Details

Time bar (total: 10.6s)

sample31.0ms

Algorithm
intervals
Results
10.0ms310×body80valid

simplify12.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize10.0ms

Local error

Found 1 expressions with local error:

4.0b
(/ (* x y) z)

rewrite12.0ms

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:
11.0ms
(/ (* x y) z)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (* x y) z)

simplify792.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2624
1119
048

prune91.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

4.1b
(* (* x y) (/ 1 z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×add-cbrt-cube associate-*r*
12×prod-exp
9×times-frac
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×associate-*l* associate-*r/ un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
23.0ms
(* (* x y) (/ 1 z))

series25.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* (* x y) (/ 1 z))

simplify1.3s

Counts
41 → 41
Iterations
IterNodes
done5002
21592
1248
083

prune133.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z)))
2.8b
(* (/ x (cbrt z)) (/ y (cbrt z)))

rewrite90.0ms

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-*r*
40×add-cbrt-cube prod-exp
39×cbrt-prod
30×div-exp
23×associate-*l*
22×cbrt-unprod
17×cbrt-undiv
11×pow1
9×unswap-sqr
6×frac-times associate-*l/
5×rec-exp 1-exp
4×pow-prod-down associate-*r/ add-log-exp
3×div-inv
2×pow1/3 *-commutative
1×un-div-inv
Counts
4 → 166
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
53.0ms
(* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z)))
29.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

series641.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt z)
226.0ms
(cbrt z)
55.0ms
(* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z)))
169.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

simplify981.0ms

Counts
178 → 178
Iterations
IterNodes
done5000
1850
0250

prune933.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize165.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (/ x (cbrt z)) (/ y (cbrt z)))
13.9b
(cbrt (* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z))))
13.9b
(cbrt (* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z))))
13.9b
(cbrt (* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
48×times-frac
30×*-un-lft-identity add-cube-cbrt
27×cbrt-prod
24×cbrt-div
22×associate-*r* associate-*l*
16×frac-times associate-*l/ add-exp-log
12×add-cbrt-cube
10×associate-*r/
9×unswap-sqr
6×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3 un-div-inv
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 124
Calls
4 calls:
29.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))
55.0ms
(cbrt (* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z))))
45.0ms
(cbrt (* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z))))
68.0ms
(cbrt (* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z))))

series510.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))
95.0ms
(cbrt (* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z))))
95.0ms
(cbrt (* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z))))
97.0ms
(cbrt (* (* (/ x (cbrt z)) (/ y (cbrt z))) (/ 1 (cbrt z))))

simplify2.3s

Counts
136 → 136
Iterations
IterNodes
done5001
23094
1563
0199

prune948.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes539.0ms

Accuracy

51% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 4.7b

bsearch2.0ms

simplify11.0ms

Iterations
IterNodes
done32
332
229
126
018

end0.0ms

sample766.0ms

Algorithm
intervals
Results
311.0ms9605×body80valid