Details

Time bar (total: 55.3s)

sample103.0ms

Algorithm
intervals
Results
32.0ms256×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5002
61726
5496
4205
3109
250
125
013

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize47.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (/ z y) z) (/ t 2.0))
0.1b
(* (/ z y) z)
8.1b
(/ z (- (* (/ z y) z) (/ t 2.0)))

rewrite403.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×associate-*r* associate-*l/ associate-/r* associate-/r/ associate-/l*
2×cbrt-undiv flip3-- div-exp prod-exp frac-sub flip-- cbrt-unprod div-inv unswap-sqr
1×sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative
Counts
3 → 75
Calls
3 calls:
256.0ms
(- (* (/ z y) z) (/ t 2.0))
32.0ms
(* (/ z y) z)
82.0ms
(/ z (- (* (/ z y) z) (/ t 2.0)))

series496.0ms

Counts
3 → 9
Calls
3 calls:
235.0ms
(- (* (/ z y) z) (/ t 2.0))
56.0ms
(* (/ z y) z)
193.0ms
(/ z (- (* (/ z y) z) (/ t 2.0)))

simplify7.2s

Counts
84 → 84
Iterations
IterNodes
done5001
33830
21073
1319
0131

prune900.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.4b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ z y) z) (/ t 2.0))
0.1b
(* (/ z y) z)
0.6b
(/ 1 (- (* (/ z y) z) (/ t 2.0)))
7.5b
(* z (/ 1 (- (* (/ z y) z) (/ t 2.0))))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
29×*-un-lft-identity
28×add-cube-cbrt
22×add-exp-log
19×associate-*r*
16×associate-*l* add-cbrt-cube
9×pow1
6×prod-exp associate-/r/ add-log-exp
5×div-exp unswap-sqr
4×associate-*l/ cbrt-unprod
3×cbrt-undiv flip3-- associate-/r* frac-sub flip-- div-inv associate-/l*
2×rec-exp 1-exp pow-prod-down *-commutative
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 118
Calls
4 calls:
31.0ms
(- (* (/ z y) z) (/ t 2.0))
34.0ms
(* (/ z y) z)
76.0ms
(/ 1 (- (* (/ z y) z) (/ t 2.0)))
123.0ms
(* z (/ 1 (- (* (/ z y) z) (/ t 2.0))))

series472.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(- (* (/ z y) z) (/ t 2.0))
222.0ms
(* (/ z y) z)
68.0ms
(/ 1 (- (* (/ z y) z) (/ t 2.0)))
90.0ms
(* z (/ 1 (- (* (/ z y) z) (/ t 2.0))))

simplify10.1s

Counts
130 → 130
Iterations
IterNodes
done5082
34266
21319
1423
0169

prune3.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
8.1b
(/ z (- (* (* (/ z y) (* (cbrt z) (cbrt z))) (cbrt z)) (/ t 2.0)))

rewrite708.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/r/ associate-/l*
2×associate-*l/
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num frac-sub flip-- div-inv
Counts
4 → 63
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
671.0ms
(/ z (- (* (* (/ z y) (* (cbrt z) (cbrt z))) (cbrt z)) (/ t 2.0)))

series2.7s

Counts
4 → 12
Calls
4 calls:
474.0ms
(cbrt z)
832.0ms
(cbrt z)
864.0ms
(cbrt z)
527.0ms
(/ z (- (* (* (/ z y) (* (cbrt z) (cbrt z))) (cbrt z)) (/ t 2.0)))

simplify6.3s

Counts
75 → 75
Iterations
IterNodes
done5004
33124
2725
1213
091

prune810.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.9b
(/ (- (* (/ z y) z) (/ t 2.0)) (cbrt z))
5.4b
(/ (* (cbrt z) (cbrt z)) (/ (- (* (/ z y) z) (/ t 2.0)) (cbrt z)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
47×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
28×associate-/r*
18×add-exp-log
11×add-cbrt-cube
7×cbrt-undiv div-exp
4×pow1 div-inv associate-/l* add-log-exp
3×associate-/l/
2×frac-2neg pow1/3 prod-exp clear-num cbrt-unprod
1×flip3-- div-sub associate-*l/ associate-/r/ frac-sub flip--
Counts
4 → 129
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
80.0ms
(/ (- (* (/ z y) z) (/ t 2.0)) (cbrt z))
82.0ms
(/ (* (cbrt z) (cbrt z)) (/ (- (* (/ z y) z) (/ t 2.0)) (cbrt z)))

series1.7s

Counts
4 → 12
Calls
4 calls:
809.0ms
(cbrt z)
412.0ms
(cbrt z)
351.0ms
(/ (- (* (/ z y) z) (/ t 2.0)) (cbrt z))
165.0ms
(/ (* (cbrt z) (cbrt z)) (/ (- (* (/ z y) z) (/ t 2.0)) (cbrt z)))

simplify4.8s

Counts
141 → 141
Iterations
IterNodes
done5000
21924
1584
0199

prune4.9s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 1.4b

regimes1.3s

Accuracy

0% (0.2b remaining)

Error of 1.4b against oracle of 1.2b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample4.9s

Algorithm
intervals
Results
4.4s8000×body80valid