Details

Time bar (total: 13.3s)

sample45.0ms

Algorithm
intervals
Results
19.0ms315×body80valid
1.0ms5×body640valid
1.0ms4×body320valid
1.0ms5×body160valid

simplify59.0ms

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 1 expressions with local error:

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

rewrite89.0ms

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:
87.0ms
(* d1 (+ d2 (+ 3.0 d3)))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* d1 (+ d2 (+ 3.0 d3)))

simplify993.0ms

Counts
27 → 27
Iterations
IterNodes
done5000
2742
1165
051

prune118.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ d2 (+ 3.0 d3)))
0.0b
(sqrt (+ d2 (+ 3.0 d3)))
0.2b
(* d1 (sqrt (+ d2 (+ 3.0 d3))))
0.3b
(* (* d1 (sqrt (+ d2 (+ 3.0 d3)))) (sqrt (+ d2 (+ 3.0 d3))))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
32.0ms
(sqrt (+ d2 (+ 3.0 d3)))
21.0ms
(sqrt (+ d2 (+ 3.0 d3)))
72.0ms
(* d1 (sqrt (+ d2 (+ 3.0 d3))))
126.0ms
(* (* d1 (sqrt (+ d2 (+ 3.0 d3)))) (sqrt (+ d2 (+ 3.0 d3))))

series281.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (+ d2 (+ 3.0 d3)))
72.0ms
(sqrt (+ d2 (+ 3.0 d3)))
101.0ms
(* d1 (sqrt (+ d2 (+ 3.0 d3))))
42.0ms
(* (* d1 (sqrt (+ d2 (+ 3.0 d3)))) (sqrt (+ d2 (+ 3.0 d3))))

simplify1.5s

Counts
103 → 103
Iterations
IterNodes
done5001
21755
1361
0135

prune540.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d3) (+ 3.0 d3))
3.4b
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
7.4b
(* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))
17.6b
(/ (* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (- d2 (+ 3.0 d3)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-cbrt-cube add-exp-log
12×add-cube-cbrt
8×associate-*r* distribute-lft-out
7×associate-*l*
6×associate-/r* flip3-+ times-frac swap-sqr associate-*r/ flip-+ add-log-exp
4×distribute-rgt-in frac-times distribute-lft-in 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--r+ unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg pow-plus diff-log pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 111
Calls
4 calls:
32.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
8.0ms
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
40.0ms
(* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))
55.0ms
(/ (* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (- d2 (+ 3.0 d3)))

series336.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
43.0ms
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
114.0ms
(* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))
154.0ms
(/ (* d1 (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (- d2 (+ 3.0 d3)))

simplify2.6s

Counts
123 → 123
Iterations
IterNodes
done5001
24039
1602
0186

prune644.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- d2 (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3))))
3.4b
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
4.7b
(/ (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3))))
19.5b
(* (/ d1 (* (cbrt (- d2 (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3))))) (/ (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3)))))

rewrite459.0ms

Algorithm
rewrite-expression-head
Rules
141×*-un-lft-identity
102×add-sqr-sqrt
96×cbrt-prod
82×times-frac
52×add-cube-cbrt
51×associate-*r*
34×distribute-lft-out--
33×difference-of-squares
29×add-exp-log
28×cbrt-div
24×associate-*l*
19×add-cbrt-cube
17×distribute-lft-out
16×flip3-- flip--
15×swap-sqr
13×pow1
12×associate-/r/
10×unswap-sqr
9×frac-times associate-/r* prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×pow1/3 add-log-exp
5×associate-*l/ associate-*r/
4×associate-/l*
3×pow-prod-down div-inv
2×pow-sqr *-commutative pow-prod-up associate--r+ associate-/l/
1×pow2 distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in pow-plus diff-log div-sub
Counts
4 → 231
Calls
4 calls:
124.0ms
(* (cbrt (- d2 (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3))))
6.0ms
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
46.0ms
(/ (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3))))
274.0ms
(* (/ d1 (* (cbrt (- d2 (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3))))) (/ (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3)))))

series497.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (cbrt (- d2 (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3))))
48.0ms
(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
162.0ms
(/ (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3))))
141.0ms
(* (/ d1 (* (cbrt (- d2 (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3))))) (/ (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))) (cbrt (- d2 (+ 3.0 d3)))))

simplify1.4s

Counts
243 → 243
Iterations
IterNodes
done5000
11092
0355

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.4s

Algorithm
intervals
Results
974.0ms9677×body80valid
37.0ms228×body640valid
18.0ms89×body1280valid
16.0ms134×body320valid
6.0ms72×body160valid