Details

Time bar (total: 28.6s)

sample92.0ms

Algorithm
intervals
Results
31.0ms86×body1280valid
19.0ms88×body10240exit
11.0ms54×body640valid
4.0ms35×body320valid
2.0ms66×body80valid
1.0ms15×body160valid

simplify23.0ms

Counts
1 → 1
Iterations
IterNodes
done8
28
17
05

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp x) (- (exp x) 1.0))
4.6b
(- (exp x) 1.0)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
15×times-frac
9×prod-diff
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×fma-neg add-exp-log associate-/l*
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 69
Calls
2 calls:
59.0ms
(/ (exp x) (- (exp x) 1.0))
34.0ms
(- (exp x) 1.0)

series93.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (exp x) (- (exp x) 1.0))
20.0ms
(- (exp x) 1.0)

simplify3.5s

Counts
75 → 75
Iterations
IterNodes
done5050
32105
2676
1254
0119

prune547.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (exp x) (fma (* x x) (fma 1/6 x 1/2) x))
0.0b
(fma (* x x) (fma 1/6 x 1/2) x)
0.1b
(fma 1/6 x 1/2)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube
4×add-exp-log
3×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 52
Calls
3 calls:
15.0ms
(/ (exp x) (fma (* x x) (fma 1/6 x 1/2) x))
2.0ms
(fma (* x x) (fma 1/6 x 1/2) x)
2.0ms
(fma 1/6 x 1/2)

series176.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(/ (exp x) (fma (* x x) (fma 1/6 x 1/2) x))
46.0ms
(fma (* x x) (fma 1/6 x 1/2) x)
46.0ms
(fma 1/6 x 1/2)

simplify7.5s

Counts
61 → 61
Iterations
IterNodes
done5157
32669
2609
1196
0100

prune670.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (fma (* x x) (fma 1/6 x 1/2) x)))
0.0b
(fma (* x x) (fma 1/6 x 1/2) x)
0.0b
(* (cbrt (exp x)) (cbrt (exp x)))
0.1b
(fma 1/6 x 1/2)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×associate-*r*
26×cbrt-prod
25×*-un-lft-identity add-cube-cbrt
20×times-frac
18×add-exp-log
16×pow1
10×add-cbrt-cube
7×associate-*l* prod-exp cbrt-unprod unswap-sqr
6×pow1/3 swap-sqr
5×pow-prod-down
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp pow-sqr *-commutative pow-prod-up fma-udef
1×pow2 pow-plus associate-*r/ div-inv
Counts
4 → 113
Calls
4 calls:
120.0ms
(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (fma (* x x) (fma 1/6 x 1/2) x)))
2.0ms
(fma (* x x) (fma 1/6 x 1/2) x)
22.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
1.0ms
(fma 1/6 x 1/2)

series417.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (fma (* x x) (fma 1/6 x 1/2) x)))
60.0ms
(fma (* x x) (fma 1/6 x 1/2) x)
191.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
67.0ms
(fma 1/6 x 1/2)

simplify4.5s

Counts
125 → 125
Iterations
IterNodes
done5002
21527
1487
0180

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp x) (exp x) (* 1.0 (+ (exp x) 1.0)))
0.0b
(/ (exp x) (/ (- (exp (fma 2 x x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* 1.0 (+ (exp x) 1.0)))))
0.0b
(/ (- (exp (fma 2 x x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* 1.0 (+ (exp x) 1.0))))
4.6b
(- (exp (fma 2 x x)) (* 1.0 (* 1.0 1.0)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
56×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
11×add-cbrt-cube
9×add-exp-log
6×div-inv associate-/l* add-log-exp
4×expm1-log1p-u pow1 cbrt-undiv fma-neg div-exp prod-diff insert-posit16 log1p-expm1-u
3×fma-udef
2×clear-num frac-2neg flip3-- exp-sum flip-- associate-/l/
1×sub-neg diff-log div-sub associate-/r/
Counts
4 → 140
Calls
4 calls:
1.0ms
(fma (exp x) (exp x) (* 1.0 (+ (exp x) 1.0)))
43.0ms
(/ (exp x) (/ (- (exp (fma 2 x x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* 1.0 (+ (exp x) 1.0)))))
71.0ms
(/ (- (exp (fma 2 x x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* 1.0 (+ (exp x) 1.0))))
18.0ms
(- (exp (fma 2 x x)) (* 1.0 (* 1.0 1.0)))

series746.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(fma (exp x) (exp x) (* 1.0 (+ (exp x) 1.0)))
310.0ms
(/ (exp x) (/ (- (exp (fma 2 x x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* 1.0 (+ (exp x) 1.0)))))
270.0ms
(/ (- (exp (fma 2 x x)) (* 1.0 (* 1.0 1.0))) (fma (exp x) (exp x) (* 1.0 (+ (exp x) 1.0))))
46.0ms
(- (exp (fma 2 x x)) (* 1.0 (* 1.0 1.0)))

simplify4.0s

Counts
152 → 152
Iterations
IterNodes
done5000
21982
1634
0245

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.2s2277×body1280valid
648.0ms2632×body10240exit
375.0ms1637×body640valid
174.0ms821×body320valid
104.0ms2860×body80valid
72.0ms406×body160valid