Details

Time bar (total: 15.7s)

sample38.0ms

Algorithm
intervals
Results
16.0ms280×body80valid
1.0ms4×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify76.0ms

Counts
1 → 1
Iterations
IterNodes
done62
562
461
349
233
118
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 (+ 10.0 20.0)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
72.0ms
(* d1 (+ d2 (+ 10.0 20.0)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* d1 (+ d2 (+ 10.0 20.0)))

simplify2.6s

Counts
27 → 27
Iterations
IterNodes
done5239
33918
2654
1160
050

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ d2 (+ 10.0 20.0)))
0.3b
(cbrt (+ d2 (+ 10.0 20.0)))
0.3b
(* (* d1 (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0))))) (cbrt (+ d2 (+ 10.0 20.0))))
0.4b
(* d1 (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0)))))

rewrite691.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-+ flip-+
32×frac-times
24×*-un-lft-identity
18×pow1 add-exp-log
16×associate-*l/
15×cbrt-prod
11×add-cbrt-cube
10×add-sqr-sqrt
9×associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod distribute-lft-out
4×associate-*l* add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 109
Calls
4 calls:
16.0ms
(cbrt (+ d2 (+ 10.0 20.0)))
18.0ms
(cbrt (+ d2 (+ 10.0 20.0)))
516.0ms
(* (* d1 (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0))))) (cbrt (+ d2 (+ 10.0 20.0))))
136.0ms
(* d1 (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0)))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (+ d2 (+ 10.0 20.0)))
132.0ms
(cbrt (+ d2 (+ 10.0 20.0)))
59.0ms
(* (* d1 (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0))))) (cbrt (+ d2 (+ 10.0 20.0))))
176.0ms
(* d1 (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0)))))

simplify2.1s

Counts
121 → 121
Iterations
IterNodes
done5003
21867
1610
0216

prune635.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.4b
(* d1 (* (cbrt (+ d2 (+ 10.0 20.0))) (/ (cbrt (+ (* (* d2 d2) d2) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (cbrt (+ (* d2 d2) (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)))))))
0.6b
(/ (cbrt (+ (* (* d2 d2) d2) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (cbrt (+ (* d2 d2) (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)))))
10.4b
(cbrt (+ (* d2 d2) (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0))))
14.1b
(cbrt (+ (* (* d2 d2) d2) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0)))))

rewrite402.0ms

Algorithm
rewrite-expression-head
Rules
59×cbrt-prod
42×times-frac
37×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×add-exp-log
12×cbrt-div
9×pow1 add-cbrt-cube
8×cube-unmult pow3 sum-cubes
7×associate-/l*
6×associate-/r* flip3-+ associate-*r/ flip-+
5×prod-exp cbrt-unprod
4×add-log-exp
3×associate-*l* pow-prod-down
2×frac-times cbrt-undiv pow1/3 div-exp associate-*l/ associate-/r/ associate-/l/
1×clear-num frac-2neg associate-*r* *-commutative div-inv
Counts
4 → 123
Calls
4 calls:
244.0ms
(* d1 (* (cbrt (+ d2 (+ 10.0 20.0))) (/ (cbrt (+ (* (* d2 d2) d2) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (cbrt (+ (* d2 d2) (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)))))))
110.0ms
(/ (cbrt (+ (* (* d2 d2) d2) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (cbrt (+ (* d2 d2) (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)))))
4.0ms
(cbrt (+ (* d2 d2) (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0))))
41.0ms
(cbrt (+ (* (* d2 d2) d2) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
300.0ms
(* d1 (* (cbrt (+ d2 (+ 10.0 20.0))) (/ (cbrt (+ (* (* d2 d2) d2) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (cbrt (+ (* d2 d2) (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)))))))
229.0ms
(/ (cbrt (+ (* (* d2 d2) d2) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (cbrt (+ (* d2 d2) (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)))))
154.0ms
(cbrt (+ (* d2 d2) (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0))))
436.0ms
(cbrt (+ (* (* d2 d2) d2) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0)))))

simplify1.8s

Counts
135 → 135
Iterations
IterNodes
done5001
23065
1841
0343

prune941.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))
0.1b
(* d2 (* d2 d2))
1.5b
(* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0)))))
14.9b
(/ (* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0)))))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
16×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
6×associate-*l* add-log-exp
5×distribute-rgt-in distribute-lft-in cube-unmult associate-*r* prod-exp pow-prod-up cbrt-unprod
4×associate-+r+ flip3-+ pow-prod-down associate-*r/ flip-+
3×associate-/r* times-frac
2×cbrt-undiv div-exp associate-/r/ sum-cubes *-commutative unswap-sqr associate-/l/
1×pow2 +-commutative clear-num sum-log frac-2neg pow-plus pow-sqr div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
38.0ms
(+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))
13.0ms
(* d2 (* d2 d2))
139.0ms
(* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0)))))
91.0ms
(/ (* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0)))))

series437.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))
45.0ms
(* d2 (* d2 d2))
98.0ms
(* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0)))))
197.0ms
(/ (* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0)))))

simplify2.0s

Counts
100 → 100
Iterations
IterNodes
done5010
22084
1474
0160

prune565.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample883.0ms

Algorithm
intervals
Results
544.0ms9038×body80valid
58.0ms75×body1280valid
7.0ms39×body640valid
3.0ms20×body320valid
1.0ms14×body160valid