- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))
511.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))
551.0ms
(log (exp (- 1 (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (fma (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) (fma 0.3275911 (fabs x) 1)) 1.421413741) -0.284496736) (/ 1 (fma 0.3275911 (fabs x) 1)) 0.254829592)))))

simplify2.0s

Counts
106 → 106
Iterations
IterNodes
done2000
32000
21197
1370
0152

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.5b

regimes207.0ms

Accuracy

0% (0.0b remaining)

Error of 12.4b against oracle of 12.4b and baseline of 12.4b

bsearch0.0ms

simplify17.0ms

Iterations
IterNodes
done47
147
038

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.8s3957×body160valid
1.5s4043×body80valid