Details

Time bar (total: 18.1s)

sample43.0ms

Algorithm
intervals
Results
19.0ms300×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5001
41017
3146
242
116
08

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize6.0ms

Local error

Found 1 expressions with local error:

8.2b
(/ (* x y) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×pow1 clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
8.0ms
(/ (* x y) z)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (* x y) z)

simplify914.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2624
1119
048

prune130.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.7b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×*-un-lft-identity associate-*r* add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
38.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series923.0ms

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt z)
281.0ms
(cbrt z)
291.0ms
(cbrt z)
59.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify2.0s

Counts
104 → 104
Iterations
IterNodes
done5001
22981
1451
0140

prune559.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.9b
(/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
4×pow1 prod-exp cbrt-unprod add-log-exp
3×times-frac pow1/3 associate-/r/ associate-/l*
1×frac-times clear-num associate-/r* frac-2neg associate-*l/ associate-*r/ div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
15.0ms
(/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
689.0ms
(cbrt y)
241.0ms
(cbrt y)
262.0ms
(cbrt y)
128.0ms
(/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y))))

simplify1.6s

Counts
75 → 75
Iterations
IterNodes
done5000
2867
1281
0114

prune494.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.6b
(* (* (/ x (* (cbrt z) (cbrt z))) y) (/ 1 (cbrt z)))
3.4b
(* (/ x (* (cbrt z) (cbrt z))) y)

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
36×prod-exp
35×add-cbrt-cube
26×add-sqr-sqrt
25×associate-*r*
22×*-un-lft-identity times-frac add-cube-cbrt
20×cbrt-unprod
18×div-exp
15×cbrt-prod
11×pow1
10×cbrt-undiv
8×associate-*l*
4×rec-exp 1-exp pow-prod-down associate-*l/ add-log-exp
2×pow1/3 *-commutative div-inv unswap-sqr
1×frac-times associate-*r/ un-div-inv
Counts
4 → 111
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
115.0ms
(* (* (/ x (* (cbrt z) (cbrt z))) y) (/ 1 (cbrt z)))
46.0ms
(* (/ x (* (cbrt z) (cbrt z))) y)

series914.0ms

Counts
4 → 12
Calls
4 calls:
320.0ms
(cbrt z)
278.0ms
(cbrt z)
63.0ms
(* (* (/ x (* (cbrt z) (cbrt z))) y) (/ 1 (cbrt z)))
252.0ms
(* (/ x (* (cbrt z) (cbrt z))) y)

simplify5.5s

Counts
123 → 123
Iterations
IterNodes
done5000
24201
1577
0182

prune609.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes520.0ms

Accuracy

62.9% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 5.3b

bsearch2.0ms

simplify5.0ms

Iterations
IterNodes
done27
327
224
121
017

end0.0ms

sample929.0ms

Algorithm
intervals
Results
519.0ms9539×body80valid