Details

Time bar (total: 10.4s)

sample26.0ms

Algorithm
intervals
Results
12.0ms283×body80valid

simplify152.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
114164
229164
354164
481164
5109164
6129164
7139164
8150164
9154164
10160164
11162164
done162164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
23.0ms
(* x (- y z))
19.0ms
(/ (* x (- y z)) (- t z))

series139.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* x (- y z))
90.0ms
(/ (* x (- y z)) (- t z))

simplify1.0s

Counts
61 → 61
Iterations

Useful iterations: done (1.0s)

IterNodesCost
010511665
128010457
2111310377
done500010137

prune296.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.9b
(/ x (/ (- t z) (- y z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×div-sub
Counts
2 → 194
Calls
2 calls:
25.0ms
(/ (- t z) (- y z))
22.0ms
(/ x (/ (- t z) (- y z)))

series282.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (- t z) (- y z))
220.0ms
(/ x (/ (- t z) (- y z)))

simplify1.8s

Counts
200 → 200
Iterations

Useful iterations: done (1.8s)

IterNodesCost
027077703
173272311
2379970601
done500170561

prune892.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.0b
(* x (/ (- y z) (- t z)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 102
Calls
2 calls:
29.0ms
(/ (- y z) (- t z))
44.0ms
(* x (/ (- y z) (- t z)))

series164.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (- y z) (- t z))
107.0ms
(* x (/ (- y z) (- t z)))

simplify1.6s

Counts
108 → 108
Iterations

Useful iterations: done (1.6s)

IterNodesCost
013826916
137424895
2151624489
done500024409

prune578.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (- t z))
2.0b
(* x (- (/ y (- t z)) (/ z (- t z))))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
42×add-sqr-sqrt
33×times-frac
18×associate-*r*
16×add-cube-cbrt distribute-lft-out--
10×difference-of-squares
6×add-cbrt-cube add-exp-log associate-/r/
5×associate-/r*
4×pow1 flip3-- associate-*r/ flip--
3×distribute-rgt-out-- associate-*l* div-inv associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
2 → 78
Calls
2 calls:
10.0ms
(/ z (- t z))
287.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

series159.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ z (- t z))
100.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: done (1.1s)

IterNodesCost
014218240
136016766
2125216482
done500116442

prune436.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes344.0ms

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
08164
done8164

end0.0ms

sample879.0ms

Algorithm
intervals
Results
487.0ms8714×body80valid