Details

Time bar (total: 38.3s)

sample72.0ms

Algorithm
intervals
Results
52.0ms461×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5000
43921
3997
2247
170
028

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
35×add-cbrt-cube add-exp-log
18×prod-exp cbrt-unprod
17×add-sqr-sqrt
15×associate-*l*
14×*-un-lft-identity add-cube-cbrt
12×pow-plus pow-prod-down pow-prod-up
9×times-frac
7×associate-*r*
4×pow2 expm1-log1p-u pow-sqr log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp *-commutative sqrt-prod
2×pow3 unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
Counts
4 → 115
Calls
4 calls:
23.0ms
(* (* (fabs x) (fabs x)) (fabs x))
14.0ms
(* (* (fabs x) (fabs x)) (fabs x))
84.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series178.0ms

Counts
4 → 10
Calls
4 calls:
45.0ms
(* (* (fabs x) (fabs x)) (fabs x))
47.0ms
(* (* (fabs x) (fabs x)) (fabs x))
83.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.5s

Counts
125 → 125
Iterations
IterNodes
done5000
34649
21171
1344
0136

prune739.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
35×add-cbrt-cube add-exp-log
18×prod-exp cbrt-unprod
17×add-sqr-sqrt
15×associate-*l*
14×*-un-lft-identity add-cube-cbrt
12×pow-plus pow-prod-down pow-prod-up
9×times-frac
7×associate-*r*
4×pow2 expm1-log1p-u pow-sqr log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp *-commutative sqrt-prod
2×pow3 unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
Counts
4 → 115
Calls
4 calls:
15.0ms
(* (* (fabs x) (fabs x)) (fabs x))
15.0ms
(* (* (fabs x) (fabs x)) (fabs x))
70.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series123.0ms

Counts
4 → 10
Calls
4 calls:
35.0ms
(* (* (fabs x) (fabs x)) (fabs x))
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
57.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.9s

Counts
125 → 125
Iterations
IterNodes
done5000
21236
1349
0138

prune896.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x))))
0.2b
(/ 1.0 (/ (sqrt PI) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0)))))))
0.3b
(/ (sqrt PI) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0))))))
1.0b
(sqrt PI)

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
265×pow1
156×times-frac
116×pow-prod-up
96×add-sqr-sqrt
95×*-un-lft-identity add-cube-cbrt
73×pow-prod-down
51×sqrt-prod
47×add-cbrt-cube add-exp-log
30×pow-sqr
27×prod-exp cbrt-unprod
25×associate-/r*
21×pow-plus
15×pow2
14×cube-unmult
9×associate-/l*
6×div-inv
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×rem-sqrt-square sqrt-pow1 pow1/2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative
Counts
4 → 265
Calls
4 calls:
100.0ms
(* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x))))
9.0ms
(/ 1.0 (/ (sqrt PI) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0)))))))
5.0ms
(/ (sqrt PI) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0))))))
1.0ms
(sqrt PI)

series898.0ms

Counts
4 → 10
Calls
4 calls:
68.0ms
(* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x))))
445.0ms
(/ 1.0 (/ (sqrt PI) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0)))))))
385.0ms
(/ (sqrt PI) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0))))))
0.0ms
(sqrt PI)

simplify3.3s

Counts
275 → 275
Iterations
IterNodes
done5000
22247
1827
0323

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (sqrt PI)) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0))))))
0.3b
(/ (/ 1.0 (sqrt (sqrt PI))) (/ (sqrt (sqrt PI)) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0)))))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
2716×times-frac
1770×sqrt-prod
1246×add-sqr-sqrt
1244×*-un-lft-identity add-cube-cbrt
66×div-inv
40×associate-/l*
34×associate-/r*
18×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/r/ associate-/l/
Counts
4 → 1128
Calls
4 calls:
13.0ms
(/ (sqrt (sqrt PI)) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0))))))
55.0ms
(/ (/ 1.0 (sqrt (sqrt PI))) (/ (sqrt (sqrt PI)) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0)))))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series1.4s

Counts
4 → 8
Calls
4 calls:
635.0ms
(/ (sqrt (sqrt PI)) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0))))))
806.0ms
(/ (/ 1.0 (sqrt (sqrt PI))) (/ (sqrt (sqrt PI)) (fma (/ 1.0 21.0) (* (* (* (fabs x) (* (fabs x) (fabs x))) (* (fabs x) (* (fabs x) (fabs x)))) (fabs x)) (fma 2.0 (fabs x) (* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0)))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify5.9s

Counts
1136 → 1136
Iterations
IterNodes
done5008
14468
01189

prune9.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes457.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify26.0ms

Iterations
IterNodes
done47
147
032

end0.0ms

sample3.3s

Algorithm
intervals
Results
3.0s14104×body80valid