Details

Time bar (total: 18.5s)

sample60.0ms

Algorithm
intervals
Results
26.0ms342×body80valid
1.0ms4×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
01215
13015
28915
328713
485713
5189413
6442513
done500113

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
0.0b
(* (+ (* 2 (+ y z)) t) x)

rewrite84.0ms

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-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 31
Calls
2 calls:
11.0ms
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
73.0ms
(* (+ (* 2 (+ y z)) t) x)

series111.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
39.0ms
(* (+ (* 2 (+ y z)) t) x)

simplify704.0ms

Counts
37 → 37
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
075579
1223545
21012485
done5001485

prune130.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* 2 x) (+ y z))
0.0b
(+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))
0.0b
(+ (* (* 2 x) (+ y z)) (* t x))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt associate-*r* sum-log
3×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
2×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/
1×associate-+r+ associate-*l* *-commutative distribute-lft-out
Counts
3 → 49
Calls
3 calls:
35.0ms
(* (* 2 x) (+ y z))
77.0ms
(+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))
58.0ms
(+ (* (* 2 x) (+ y z)) (* t x))

series247.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(* (* 2 x) (+ y z))
114.0ms
(+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))
70.0ms
(+ (* (* 2 x) (+ y z)) (* t x))

simplify1.9s

Counts
58 → 58
Iterations

Useful iterations: 2 (449.0ms)

IterNodesCost
0110899
1362802
22593738
done5000738

prune176.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 2 x) (+ y z)) (* t x))
0.1b
(sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
0.1b
(sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
0.3b
(* (sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))

rewrite788.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-+l+ associate-*r/ associate-*l/
1×+-commutative pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
24.0ms
(+ (* (* 2 x) (+ y z)) (* t x))
147.0ms
(sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
119.0ms
(sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
493.0ms
(* (sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))

series827.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ (* (* 2 x) (+ y z)) (* t x))
351.0ms
(sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
336.0ms
(sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
76.0ms
(* (sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (sqrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))

simplify1.5s

Counts
112 → 112
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01323722
13612687
217322451
done50002376

prune479.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))
0.6b
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
0.6b
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
0.6b
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))

rewrite701.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
519.0ms
(* (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))
74.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
50.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
55.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))

series3.1s

Counts
4 → 12
Calls
4 calls:
967.0ms
(* (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))
683.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
684.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
748.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))

simplify889.0ms

Counts
99 → 99
Iterations

Useful iterations: done (884.0ms)

IterNodesCost
01523926
13873639
214563399
done50002791

prune902.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11813
done1813

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s10619×body80valid
22.0ms107×body640valid
21.0ms82×body1280valid
10.0ms66×body320valid
4.0ms39×body160valid