Details

Time bar (total: 16.8s)

sample21.0ms

Algorithm
intervals
Results
10.0ms274×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
24011
38411
419811
538511
660911
791311
8112811
9149711
10155211
11155811
done155811

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 85
Calls
2 calls:
57.0ms
(* (- y z) (- y t))
24.0ms
(/ x (* (- y z) (- y t)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y z) (- y t))
70.0ms
(/ x (* (- y z) (- y t)))

simplify1.1s

Counts
91 → 91
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01771460
13901272
213911098
done50001074

prune230.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite106.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 156
Calls
3 calls:
16.0ms
(/ x (- y t))
13.0ms
(/ 1 (- y z))
71.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series294.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ x (- y t))
52.0ms
(/ 1 (- y z))
187.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify2.8s

Counts
165 → 165
Iterations

Useful iterations: 2 (311.0ms)

IterNodesCost
02041932
15101689
213771513
340981513
done50001513

prune512.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
18.0ms
(/ x (- y z))
57.0ms
(/ (/ x (- y z)) (- y t))

series124.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (- y z))
88.0ms
(/ (/ x (- y z)) (- y t))

simplify1.5s

Counts
195 → 195
Iterations

Useful iterations: 2 (386.0ms)

IterNodesCost
02683384
16463198
216733122
done50003122

prune752.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

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))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×flip3-- associate-*l* prod-diff flip--
16×associate-/r/
14×frac-times
12×distribute-rgt-in distribute-lft-in
9×associate-*r*
8×pow1 associate-*r/
7×associate-*l/
6×times-frac prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×sub-neg associate-/l* difference-of-squares
2×flip3-+ pow-prod-down *-commutative flip-+ div-inv unswap-sqr
1×frac-2neg fma-neg diff-log clear-num associate-/r* distribute-lft-out distribute-lft-out--
Counts
4 → 145
Calls
4 calls:
59.0ms
(* (- (* y y) (* z z)) (- y t))
9.0ms
(- (* y y) (* z z))
22.0ms
(/ x (* (- (* y y) (* z z)) (- y t)))
114.0ms
(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

series407.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (- (* y y) (* z z)) (- y t))
44.0ms
(- (* y y) (* z z))
132.0ms
(/ x (* (- (* y y) (* z z)) (- y t)))
175.0ms
(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

simplify2.3s

Counts
157 → 157
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02503199
17032921
230582475
done50012451

prune535.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample916.0ms

Algorithm
intervals
Results
578.0ms8461×body80valid