Details

Time bar (total: 13.5s)

sample33.0ms

Algorithm
intervals
Results
13.0ms270×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
24011
38411
419811
557411
6181111
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
6.9b
(/ x (* (- y z) (- y t)))

rewrite68.0ms

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))
20.0ms
(/ x (* (- y z) (- y t)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- y t))
70.0ms
(/ x (* (- y z) (- y t)))

simplify1.6s

Counts
91 → 91
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01771460
14361278
225261098
done50001074

prune299.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.3b
(/ 1 (* (- y z) (- y t)))
6.7b
(* x (/ 1 (* (- y z) (- y t))))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
30×add-sqr-sqrt
26×*-un-lft-identity
22×add-cube-cbrt
20×associate-*r*
19×add-cbrt-cube
18×flip3-- prod-diff flip--
16×associate-/r/
14×prod-exp
12×frac-times
11×distribute-rgt-in distribute-lft-in
10×pow1
8×div-exp associate-*l*
7×associate-*r/
6×times-frac associate-*l/ cbrt-unprod
4×cbrt-undiv rec-exp 1-exp
3×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l* add-log-exp
2×sub-neg pow-flip *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 134
Calls
3 calls:
59.0ms
(* (- y z) (- y t))
47.0ms
(/ 1 (* (- y z) (- y t)))
126.0ms
(* x (/ 1 (* (- y z) (- y t))))

series235.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (- y z) (- y t))
98.0ms
(/ 1 (* (- y z) (- y t)))
95.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify2.0s

Counts
143 → 143
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02212128
15761874
234871574
done50011546

prune379.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.1b
(/ (/ 1 (- y z)) (- y t))
6.7b
(* x (/ (/ 1 (- y z)) (- y t)))

rewrite151.0ms

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:
13.0ms
(/ 1 (- y z))
34.0ms
(/ (/ 1 (- y z)) (- y t))
82.0ms
(* x (/ (/ 1 (- y z)) (- y t)))

series247.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ 1 (- y z))
98.0ms
(/ (/ 1 (- y z)) (- y t))
97.0ms
(* x (/ (/ 1 (- y z)) (- y t)))

simplify538.0ms

Counts
342 → 342
Iterations

Useful iterations: done (528.0ms)

IterNodesCost
03615484
110564719
done50004506

prune899.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.4b
(/ 1 (/ (* (- y z) (- y t)) x))
6.7b
(/ (* (- y z) (- y t)) x)

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
31×add-exp-log
19×add-cbrt-cube
18×prod-diff
14×div-exp
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
8×frac-times associate-/l/
7×cbrt-undiv
6×pow1 div-inv
5×associate-*r* associate-*l* prod-exp
4×associate-*r/ associate-*l/ associate-/l*
3×expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg clear-num distribute-lft-out-- difference-of-squares
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 143
Calls
3 calls:
64.0ms
(* (- y z) (- y t))
33.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
53.0ms
(/ (* (- y z) (- y t)) x)

series286.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (- y z) (- y t))
180.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
65.0ms
(/ (* (- y z) (- y t)) x)

simplify2.5s

Counts
152 → 152
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02552436
17032112
246681864
done50001863

prune349.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample986.0ms

Algorithm
intervals
Results
422.0ms8496×body80valid