Details

Time bar (total: 54.1s)

sample171.0ms

Algorithm
intervals
Results
140.0ms457×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
45586
31256
2259
173
028

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize93.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.5s

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 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 → 191
Calls
4 calls:
1.4s
(* (/ 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)))
8.0s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series561.0ms

Counts
4 → 10
Calls
4 calls:
402.0ms
(* (/ 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)))))
61.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
99.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.2s

Counts
201 → 201
Iterations
IterNodes
24810
11358
0396

prune3.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* (* (fabs x) (fabs x)) 2/3) (fabs x) (* 1/21 (pow (fabs x) 7)))
0.1b
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma (* (* (fabs x) (fabs x)) 2/3) (fabs x) (* 1/21 (pow (fabs x) 7))))))
0.2b
(* (* (fabs x) (fabs x)) 2/3)
0.3b
(* 1/21 (pow (fabs x) 7))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
20×associate-*l*
18×*-un-lft-identity
17×add-cube-cbrt
16×add-exp-log sqrt-prod
13×add-cbrt-cube associate-*r*
11×pow1 times-frac
8×unswap-sqr
7×prod-exp
5×cbrt-unprod
4×expm1-log1p-u unpow-prod-down pow-prod-down log1p-expm1-u add-log-exp
3×*-commutative fma-udef
2×sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in sqrt-div associate-*l/ pow-exp div-inv
Counts
4 → 97
Calls
4 calls:
0.0ms
(fma (* (* (fabs x) (fabs x)) 2/3) (fabs x) (* 1/21 (pow (fabs x) 7)))
20.0ms
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma (* (* (fabs x) (fabs x)) 2/3) (fabs x) (* 1/21 (pow (fabs x) 7))))))
18.0ms
(* (* (fabs x) (fabs x)) 2/3)
7.0ms
(* 1/21 (pow (fabs x) 7))

series709.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(fma (* (* (fabs x) (fabs x)) 2/3) (fabs x) (* 1/21 (pow (fabs x) 7)))
425.0ms
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma (* (* (fabs x) (fabs x)) 2/3) (fabs x) (* 1/21 (pow (fabs x) 7))))))
36.0ms
(* (* (fabs x) (fabs x)) 2/3)
90.0ms
(* 1/21 (pow (fabs x) 7))

simplify2.5s

Counts
109 → 109
Iterations
IterNodes
33331
21048
1381
0183

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma (* (* (fabs x) (fabs x)) 2/3) (fabs x) (* (* 1/21 (sqrt (pow (fabs x) 7))) (sqrt (pow (fabs x) 7)))))))
0.2b
(* (* (fabs x) (fabs x)) 2/3)
7.5b
(sqrt (pow (fabs x) 7))
7.5b
(sqrt (pow (fabs x) 7))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×sqrt-prod
19×*-un-lft-identity
18×add-cube-cbrt
17×associate-*l*
11×pow1 times-frac add-cbrt-cube add-exp-log
8×unpow-prod-down
6×rem-sqrt-square associate-*r*
5×unswap-sqr
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp sqr-pow
2×sqrt-pow1 pow1/2 *-commutative fma-udef
1×distribute-rgt-in distribute-lft-in sqrt-div associate-*l/ div-inv
Counts
4 → 102
Calls
4 calls:
10.0ms
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma (* (* (fabs x) (fabs x)) 2/3) (fabs x) (* (* 1/21 (sqrt (pow (fabs x) 7))) (sqrt (pow (fabs x) 7)))))))
31.0ms
(* (* (fabs x) (fabs x)) 2/3)
3.0ms
(sqrt (pow (fabs x) 7))
2.0ms
(sqrt (pow (fabs x) 7))

series647.0ms

Counts
4 → 12
Calls
4 calls:
408.0ms
(* (sqrt (/ 1 PI)) (fma 1/5 (pow (fabs x) 5) (fma 2 (fabs x) (fma (* (* (fabs x) (fabs x)) 2/3) (fabs x) (* (* 1/21 (sqrt (pow (fabs x) 7))) (sqrt (pow (fabs x) 7)))))))
54.0ms
(* (* (fabs x) (fabs x)) 2/3)
99.0ms
(sqrt (pow (fabs x) 7))
85.0ms
(sqrt (pow (fabs x) 7))

simplify2.2s

Counts
114 → 114
Iterations
IterNodes
32958
2906
1323
0159

prune2.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.1s

Algorithm
rewrite-expression-head
Rules
181×add-exp-log
128×prod-exp
107×add-cbrt-cube
70×cbrt-unprod
51×pow1
46×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity pow-prod-down
33×add-cube-cbrt
29×associate-*l*
24×associate-*r*
20×associate-*l/
19×div-exp
14×sqrt-prod
12×frac-add
11×cbrt-undiv
8×rec-exp 1-exp
6×frac-times flip3-+ flip-+
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ un-div-inv
Counts
4 → 190
Calls
4 calls:
1.2s
(* (+ (+ (+ (* 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 (sqrt PI)))
51.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
7.8s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series547.0ms

Counts
4 → 10
Calls
4 calls:
370.0ms
(* (+ (+ (+ (* 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 (sqrt PI)))
74.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
103.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.5s

Counts
200 → 200
Iterations
IterNodes
24078
11207
0399

prune3.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
228
128
024

end0.0ms

sample5.5s

Algorithm
intervals
Results
5.2s14111×body80valid