Details

Time bar (total: 11.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms271×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2309
3679
41469
52869
64629
77379
810479
913859
1014479
1114519
done14519

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.1b
(/ x (* (- y z) (- t z)))

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

series177.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (- y z) (- t z))
142.0ms
(/ x (* (- y z) (- t z)))

simplify661.0ms

Counts
91 → 91
Iterations

Useful iterations: done (658.0ms)

IterNodesCost
01761460
13811275
214821097
done50011079

prune213.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.8b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite52.0ms

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:
6.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
34.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series313.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 1 (- y z))
31.0ms
(/ x (- t z))
240.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify4.0s

Counts
165 → 165
Iterations

Useful iterations: 2 (219.0ms)

IterNodesCost
02041932
15291689
213501513
348111513
done50001513

prune364.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.8b
(/ (/ x (- t z)) (- y z))

rewrite37.0ms

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

series175.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (- t z))
138.0ms
(/ (/ x (- t z)) (- y z))

simplify824.0ms

Counts
195 → 195
Iterations

Useful iterations: 2 (275.0ms)

IterNodesCost
02683384
16453198
218643122
done50023122

prune488.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.3b
(/ (/ x (- y z)) (- t 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 z))
17.0ms
(/ (/ x (- y z)) (- t z))

series168.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (- y z))
136.0ms
(/ (/ x (- y z)) (- t z))

simplify812.0ms

Counts
195 → 195
Iterations

Useful iterations: 2 (271.0ms)

IterNodesCost
02683384
16453198
218643122
done50023122

prune507.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

35.6% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01849
12539
done2539

end0.0ms

sample428.0ms

Algorithm
intervals
Results
224.0ms8437×body80valid