Details

Time bar (total: 14.7s)

sample37.0ms

Algorithm
intervals
Results
13.0ms300×body80valid
0.0ms3×body640valid
0.0ms2×body1280valid
0.0ms3×body320valid
0.0ms2×body160valid

simplify48.0ms

Counts
1 → 1
Iterations
IterNodes
done71
571
466
352
234
118
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b
(+ (* d1 3.0) (* d1 d2))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
34.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
23.0ms
(+ (* d1 3.0) (* d1 d2))

series97.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
47.0ms
(+ (* d1 3.0) (* d1 d2))

simplify1.4s

Counts
32 → 32
Iterations
IterNodes
done5000
2898
1192
058

prune175.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) d1)
0.2b
(* (* (* (+ 3.0 d2) d1) (* (+ 3.0 d2) d1)) (* (+ 3.0 d2) d1))
0.3b
(* (* (+ 3.0 d2) d1) (* (+ 3.0 d2) d1))
34.2b
(cbrt (* (* (* (+ 3.0 d2) d1) (* (+ 3.0 d2) d1)) (* (+ 3.0 d2) d1)))

rewrite525.0ms

Algorithm
rewrite-expression-head
Rules
200×pow1
152×associate-*l/
87×pow-prod-down
61×flip3-+ flip-+
60×frac-times
59×add-cbrt-cube add-exp-log
40×prod-exp cbrt-unprod
38×pow-prod-up
26×cbrt-div
19×pow-plus
18×associate-*r/
16×pow-sqr
8×add-sqr-sqrt *-un-lft-identity
6×associate-*l* add-cube-cbrt
5×associate-*r*
4×pow2 add-log-exp
3×*-commutative
2×pow3
1×cbrt-prod pow1/3 swap-sqr rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
4 → 199
Calls
4 calls:
23.0ms
(* (+ 3.0 d2) d1)
213.0ms
(* (* (* (+ 3.0 d2) d1) (* (+ 3.0 d2) d1)) (* (+ 3.0 d2) d1))
44.0ms
(* (* (+ 3.0 d2) d1) (* (+ 3.0 d2) d1))
232.0ms
(cbrt (* (* (* (+ 3.0 d2) d1) (* (+ 3.0 d2) d1)) (* (+ 3.0 d2) d1)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (+ 3.0 d2) d1)
69.0ms
(* (* (* (+ 3.0 d2) d1) (* (+ 3.0 d2) d1)) (* (+ 3.0 d2) d1))
42.0ms
(* (* (+ 3.0 d2) d1) (* (+ 3.0 d2) d1))
66.0ms
(cbrt (* (* (* (+ 3.0 d2) d1) (* (+ 3.0 d2) d1)) (* (+ 3.0 d2) d1)))

simplify2.5s

Counts
211 → 211
Iterations
IterNodes
done5000
23909
1638
0218

prune600.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d2 (- d2 3.0))
0.1b
(* (* d2 d2) d2)
3.5b
(* (+ (* 3.0 (* 3.0 3.0)) (* (* d2 d2) d2)) d1)
17.6b
(/ (* (+ (* 3.0 (* 3.0 3.0)) (* (* d2 d2) d2)) d1) (+ (* 3.0 3.0) (* d2 (- d2 3.0))))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1
18×add-sqr-sqrt add-cbrt-cube add-exp-log
13×*-un-lft-identity
11×associate-*r* add-cube-cbrt
8×associate-*l*
6×pow-plus prod-exp pow-prod-up cbrt-unprod
5×pow-prod-down
4×associate-*l/ add-log-exp
3×associate-/r* flip3-+ times-frac *-commutative flip-+ unswap-sqr
2×pow2 distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp pow3 associate-*r/ associate-/r/ pow-sqr associate-/l/
1×clear-num frac-2neg flip3-- cube-unmult sum-cubes div-inv flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 100
Calls
4 calls:
31.0ms
(* d2 (- d2 3.0))
29.0ms
(* (* d2 d2) d2)
132.0ms
(* (+ (* 3.0 (* 3.0 3.0)) (* (* d2 d2) d2)) d1)
37.0ms
(/ (* (+ (* 3.0 (* 3.0 3.0)) (* (* d2 d2) d2)) d1) (+ (* 3.0 3.0) (* d2 (- d2 3.0))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* d2 (- d2 3.0))
69.0ms
(* (* d2 d2) d2)
63.0ms
(* (+ (* 3.0 (* 3.0 3.0)) (* (* d2 d2) d2)) d1)
124.0ms
(/ (* (+ (* 3.0 (* 3.0 3.0)) (* (* d2 d2) d2)) d1) (+ (* 3.0 3.0) (* d2 (- d2 3.0))))

simplify2.9s

Counts
112 → 112
Iterations
IterNodes
done5001
23500
1497
0168

prune661.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

12.3b
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
12.3b
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
12.3b
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
13.9b
(/ (+ (* 3.0 (* 3.0 3.0)) (* (* d2 d2) d2)) (* (cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0)))) (cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
8×associate-/r/
7×add-cbrt-cube
4×frac-times pow1 times-frac associate-/l* add-log-exp
3×pow1/3
2×cbrt-undiv cube-unmult div-exp pow3 associate-*l/ associate-*r/ sum-cubes associate-/l/
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
7.0ms
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
6.0ms
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
4.0ms
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
100.0ms
(/ (+ (* 3.0 (* 3.0 3.0)) (* (* d2 d2) d2)) (* (cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0)))) (cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))))

series736.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
146.0ms
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
205.0ms
(cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))
239.0ms
(/ (+ (* 3.0 (* 3.0 3.0)) (* (* d2 d2) d2)) (* (cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0)))) (cbrt (+ (* 3.0 3.0) (* d2 (- d2 3.0))))))

simplify1.5s

Counts
84 → 84
Iterations
IterNodes
done5000
21681
1436
0168

prune661.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes336.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
09

end0.0ms

sample1.4s

Algorithm
intervals
Results
895.0ms9622×body80valid
30.0ms205×body640valid
17.0ms147×body320valid
14.0ms76×body1280valid
6.0ms81×body160valid