Details

Time bar (total: 13.0s)

sample32.0ms

Algorithm
intervals
Results
16.0ms315×body80valid
1.0ms5×body640valid
0.0ms4×body320valid
0.0ms5×body160valid

simplify57.0ms

Counts
1 → 1
Iterations
IterNodes
done93
593
486
373
245
119
09

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
103.0ms
(* (+ (+ 3.0 d3) d2) d1)

series47.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (+ (+ 3.0 d3) d2) d1)

simplify1.0s

Counts
27 → 27
Iterations
IterNodes
done5002
2701
1135
050

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite348.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×add-sqr-sqrt sqrt-prod
18×sqrt-div
16×associate-*l*
13×pow1
12×distribute-lft-out
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative hypot-def unswap-sqr
Counts
4 → 101
Calls
4 calls:
55.0ms
(sqrt (+ (+ 3.0 d3) d2))
49.0ms
(sqrt (+ (+ 3.0 d3) d2))
71.0ms
(* (sqrt (+ (+ 3.0 d3) d2)) d1)
168.0ms
(* (sqrt (+ (+ 3.0 d3) d2)) (* (sqrt (+ (+ 3.0 d3) d2)) d1))

series284.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(sqrt (+ (+ 3.0 d3) d2))
52.0ms
(sqrt (+ (+ 3.0 d3) d2))
134.0ms
(* (sqrt (+ (+ 3.0 d3) d2)) d1)
49.0ms
(* (sqrt (+ (+ 3.0 d3) d2)) (* (sqrt (+ (+ 3.0 d3) d2)) d1))

simplify1.0s

Counts
113 → 113
Iterations
IterNodes
done5001
21388
1363
0139

prune560.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite242.0ms

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-*l* distribute-lft-out
7×associate-*r*
6×associate-/r* flip3-+ times-frac swap-sqr associate-*l/ flip-+ add-log-exp
4×expm1-log1p-u frac-times flip3-- log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
3×prod-exp cbrt-unprod
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down associate--l+ associate-*r/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×pow2 clear-num sub-neg frac-2neg pow-plus fma-neg diff-log prod-diff pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 117
Calls
4 calls:
41.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
16.0ms
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
70.0ms
(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
109.0ms
(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

series282.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (+ 3.0 d3) (+ 3.0 d3))
57.0ms
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
81.0ms
(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
114.0ms
(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

simplify2.5s

Counts
129 → 129
Iterations
IterNodes
done5000
24131
1599
0191

prune672.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

3.4b
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
4.4b
(/ (/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (* (cbrt (- (+ 3.0 d3) d2)) (cbrt (- (+ 3.0 d3) d2)))) (cbrt (- (+ 3.0 d3) d2)))
7.4b
(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
13.3b
(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (* (cbrt (- (+ 3.0 d3) d2)) (cbrt (- (+ 3.0 d3) d2))))

rewrite408.0ms

Algorithm
rewrite-expression-head
Rules
134×cbrt-div
128×times-frac
114×*-un-lft-identity
90×associate-/r/
84×cbrt-prod
74×add-sqr-sqrt
70×flip3-- flip--
44×frac-times add-cube-cbrt
36×add-exp-log
28×distribute-lft-out--
26×associate-*l/
23×add-cbrt-cube
22×associate-*r/
16×difference-of-squares
14×distribute-lft-out associate-/l*
13×cbrt-undiv div-exp
12×div-inv
10×associate-/r*
9×prod-exp cbrt-unprod
6×pow1 add-log-exp
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×associate-*r* associate-/l/
2×clear-num frac-2neg associate--l+
1×distribute-rgt-in sub-neg distribute-lft-in fma-neg diff-log prod-diff pow-prod-down *-commutative unswap-sqr
Counts
4 → 239
Calls
4 calls:
17.0ms
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
172.0ms
(/ (/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (* (cbrt (- (+ 3.0 d3) d2)) (cbrt (- (+ 3.0 d3) d2)))) (cbrt (- (+ 3.0 d3) d2)))
74.0ms
(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
122.0ms
(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (* (cbrt (- (+ 3.0 d3) d2)) (cbrt (- (+ 3.0 d3) d2))))

series893.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
93.0ms
(/ (/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (* (cbrt (- (+ 3.0 d3) d2)) (cbrt (- (+ 3.0 d3) d2)))) (cbrt (- (+ 3.0 d3) d2)))
81.0ms
(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
652.0ms
(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (* (cbrt (- (+ 3.0 d3) d2)) (cbrt (- (+ 3.0 d3) d2))))

simplify1.4s

Counts
251 → 251
Iterations
IterNodes
done5001
11073
0391

prune1.6s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes172.0ms

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

sample1.0s

Algorithm
intervals
Results
603.0ms9677×body80valid
40.0ms134×body320valid
40.0ms228×body640valid
20.0ms89×body1280valid
6.0ms72×body160valid