Details

Time bar (total: 31.8s)

sample61.0ms

Algorithm
intervals
Results
40.0ms440×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (262.0ms)

IterNodesCost
02867
17066
225047
3104235
done500035

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
53×pow1
45×prod-exp cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
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×sqrt-prod *-commutative
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:
20.0ms
(* (* (fabs x) (fabs x)) (fabs x))
929.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
100.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series186.0ms

Counts
4 → 10
Calls
4 calls:
29.0ms
(* (* (fabs x) (fabs x)) (fabs x))
91.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
66.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify4.2s

Counts
145 → 145
Iterations

Useful iterations: done (4.2s)

IterNodesCost
02242536
16441786
241651220
done50001169

prune993.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

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

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
53×pow1
45×prod-exp cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
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×sqrt-prod *-commutative
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:
22.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.1s
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
78.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series182.0ms

Counts
4 → 10
Calls
4 calls:
34.0ms
(* (* (fabs x) (fabs x)) (fabs x))
79.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
69.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify4.8s

Counts
145 → 145
Iterations

Useful iterations: done (4.8s)

IterNodesCost
02272534
16531786
243911220
done50001218

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) (* (pow (fabs x) 6) (/ 1.0 21.0))) (fma 2.0 (fabs x) (* (pow (fabs x) 3) (/ 2.0 3.0)))))
0.1b
(* (pow (fabs x) 6) (/ 1.0 21.0))
0.2b
(* (pow (fabs x) 3) (/ 2.0 3.0))
1.0b
(sqrt PI)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
45×times-frac
41×associate-*l*
38×add-cube-cbrt *-un-lft-identity
35×add-exp-log
29×associate-*r*
19×add-cbrt-cube
17×unswap-sqr
14×prod-exp
13×sqrt-prod
10×unpow-prod-down
7×pow1 div-exp
6×cbrt-unprod sqr-pow
5×cube-prod
4×expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u add-log-exp
3×cbrt-undiv *-commutative div-inv
2×associate-*r/ fma-udef
1×distribute-rgt-in cube-mult rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 unpow3 pow-prod-down associate-*l/
Counts
4 → 158
Calls
4 calls:
38.0ms
(* (/ 1.0 (sqrt PI)) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) (* (pow (fabs x) 6) (/ 1.0 21.0))) (fma 2.0 (fabs x) (* (pow (fabs x) 3) (/ 2.0 3.0)))))
41.0ms
(* (pow (fabs x) 6) (/ 1.0 21.0))
25.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
2.0ms
(sqrt PI)

series604.0ms

Counts
4 → 10
Calls
4 calls:
467.0ms
(* (/ 1.0 (sqrt PI)) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) (* (pow (fabs x) 6) (/ 1.0 21.0))) (fma 2.0 (fabs x) (* (pow (fabs x) 3) (/ 2.0 3.0)))))
65.0ms
(* (pow (fabs x) 6) (/ 1.0 21.0))
71.0ms
(* (pow (fabs x) 3) (/ 2.0 3.0))
0.0ms
(sqrt PI)

simplify4.5s

Counts
168 → 168
Iterations

Useful iterations: 2 (694.0ms)

IterNodesCost
02863481
17413357
247583072
done50003072

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize111.0ms

Local error

Found 4 expressions with local error:

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

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
78×pow1
46×pow-prod-up
39×add-exp-log add-cbrt-cube
21×sqrt-pow1 pow1/2 prod-exp cbrt-unprod
19×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×associate-*l* pow-prod-down
13×associate-*r*
10×sqrt-prod
9×times-frac
6×pow2 pow-plus pow-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp *-commutative
2×unswap-sqr
1×rem-sqrt-square associate-*l/ div-inv
Counts
4 → 130
Calls
4 calls:
100.0ms
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
29.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
82.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms
(sqrt PI)

series193.0ms

Counts
4 → 10
Calls
4 calls:
41.0ms
(* (* (* (fabs x) (fabs x)) (sqrt (fabs x))) (sqrt (fabs x)))
93.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
59.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.6s

Counts
140 → 140
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01761784
15031224
23397962
done5001892

prune925.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02637
12937
done2937

end0.0ms

sample3.8s

Algorithm
intervals
Results
3.4s13880×body80valid