Details

Time bar (total: 13.4s)

sample25.0ms

Algorithm
intervals
Results
10.0ms266×body80valid

simplify4.3s

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: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
5.5b
(/ x (* (- y z) (- y t)))

rewrite64.0ms

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:
44.0ms
(* (- y z) (- y t))
17.0ms
(/ x (* (- y z) (- y t)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (- y t))
71.0ms
(/ x (* (- y z) (- y t)))

simplify1.1s

Counts
91 → 91
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01771460
13901272
213911098
done50001074

prune239.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
5.5b
(/ x (* 1 (* (- y z) (- y t))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-exp-log add-cube-cbrt prod-diff
13×add-cbrt-cube
12×flip3-- associate-*r/ flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/r/
7×prod-exp
5×div-exp associate-*r* associate-*l*
4×pow1 associate-*l/ cbrt-unprod
3×cbrt-undiv times-frac associate-/l*
2×expm1-log1p-u sub-neg 1-exp 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 → 89
Calls
2 calls:
48.0ms
(* (- y z) (- y t))
73.0ms
(/ x (* 1 (* (- y z) (- y t))))

series145.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (- y z) (- y t))
102.0ms
(/ x (* 1 (* (- y z) (- y t))))

simplify1.0s

Counts
95 → 95
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02021609
14471329
215011135
done50021111

prune288.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
0.9b
(/ (/ x (- y z)) (- y t))

rewrite83.0ms

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:
21.0ms
(/ x (- y z))
31.0ms
(/ (/ x (- y z)) (- y t))

series153.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ x (- y z))
96.0ms
(/ (/ x (- y z)) (- y t))

simplify1.1s

Counts
195 → 195
Iterations

Useful iterations: 2 (269.0ms)

IterNodesCost
02683384
16463198
216733122
done50003122

prune537.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(/ (/ 1 (- y z)) (- y t))
5.7b
(* x (/ (/ 1 (- y z)) (- y t)))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
395×times-frac
329×add-sqr-sqrt
318×*-un-lft-identity
157×add-cube-cbrt
111×associate-*r*
80×distribute-lft-out-- difference-of-squares
31×add-exp-log
28×associate-/r/
24×associate-/l*
19×add-cbrt-cube
14×flip3-- div-exp flip-- div-inv
10×associate-/r*
7×cbrt-undiv
6×pow1
5×prod-exp
4×unswap-sqr
3×expm1-log1p-u rec-exp 1-exp associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 333
Calls
3 calls:
22.0ms
(/ 1 (- y z))
30.0ms
(/ (/ 1 (- y z)) (- y t))
105.0ms
(* x (/ (/ 1 (- y z)) (- y t)))

series273.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(/ 1 (- y z))
106.0ms
(/ (/ 1 (- y z)) (- y t))
95.0ms
(* x (/ (/ 1 (- y z)) (- y t)))

simplify1.5s

Counts
342 → 342
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03615484
19054641
219314334
done50004326

prune900.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01213
11611
done1611

end0.0ms

sample1.1s

Algorithm
intervals
Results
511.0ms8404×body80valid