Details

Time bar (total: 21.4s)

sample55.0ms

Algorithm
intervals
Results
32.0ms362×body80valid
1.0ms3×body640valid
1.0ms2×body320valid
0.0ms1×body1280valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
01215
13015
28315
325213
459913
582413
683813
done83813

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

rewrite95.0ms

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:
83.0ms
(* (+ (* 2 (+ y z)) t) x)
11.0ms
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

series135.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (+ (* 2 (+ y z)) t) x)
73.0ms
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

simplify3.5s

Counts
37 → 37
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
075579
1219545
2844485
33996477
done5000477

prune121.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite106.0ms

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:
75.0ms
(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
6.0ms
(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)))

series3.2s

Counts
4 → 12
Calls
4 calls:
1.5s
(* (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))
553.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
574.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
563.0ms
(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

simplify2.6s

Counts
99 → 99
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01833548
14403303
212023085
338142734
done50002630

prune591.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

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-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
10.0ms
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
9.0ms
(sqrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
8.0ms
(sqrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
85.0ms
(* (sqrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (sqrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

series702.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))
278.0ms
(sqrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
248.0ms
(sqrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
97.0ms
(* (sqrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (sqrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))))

simplify2.1s

Counts
110 → 110
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01133350
12562423
28002215
332132124
done50012074

prune349.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y 5.0) (* (sqrt (+ (* 2 (+ y z)) t)) (* (sqrt (+ (* 2 (+ y z)) t)) x)))
0.1b
(* (sqrt (+ (* 2 (+ y z)) t)) x)
0.2b
(* (sqrt (+ (* 2 (+ y z)) t)) (* (sqrt (+ (* 2 (+ y z)) t)) x))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div
12×add-sqr-sqrt associate-*l*
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity flip3-+ flip-+
7×sqrt-prod
5×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative unswap-sqr
1×+-commutative sum-log
Counts
3 → 64
Calls
3 calls:
9.0ms
(+ (* y 5.0) (* (sqrt (+ (* 2 (+ y z)) t)) (* (sqrt (+ (* 2 (+ y z)) t)) x)))
87.0ms
(* (sqrt (+ (* 2 (+ y z)) t)) x)
172.0ms
(* (sqrt (+ (* 2 (+ y z)) t)) (* (sqrt (+ (* 2 (+ y z)) t)) x))

series375.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(+ (* y 5.0) (* (sqrt (+ (* 2 (+ y z)) t)) (* (sqrt (+ (* 2 (+ y z)) t)) x)))
151.0ms
(* (sqrt (+ (* 2 (+ y z)) t)) x)
140.0ms
(* (sqrt (+ (* 2 (+ y z)) t)) (* (sqrt (+ (* 2 (+ y z)) t)) x))

simplify3.7s

Counts
73 → 73
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01381777
13901263
212221115
343701092
done50001092

prune251.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11813
done1813

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s10625×body80valid
27.0ms119×body640valid
20.0ms75×body1280valid
11.0ms62×body320valid
2.0ms16×body160valid