Details

Time bar (total: 9.3s)

sample29.0ms

Algorithm
intervals
Results
12.0ms271×body80valid

simplify2.5s

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: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.6b
(/ 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:
43.0ms
(* (- y z) (- y t))
17.0ms
(/ x (* (- y z) (- y t)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- y z) (- y t))
68.0ms
(/ x (* (- y z) (- y t)))

simplify1.2s

Counts
91 → 91
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01771460
14361278
225261098
done50001074

prune251.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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:
11.0ms
(/ x (- y z))
30.0ms
(/ (/ x (- y z)) (- y t))

series100.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (- y z))
64.0ms
(/ (/ x (- y z)) (- y t))

simplify1.4s

Counts
195 → 195
Iterations

Useful iterations: 2 (285.0ms)

IterNodesCost
02683384
16643198
225553126
done50003126

prune601.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
1.5b
(/ (sqrt x) (/ (* (- y z) (- y t)) (sqrt x)))
2.2b
(/ (* (- y z) (- y t)) (sqrt x))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
70×add-sqr-sqrt
68×*-un-lft-identity
64×add-cube-cbrt
60×sqrt-prod
19×add-exp-log add-cbrt-cube
18×prod-diff
16×associate-/r*
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×div-inv
8×frac-times associate-/l/
7×cbrt-undiv div-exp associate-/l*
5×pow1 associate-*r* associate-*l*
4×associate-*r/ associate-*l/
3×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg clear-num distribute-lft-out-- difference-of-squares
1×pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
3 → 186
Calls
3 calls:
39.0ms
(* (- y z) (- y t))
29.0ms
(/ (sqrt x) (/ (* (- y z) (- y t)) (sqrt x)))
54.0ms
(/ (* (- y z) (- y t)) (sqrt x))

series233.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (- y z) (- y t))
96.0ms
(/ (sqrt x) (/ (* (- y z) (- y t)) (sqrt x)))
91.0ms
(/ (* (- y z) (- y t)) (sqrt x))

simplify537.0ms

Counts
195 → 195
Iterations

Useful iterations: done (529.0ms)

IterNodesCost
03023654
18453292
done50003016

prune893.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample1.1s

Algorithm
intervals
Results
519.0ms8444×body80valid