Details

Time bar (total: 18.7s)

sample63.0ms

Algorithm
intervals
Results
24.0ms241×body80valid
7.0ms25×body320valid
7.0ms18×body640valid
4.0ms8×body1280valid
2.0ms8×body160valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
63616
5935
4334
3122
244
123
011

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
4.4b
(* (- y z) (/ (- t x) (- a z)))
5.0b
(+ x (* (- y z) (/ (- t x) (- a z))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* flip3-- associate-*l* flip-- associate-/l* add-log-exp
4×associate-/r/
3×insert-posit16
2×frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
15.0ms
(/ (- t x) (- a z))
56.0ms
(* (- y z) (/ (- t x) (- a z)))
8.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))

series474.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ (- t x) (- a z))
200.0ms
(* (- y z) (/ (- t x) (- a z)))
203.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))

simplify1.5s

Counts
131 → 131
Iterations
IterNodes
done5000
22663
1504
0186

prune576.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 6.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
4.4b
(* (- y z) (* (- t x) (/ 1 (- a z))))
7.0b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×times-frac add-exp-log
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*l* associate-*l/ associate-*r/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv insert-posit16
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ pow-flip inv-pow
Counts
4 → 150
Calls
4 calls:
17.0ms
(/ 1 (- a z))
29.0ms
(* (- t x) (/ 1 (- a z)))
84.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))
10.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ 1 (- a z))
74.0ms
(* (- t x) (/ 1 (- a z)))
171.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))
222.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

simplify3.3s

Counts
162 → 162
Iterations
IterNodes
done5000
24363
1621
0225

prune663.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 6.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
4.4b
(* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
9.6b
(+ x (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
35×prod-exp
26×add-cbrt-cube
15×div-exp cbrt-unprod
13×add-sqr-sqrt *-un-lft-identity
10×cbrt-prod
9×frac-times pow1
7×cbrt-undiv add-cube-cbrt
6×flip3-- associate-*r/ flip-- add-log-exp
5×associate-*l* associate-*l/
4×rec-exp cbrt-div 1-exp insert-posit16
3×pow-prod-down distribute-lft-out-- difference-of-squares
2×pow1/3
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
4 → 94
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
211.0ms
(* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
8.0ms
(+ x (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))))

series971.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt (- a z))
174.0ms
(cbrt (- a z))
417.0ms
(* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))
209.0ms
(+ x (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))))

simplify1.8s

Counts
106 → 106
Iterations
IterNodes
done5002
22966
1640
0226

prune510.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 6.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t x))
0.5b
(cbrt (- t x))
4.4b
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
10.1b
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
82×frac-times
76×cbrt-div
56×flip3-- flip--
38×associate-*l/
32×associate-*r/
22×add-exp-log
16×add-cbrt-cube
13×add-sqr-sqrt pow1 *-un-lft-identity
11×prod-exp cbrt-unprod
10×cbrt-prod
7×add-cube-cbrt
6×pow-prod-down add-log-exp
5×associate-*l*
4×insert-posit16
3×distribute-lft-out-- difference-of-squares
2×cbrt-undiv pow1/3 div-exp
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
4 → 125
Calls
4 calls:
5.0ms
(cbrt (- t x))
5.0ms
(cbrt (- t x))
181.0ms
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
13.0ms
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

series769.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt (- t x))
193.0ms
(cbrt (- t x))
176.0ms
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
220.0ms
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

simplify1.7s

Counts
137 → 137
Iterations
IterNodes
done5000
23008
1762
0281

prune601.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 6.5b

regimes792.0ms

Accuracy

41.3% (5.9b remaining)

Error of 10.6b against oracle of 4.7b and baseline of 14.8b

bsearch4.0ms

simplify5.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s7731×body80valid
169.0ms290×body1280valid
165.0ms474×body640valid
107.0ms419×body320valid
72.0ms296×body160valid
8.0ms18×body2560valid