Details

Time bar (total: 1.3m)

sample113.0ms

Algorithm
intervals
Results
93.0ms446×body80valid

simplify3.3s

Counts
1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize111.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.3b
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 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)))))

rewrite10.9s

Algorithm
rewrite-expression-head
Rules
181×add-exp-log
128×prod-exp
107×add-cbrt-cube
70×cbrt-unprod
51×pow1
48×associate-*l*
46×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity pow-prod-down
33×add-cube-cbrt
19×div-exp
15×associate-*l/
14×sqrt-prod
12×frac-add
11×cbrt-undiv
8×rec-exp 1-exp
6×frac-times flip3-+ 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 → 195
Calls
4 calls:
Slowest
9.0s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.9s
(* (/ 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
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series544.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
373.0ms
(* (/ 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)))))
99.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
72.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.8s

Counts
205 → 205

prune3.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)
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)))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) (fabs x))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
40×add-sqr-sqrt
39×add-cbrt-cube
36×associate-*l*
31×times-frac
29×*-un-lft-identity
27×add-cube-cbrt
25×pow1
22×prod-exp
20×cbrt-unprod
14×sqrt-prod
13×pow-prod-down
7×associate-*r*
5×div-exp unswap-sqr
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×frac-times flip3-+ associate-*l/ associate-*r/ flip-+ div-inv
1×distribute-rgt-in rem-sqrt-square rec-exp distribute-lft-in sqrt-pow1 pow1/2 1-exp
Counts
4 → 136
Calls
4 calls:
Slowest
846.0ms
(* (/ 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)))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) (fabs x))))
92.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
86.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)
2.0ms
(sqrt PI)

series456.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
351.0ms
(* (/ 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)))) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) (fabs x))))
55.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
50.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)
0.0ms
(sqrt PI)

simplify2.0s

Counts
146 → 146

prune2.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.3b
(* 1/21 (pow (fabs x) 7))
0.2b
(* (/ 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 (pow (fabs x) 7))))

rewrite704.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
39×add-exp-log
38×associate-*l*
32×add-cbrt-cube
31×*-un-lft-identity times-frac
29×add-cube-cbrt
19×prod-exp
16×pow1
15×cbrt-unprod
14×sqrt-prod
11×associate-*r*
8×unswap-sqr
7×pow-prod-down
5×div-exp
4×expm1-log1p-u cbrt-undiv unpow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×frac-times flip3-+ associate-*l/ associate-*r/ flip-+ div-inv sqr-pow
1×distribute-rgt-in pow-to-exp rem-sqrt-square rec-exp distribute-lft-in sqrt-pow1 pow1/2 1-exp pow-exp
Counts
4 → 140
Calls
4 calls:
Slowest
633.0ms
(* (/ 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 (pow (fabs x) 7))))
52.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
14.0ms
(* 1/21 (pow (fabs x) 7))
2.0ms
(sqrt PI)

series519.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
363.0ms
(* (/ 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 (pow (fabs x) 7))))
84.0ms
(* 1/21 (pow (fabs x) 7))
72.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.6s

Counts
150 → 150

prune2.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize132.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.3b
(* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
0.2b
(* (/ 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 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))

rewrite29.7s

Algorithm
rewrite-expression-head
Rules
771×add-exp-log
580×prod-exp
231×add-cbrt-cube
156×cbrt-unprod
119×div-exp
60×pow1
58×rec-exp 1-exp
57×associate-*l*
52×add-sqr-sqrt
49×times-frac
43×pow-prod-down
41×*-un-lft-identity associate-*l/
39×add-cube-cbrt
36×frac-add
33×cbrt-undiv
23×frac-times associate-*r/ sqrt-prod
14×flip3-+ 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 → 327
Calls
4 calls:
Slowest
25.4s
(* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
4.2s
(* (/ 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 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
53.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series772.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
492.0ms
(* (/ 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 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))
222.0ms
(* (/ 1 (sqrt 21)) (* (/ 1 (sqrt 21)) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
58.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.2s

Counts
337 → 337

prune6.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.2b remaining)

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

bsearch7.0ms

end0.0ms

sample5.1s

Algorithm
intervals
Results
4.8s14042×body80valid