Details

Time bar (total: 39.0s)

sample113.0ms

Algorithm
intervals
Results
87.0ms480×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
02867
17066
225047
3102835
4400134
done500034

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (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)

rewrite15.3s

Algorithm
rewrite-expression-head
Rules
147×add-exp-log add-cbrt-cube
98×prod-exp cbrt-unprod
69×pow1
49×pow-prod-down
39×associate-*l*
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
15×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l/ sqrt-prod *-commutative div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 165
Calls
4 calls:
14.2s
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
958.0ms
(* (/ 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)

series280.0ms

Counts
4 → 10
Calls
4 calls:
106.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
88.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
87.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.5s

Counts
175 → 175
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03054549
17793089
228001822
done50001710

prune967.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

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:
40.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0s
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
105.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms
(sqrt PI)

series211.0ms

Counts
4 → 10
Calls
4 calls:
29.0ms
(* (* (fabs x) (fabs x)) (fabs x))
103.0ms
(* (/ 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)))
0.0ms
(sqrt PI)

simplify1.7s

Counts
145 → 145
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02252522
15451774
219771218
done50011167

prune810.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs x) 7) 21.0)
0.1b
(* (/ 1.0 (sqrt PI)) (fma (/ (pow (fabs x) 7) 21.0) 1.0 (fma (pow (fabs x) 3) (/ 2.0 3.0) (* (fabs x) (+ 2.0 (* (/ 1.0 5.0) (pow (fabs x) 4)))))))
0.1b
(* (/ 1.0 5.0) (pow (fabs x) 4))
1.0b
(sqrt PI)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
53×times-frac
44×add-cube-cbrt *-un-lft-identity
35×associate-*l*
27×add-exp-log
17×unpow-prod-down
16×add-cbrt-cube
13×sqrt-prod
10×associate-*r*
9×unswap-sqr
8×prod-exp
7×pow1 div-exp associate-/l* sqr-pow
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-undiv pow-to-exp pow-exp associate-/r* div-inv
2×associate-*l/ *-commutative fma-udef
1×distribute-rgt-in rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down clear-num
Counts
4 → 153
Calls
4 calls:
10.0ms
(/ (pow (fabs x) 7) 21.0)
55.0ms
(* (/ 1.0 (sqrt PI)) (fma (/ (pow (fabs x) 7) 21.0) 1.0 (fma (pow (fabs x) 3) (/ 2.0 3.0) (* (fabs x) (+ 2.0 (* (/ 1.0 5.0) (pow (fabs x) 4)))))))
41.0ms
(* (/ 1.0 5.0) (pow (fabs x) 4))
3.0ms
(sqrt PI)

series665.0ms

Counts
4 → 10
Calls
4 calls:
122.0ms
(/ (pow (fabs x) 7) 21.0)
485.0ms
(* (/ 1.0 (sqrt PI)) (fma (/ (pow (fabs x) 7) 21.0) 1.0 (fma (pow (fabs x) 3) (/ 2.0 3.0) (* (fabs x) (+ 2.0 (* (/ 1.0 5.0) (pow (fabs x) 4)))))))
58.0ms
(* (/ 1.0 5.0) (pow (fabs x) 4))
0.0ms
(sqrt PI)

simplify1.5s

Counts
163 → 163
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02823285
16003173
218732871
done50012866

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)
8.1b
(sqrt (* (pow (fabs x) (+ 6 1)) (/ 1.0 21.0)))
8.1b
(sqrt (* (pow (fabs x) (+ 6 1)) (/ 1.0 21.0)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt associate-*l*
12×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
9×times-frac
6×pow-prod-down
5×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv sqrt-pow1 pow1/2 div-exp
2×sqrt-div associate-*r/
1×rem-sqrt-square associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 81
Calls
4 calls:
92.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms
(sqrt PI)
10.0ms
(sqrt (* (pow (fabs x) (+ 6 1)) (/ 1.0 21.0)))
23.0ms
(sqrt (* (pow (fabs x) (+ 6 1)) (/ 1.0 21.0)))

series356.0ms

Counts
4 → 10
Calls
4 calls:
60.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)
146.0ms
(sqrt (* (pow (fabs x) (+ 6 1)) (/ 1.0 21.0)))
150.0ms
(sqrt (* (pow (fabs x) (+ 6 1)) (/ 1.0 21.0)))

simplify3.9s

Counts
91 → 91
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01411230
1299887
2987754
34357751
done5000751

prune685.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02635
13035
done3035

end0.0ms

sample3.4s

Algorithm
intervals
Results
3.1s14106×body80valid