Details

Time bar (total: 11.5s)

sample34.0ms

Algorithm
intervals
Results
17.0ms322×body80valid
1.0ms5×body1280valid
0.0ms3×body320valid
0.0ms2×body640valid
0.0ms2×body160valid

simplify59.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1189
2347
3527
4677
5727
6777
done777

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube 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:
115.0ms
(* d1 (+ (+ 3.0 d2) d3))

series37.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify663.0ms

Counts
27 → 27
Iterations

Useful iterations: done (661.0ms)

IterNodesCost
051265
1166252
2726220
done5001218

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
30.0ms
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
20.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
20.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
26.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

series1.1s

Counts
4 → 12
Calls
4 calls:
313.0ms
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
280.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
257.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
276.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

simplify899.0ms

Counts
84 → 84
Iterations

Useful iterations: done (896.0ms)

IterNodesCost
01611927
14271778
215351596
done50001477

prune394.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt d1) (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (* d1 (+ (+ 3.0 d2) d3)))))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.6b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.7b
(cbrt d1)

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
16×cbrt-div
9×pow1 add-exp-log
8×cbrt-prod flip3-+ flip-+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1/3 associate-*l*
5×pow-prod-down add-cbrt-cube
4×frac-times add-log-exp
3×prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative
Counts
4 → 63
Calls
4 calls:
121.0ms
(* (cbrt d1) (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (* d1 (+ (+ 3.0 d2) d3)))))
21.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
44.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
2.0ms
(cbrt d1)

series1.1s

Counts
4 → 12
Calls
4 calls:
322.0ms
(* (cbrt d1) (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (* d1 (+ (+ 3.0 d2) d3)))))
261.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
249.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
317.0ms
(cbrt d1)

simplify837.0ms

Counts
75 → 75
Iterations

Useful iterations: done (833.0ms)

IterNodesCost
01811503
14881456
215831298
done50001238

prune335.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
3.9b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
8.2b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
15.7b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
53.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
21.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
77.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
138.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series354.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
71.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
111.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
154.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify2.9s

Counts
127 → 127
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01922163
16192037
241231751
done50011740

prune400.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample1.4s

Algorithm
intervals
Results
517.0ms9499×body80valid
349.0ms92×body1280valid
60.0ms222×body640valid
19.0ms166×body320valid
7.0ms88×body160valid