Details

Time bar (total: 28.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify21.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01619
13119
24619
35919
47519
58319
69219
711419
814419
917519
1021919
1133119
1259819
13108519
14122219
15135619
16190119
17283419
18381119
19441019
20458419
done458419

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
11×times-frac
10×add-exp-log add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×associate-*r/ difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- unswap-sqr
1×cbrt-undiv frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 95
Calls
4 calls:
34.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
74.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
95.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
63.0ms
(* x (+ 0.99229 (* x 0.04481)))
57.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.1s

Counts
107 → 107
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
02062229
15212153
214811973
348721953
done50001953

prune241.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ 0.99229 (* x 0.04481)))
0.7b
(cbrt (+ 0.99229 (* x 0.04481)))
0.7b
(cbrt (+ 0.99229 (* x 0.04481)))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log cbrt-div add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 70
Calls
4 calls:
2.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
2.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
2.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

series438.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
124.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
126.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

simplify488.0ms

Counts
82 → 82
Iterations

Useful iterations: done (485.0ms)

IterNodesCost
01802476
14542424
214241596
done50001500

prune299.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ 0.99229 (* x 0.04481)))
15.2b
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
15.2b
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
15.2b
(cbrt (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
4.0ms
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
4.0ms
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
2.0ms
(cbrt (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

series569.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
147.0ms
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
159.0ms
(cbrt (+ (* (+ 0.99229 (* x 0.04481)) x) 1.0))
141.0ms
(cbrt (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

simplify494.0ms

Counts
64 → 64
Iterations

Useful iterations: done (492.0ms)

IterNodesCost
01891953
14711886
215031441
done50011308

prune550.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.6316775383 (* x (- (* 1.3436228731669864 x) 2.134856267379707)))
0.0b
(- (* 1.3436228731669864 x) 2.134856267379707)
0.1b
(* x (- (* 1.3436228731669864 x) 2.134856267379707))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 51
Calls
3 calls:
3.0ms
(+ 1.6316775383 (* x (- (* 1.3436228731669864 x) 2.134856267379707)))
3.0ms
(- (* 1.3436228731669864 x) 2.134856267379707)
13.0ms
(* x (- (* 1.3436228731669864 x) 2.134856267379707))

series121.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ 1.6316775383 (* x (- (* 1.3436228731669864 x) 2.134856267379707)))
39.0ms
(- (* 1.3436228731669864 x) 2.134856267379707)
59.0ms
(* x (- (* 1.3436228731669864 x) 2.134856267379707))

simplify881.0ms

Counts
60 → 60
Iterations

Useful iterations: 3 (200.0ms)

IterNodesCost
084643
1202614
2523560
31877558
done5001558

prune83.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01934
12734
done2734

end0.0ms

sample359.0ms

Algorithm
intervals
Results
267.0ms8000×body80valid