Details

Time bar (total: 11.1s)

sample18.0ms

Algorithm
intervals
Results
7.0ms267×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
24011
38311
416511
532511
649111
774911
8105011
9133011
10138611
11139011
done139011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
9.8b
(/ x (* (- y z) (- y t)))

rewrite31.0ms

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:
19.0ms
(* (- y z) (- y t))
8.0ms
(/ x (* (- y z) (- y t)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y z) (- y t))
71.0ms
(/ x (* (- y z) (- y t)))

simplify856.0ms

Counts
91 → 91
Iterations

Useful iterations: done (853.0ms)

IterNodesCost
01771460
13921272
215071098
done50001080

prune221.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.8b
(/ 1 (* (- y z) (- y t)))
9.0b
(* x (/ 1 (* (- y z) (- y t))))

rewrite79.0ms

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:
19.0ms
(* (- y z) (- y t))
13.0ms
(/ 1 (* (- y z) (- y t)))
41.0ms
(* x (/ 1 (* (- y z) (- y t))))

series175.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (- y z) (- y t))
74.0ms
(/ 1 (* (- y z) (- y t)))
70.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify1.4s

Counts
143 → 143
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02212128
15151824
217711560
done50001542

prune337.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y t))
0.2b
(/ (/ 1 (- y t)) (- y z))
9.0b
(* x (* 1 (/ (/ 1 (- y t)) (- y z))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
178×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
53×add-exp-log
44×distribute-lft-out-- difference-of-squares
24×add-cbrt-cube associate-/l*
21×prod-exp
20×div-exp
16×associate-/r/
10×associate-/r*
9×pow1 1-exp
8×flip3-- flip-- div-inv
7×cbrt-undiv cbrt-unprod
4×rec-exp
3×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
2×frac-2neg associate-*r/ clear-num
1×pow-flip associate-*r* *-commutative associate-/l/ inv-pow
Counts
3 → 227
Calls
3 calls:
5.0ms
(/ 1 (- y t))
16.0ms
(/ (/ 1 (- y t)) (- y z))
47.0ms
(* x (* 1 (/ (/ 1 (- y t)) (- y z))))

series188.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (- y t))
77.0ms
(/ (/ 1 (- y t)) (- y z))
72.0ms
(* x (* 1 (/ (/ 1 (- y t)) (- y z))))

simplify1.8s

Counts
236 → 236
Iterations

Useful iterations: 2 (630.0ms)

IterNodesCost
03104010
17873529
220083192
done50013192

prune416.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y t))
1.7b
(/ (/ x (- y t)) (- y z))

rewrite38.0ms

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:
5.0ms
(/ x (- y t))
17.0ms
(/ (/ x (- y t)) (- y z))

series103.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ x (- y t))
66.0ms
(/ (/ x (- y t)) (- y z))

simplify1.1s

Counts
195 → 195
Iterations

Useful iterations: 2 (291.0ms)

IterNodesCost
02683384
16493198
218783122
done50013122

prune521.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01315
11713
done1713

end0.0ms

sample444.0ms

Algorithm
intervals
Results
237.0ms8461×body80valid