Details

Time bar (total: 39.1s)

sample197.0ms

Algorithm
intervals
Results
165.0ms437×body80valid

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
45540
31250
2261
175
028

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize88.0ms

Local error

Found 4 expressions with local error:

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

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:
687.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.8s
(* (/ 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)))))
66.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series612.0ms

Counts
4 → 10
Calls
4 calls:
107.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
446.0ms
(* (/ 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)))))
59.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.2s

Counts
191 → 191
Iterations
IterNodes
24732
11236
0362

prune3.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt PI)
1.0b
(cbrt PI)
1.0b
(/ 1 (sqrt (* (cbrt PI) (cbrt PI))))
1.0b
(sqrt (* (cbrt PI) (cbrt PI)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
18×sqrt-pow1
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
14×pow1/3
12×times-frac
11×pow-flip
8×add-exp-log
6×cbrt-prod add-cbrt-cube
5×sqrt-prod
4×expm1-log1p-u associate-/r* pow-prod-down pow-sqr pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×pow2 pow-plus pow1/2 div-exp
1×cbrt-undiv rem-sqrt-square rec-exp clear-num frac-2neg 1-exp div-inv inv-pow
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)
12.0ms
(/ 1 (sqrt (* (cbrt PI) (cbrt PI))))
10.0ms
(sqrt (* (cbrt PI) (cbrt PI)))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)
0.0ms
(/ 1 (sqrt (* (cbrt PI) (cbrt PI))))
0.0ms
(sqrt (* (cbrt PI) (cbrt PI)))

simplify4.8s

Counts
102 → 102
Iterations
IterNodes
56362
41953
3762
2374
1200
0113

prune1.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (/ (fabs x) (fabs (cbrt PI))) (fma (fma 1/21 (* (fabs x) (fabs x)) 1/5) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) 2/3 2))) (sqrt (cbrt PI)))
0.4b
(/ (fabs x) (fabs (cbrt PI)))
1.0b
(cbrt PI)
1.0b
(cbrt PI)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
15×add-cbrt-cube add-exp-log
12×cbrt-prod associate-/r* sqrt-prod
5×cbrt-undiv div-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×clear-num frac-2neg pow1/3 prod-exp cbrt-unprod div-inv
1×associate-*l/ associate-/l/
Counts
4 → 97
Calls
4 calls:
26.0ms
(/ (* (/ (fabs x) (fabs (cbrt PI))) (fma (fma 1/21 (* (fabs x) (fabs x)) 1/5) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) 2/3 2))) (sqrt (cbrt PI)))
9.0ms
(/ (fabs x) (fabs (cbrt PI)))
1.0ms
(cbrt PI)
2.0ms
(cbrt PI)

series1.3s

Counts
4 → 8
Calls
4 calls:
1.1s
(/ (* (/ (fabs x) (fabs (cbrt PI))) (fma (fma 1/21 (* (fabs x) (fabs x)) 1/5) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) 2/3 2))) (sqrt (cbrt PI)))
137.0ms
(/ (fabs x) (fabs (cbrt PI)))
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)

simplify4.1s

Counts
105 → 105
Iterations
IterNodes
38235
21424
1391
0169

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (fabs x) (fabs (cbrt PI))) (/ (fma (fma 1/21 (* (fabs x) (fabs x)) 1/5) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) 2/3 2)) (sqrt (cbrt PI))))
0.4b
(/ (fabs x) (fabs (cbrt PI)))
1.0b
(cbrt PI)
1.0b
(cbrt PI)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
55×times-frac
40×*-un-lft-identity add-cube-cbrt
31×associate-*r*
22×sqrt-prod
18×add-cbrt-cube add-exp-log
17×cbrt-prod
13×associate-*l*
8×unswap-sqr
6×pow1
5×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* div-inv associate-/l*
2×pow1/3
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 133
Calls
4 calls:
23.0ms
(* (/ (fabs x) (fabs (cbrt PI))) (/ (fma (fma 1/21 (* (fabs x) (fabs x)) 1/5) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) 2/3 2)) (sqrt (cbrt PI))))
9.0ms
(/ (fabs x) (fabs (cbrt PI)))
1.0ms
(cbrt PI)
2.0ms
(cbrt PI)

series896.0ms

Counts
4 → 8
Calls
4 calls:
786.0ms
(* (/ (fabs x) (fabs (cbrt PI))) (/ (fma (fma 1/21 (* (fabs x) (fabs x)) 1/5) (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) 2/3 2)) (sqrt (cbrt PI))))
110.0ms
(/ (fabs x) (fabs (cbrt PI)))
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)

simplify948.0ms

Counts
141 → 141
Iterations
IterNodes
22268
1613
0215

prune2.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes381.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify21.0ms

Iterations
IterNodes
246
146
028

end0.0ms

sample5.0s

Algorithm
intervals
Results
4.8s14044×body80valid