Details

Time bar (total: 14.1s)

sample56.0ms

Algorithm
intervals
Results
17.0ms257×body80valid
10.0ms264×body80nan

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5001
101386
9476
8238
7133
693
571
441
323
216
113
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.2b
(* x (log (/ x y)))
15.2b
(log (/ x y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
42×add-sqr-sqrt
40×*-un-lft-identity add-cube-cbrt
26×distribute-rgt-in distribute-lft-in associate--l+
8×add-exp-log
7×pow1
5×add-cbrt-cube div-inv add-log-exp
4×associate-*r*
3×associate-*l*
2×rem-log-exp log-pow
1×log-div sub-neg flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-- unswap-sqr
Counts
3 → 107
Calls
3 calls:
25.0ms
(- (* x (log (/ x y))) z)
21.0ms
(* x (log (/ x y)))
4.0ms
(log (/ x y))

series232.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(- (* x (log (/ x y))) z)
62.0ms
(* x (log (/ x y)))
45.0ms
(log (/ x y))

simplify945.0ms

Counts
116 → 116
Iterations
IterNodes
done5000
2985
1393
0192

prune769.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (cbrt y) (cbrt y))
4.4b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×cbrt-prod
19×add-exp-log
15×*-un-lft-identity add-cube-cbrt
12×pow1
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
5×log-prod rem-log-exp prod-exp
4×add-cbrt-cube div-exp add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 log-div times-frac pow-plus log-pow *-commutative cbrt-unprod div-inv
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
18.0ms
(* (cbrt y) (cbrt y))
21.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series989.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt x)
290.0ms
(cbrt x)
292.0ms
(* (cbrt y) (cbrt y))
138.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify895.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
2822
1235
0113

prune742.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
320.0ms
(cbrt y)
280.0ms
(cbrt x)
248.0ms
(cbrt x)
263.0ms
(cbrt x)

simplify1.1s

Counts
56 → 56
Iterations
IterNodes
done5000
41842
3637
2206
175
042

prune475.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.8b
(log (/ (cbrt x) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
7×add-exp-log
5×pow1
4×add-cbrt-cube add-log-exp
3×pow1/3
2×rem-log-exp
1×log-div div-exp log-pow div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(log (/ (cbrt x) y))

series1.0s

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt x)
320.0ms
(cbrt x)
229.0ms
(cbrt x)
194.0ms
(log (/ (cbrt x) y))

simplify1.0s

Counts
78 → 78
Iterations
IterNodes
done5001
32032
2509
1202
0109

prune590.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes464.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample2.0s

Algorithm
intervals
Results
490.0ms8033×body80valid
408.0ms8069×body80nan