Details

Time bar (total: 13.1s)

sample58.0ms

Algorithm
intervals
Results
21.0ms347×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
102661
9873
8449
7284
6206
5148
489
346
226
115
09

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ y a) (- t z)))
6.1b
(* (/ y a) (- t z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×sub-neg associate-*r*
4×distribute-rgt-in pow1 distribute-lft-in associate--r+ add-log-exp
3×flip3-- flip--
2×frac-times prod-exp associate-*r/ cbrt-unprod unswap-sqr
1×cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
5.0ms
(- x (* (/ y a) (- t z)))
26.0ms
(* (/ y a) (- t z))

series166.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(- x (* (/ y a) (- t z)))
88.0ms
(* (/ y a) (- t z))

simplify850.0ms

Counts
64 → 64
Iterations
IterNodes
done5001
21424
1323
0124

prune420.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (- t z) (/ y a)))
6.1b
(* (- t z) (/ y a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
3×flip3-- flip--
2×frac-times associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg diff-log div-exp pow-prod-down associate-*r/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 50
Calls
2 calls:
4.0ms
(- x (* (- t z) (/ y a)))
29.0ms
(* (- t z) (/ y a))

series139.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(- x (* (- t z) (/ y a)))
74.0ms
(* (- t z) (/ y a))

simplify1.3s

Counts
56 → 56
Iterations
IterNodes
done5002
21528
1305
0119

prune347.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- t z)))
8.5b
(cbrt (/ y a))
8.5b
(cbrt (/ y a))
8.5b
(cbrt (/ y a))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod cbrt-div
29×frac-times
27×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×distribute-rgt-in distribute-lft-in flip3-- pow-prod-down prod-exp cbrt-unprod flip--
4×sub-neg add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 119
Calls
4 calls:
116.0ms
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- t z)))
4.0ms
(cbrt (/ y a))
4.0ms
(cbrt (/ y a))
6.0ms
(cbrt (/ y a))

series355.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- t z)))
102.0ms
(cbrt (/ y a))
71.0ms
(cbrt (/ y a))
96.0ms
(cbrt (/ y a))

simplify898.0ms

Counts
131 → 131
Iterations
IterNodes
done5000
21509
1478
0178

prune770.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (cbrt (/ y a)) (* (cbrt (/ (* (cbrt y) (/ (cbrt y) (cbrt a))) (cbrt a))) (cbrt (/ (cbrt y) (cbrt a))))) (* (cbrt (/ y a)) (- t z)))
2.2b
(cbrt (/ (* (cbrt y) (/ (cbrt y) (cbrt a))) (cbrt a)))
8.5b
(cbrt (/ y a))
8.5b
(cbrt (/ y a))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
99×cbrt-div
81×frac-times
51×associate-*r/
39×cbrt-prod
33×associate-*l/
25×pow1 add-exp-log
24×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×flip3-- flip--
15×pow-prod-down prod-exp cbrt-unprod
14×add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
4×sub-neg add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 146
Calls
4 calls:
265.0ms
(* (* (cbrt (/ y a)) (* (cbrt (/ (* (cbrt y) (/ (cbrt y) (cbrt a))) (cbrt a))) (cbrt (/ (cbrt y) (cbrt a))))) (* (cbrt (/ y a)) (- t z)))
8.0ms
(cbrt (/ (* (cbrt y) (/ (cbrt y) (cbrt a))) (cbrt a)))
2.0ms
(cbrt (/ y a))
2.0ms
(cbrt (/ y a))

series424.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (* (cbrt (/ y a)) (* (cbrt (/ (* (cbrt y) (/ (cbrt y) (cbrt a))) (cbrt a))) (cbrt (/ (cbrt y) (cbrt a))))) (* (cbrt (/ y a)) (- t z)))
116.0ms
(cbrt (/ (* (cbrt y) (/ (cbrt y) (cbrt a))) (cbrt a)))
102.0ms
(cbrt (/ y a))
120.0ms
(cbrt (/ y a))

simplify1.6s

Counts
158 → 158
Iterations
IterNodes
done5001
24298
1886
0301

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes357.0ms

Accuracy

70.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.1b

bsearch137.0ms

Steps
ItersRangePoint
8
2.4360596218432937e-47
2.6970744609164994e-43
3.0711730393286134e-45
6
-2475842322.912602
-531429590.62988466
-1272558208.5547743

simplify6.0ms

Iterations
IterNodes
done33
133
028

end0.0ms

sample1.5s

Algorithm
intervals
Results
617.0ms10699×body80valid