Details

Time bar (total: 18.7s)

sample60.0ms

Algorithm
intervals
Results
18.0ms120×body160valid
11.0ms136×body80valid

simplify940.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (213.0ms)

IterNodesCost
02664
18264
231355
3120954
done500054

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.3b

localize28.0ms

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)
13.2b
(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)

rewrite26.0ms

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:
11.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
10.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
1.0ms
(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)
1.0ms
(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)

series1.0s

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
29.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
296.0ms
(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)
686.0ms
(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)

simplify1.0s

Counts
90 → 90
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01382422
13012319
212142072
done50002038

prune704.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 13.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (fma (fabs x) 0.3275911 1.0))
0.3b
(* (cbrt (fma (fabs x) 0.3275911 1.0)) (cbrt (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) (* (/ (sqrt 1.0) (* (cbrt (fma (fabs x) 0.3275911 1.0)) (cbrt (fma (fabs x) 0.3275911 1.0)))) (/ (sqrt 1.0) (cbrt (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592)
13.2b
(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) (* (/ (sqrt 1.0) (* (cbrt (fma (fabs x) 0.3275911 1.0)) (cbrt (fma (fabs x) 0.3275911 1.0)))) (/ (sqrt 1.0) (cbrt (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×cbrt-prod
13×add-cube-cbrt *-un-lft-identity
11×pow1
7×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up fma-udef
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt (fma (fabs x) 0.3275911 1.0))
31.0ms
(* (cbrt (fma (fabs x) 0.3275911 1.0)) (cbrt (fma (fabs x) 0.3275911 1.0)))
1.0ms
(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) (* (/ (sqrt 1.0) (* (cbrt (fma (fabs x) 0.3275911 1.0)) (cbrt (fma (fabs x) 0.3275911 1.0)))) (/ (sqrt 1.0) (cbrt (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592)
1.0ms
(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) (* (/ (sqrt 1.0) (* (cbrt (fma (fabs x) 0.3275911 1.0)) (cbrt (fma (fabs x) 0.3275911 1.0)))) (/ (sqrt 1.0) (cbrt (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

series2.0s

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (fma (fabs x) 0.3275911 1.0))
215.0ms
(* (cbrt (fma (fabs x) 0.3275911 1.0)) (cbrt (fma (fabs x) 0.3275911 1.0)))
496.0ms
(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) (* (/ (sqrt 1.0) (* (cbrt (fma (fabs x) 0.3275911 1.0)) (cbrt (fma (fabs x) 0.3275911 1.0)))) (/ (sqrt 1.0) (cbrt (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592)
1.1s
(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) (* (/ (sqrt 1.0) (* (cbrt (fma (fabs x) 0.3275911 1.0)) (cbrt (fma (fabs x) 0.3275911 1.0)))) (/ (sqrt 1.0) (cbrt (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

simplify1.4s

Counts
87 → 87
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01423076
13382912
217352295
done50002187

prune723.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 13.2b

localize48.0ms

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)
13.2b
(+ (* (/ 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)

rewrite67.0ms

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* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×+-commutative fma-def flip3-+ sum-log flip-+ fma-udef
Counts
4 → 82
Calls
4 calls:
11.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
10.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
1.0ms
(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)
41.0ms
(+ (* (/ 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)

series1.1s

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
32.0ms
(/ 1.0 (fma (fabs x) 0.3275911 1.0))
342.0ms
(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)
642.0ms
(+ (* (/ 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)

simplify1.1s

Counts
94 → 94
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01482810
13652699
216402448
done50002446

prune757.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 13.2b

localize97.0ms

Local error

Found 4 expressions with local error:

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)
0.5b
(* (* (/ 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 (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)))))
0.7b
(pow (* (/ 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))))) 3)
12.7b
(+ (pow (* (/ 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))))) 3) (pow 1.0 3))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
140×add-cbrt-cube
120×add-exp-log
67×prod-exp cbrt-unprod
46×pow1
41×cbrt-undiv div-exp
18×frac-times pow-prod-down
12×associate-*r/ associate-*l/
8×fma-def *-un-lft-identity
6×add-sqr-sqrt add-cube-cbrt add-log-exp
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u
3×cube-div pow-unpow pow-exp rem-cube-cbrt
2×cube-mult unpow-prod-down pow-pow pow-plus unpow3 cube-prod distribute-neg-frac sqr-pow
1×+-commutative pow2 pow-to-exp flip3-+ swap-sqr associate-*r* associate-*l* cube-neg sum-log sum-cubes *-commutative distribute-rgt-neg-out flip-+ fma-udef distribute-lft-out
Counts
4 → 156
Calls
4 calls:
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)
175.0ms
(* (* (/ 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 (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)))))
28.0ms
(pow (* (/ 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))))) 3)
27.0ms
(+ (pow (* (/ 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))))) 3) (pow 1.0 3))

series2.8s

Counts
4 → 12
Calls
4 calls:
295.0ms
(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)
740.0ms
(* (* (/ 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 (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)))))
746.0ms
(pow (* (/ 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))))) 3)
1.0s
(+ (pow (* (/ 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))))) 3) (pow 1.0 3))

simplify753.0ms

Counts
168 → 168
Iterations

Useful iterations: done (731.0ms)

IterNodesCost
037818936
1130415634
done500110222

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 12.5b

regimes129.0ms

Accuracy

0% (0.0b remaining)

Error of 13.2b against oracle of 13.2b and baseline of 13.2b

bsearch0.0ms

simplify18.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
032219
139219
242219
344219
done44219

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s3955×body160valid
1.1s4045×body80valid