Details

Time bar (total: 24.2s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify14.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01619
13119
25119
36619
48319
59119
610219
713619
816419
918719
1023119
1139419
1257419
1370719
1489919
15104819
16115419
17171019
18224619
19298819
20332619
21332919
done332919

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
13.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite302.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log times-frac add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×flip3-+ associate-*r/ flip-+
3×distribute-rgt-in distribute-lft-in associate-/r* associate-/l*
2×sub-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 91
Calls
4 calls:
222.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
9.0ms
(+ 2.30753 (* x 0.27061))
27.0ms
(* x (+ 0.99229 (* x 0.04481)))
38.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
51.0ms
(+ 2.30753 (* x 0.27061))
90.0ms
(* x (+ 0.99229 (* x 0.04481)))
94.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02021888
15151810
215811662
done50001658

prune294.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* x (+ 0.99229 (* x 0.04481))))))) x))
0.1b
(exp (* x (+ 0.99229 (* x 0.04481))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
3.4b
(log (exp (* x (+ 0.99229 (* x 0.04481)))))

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
11×*-un-lft-identity
9×pow1 add-cube-cbrt associate-*r*
8×add-exp-log add-cbrt-cube
7×add-log-exp
6×associate-*l*
5×distribute-rgt-in log-prod distribute-lft-in
4×associate-*r/ exp-sum
3×log-pow
2×sub-neg exp-prod exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×flip3-- flip3-+ times-frac rem-log-exp flip-- flip-+ rem-exp-log distribute-lft-out--
Counts
4 → 77
Calls
4 calls:
289.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* x (+ 0.99229 (* x 0.04481))))))) x))
11.0ms
(exp (* x (+ 0.99229 (* x 0.04481))))
40.0ms
(* x (+ 0.99229 (* x 0.04481)))
8.0ms
(log (exp (* x (+ 0.99229 (* x 0.04481)))))

series329.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (exp (* x (+ 0.99229 (* x 0.04481))))))) x))
25.0ms
(exp (* x (+ 0.99229 (* x 0.04481))))
71.0ms
(* x (+ 0.99229 (* x 0.04481)))
92.0ms
(log (exp (* x (+ 0.99229 (* x 0.04481)))))

simplify2.4s

Counts
89 → 89
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01581380
13601254
210001107
332811103
done50011103

prune345.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
13.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.3b
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
9×pow1 times-frac
8×cbrt-prod
6×associate-*r/
4×cube-div add-log-exp
3×pow-unpow flip3-+ associate-*r* associate-*l* associate-/r* flip-+ associate-/l*
2×cube-mult unpow-prod-down cbrt-div flip3-- pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ rem-cube-cbrt sqr-pow
1×cbrt-undiv distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in pow1/3 div-exp clear-num *-commutative rem-cbrt-cube div-inv unswap-sqr
Counts
4 → 96
Calls
4 calls:
32.0ms
(* x (+ 0.99229 (* x 0.04481)))
96.0ms
(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
50.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

series525.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* x (+ 0.99229 (* x 0.04481)))
180.0ms
(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
93.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
162.0ms
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

simplify1.2s

Counts
108 → 108
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02232539
15602316
217982126
done50012098

prune418.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01821
12521
done2521

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid