Details

Time bar (total: 43.1s)

sample153.0ms

Algorithm
intervals
Results
126.0ms476×body80valid

simplify4.5s

Counts
1 → 1

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize91.0ms

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 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))

rewrite792.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
75×add-cbrt-cube prod-exp
53×pow1
45×cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
13×div-exp
8×cbrt-undiv
6×pow-plus pow-prod-up
5×rec-exp 1-exp associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod
2×pow2 associate-*l/ pow-sqr div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 unswap-sqr
Counts
4 → 149
Calls
4 calls:
Slowest
678.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
78.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0ms
(sqrt PI)

series158.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
75.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
55.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
27.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify1.3s

Counts
159 → 159

prune2.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
134×pow1
85×add-sqr-sqrt
83×*-un-lft-identity add-cube-cbrt
39×add-cbrt-cube add-exp-log sqrt-prod
36×pow-prod-down pow-prod-up
24×associate-/r*
22×pow-sqr
21×prod-exp cbrt-unprod
18×pow-plus
13×pow2
9×associate-/r/
5×div-inv
4×expm1-log1p-u flip3-+ associate-*r* flip-+ insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×associate-*l* *-commutative fma-udef unswap-sqr
1×distribute-rgt-in rem-sqrt-square clear-num frac-2neg distribute-lft-in sqrt-pow1 pow1/2 swap-sqr
Counts
4 → 232
Calls
4 calls:
Slowest
88.0ms
(* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma 1/21 (* (fabs x) (fabs x)) 1/5))
28.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
14.0ms
(/ (fabs x) (/ (sqrt PI) (+ (fma 2/3 (* (fabs x) (fabs x)) 2) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma 1/21 (* (fabs x) (fabs x)) 1/5)))))
1.0ms
(sqrt PI)

series465.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
299.0ms
(/ (fabs x) (/ (sqrt PI) (+ (fma 2/3 (* (fabs x) (fabs x)) 2) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma 1/21 (* (fabs x) (fabs x)) 1/5)))))
129.0ms
(* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma 1/21 (* (fabs x) (fabs x)) 1/5))
36.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify2.1s

Counts
242 → 242

prune3.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt PI)
1.0b
(cbrt PI)
0.5b
(/ (fabs x) (fabs (cbrt PI)))
0.3b
(/ (/ (fabs x) (fabs (cbrt PI))) (/ (sqrt (cbrt PI)) (+ (fma 2/3 (* (fabs x) (fabs x)) 2) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma 1/21 (* (fabs x) (fabs x)) 1/5)))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
1122×times-frac
518×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
252×sqrt-prod
132×cbrt-prod
50×div-inv
36×associate-/r*
29×associate-/r/
18×add-cbrt-cube add-exp-log
16×associate-/l*
14×flip3-+ flip-+
9×cbrt-undiv div-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg pow1/3
1×associate-/l/
Counts
4 → 556
Calls
4 calls:
Slowest
28.0ms
(/ (/ (fabs x) (fabs (cbrt PI))) (/ (sqrt (cbrt PI)) (+ (fma 2/3 (* (fabs x) (fabs x)) 2) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma 1/21 (* (fabs x) (fabs x)) 1/5)))))
7.0ms
(/ (fabs x) (fabs (cbrt PI)))
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)

series1.2s

Counts
4 → 8
Calls
4 calls:
Slowest
1.1s
(/ (/ (fabs x) (fabs (cbrt PI))) (/ (sqrt (cbrt PI)) (+ (fma 2/3 (* (fabs x) (fabs x)) 2) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma 1/21 (* (fabs x) (fabs x)) 1/5)))))
90.0ms
(/ (fabs x) (fabs (cbrt PI)))
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)

simplify2.8s

Counts
564 → 564

prune10.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize104.0ms

Local error

Found 4 expressions with local error:

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

rewrite722.0ms

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:
Slowest
656.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
60.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)
0.0ms
(expm1 (log1p (sqrt PI)))

series146.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
85.0ms
(* (/ 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)
0.0ms
(expm1 (log1p (sqrt PI)))

simplify3.4s

Counts
138 → 138

prune2.8s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes382.0ms

Accuracy

0% (0.2b remaining)

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

bsearch21.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
4.9s13996×body80valid