Details

Time bar (total: 3.4s)

sample18.0ms

Algorithm
intervals
Results
7.0ms315×body80valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750014
done50014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.9b
(/ (* x (+ (- y z) 1.0)) z)

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
74.0ms
(* x (+ (- y z) 1.0))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

series74.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (+ (- y z) 1.0))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify36.0ms

Counts
53 → 53
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0254285
11225238
25001238
done5001238

prune100.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.8b
(/ x (/ z (+ (- y z) 1.0)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
37.0ms
(/ z (+ (- y z) 1.0))
43.0ms
(/ x (/ z (+ (- y z) 1.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ z (+ (- y z) 1.0))
45.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify57.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04551177
121101129
250021126
done50021126

prune243.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

rewrite4.0ms

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

series690.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
170.0ms
(cbrt z)
175.0ms
(cbrt z)
170.0ms
(cbrt z)

simplify56.0ms

Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136
done5001136

prune190.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
0.4b
(/ 1 (/ (+ (- y z) 1.0) z))
2.8b
(/ x (/ 1 (/ (+ (- y z) 1.0) z)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
726×times-frac
580×*-un-lft-identity
320×add-sqr-sqrt add-cube-cbrt
104×distribute-lft-out
84×associate-/r*
52×distribute-lft-out--
35×add-exp-log
23×div-inv
22×div-exp
19×add-cbrt-cube
11×associate-/l*
10×cbrt-undiv
6×associate-/r/
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num add-log-exp
2×associate-/l/
1×associate-+l- pow-flip flip3-+ div-sub flip-+ inv-pow
Counts
3 → 410
Calls
3 calls:
66.0ms
(/ (+ (- y z) 1.0) z)
43.0ms
(/ 1 (/ (+ (- y z) 1.0) z))
56.0ms
(/ x (/ 1 (/ (+ (- y z) 1.0) z)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (+ (- y z) 1.0) z)
62.0ms
(/ 1 (/ (+ (- y z) 1.0) z))
47.0ms
(/ x (/ 1 (/ (+ (- y z) 1.0) z)))

simplify64.0ms

Counts
419 → 419
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011204397
150013861
done50013861

prune551.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes125.0ms

Accuracy

62.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416
done2416

end0.0ms

sample501.0ms

Algorithm
intervals
Results
222.0ms10151×body80valid