Details

Time bar (total: 31.1s)

sample152.0ms

Algorithm
intervals
Results
76.0ms129×body160valid
31.0ms127×body80valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5001
31820
2318
183
026

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize83.0ms

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)
14.2b
(- 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)))

rewrite15.0ms

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:
4.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
4.0ms
(/ 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)
5.0ms
(- 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)))

series862.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
39.0ms
(/ 1 (fma 0.3275911 (fabs x) 1))
337.0ms
(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)
440.0ms
(- 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)))

simplify2.4s

Counts
114 → 114
Iterations
IterNodes
done5000
22556
1470
0182

prune883.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 14.2b

localize83.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma 0.3275911 (fabs x) 1))
0.3b
(* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
14.2b
(- 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×cbrt-prod
15×*-un-lft-identity add-cube-cbrt
11×pow1
7×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log add-log-exp
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u unswap-sqr
3×fma-neg prod-diff fma-udef
2×pow-prod-down pow-sqr pow-prod-up associate--r+
1×pow2 distribute-rgt-in sub-neg distribute-lft-in pow-plus flip3-- diff-log prod-exp *-commutative cbrt-unprod flip--
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt (fma 0.3275911 (fabs x) 1))
15.0ms
(* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (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)) (fma (/ 1 (fma 0.3275911 (fabs x) 1)) (+ (/ 1.061405429 (fma 0.3275911 (fabs x) 1)) -1.453152027) 1.421413741) -0.284496736) (/ (/ 1 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)))

series1.2s

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (fma 0.3275911 (fabs x) 1))
191.0ms
(* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))
296.0ms
(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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
493.0ms
(- 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)))

simplify2.6s

Counts
103 → 103
Iterations
IterNodes
done5000
22896
1493
0187

prune730.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 14.2b

localize143.0ms

Local error

Found 4 expressions with local error:

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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
0.5b
(* (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)))
10.9b
(- (* 1 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592))))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
148×add-exp-log
96×prod-exp
84×add-cbrt-cube
72×div-exp
43×pow1
40×cbrt-unprod
24×cbrt-undiv
17×pow-prod-down
12×rec-exp 1-exp
10×fma-udef
8×distribute-rgt-in distribute-lft-in
6×add-log-exp
5×associate-*l/
4×add-sqr-sqrt expm1-log1p-u *-un-lft-identity pow-sqr pow-prod-up add-cube-cbrt insert-posit16 log1p-expm1-u associate--r+
2×pow-plus
1×pow2 frac-times sub-neg flip3-- fma-neg diff-log swap-sqr associate-*r* associate-*l* prod-diff associate-*r/ *-commutative flip-- difference-of-squares
Counts
4 → 132
Calls
4 calls:
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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
104.0ms
(* (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)))
119.0ms
(- (* 1 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592))))

series1.8s

Counts
4 → 12
Calls
4 calls:
281.0ms
(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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
313.0ms
(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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
619.0ms
(* (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)))
614.0ms
(- (* 1 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592))))

simplify3.8s

Counts
144 → 144
Iterations
IterNodes
done5000
11009
0318

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 10.9b

localize160.0ms

Local error

Found 4 expressions with local error:

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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
0.5b
(* (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (* (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)))))
10.9b
(- (* 1 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (* (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592))))))

rewrite364.0ms

Algorithm
rewrite-expression-head
Rules
304×add-exp-log
211×prod-exp
162×add-cbrt-cube
138×div-exp
85×cbrt-unprod
45×cbrt-undiv
25×pow1
23×rec-exp 1-exp
15×pow-prod-down
6×add-log-exp
5×associate-*l/
4×add-sqr-sqrt expm1-log1p-u *-un-lft-identity add-cube-cbrt insert-posit16 log1p-expm1-u
2×fma-udef
1×frac-times sub-neg flip3-- fma-neg diff-log associate-*r* associate-*l* prod-diff associate-*r/ *-commutative flip--
Counts
4 → 155
Calls
4 calls:
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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
205.0ms
(* (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (* (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)))))
149.0ms
(- (* 1 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (* (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
288.0ms
(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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
301.0ms
(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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)
559.0ms
(* (* (/ (/ 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (* (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)))))
582.0ms
(- (* 1 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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (* (/ (/ 1 (fma 0.3275911 (fabs x) 1)) (exp (* (fabs x) (fabs x)))) (* (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592)) (sqrt (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 (* (cbrt (fma 0.3275911 (fabs x) 1)) (cbrt (fma 0.3275911 (fabs x) 1)))) (cbrt (fma 0.3275911 (fabs x) 1))) 0.254829592))))))

simplify3.4s

Counts
167 → 167
Iterations
IterNodes
done5000
11353
0372

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

regimes199.0ms

Accuracy

0% (0.0b remaining)

Error of 0.8b against oracle of 0.8b and baseline of 0.8b

bsearch0.0ms

simplify58.0ms

Iterations
IterNodes
done67
367
264
150
035

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.3s3828×body160valid
1.1s4172×body80valid