Details

Time bar (total: 27.8s)

sample69.0ms

Algorithm
intervals
Results
29.0ms341×body80valid
2.0ms5×body1280valid
1.0ms3×body320valid
1.0ms2×body640valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
01215
13015
28915
328713
485713
5189413
6442513
done500113

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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)

rewrite143.0ms

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:
22.0ms
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
119.0ms
(* (+ (* 2 (+ y z)) t) x)

series177.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
76.0ms
(* (+ (* 2 (+ y z)) t) x)

simplify1.1s

Counts
37 → 37
Iterations

Useful iterations: 2 (226.0ms)

IterNodesCost
075579
1223545
21012485
done5001485

prune324.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite315.0ms

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:
224.0ms
(* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t)))
26.0ms
(cbrt (+ (* 2 (+ y z)) t))
26.0ms
(cbrt (+ (* 2 (+ y z)) t))
34.0ms
(cbrt (+ (* 2 (+ y z)) t))

series1.8s

Counts
4 → 12
Calls
4 calls:
542.0ms
(* (cbrt (+ (* 2 (+ y z)) t)) (cbrt (+ (* 2 (+ y z)) t)))
392.0ms
(cbrt (+ (* 2 (+ y z)) t))
436.0ms
(cbrt (+ (* 2 (+ y z)) t))
456.0ms
(cbrt (+ (* 2 (+ y z)) t))

simplify1.0s

Counts
99 → 99
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01232020
12971856
210871733
done50011639

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

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:
104.0ms
(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
10.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
10.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
11.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

series4.4s

Counts
4 → 12
Calls
4 calls:
2.0s
(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
777.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
792.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
787.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

simplify1.4s

Counts
99 → 99
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01833548
14623303
215063085
done50002788

prune1.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.5b
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.6b
(cbrt (* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))))
0.9b
(pow (cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))) (+ 3 1))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-div
16×cbrt-prod
12×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×unpow-prod-down
8×flip3-+ flip-+
5×pow1 add-exp-log
4×frac-times pow-unpow pow1/3 add-cbrt-cube add-log-exp
2×pow-pow associate-*r/ associate-*l/
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 69
Calls
4 calls:
10.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
9.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
35.0ms
(cbrt (* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))))
40.0ms
(pow (cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))) (+ 3 1))

series4.3s

Counts
4 → 12
Calls
4 calls:
797.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
755.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
1.9s
(cbrt (* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))))
852.0ms
(pow (cbrt (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))) (+ 3 1))

simplify1.5s

Counts
81 → 81
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02573042
16692815
219362433
done50002387

prune919.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes528.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11813
done1813

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.7s10675×body80valid
38.0ms96×body1280valid
30.0ms100×body640valid
15.0ms67×body320valid
3.0ms20×body160valid