Details

Time bar (total: 17.7s)

sample30.0ms

Algorithm
intervals
Results
11.0ms267×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3659
41569
52579
64009
76029
87339
98279
108349
done8349

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.2b
(/ x (* (- y z) (- t z)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
63.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

series222.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (- y z) (- t z))
179.0ms
(/ x (* (- y z) (- t z)))

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0124860
1299844
21207756
done5000752

prune474.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(* (cbrt x) (cbrt x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(* (cbrt x) (cbrt x))

series1.0s

Counts
4 → 12
Calls
4 calls:
224.0ms
(cbrt x)
261.0ms
(cbrt x)
244.0ms
(cbrt x)
302.0ms
(* (cbrt x) (cbrt x))

simplify4.5s

Counts
85 → 85
Iterations

Useful iterations: done (4.5s)

IterNodesCost
061524
1115417
2321397
31098379
44542374
done5000364

prune301.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.1b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
14.0ms
(/ x (- t z))
13.0ms
(/ 1 (- y z))
81.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series361.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ x (- t z))
54.0ms
(/ 1 (- y z))
273.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.7s

Counts
159 → 159
Iterations

Useful iterations: 2 (307.0ms)

IterNodesCost
01981884
14961646
213521470
339791470
done50001470

prune388.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ (- t z) x)
0.5b
(/ 1 (/ (- t z) x))
1.1b
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
292×times-frac
247×add-sqr-sqrt
211×*-un-lft-identity
136×add-cube-cbrt
104×add-exp-log
62×associate-*r*
52×div-exp
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
28×prod-exp
27×associate-/r*
21×associate-*l*
18×rec-exp 1-exp
15×unswap-sqr
14×cbrt-undiv
12×div-inv
11×associate-/l*
10×pow1
6×associate-/r/ cbrt-unprod
4×pow-flip inv-pow add-log-exp
3×flip3-- frac-2neg pow-prod-down clear-num flip--
2×associate-/l/
1×frac-times div-sub associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
4 → 326
Calls
4 calls:
12.0ms
(/ 1 (- y z))
16.0ms
(/ (- t z) x)
20.0ms
(/ 1 (/ (- t z) x))
114.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series941.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 1 (- y z))
42.0ms
(/ (- t z) x)
93.0ms
(/ 1 (/ (- t z) x))
758.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify1.9s

Counts
338 → 338
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03705023
19924083
221263464
done50003434

prune704.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample958.0ms

Algorithm
intervals
Results
396.0ms8466×body80valid