Details

Time bar (total: 1.0m)

sample201.0ms

Algorithm
intervals
Results
172.0ms478×body80valid

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
45540
31250
2261
175
028

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.5s

Algorithm
rewrite-expression-head
Rules
257×add-exp-log
184×prod-exp
147×add-cbrt-cube
98×cbrt-unprod
69×pow1
49×pow-prod-down
39×associate-*l*
27×add-sqr-sqrt times-frac div-exp
26×*-un-lft-identity add-cube-cbrt
15×cbrt-undiv
12×rec-exp 1-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l/ *-commutative sqrt-prod div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 193
Calls
4 calls:
9.6s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
735.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
85.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series249.0ms

Counts
4 → 10
Calls
4 calls:
94.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
86.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
69.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.5s

Counts
203 → 203
Iterations
IterNodes
22546
1959
0329

prune3.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize130.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.9s

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
31×associate-*l/
28×frac-add
19×div-exp
16×sqrt-div
14×frac-times associate-*r/ sqrt-prod
11×cbrt-undiv
10×flip3-+ flip-+
8×rec-exp 1-exp
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 → 203
Calls
4 calls:
2.5s
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (sqrt (/ 1 5)) (* (sqrt (/ 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)))))
9.3s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
59.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series655.0ms

Counts
4 → 10
Calls
4 calls:
482.0ms
(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (sqrt (/ 1 5)) (* (sqrt (/ 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)))))
93.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
79.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.3s

Counts
213 → 213
Iterations
IterNodes
25219
11531
0442

prune4.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b
(* 2/3 (* (fabs x) (fabs x)))
0.3b
(/ (fma (* (* (fabs x) (fabs x)) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) 1/21)) (fabs x) (fma 1/5 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x))))))) (sqrt PI))
1.0b
(sqrt PI)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
121×pow1
36×pow-prod-up
26×pow-prod-down
23×add-sqr-sqrt add-cbrt-cube add-exp-log
22×pow-sqr
21×*-un-lft-identity add-cube-cbrt
18×times-frac pow-plus
15×sqrt-prod
13×pow2
11×prod-exp cbrt-unprod
6×associate-/r*
4×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×associate-*r* *-commutative unswap-sqr
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 swap-sqr div-exp div-inv
Counts
4 → 146
Calls
4 calls:
38.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
16.0ms
(* 2/3 (* (fabs x) (fabs x)))
5.0ms
(/ (fma (* (* (fabs x) (fabs x)) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) 1/21)) (fabs x) (fma 1/5 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x))))))) (sqrt PI))
1.0ms
(sqrt PI)

series486.0ms

Counts
4 → 10
Calls
4 calls:
44.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
37.0ms
(* 2/3 (* (fabs x) (fabs x)))
404.0ms
(/ (fma (* (* (fabs x) (fabs x)) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) 1/21)) (fabs x) (fma 1/5 (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (+ 2 (* 2/3 (* (fabs x) (fabs x))))))) (sqrt PI))
0.0ms
(sqrt PI)

simplify2.2s

Counts
156 → 156
Iterations
IterNodes
33911
2972
1390
0172

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize135.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(expm1 (log1p (sqrt PI)))
1.0b
(sqrt PI)

rewrite776.0ms

Algorithm
rewrite-expression-head
Rules
110×add-exp-log
72×prod-exp
70×add-cbrt-cube
42×cbrt-unprod
34×pow1
26×associate-*l*
21×pow-prod-down
20×add-sqr-sqrt
19×*-un-lft-identity add-cube-cbrt
18×times-frac
13×div-exp
8×cbrt-undiv
5×rec-exp 1-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod
2×associate-*r* associate-*l/ *-commutative div-inv
1×rem-sqrt-square expm1-log1p sqrt-pow1 pow1/2 expm1-udef
Counts
4 → 130
Calls
4 calls:
717.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
55.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(expm1 (log1p (sqrt PI)))
1.0ms
(sqrt PI)

series132.0ms

Counts
4 → 8
Calls
4 calls:
78.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
55.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(expm1 (log1p (sqrt PI)))
0.0ms
(sqrt PI)

simplify4.1s

Counts
138 → 138
Iterations
IterNodes
36131
21601
1533
0215

prune3.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
249
149
030

end0.0ms

sample4.8s

Algorithm
intervals
Results
4.5s13877×body80valid