Details

Time bar (total: 11.8s)

sample18.0ms

Algorithm
intervals
Results
9.0ms300×body80valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1167
2217
3327
4357
5417
6457
7537
82287
913907
1041287
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
13.4b
(/ (* x (+ y z)) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
9.0ms
(* x (+ y z))
10.0ms
(/ (* x (+ y z)) z)

series60.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ y z))
35.0ms
(/ (* x (+ y z)) z)

simplify2.2s

Counts
52 → 52
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
085458
1225434
2881376
34798376
done5000376

prune94.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.3b
(/ x (/ z (+ y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×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 → 123
Calls
2 calls:
5.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ z (+ y z))
44.0ms
(/ x (/ z (+ y z)))

simplify746.0ms

Counts
129 → 129
Iterations

Useful iterations: done (743.0ms)

IterNodesCost
01871758
14141632
215251564
done50001560

prune239.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.7b
(* x (/ (+ y z) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
8.0ms
(/ (+ y z) z)
14.0ms
(* x (/ (+ y z) z))

series56.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y z) z)
38.0ms
(* x (/ (+ y z) z))

simplify1.5s

Counts
74 → 74
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
097719
1233681
2770619
32915619
done5000619

prune131.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
6.4b
(/ (* x y) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
7.0ms
(+ (/ (* x y) z) x)
4.0ms
(/ (* x y) z)

series46.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (/ (* x y) z) x)
19.0ms
(/ (* x y) z)

simplify1.0s

Counts
39 → 39
Iterations

Useful iterations: 3 (291.0ms)

IterNodesCost
067359
1169337
2550305
32666301
done5001301

prune61.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample385.0ms

Algorithm
intervals
Results
198.0ms9615×body80valid