Details

Time bar (total: 1.3m)

sample163.0ms

Algorithm
intervals
Results
134.0ms478×body80valid

simplify772.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
772.0ms
(fabs (* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.1b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
119×add-exp-log
76×prod-exp
75×add-cbrt-cube
48×associate-*l*
46×add-sqr-sqrt
44×cbrt-unprod
40×times-frac
36×pow1
35×*-un-lft-identity
33×add-cube-cbrt
22×pow-prod-down
15×div-exp associate-*l/
14×sqrt-prod
12×frac-add
9×cbrt-undiv
6×frac-times rec-exp flip3-+ 1-exp associate-*r/ flip-+
5×associate-*r* unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 181
Calls
4 calls:
Slowest
1.7s
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
645.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
75.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series512.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
374.0ms
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
77.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
61.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify34.8s

Counts
151 → 191
Calls
151 calls:
Slowest
1.0s
(* 1 (- (* (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) (* (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
996.0ms
(* (+ (* (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))))) (- (* (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) 21)
956.0ms
(* 1 (+ (pow (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) 3) (pow (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) 3)))
953.0ms
(* (sqrt PI) (* (+ (* (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))))) (- (* (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))) 21))
931.0ms
(* 1 (+ (* (- (* (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x))))) (* (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))) 21) (* (- (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* 1 (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))

prune3.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (fabs x) (fabs x)) 2/3)
0.1b
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2)))))
0.0b
(fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2)))
0.0b
(* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
20×associate-*l*
17×*-un-lft-identity
16×add-cube-cbrt sqrt-prod
13×pow1 add-cbrt-cube add-exp-log
11×times-frac
9×associate-*r*
6×unswap-sqr
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative fma-udef
2×distribute-rgt-in distribute-lft-in associate-*r/
1×flip3-+ sqrt-div associate-*l/ flip-+ div-inv
Counts
4 → 98
Calls
4 calls:
Slowest
84.0ms
(* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2))
25.0ms
(* (* (fabs x) (fabs x)) 2/3)
17.0ms
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2)))))
0.0ms
(fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2)))

series588.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
319.0ms
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2)))))
147.0ms
(fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2)))
68.0ms
(* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2))
54.0ms
(* (* (fabs x) (fabs x)) 2/3)

simplify8.9s

Counts
69 → 110
Calls
69 calls:
Slowest
468.0ms
(* (fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2))) (sqrt (/ 1 PI)))
420.0ms
(* (+ 2 (* 2/3 (pow (fabs x) 2))) (fabs x))
400.0ms
(* (sqrt (/ 1 PI)) (fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2))))
400.0ms
(* (+ 2 (* 2/3 (pow (fabs x) 2))) (fabs x))
342.0ms
(* (* (* (sqrt (/ 1 PI)) (sqrt (/ 1 PI))) (sqrt (/ 1 PI))) (* (* (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2)))) (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2))))) (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fabs x) (+ (* (* (fabs x) (fabs x)) 2/3) 2))))))

prune1.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.3b
(/ (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))) (sqrt PI))
0.1b
(fma 2/3 (* (fabs x) (fabs x)) 2)
0.0b
(fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
15×sqrt-prod
6×associate-/r* add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×fma-udef
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 80
Calls
4 calls:
Slowest
10.0ms
(/ (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))) (sqrt PI))
2.0ms
(sqrt PI)
0.0ms
(fma 2/3 (* (fabs x) (fabs x)) 2)
0.0ms
(fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))

series535.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
324.0ms
(/ (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))) (sqrt PI))
150.0ms
(fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))
60.0ms
(fma 2/3 (* (fabs x) (fabs x)) 2)
0.0ms
(sqrt PI)

simplify13.0s

Counts
60 → 90
Calls
60 calls:
Slowest
647.0ms
(/ (cbrt (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x))))) (sqrt PI))
452.0ms
(/ (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))) (sqrt PI))
411.0ms
(/ (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))) (sqrt PI))
408.0ms
(- (log (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x))))) (log (sqrt PI)))
407.0ms
(/ (sqrt (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x))))) (sqrt PI))

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
0.3b
(/ (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))
0.1b
(fma 2/3 (* (fabs x) (fabs x)) 2)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity add-cube-cbrt
6×pow1 sqrt-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod fma-udef div-inv
Counts
4 → 67
Calls
4 calls:
Slowest
21.0ms
(/ (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(fma 2/3 (* (fabs x) (fabs x)) 2)

series408.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
362.0ms
(/ (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))) (* (sqrt (sqrt PI)) (sqrt (sqrt PI))))
46.0ms
(fma 2/3 (* (fabs x) (fabs x)) 2)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify4.2s

Counts
27 → 75
Calls
27 calls:
Slowest
441.0ms
(* (cbrt (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x))))) (cbrt (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x))))))
430.0ms
(/ (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))) (sqrt (sqrt PI)))
395.0ms
(/ (* (cbrt (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x))))) (cbrt (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))))) (sqrt (sqrt PI)))
339.0ms
(sqrt (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))))
266.0ms
(/ (* (* (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x)))) (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x))))) (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fma 2/3 (* (fabs x) (fabs x)) 2) (fabs x))))) (* (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (sqrt (sqrt PI))) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (sqrt (sqrt PI)))))

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes298.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch13.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
5.2s14049×body80valid