Details

Time bar (total: 48.2s)

sample148.0ms

Algorithm
intervals
Results
101.0ms487×body80valid

simplify5.4s

Counts
1 → 1
Iterations
IterNodes
45586
31256
2259
173
028

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize97.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (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)

rewrite768.0ms

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:
25.0ms
(* (* (fabs x) (fabs x)) (fabs x))
669.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
68.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series179.0ms

Counts
4 → 10
Calls
4 calls:
45.0ms
(* (* (fabs x) (fabs x)) (fabs x))
83.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
51.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify6.7s

Counts
159 → 159
Iterations
IterNodes
37274
21986
1638
0234

prune3.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (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)

rewrite781.0ms

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:
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
676.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
67.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series205.0ms

Counts
4 → 10
Calls
4 calls:
44.0ms
(* (* (fabs x) (fabs x)) (fabs x))
83.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
77.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify927.0ms

Counts
159 → 159
Iterations
IterNodes
22023
1643
0236

prune3.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.2b
(* (fabs x) (sqrt (fabs x)))
0.2b
(* (fabs x) (sqrt (fabs x)))
1.0b
(sqrt PI)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
78×pow1
29×pow-prod-up
28×add-sqr-sqrt
22×pow-prod-down
20×add-cbrt-cube add-exp-log
13×associate-*r*
11×*-un-lft-identity sqrt-pow1 pow1/2 add-cube-cbrt sqrt-prod
10×prod-exp cbrt-unprod
8×pow3
7×associate-*l* pow-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×pow-plus
1×pow2 rem-sqrt-square swap-sqr
Counts
4 → 120
Calls
4 calls:
66.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
15.0ms
(* (fabs x) (sqrt (fabs x)))
8.0ms
(* (fabs x) (sqrt (fabs x)))
1.0ms
(sqrt PI)

series175.0ms

Counts
4 → 10
Calls
4 calls:
45.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
67.0ms
(* (fabs x) (sqrt (fabs x)))
63.0ms
(* (fabs x) (sqrt (fabs x)))
0.0ms
(sqrt PI)

simplify3.1s

Counts
130 → 130
Iterations
IterNodes
43412
31503
2480
1214
091

prune2.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize153.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
1.0b
(sqrt PI)
16.4b
(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
16.4b
(sqrt (* (* (fabs x) (fabs x)) (fabs x)))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
600×pow1
347×sqrt-pow1
298×pow-prod-up
201×pow-plus
102×pow-prod-down
92×pow-sqr
57×pow2
24×pow3
15×pow1/2
12×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt sqrt-prod
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
1×rem-sqrt-square rem-square-sqrt sqrt-unprod prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 264
Calls
4 calls:
127.0ms
(* (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
2.0ms
(sqrt PI)
24.0ms
(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
24.0ms
(sqrt (* (* (fabs x) (fabs x)) (fabs x)))

series152.0ms

Counts
4 → 10
Calls
4 calls:
44.0ms
(* (sqrt (* (* (fabs x) (fabs x)) (fabs x))) (sqrt (* (* (fabs x) (fabs x)) (fabs x))))
0.0ms
(sqrt PI)
69.0ms
(sqrt (* (* (fabs x) (fabs x)) (fabs x)))
38.0ms
(sqrt (* (* (fabs x) (fabs x)) (fabs x)))

simplify9.6s

Counts
274 → 274
Iterations
IterNodes
411528
31626
2373
1186
0101

prune5.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes249.0ms

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
031

end0.0ms

sample4.8s

Algorithm
intervals
Results
4.5s13958×body80valid