Details

Time bar (total: 44.2s)

sample38.0ms

Algorithm
intervals
Results
16.0ms351×body80valid

simplify17.4s

Counts
1 → 1
Iterations
IterNodes
done5000
94861
82507
71657
6883
5400
4171
384
234
114
08

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize49.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.3b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
50.0ms
(* (- 1.0 y) z)
83.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series314.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (- 1.0 y) z)
252.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify5.2s

Counts
52 → 52
Iterations
IterNodes
done5002
33174
2680
1226
093

prune474.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* x z) y) (* x (- 1.0 (* z 1.0))))
0.0b
(* x (- 1.0 (* z 1.0)))
2.4b
(* (* x z) y)

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×*-un-lft-identity associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative
1×+-commutative flip3-- distribute-rgt-out-- flip3-+ sum-log flip-- flip-+ unswap-sqr
Counts
3 → 58
Calls
3 calls:
50.0ms
(+ (* (* x z) y) (* x (- 1.0 (* z 1.0))))
40.0ms
(* x (- 1.0 (* z 1.0)))
38.0ms
(* (* x z) y)

series261.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(+ (* (* x z) y) (* x (- 1.0 (* z 1.0))))
87.0ms
(* x (- 1.0 (* z 1.0)))
50.0ms
(* (* x z) y)

simplify2.8s

Counts
67 → 67
Iterations
IterNodes
done5001
21096
1294
0104

prune600.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.4b
(* (* x z) (* (cbrt y) (cbrt y)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
71.0ms
(* (* x z) (* (cbrt y) (cbrt y)))

series1.5s

Counts
4 → 12
Calls
4 calls:
422.0ms
(cbrt y)
557.0ms
(cbrt y)
363.0ms
(cbrt y)
201.0ms
(* (* x z) (* (cbrt y) (cbrt y)))

simplify3.7s

Counts
67 → 67
Iterations
IterNodes
done5015
32253
2631
1184
068

prune971.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize299.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
2.4b
(* (* x z) (* (cbrt y) (cbrt y)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
15×cbrt-prod
12×add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 58
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
3.0ms
(cbrt (cbrt y))
72.0ms
(* (* x z) (* (cbrt y) (cbrt y)))

series2.1s

Counts
4 → 12
Calls
4 calls:
381.0ms
(cbrt y)
573.0ms
(cbrt y)
854.0ms
(cbrt (cbrt y))
293.0ms
(* (* x z) (* (cbrt y) (cbrt y)))

simplify4.3s

Counts
70 → 70
Iterations
IterNodes
done5001
32444
2679
1217
086

prune663.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes1.2s

Accuracy

67.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.5b

bsearch224.0ms

Steps
ItersRangePoint
10
1.4661899792536296e+172
3.1446247546695823e+190
1.4891611371627226e+172
10
-6.310008164313425e-06
-2.0980722130609105e-21
-2.050645731720802e-19

simplify11.0ms

Iterations
IterNodes
done34
134
022

end0.0ms

sample1.5s

Algorithm
intervals
Results
901.0ms10123×body80valid