Details

Time bar (total: 11.7s)

sample27.0ms

Algorithm
intervals
Results
12.0ms287×body80valid

simplify178.0ms

Counts
1 → 1
Iterations
IterNodes
done281
8281
7271
6242
5192
4138
388
246
120
010

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.9b
(- (* y z) (* t z))
2.9b
(/ (* x 2.0) (- (* y z) (* t z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
4×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt add-log-exp
3×distribute-rgt-out--
2×expm1-log1p-u pow1 cbrt-undiv flip3-- div-exp associate-/r/ log1p-expm1-u flip--
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff prod-exp cbrt-unprod div-inv associate-/l*
Counts
2 → 44
Calls
2 calls:
10.0ms
(- (* y z) (* t z))
14.0ms
(/ (* x 2.0) (- (* y z) (* t z)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (* y z) (* t z))
81.0ms
(/ (* x 2.0) (- (* y z) (* t z)))

simplify592.0ms

Counts
50 → 50
Iterations
IterNodes
done5000
21121
1236
087

prune221.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
3.2b
(* x (/ (/ 2.0 z) (- y t)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-cbrt-cube add-exp-log
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×expm1-log1p-u flip3-- log1p-expm1-u flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 197
Calls
2 calls:
14.0ms
(/ (/ 2.0 z) (- y t))
45.0ms
(* x (/ (/ 2.0 z) (- y t)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (/ 2.0 z) (- y t))
52.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify1.1s

Counts
203 → 203
Iterations
IterNodes
done5000
23606
1781
0278

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

2.9b
(/ (* x 2.0) (* (* (cbrt (* z (- y t))) (cbrt (* z (- y t)))) (cbrt (* z (- y t)))))
12.1b
(cbrt (* z (- y t)))
12.1b
(cbrt (* z (- y t)))
12.1b
(cbrt (* z (- y t)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r/
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-/r/
25×add-exp-log
17×add-cbrt-cube
14×associate-*l/
9×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cube-cbrt log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
1×clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
4 → 92
Calls
4 calls:
61.0ms
(/ (* x 2.0) (* (* (cbrt (* z (- y t))) (cbrt (* z (- y t)))) (cbrt (* z (- y t)))))
8.0ms
(cbrt (* z (- y t)))
10.0ms
(cbrt (* z (- y t)))
6.0ms
(cbrt (* z (- y t)))

series833.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(/ (* x 2.0) (* (* (cbrt (* z (- y t))) (cbrt (* z (- y t)))) (cbrt (* z (- y t)))))
272.0ms
(cbrt (* z (- y t)))
213.0ms
(cbrt (* z (- y t)))
221.0ms
(cbrt (* z (- y t)))

simplify1.1s

Counts
104 → 104
Iterations
IterNodes
done5000
22132
1541
0179

prune725.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 2.0 z))
0.6b
(cbrt (/ 2.0 z))
0.6b
(cbrt (/ 2.0 z))
3.3b
(/ (* (* (cbrt (/ 2.0 z)) (cbrt (/ 2.0 z))) x) (* (cbrt (- y t)) (cbrt (- y t))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
28×times-frac
25×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
19×cbrt-div
15×add-cbrt-cube
9×prod-exp cbrt-unprod
8×associate-/r/
6×cbrt-undiv flip3-- div-exp associate-*l/ flip--
5×frac-times
4×expm1-log1p-u pow1 log1p-expm1-u div-inv add-log-exp
3×pow1/3 associate-*r/ associate-/l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
4 → 110
Calls
4 calls:
2.0ms
(cbrt (/ 2.0 z))
2.0ms
(cbrt (/ 2.0 z))
2.0ms
(cbrt (/ 2.0 z))
78.0ms
(/ (* (* (cbrt (/ 2.0 z)) (cbrt (/ 2.0 z))) x) (* (cbrt (- y t)) (cbrt (- y t))))

series1.4s

Counts
4 → 12
Calls
4 calls:
324.0ms
(cbrt (/ 2.0 z))
291.0ms
(cbrt (/ 2.0 z))
353.0ms
(cbrt (/ 2.0 z))
392.0ms
(/ (* (* (cbrt (/ 2.0 z)) (cbrt (/ 2.0 z))) x) (* (cbrt (- y t)) (cbrt (- y t))))

simplify1.0s

Counts
122 → 122
Iterations
IterNodes
done5000
21794
1476
0185

prune1.0s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes795.0ms

Accuracy

80.3% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 5.6b

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
done35
335
232
129
023

end0.0ms

sample1.1s

Algorithm
intervals
Results
442.0ms8727×body80valid