Details

Time bar (total: 14.0s)

sample22.0ms

Algorithm
intervals
Results
11.0ms321×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2459
31129
42119
53249
64709
79689
847619
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize7.0ms

Local error

Found 1 expressions with local error:

10.2b
(/ (* x (+ (- y z) 1.0)) z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv associate-*r/ div-exp associate-/l/
1×pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
19.0ms
(/ (* x (+ (- y z) 1.0)) z)

series52.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify1.5s

Counts
28 → 28
Iterations

Useful iterations: 3 (454.0ms)

IterNodesCost
067364
1183354
2676297
33565286
done5000286

prune75.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

2.0b
(* (/ x z) (+ 1.0 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
4×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv distribute-rgt-in expm1-log1p-u distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out add-log-exp
Counts
1 → 41
Calls
1 calls:
15.0ms
(* (/ x z) (+ 1.0 y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (/ x z) (+ 1.0 y))

simplify2.0s

Counts
44 → 44
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
094458
1322436
2996392
33632392
done5000392

prune114.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.4b
(/ x (/ z (+ (- y z) 1.0)))

rewrite49.0ms

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:
18.0ms
(/ z (+ (- y z) 1.0))
24.0ms
(/ x (/ z (+ (- y z) 1.0)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ z (+ (- y z) 1.0))
52.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify701.0ms

Counts
149 → 149
Iterations

Useful iterations: done (695.0ms)

IterNodesCost
02042436
14632269
215212172
done50002167

prune312.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
6.9b
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
522×*-un-lft-identity
292×add-sqr-sqrt add-cube-cbrt
92×distribute-lft-out
46×distribute-lft-out--
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-+ flip-+
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 376
Calls
2 calls:
19.0ms
(/ 1 (+ (- y z) 1.0))
32.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 1 (+ (- y z) 1.0))
47.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

simplify1.8s

Counts
382 → 382
Iterations

Useful iterations: 2 (964.0ms)

IterNodesCost
04929045
114327299
238616780
done50016780

prune472.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes118.0ms

Accuracy

74% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02051
12743
done2743

end0.0ms

sample455.0ms

Algorithm
intervals
Results
253.0ms10093×body80valid