Details

Time bar (total: 25.8s)

sample82.0ms

Algorithm
intervals
Results
54.0ms446×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5001
31049
2250
170
028

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize129.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite908.0ms

Algorithm
rewrite-expression-head
Rules
75×add-cbrt-cube add-exp-log
53×pow1
45×prod-exp cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
8×cbrt-undiv div-exp
6×pow-plus pow-prod-up
5×associate-*r*
4×expm1-log1p-u 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 → 135
Calls
4 calls:
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
794.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
73.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series176.0ms

Counts
4 → 10
Calls
4 calls:
39.0ms
(* (* (fabs x) (fabs x)) (fabs x))
83.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
53.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.8s

Counts
145 → 145
Iterations
IterNodes
done5000
24171
1644
0224

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize106.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite885.0ms

Algorithm
rewrite-expression-head
Rules
75×add-cbrt-cube add-exp-log
53×pow1
45×prod-exp cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
8×cbrt-undiv div-exp
6×pow-plus pow-prod-up
5×associate-*r*
4×expm1-log1p-u 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 → 135
Calls
4 calls:
15.0ms
(* (* (fabs x) (fabs x)) (fabs x))
768.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
93.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series184.0ms

Counts
4 → 10
Calls
4 calls:
42.0ms
(* (* (fabs x) (fabs x)) (fabs x))
69.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
72.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.7s

Counts
145 → 145
Iterations
IterNodes
done5000
24329
1667
0226

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (* (fabs x) (fma (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0)))) (fma (/ 2.0 3.0) (* (fabs x) (fabs x)) 2.0))))
0.2b
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
0.2b
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
1.0b
(sqrt PI)

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
33×add-cbrt-cube add-exp-log
31×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity add-cube-cbrt
24×associate-*l*
20×pow1
17×associate-*r*
15×prod-exp cbrt-unprod
12×sqrt-prod
9×pow-prod-down
5×distribute-rgt-in distribute-lft-in associate-*r/
4×expm1-log1p-u cbrt-undiv div-exp fma-udef log1p-expm1-u add-log-exp
3×*-commutative unswap-sqr
2×div-inv
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 associate-*l/ frac-add flip-+
Counts
4 → 126
Calls
4 calls:
42.0ms
(* (/ 1.0 (sqrt PI)) (* (fabs x) (fma (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0)))) (fma (/ 2.0 3.0) (* (fabs x) (fabs x)) 2.0))))
20.0ms
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
103.0ms
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
2.0ms
(sqrt PI)

series850.0ms

Counts
4 → 10
Calls
4 calls:
362.0ms
(* (/ 1.0 (sqrt PI)) (* (fabs x) (fma (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0)))) (fma (/ 2.0 3.0) (* (fabs x) (fabs x)) 2.0))))
38.0ms
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
449.0ms
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
0.0ms
(sqrt PI)

simplify1.3s

Counts
136 → 136
Iterations
IterNodes
done5000
1751
0242

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (fabs x))
0.2b
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
0.2b
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
1.0b
(sqrt PI)

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
27×*-un-lft-identity add-cube-cbrt
26×add-cbrt-cube add-exp-log
24×associate-*l*
19×associate-*r*
17×pow1
13×sqrt-prod
11×prod-exp cbrt-unprod
7×pow-prod-down
6×unswap-sqr
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp *-commutative
2×div-inv
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 flip3-+ pow1/2 associate-*l/ frac-add flip-+
Counts
4 → 122
Calls
4 calls:
16.0ms
(* (/ 1.0 (sqrt PI)) (fabs x))
33.0ms
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
78.0ms
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
2.0ms
(sqrt PI)

series247.0ms

Counts
4 → 10
Calls
4 calls:
118.0ms
(* (/ 1.0 (sqrt PI)) (fabs x))
34.0ms
(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
95.0ms
(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
0.0ms
(sqrt PI)

simplify3.1s

Counts
132 → 132
Iterations
IterNodes
done5001
24364
1598
0205

prune949.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify16.0ms

Iterations
IterNodes
done47
147
032

end0.0ms

sample3.3s

Algorithm
intervals
Results
3.0s14027×body80valid