Details

Time bar (total: 51.1s)

sample105.0ms

Algorithm
intervals
Results
23.0ms328×body80valid

simplify215.0ms

Counts
1 → 1
Iterations
IterNodes
done108
9108
8105
799
685
573
458
339
225
115
010

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
2.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
63.0ms
(/ t (- 1.0 z))
161.0ms
(- (/ y z) (/ t (- 1.0 z)))
1.2s
(* x (- (/ y z) (/ t (- 1.0 z))))

series455.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ t (- 1.0 z))
73.0ms
(- (/ y z) (/ t (- 1.0 z)))
309.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify7.6s

Counts
98 → 98
Iterations
IterNodes
done5000
34822
21264
1409
0170

prune1.7s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
2.0b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity
17×times-frac
15×add-cube-cbrt
14×add-exp-log
10×add-cbrt-cube
7×pow1 associate-*r/
6×associate-*l*
5×prod-exp add-log-exp
4×frac-sub unswap-sqr
3×sub-neg flip3-- un-div-inv flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
2×distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-/r/ *-commutative
1×cbrt-undiv rec-exp diff-log 1-exp div-inv
Counts
3 → 84
Calls
3 calls:
38.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
113.0ms
(* t (/ 1 (- 1.0 z)))
109.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series854.0ms

Counts
3 → 9
Calls
3 calls:
294.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
73.0ms
(* t (/ 1 (- 1.0 z)))
488.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify9.8s

Counts
93 → 93
Iterations
IterNodes
done5013
34807
21360
1461
0180

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
2.0b
(* x (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
7×frac-sub
6×pow1 add-exp-log add-cbrt-cube
5×frac-times associate-*l/
4×add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
2.0ms
(cbrt t)
130.0ms
(* x (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

series1.7s

Counts
4 → 12
Calls
4 calls:
399.0ms
(cbrt t)
567.0ms
(cbrt t)
451.0ms
(cbrt t)
264.0ms
(* x (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

simplify9.6s

Counts
76 → 76
Iterations
IterNodes
done5001
33190
2856
1324
0120

prune1.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize541.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
4.6b
(cbrt (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))
4.6b
(cbrt (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))
4.6b
(cbrt (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-div
21×frac-sub
15×frac-times associate-*l/
12×cbrt-prod
9×associate-*r/
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
Counts
4 → 71
Calls
4 calls:
2.0ms
(cbrt t)
31.0ms
(cbrt (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))
34.0ms
(cbrt (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))
53.0ms
(cbrt (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

series2.2s

Counts
4 → 12
Calls
4 calls:
580.0ms
(cbrt t)
790.0ms
(cbrt (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))
343.0ms
(cbrt (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))
521.0ms
(cbrt (- (/ y z) (* (* (/ (cbrt t) (cbrt (- 1.0 z))) (/ (cbrt t) (cbrt (- 1.0 z)))) (/ (cbrt t) (cbrt (- 1.0 z))))))

simplify6.1s

Counts
83 → 83
Iterations
IterNodes
done5000
32412
2749
1326
0135

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (4.7b remaining)

Error of 4.8b against oracle of 0.1b and baseline of 4.8b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.5s10108×body80valid