Details

Time bar (total: 24.3s)

sample137.0ms

Algorithm
intervals
Results
106.0ms465×body80valid

simplify3.4s

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize132.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.2b
(* (/ 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))
20.0ms
(* (* (fabs x) (fabs x)) (fabs x))
70.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series151.0ms

Counts
4 → 10
Calls
4 calls:
46.0ms
(* (* (fabs x) (fabs x)) (fabs x))
43.0ms
(* (* (fabs x) (fabs x)) (fabs x))
61.0ms
(* (/ 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

prune794.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize143.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite100.0ms

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:
18.0ms
(* (* (fabs x) (fabs x)) (fabs x))
22.0ms
(* (* (fabs x) (fabs x)) (fabs x))
55.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)

series155.0ms

Counts
4 → 10
Calls
4 calls:
53.0ms
(* (* (fabs x) (fabs x)) (fabs x))
49.0ms
(* (* (fabs x) (fabs x)) (fabs x))
53.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify1.8s

Counts
125 → 125
Iterations
IterNodes
done5000
21236
1349
0138

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
232×pow1
72×pow-prod-up
49×pow-prod-down
44×pow-sqr
40×add-cbrt-cube add-exp-log
36×pow-plus
26×pow2
22×prod-exp cbrt-unprod
16×add-sqr-sqrt
15×associate-*l*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r* *-commutative sqrt-prod
2×cbrt-undiv swap-sqr div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
Counts
4 → 182
Calls
4 calls:
23.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
32.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
25.0ms
(* (/ 1.0 21.0) (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)

series129.0ms

Counts
4 → 10
Calls
4 calls:
35.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
41.0ms
(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
53.0ms
(* (/ 1.0 21.0) (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify2.3s

Counts
192 → 192
Iterations
IterNodes
done5001
33556
21244
1377
0141

prune950.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0)))
0.3b
(/ 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)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
98×*-un-lft-identity
97×add-sqr-sqrt
96×add-cube-cbrt
51×sqrt-prod
25×associate-/r*
20×add-cbrt-cube add-exp-log
14×pow1
9×associate-/l*
6×pow-prod-down prod-exp cbrt-unprod div-inv
4×expm1-log1p-u cbrt-undiv div-exp associate-*r* log1p-expm1-u add-log-exp
3×associate-*r/
2×clear-num frac-2neg
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 flip3-+ pow1/2 associate-*l* frac-add associate-/r/ *-commutative flip-+ distribute-lft-out
Counts
4 → 193
Calls
4 calls:
88.0ms
(* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0)))
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)))))))
7.0ms
(/ (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))))))
2.0ms
(sqrt PI)

series831.0ms

Counts
4 → 10
Calls
4 calls:
118.0ms
(* (* (fabs x) (* (fabs x) (fabs x))) (+ (/ 2.0 3.0) (/ (* (* (fabs x) (fabs x)) 1.0) 5.0)))
415.0ms
(/ 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)))))))
297.0ms
(/ (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)

simplify2.6s

Counts
203 → 203
Iterations
IterNodes
done5001
22679
1820
0312

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify24.0ms

Iterations
IterNodes
done47
147
032

end0.0ms

sample3.5s

Algorithm
intervals
Results
3.2s13963×body80valid