Details

Time bar (total: 28.3s)

sample95.0ms

Algorithm
intervals
Results
31.0ms86×body1280valid
22.0ms88×body10240exit
13.0ms54×body640valid
5.0ms35×body320valid
3.0ms66×body80valid
1.0ms15×body160valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done8
28
17
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp x) (- (exp x) 1.0))
4.6b
(- (exp x) 1.0)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ insert-posit16 flip--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 53
Calls
2 calls:
47.0ms
(/ (exp x) (- (exp x) 1.0))
31.0ms
(- (exp x) 1.0)

series111.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ (exp x) (- (exp x) 1.0))
20.0ms
(- (exp x) 1.0)

simplify3.0s

Counts
59 → 59
Iterations
IterNodes
done5000
31518
2542
1193
093

prune465.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (exp x) (+ (* (* x x) (+ (* 1/6 x) 1/2)) x))
0.1b
(* (* x x) (+ (* 1/6 x) 1/2))
0.4b
(* 1/6 x)

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
12×add-cbrt-cube
11×add-exp-log
10×pow1
9×times-frac
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×associate-/r* insert-posit16 associate-/l* add-log-exp
2×flip3-+ associate-*r/ associate-/r/ *-commutative flip-+ unswap-sqr
1×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in div-exp div-inv
Counts
3 → 73
Calls
3 calls:
62.0ms
(/ (exp x) (+ (* (* x x) (+ (* 1/6 x) 1/2)) x))
56.0ms
(* (* x x) (+ (* 1/6 x) 1/2))
15.0ms
(* 1/6 x)

series181.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (exp x) (+ (* (* x x) (+ (* 1/6 x) 1/2)) x))
99.0ms
(* (* x x) (+ (* 1/6 x) 1/2))
19.0ms
(* 1/6 x)

simplify2.7s

Counts
82 → 82
Iterations
IterNodes
done5000
21378
1400
0152

prune622.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (+ (* (* x x) (+ (* 1/6 x) 1/2)) x)))
0.0b
(* (cbrt (exp x)) (cbrt (exp x)))
0.1b
(* (* x x) (+ (* 1/6 x) 1/2))
0.4b
(* 1/6 x)

rewrite384.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
36×associate-*r*
28×*-un-lft-identity add-cube-cbrt
26×cbrt-prod
25×add-exp-log
23×pow1
20×times-frac
17×add-cbrt-cube
11×associate-*l* prod-exp cbrt-unprod
9×pow-prod-down unswap-sqr
6×pow1/3 swap-sqr
4×*-commutative insert-posit16 add-log-exp
3×associate-*r/
2×cbrt-undiv flip3-+ div-exp associate-/r/ pow-sqr pow-prod-up flip-+
1×pow2 distribute-rgt-in distribute-lft-in pow-plus div-inv
Counts
4 → 132
Calls
4 calls:
252.0ms
(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (+ (* (* x x) (+ (* 1/6 x) 1/2)) x)))
35.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
70.0ms
(* (* x x) (+ (* 1/6 x) 1/2))
19.0ms
(* 1/6 x)

series480.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (+ (* (* x x) (+ (* 1/6 x) 1/2)) x)))
224.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
144.0ms
(* (* x x) (+ (* 1/6 x) 1/2))
23.0ms
(* 1/6 x)

simplify4.5s

Counts
144 → 144
Iterations
IterNodes
done5000
22731
1713
0232

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp x) (* (exp x) (exp x)))
0.0b
(/ (exp x) (- (* (exp x) (* (exp x) (exp x))) (* (* 1.0 1.0) 1.0)))
0.0b
(* (/ (exp x) (- (* (exp x) (* (exp x) (exp x))) (* (* 1.0 1.0) 1.0))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
4.6b
(- (* (exp x) (* (exp x) (exp x))) (* (* 1.0 1.0) 1.0))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
32×*-un-lft-identity add-cube-cbrt
27×exp-prod
25×times-frac
21×associate-*l*
20×pow1
16×add-cbrt-cube
14×pow-prod-up
10×pow-prod-down add-exp-log
9×cube-unmult
8×difference-cubes pow3
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-/r* associate-*r* associate-/r/ pow-sqr insert-posit16
3×flip3-- flip-- associate-/l* unswap-sqr
2×frac-times cbrt-undiv flip3-+ div-exp associate-*r/ *-commutative flip-+ div-inv
1×pow2 distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in pow-plus diff-log associate-*l/
Counts
4 → 126
Calls
4 calls:
83.0ms
(* (exp x) (* (exp x) (exp x)))
246.0ms
(/ (exp x) (- (* (exp x) (* (exp x) (exp x))) (* (* 1.0 1.0) 1.0)))
717.0ms
(* (/ (exp x) (- (* (exp x) (* (exp x) (exp x))) (* (* 1.0 1.0) 1.0))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
110.0ms
(- (* (exp x) (* (exp x) (exp x))) (* (* 1.0 1.0) 1.0))

series574.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (exp x) (* (exp x) (exp x)))
195.0ms
(/ (exp x) (- (* (exp x) (* (exp x) (exp x))) (* (* 1.0 1.0) 1.0)))
241.0ms
(* (/ (exp x) (- (* (exp x) (* (exp x) (exp x))) (* (* 1.0 1.0) 1.0))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
78.0ms
(- (* (exp x) (* (exp x) (exp x))) (* (* 1.0 1.0) 1.0))

simplify8.3s

Counts
138 → 138
Iterations
IterNodes
done5001
24083
1753
0223

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 1.0b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.1s2632×body10240exit
702.0ms2277×body1280valid
338.0ms1637×body640valid
96.0ms821×body320valid
92.0ms2860×body80valid
30.0ms406×body160valid