Details

Time bar (total: 6.7s)

sample12.0ms

Algorithm
intervals
Results
6.0ms327×body80valid

simplify232.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1199
2359
3659
4899
51039
61459
72359
82689
done2689

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
2.0ms
(+ 0.253 (* x 0.12))
7.0ms
(* x (+ 0.253 (* x 0.12)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ 0.253 (* x 0.12))
63.0ms
(* x (+ 0.253 (* x 0.12)))

simplify1.5s

Counts
39 → 39
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
060377
1163363
2585325
32648325
done5000325

prune75.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

series591.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
141.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
139.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
139.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify502.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
01892160
14752025
216851911
done50001911

prune285.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (pow (cbrt (* x (+ 0.253 (* x 0.12)))) 3))
0.7b
(pow (cbrt (* x (+ 0.253 (* x 0.12)))) 3)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
8×unpow-prod-down cube-prod associate-*r/
5×pow1 add-exp-log
4×cube-div flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
3×pow-unpow
2×cube-mult pow-pow unpow3 sqr-pow
1×pow-to-exp pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 75
Calls
4 calls:
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
2.0ms
(cbrt (pow (cbrt (* x (+ 0.253 (* x 0.12)))) 3))
2.0ms
(pow (cbrt (* x (+ 0.253 (* x 0.12)))) 3)

series598.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
137.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
131.0ms
(cbrt (pow (cbrt (* x (+ 0.253 (* x 0.12)))) 3))
197.0ms
(pow (cbrt (* x (+ 0.253 (* x 0.12)))) 3)

simplify595.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
01842100
14861794
221301694
done50001694

prune303.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
76.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))

series449.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
129.0ms
(cbrt (+ 0.253 (* x 0.12)))
123.0ms
(cbrt (+ 0.253 (* x 0.12)))
133.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify613.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
01863007
15042865
216122503
done50002503

prune294.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample311.0ms

Algorithm
intervals
Results
201.0ms10671×body80valid