Details

Time bar (total: 4.0s)

sample19.0ms

Algorithm
intervals
Results
7.0ms315×body80valid

simplify90.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1464
21214
32584
44344
56874
619574
750024
done50024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite118.0ms

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 expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u 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 → 51
Calls
2 calls:
78.0ms
(* x (+ (- y z) 1.0))
38.0ms
(/ (* x (+ (- y z) 1.0)) z)

series87.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (+ (- y z) 1.0))
49.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify47.0ms

Counts
57 → 57
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0262303
11268253
25002253
done5002253

prune126.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
37.0ms
(/ z (+ (- y z) 1.0))
46.0ms
(/ x (/ z (+ (- y z) 1.0)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ z (+ (- y z) 1.0))
49.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify72.0ms

Counts
149 → 149
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04631195
121431142
250011140
done50011140

prune310.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

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 x)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series789.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt x)
196.0ms
(cbrt z)
199.0ms
(cbrt z)
199.0ms
(cbrt z)

simplify71.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152
done5001152

prune266.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

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)))

rewrite201.0ms

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×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×associate-+l- pow-flip flip3-+ div-sub flip-+ inv-pow
Counts
3 → 416
Calls
3 calls:
68.0ms
(/ (+ (- y z) 1.0) z)
42.0ms
(/ 1 (/ (+ (- y z) 1.0) z))
59.0ms
(/ x (/ 1 (/ (+ (- y z) 1.0) z)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (+ (- y z) 1.0) z)
76.0ms
(/ 1 (/ (+ (- y z) 1.0) z))
49.0ms
(/ x (/ 1 (/ (+ (- y z) 1.0) z)))

simplify85.0ms

Counts
425 → 425
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
011304427
150023882
done50023882

prune695.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes140.0ms

Accuracy

62.7% (0.7b remaining)

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

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416
done2416

end0.0ms

sample520.0ms

Algorithm
intervals
Results
242.0ms10151×body80valid