Details

Time bar (total: 11.6s)

sample19.0ms

Algorithm
intervals
Results
6.0ms324×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done16
416
315
212
18
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize6.0ms

Local error

Found 1 expressions with local error:

5.4b
(/ (* 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:
7.0ms
(/ (* x y) z)

series22.0ms

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

simplify983.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2624
1119
048

prune107.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
3.8b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite45.0ms

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)
40.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series825.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt z)
257.0ms
(cbrt z)
220.0ms
(cbrt z)
62.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.5s

Counts
104 → 104
Iterations
IterNodes
done5001
22981
1451
0140

prune489.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
1.2b
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))
3.2b
(* (/ x (cbrt z)) (/ y (cbrt z)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
93×add-exp-log
75×add-sqr-sqrt
66×times-frac
45×*-un-lft-identity add-cube-cbrt
44×associate-*l*
40×add-cbrt-cube prod-exp
39×cbrt-prod
30×div-exp
23×associate-*r*
22×cbrt-unprod
17×cbrt-undiv
11×pow1
9×unswap-sqr
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 165
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
57.0ms
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))
33.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

series743.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt z)
199.0ms
(cbrt z)
57.0ms
(* (/ 1 (cbrt z)) (* (/ x (cbrt z)) (/ y (cbrt z))))
201.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

simplify935.0ms

Counts
177 → 177
Iterations
IterNodes
done5000
1793
0239

prune973.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
1.2b
(* (/ 1 (cbrt z)) (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))))

rewrite345.0ms

Algorithm
rewrite-expression-head
Rules
688×add-exp-log
379×prod-exp
252×div-exp
161×add-cbrt-cube
128×cbrt-unprod
82×cbrt-undiv
76×1-exp
29×associate-*l*
26×rec-exp
22×frac-times associate-*r/
21×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
18×pow1
15×cbrt-prod
10×associate-*l/
9×pow-prod-down
4×add-log-exp
2×pow1/3 associate-*r* *-commutative div-inv
Counts
4 → 272
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
68.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
242.0ms
(* (/ 1 (cbrt z)) (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))))

series662.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt x)
225.0ms
(cbrt x)
133.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))))
26.0ms
(* (/ 1 (cbrt z)) (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z)))))

simplify1.9s

Counts
284 → 284
Iterations
IterNodes
done5000
11465
0362

prune840.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes455.0ms

Accuracy

87.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 4.0b

bsearch1.0ms

simplify7.0ms

Iterations
IterNodes
done32
132
024

end0.0ms

sample578.0ms

Algorithm
intervals
Results
287.0ms9638×body80valid