Details

Time bar (total: 14.4s)

sample24.0ms

Algorithm
intervals
Results
13.0ms336×body80valid

simplify690.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
7809
6193
5141
4112
379
242
119
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.12 x) 0.253)
0.1b
(* x (+ (* 0.12 x) 0.253))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
8.0ms
(+ (* 0.12 x) 0.253)
19.0ms
(* x (+ (* 0.12 x) 0.253))

series163.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* 0.12 x) 0.253)
109.0ms
(* x (+ (* 0.12 x) 0.253))

simplify492.0ms

Counts
39 → 39
Iterations
IterNodes
done5000
2810
1184
058

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 0.12 x) 0.253)
0.3b
(* (* 0.12 x) (* 0.12 x))
0.3b
(pow (* x 0.12) 3)
11.1b
(/ (* (+ (pow 0.253 3) (pow (* x 0.12) 3)) x) (+ (* (* 0.12 x) (* 0.12 x)) (- (* 0.253 0.253) (* (* 0.12 x) 0.253))))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
51×pow1
29×add-cbrt-cube add-exp-log
21×pow-prod-down
13×prod-exp cbrt-unprod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×associate-*r* pow-sqr pow-prod-up add-log-exp
3×pow-unpow associate-/r* times-frac
2×cbrt-undiv pow-pow flip3-+ pow-plus div-exp associate-*l* associate-*l/ pow-exp associate-/r/ *-commutative flip-+ rem-cube-cbrt associate-/l/
1×pow2 cube-mult pow-to-exp clear-num unpow-prod-down frac-2neg unpow3 cube-prod swap-sqr div-inv associate-/l* sqr-pow
Counts
4 → 99
Calls
4 calls:
22.0ms
(* (* 0.12 x) 0.253)
39.0ms
(* (* 0.12 x) (* 0.12 x))
8.0ms
(pow (* x 0.12) 3)
99.0ms
(/ (* (+ (pow 0.253 3) (pow (* x 0.12) 3)) x) (+ (* (* 0.12 x) (* 0.12 x)) (- (* 0.253 0.253) (* (* 0.12 x) 0.253))))

series272.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* 0.12 x) 0.253)
46.0ms
(* (* 0.12 x) (* 0.12 x))
50.0ms
(pow (* x 0.12) 3)
140.0ms
(/ (* (+ (pow 0.253 3) (pow (* x 0.12) 3)) x) (+ (* (* 0.12 x) (* 0.12 x)) (- (* 0.253 0.253) (* (* 0.12 x) 0.253))))

simplify3.4s

Counts
111 → 111
Iterations
IterNodes
done5000
23698
1496
0159

prune525.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (* x 0.12) 2)
0.3b
(pow (* x 0.12) 3)
0.4b
(/ x (+ (* (- 0.253 (* x 0.12)) 0.253) (pow (* x 0.12) 2)))
6.9b
(* (+ (pow 0.253 3) (pow (* x 0.12) 3)) (/ x (+ (* (- 0.253 (* x 0.12)) 0.253) (pow (* x 0.12) 2))))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
24×*-un-lft-identity
22×add-cube-cbrt
19×times-frac
17×add-exp-log
15×associate-*r*
14×add-cbrt-cube
12×pow1
6×pow-unpow
5×associate-*l*
4×pow-pow flip3-+ pow-exp prod-exp associate-/r/ flip-+ add-log-exp
3×associate-/r* pow-prod-down cbrt-unprod associate-/l*
2×frac-times pow-to-exp cbrt-undiv unpow-prod-down div-exp associate-*l/ div-inv rem-cube-cbrt unswap-sqr sqr-pow
1×cube-mult clear-num frac-2neg unpow3 cube-prod associate-*r/ sum-cubes *-commutative distribute-lft-out unpow2
Counts
4 → 109
Calls
4 calls:
5.0ms
(pow (* x 0.12) 2)
5.0ms
(pow (* x 0.12) 3)
19.0ms
(/ x (+ (* (- 0.253 (* x 0.12)) 0.253) (pow (* x 0.12) 2)))
128.0ms
(* (+ (pow 0.253 3) (pow (* x 0.12) 3)) (/ x (+ (* (- 0.253 (* x 0.12)) 0.253) (pow (* x 0.12) 2))))

series327.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(pow (* x 0.12) 2)
50.0ms
(pow (* x 0.12) 3)
119.0ms
(/ x (+ (* (- 0.253 (* x 0.12)) 0.253) (pow (* x 0.12) 2)))
120.0ms
(* (+ (pow 0.253 3) (pow (* x 0.12) 3)) (/ x (+ (* (- 0.253 (* x 0.12)) 0.253) (pow (* x 0.12) 2))))

simplify2.1s

Counts
121 → 121
Iterations
IterNodes
done5000
23691
1566
0197

prune793.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x 0.12) (* x 0.12))
0.3b
(pow (* x 0.12) 2)
0.4b
(/ x (+ (pow (* x 0.12) 2) (* 0.253 (- 0.253 (* x 0.12)))))
0.5b
(* (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))) (* (+ 0.253 (* x 0.12)) (/ x (+ (pow (* x 0.12) 2) (* 0.253 (- 0.253 (* x 0.12)))))))

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
51×pow1
30×add-exp-log
27×add-cbrt-cube
21×pow-prod-down
16×frac-times
14×add-sqr-sqrt *-un-lft-identity prod-exp add-cube-cbrt
13×flip3-+ cbrt-unprod flip-+
9×times-frac
8×associate-*l/ associate-*r/
4×associate-*l* pow-sqr pow-prod-up add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cbrt-undiv pow-pow pow-plus div-exp associate-*r* pow-exp associate-/r/ *-commutative
1×pow2 pow-to-exp clear-num unpow-prod-down frac-2neg swap-sqr div-inv unpow2 sqr-pow
Counts
4 → 118
Calls
4 calls:
29.0ms
(* (* x 0.12) (* x 0.12))
5.0ms
(pow (* x 0.12) 2)
10.0ms
(/ x (+ (pow (* x 0.12) 2) (* 0.253 (- 0.253 (* x 0.12)))))
331.0ms
(* (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))) (* (+ 0.253 (* x 0.12)) (/ x (+ (pow (* x 0.12) 2) (* 0.253 (- 0.253 (* x 0.12)))))))

series343.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* x 0.12) (* x 0.12))
38.0ms
(pow (* x 0.12) 2)
148.0ms
(/ x (+ (pow (* x 0.12) 2) (* 0.253 (- 0.253 (* x 0.12)))))
125.0ms
(* (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))) (* (+ 0.253 (* x 0.12)) (/ x (+ (pow (* x 0.12) 2) (* 0.253 (- 0.253 (* x 0.12)))))))

simplify2.7s

Counts
130 → 130
Iterations
IterNodes
done5001
24691
1726
0229

prune802.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample574.0ms

Algorithm
intervals
Results
413.0ms10652×body80valid