Details

Time bar (total: 15.4s)

sample47.0ms

Algorithm
intervals
Results
20.0ms274×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
24011
38011
417411
529711
642011
757711
872211
982111
1083511
done83511

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
6.4b
(/ x (* (- y z) (- y t)))

rewrite94.0ms

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:
71.0ms
(* (- y z) (- y t))
18.0ms
(/ x (* (- y z) (- y t)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (- y z) (- y t))
118.0ms
(/ x (* (- y z) (- y t)))

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: 2 (273.0ms)

IterNodesCost
0125860
1303838
21214754
done5000754

prune278.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y t))
0.0b
(/ 1 (- y z))
2.0b
(* (/ 1 (- y z)) (/ x (- y t)))

rewrite132.0ms

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:
12.0ms
(/ x (- y t))
22.0ms
(/ 1 (- y z))
92.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ x (- y t))
42.0ms
(/ 1 (- y z))
180.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify3.2s

Counts
159 → 159
Iterations

Useful iterations: 2 (444.0ms)

IterNodesCost
01981884
15001646
213601470
340011470
done50001470

prune479.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.6b
(/ (/ x (- y z)) (- y t))

rewrite91.0ms

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:
26.0ms
(/ x (- y z))
42.0ms
(/ (/ x (- y z)) (- y t))

series155.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ x (- y z))
98.0ms
(/ (/ x (- y z)) (- y t))

simplify2.8s

Counts
191 → 191
Iterations

Useful iterations: 2 (370.0ms)

IterNodesCost
02643352
16383172
216573096
349883096
done50003096

prune636.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (- (* y y) (* z z)) (- y t))
4.1b
(- (* y y) (* z z))
5.0b
(/ x (* (- (* y y) (* z z)) (- y t)))
13.7b
(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×flip3-- associate-*l* flip--
17×add-sqr-sqrt
16×associate-/r/
15×*-un-lft-identity
14×frac-times
11×add-cube-cbrt
9×associate-*r*
8×pow1 associate-*r/
7×associate-*l/
6×times-frac prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv div-exp
3×distribute-rgt-in sub-neg distribute-lft-in associate-/l* difference-of-squares
2×flip3-+ pow-prod-down *-commutative flip-+ div-inv unswap-sqr
1×frac-2neg diff-log clear-num associate-/r* distribute-lft-out distribute-lft-out--
Counts
4 → 117
Calls
4 calls:
74.0ms
(* (- (* y y) (* z z)) (- y t))
16.0ms
(- (* y y) (* z z))
26.0ms
(/ x (* (- (* y y) (* z z)) (- y t)))
130.0ms
(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

series344.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (- (* y y) (* z z)) (- y t))
40.0ms
(- (* y y) (* z z))
125.0ms
(/ x (* (- (* y y) (* z z)) (- y t)))
131.0ms
(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

simplify1.6s

Counts
129 → 129
Iterations

Useful iterations: 2 (655.0ms)

IterNodesCost
01912369
16052274
227961922
done50011922

prune508.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.4s

Algorithm
intervals
Results
571.0ms8461×body80valid