Details

Time bar (total: 5.0s)

sample23.0ms

Algorithm
intervals
Results
8.0ms321×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105
done1105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite189.0ms

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:
11.0ms
(/ t (- 1.0 z))
39.0ms
(- (/ y z) (/ t (- 1.0 z)))
135.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series122.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ t (- 1.0 z))
35.0ms
(- (/ y z) (/ t (- 1.0 z)))
53.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify42.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0387632
11452595
25001593
done5001593

prune227.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))
0.3b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
5.9b
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt cbrt-div
13×pow1
11×associate-*r* associate-*l*
10×swap-sqr
9×flip3-- flip--
8×add-exp-log pow1/3 associate-*r/ distribute-lft-out--
6×add-cbrt-cube difference-of-squares
5×frac-times unswap-sqr
4×add-log-exp
3×pow-prod-down associate-*l/ frac-sub
2×distribute-rgt-in sub-neg distribute-lft-in prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-plus
Counts
4 → 113
Calls
4 calls:
4.0ms
(cbrt (- 1.0 z))
4.0ms
(cbrt (- 1.0 z))
37.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
47.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

series326.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (- 1.0 z))
87.0ms
(cbrt (- 1.0 z))
100.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
51.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

simplify61.0ms

Counts
125 → 125
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05031197
120051105
250011023
done50011023

prune376.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.9b
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
3.2b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
18×pow1 add-exp-log
11×associate-*r* add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt associate-*r/ pow-prod-down prod-exp cbrt-unprod
8×times-frac
7×associate-*l*
6×sub-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×flip3-- pow1/3 *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
135.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
138.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series589.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
180.0ms
(cbrt x)
155.0ms
(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
76.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify61.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0426899
11901709
25003639
done5003639

prune230.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.7b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
8.4b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.4b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.4b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
215.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
32.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
31.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
34.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series574.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
149.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
142.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
143.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify68.0ms

Counts
109 → 109
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
04191341
19691257
225061243
350021222
done50021222

prune341.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes361.0ms

Accuracy

70.2% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 4.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03833
14033
24033
done4033

end0.0ms

sample640.0ms

Algorithm
intervals
Results
277.0ms10184×body80valid