Details

Time bar (total: 12.1s)

sample38.0ms

Algorithm
intervals
Results
16.0ms269×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3659
41569
54079
613729
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.8b
(/ x (* (- y z) (- t z)))

rewrite121.0ms

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:
81.0ms
(* (- y z) (- t z))
35.0ms
(/ x (* (- y z) (- t z)))

series231.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (- y z) (- t z))
172.0ms
(/ x (* (- y z) (- t z)))

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0124860
1312844
21647762
done5000756

prune266.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.3b
(/ (/ x (- y z)) (- t z))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
13.0ms
(/ x (- y z))
52.0ms
(/ (/ x (- y z)) (- t z))

series270.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (- y z))
238.0ms
(/ (/ x (- y z)) (- t z))

simplify1.3s

Counts
191 → 191
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02643352
16523172
225043104
done50003100

prune703.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.8b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite120.0ms

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:
19.0ms
(/ 1 (- y z))
12.0ms
(/ x (- t z))
77.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series484.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ 1 (- y z))
54.0ms
(/ x (- t z))
367.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify1.8s

Counts
159 → 159
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01981884
15651738
232401488
done50011478

prune400.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ (- t z) x)
0.5b
(/ 1 (/ (- t z) x))
1.8b
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite210.0ms

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:
13.0ms
(/ 1 (- y z))
18.0ms
(/ (- t z) x)
30.0ms
(/ 1 (/ (- t z) x))
129.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series926.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ 1 (- y z))
31.0ms
(/ (- t z) x)
91.0ms
(/ 1 (/ (- t z) x))
760.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify836.0ms

Counts
338 → 338
Iterations

Useful iterations: done (822.0ms)

IterNodesCost
03705023
112374189
done50003805

prune830.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample801.0ms

Algorithm
intervals
Results
362.0ms8447×body80valid