Details

Time bar (total: 4.4s)

sample20.0ms

Algorithm
intervals
Results
7.0ms292×body80valid

simplify91.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012
done50012

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize4.0ms

Local error

Found 1 expressions with local error:

7.0b
(* x (/ y z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
14.0ms
(* x (/ y z))

series24.0ms

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

simplify74.0ms

Counts
37 → 37
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0168139
1746124
23155124
35002124
done5002124

prune90.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
43.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series682.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt z)
191.0ms
(cbrt z)
193.0ms
(cbrt z)
104.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify48.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0308503
11348411
25001372
done5001372

prune262.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series803.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt y)
202.0ms
(cbrt z)
199.0ms
(cbrt z)
202.0ms
(cbrt z)

simplify65.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152
done5001152

prune224.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

2.0b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
7.2b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
7.2b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
7.2b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
9×add-sqr-sqrt prod-exp cbrt-unprod
6×pow1 add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×cbrt-undiv expm1-log1p-u associate-*r/ div-exp log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×times-frac unswap-sqr
1×pow-prod-down *-commutative div-inv
Counts
4 → 68
Calls
4 calls:
40.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
31.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
29.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
32.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

series625.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
169.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
172.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
178.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

simplify45.0ms

Counts
80 → 80
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0326890
11395755
25002711
done5002711

prune280.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212
11212
done1212

end0.0ms

sample547.0ms

Algorithm
intervals
Results
234.0ms9563×body80valid