Details

Time bar (total: 19.1s)

sample27.0ms

Algorithm
intervals
Results
13.0ms270×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3699
41809
53499
65769
79139
811229
914079
1014659
1114699
done14699

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.1b
(/ x (* (- y z) (- t z)))

rewrite100.0ms

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:
60.0ms
(* (- y z) (- t z))
34.0ms
(/ x (* (- y z) (- t z)))

series273.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (- y z) (- t z))
208.0ms
(/ x (* (- y z) (- t z)))

simplify1.2s

Counts
91 → 91
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01761460
13841275
213771097
done50011069

prune315.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.3b
(/ (/ x (- y z)) (- t z))

rewrite75.0ms

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:
23.0ms
(/ x (- y z))
35.0ms
(/ (/ x (- y z)) (- t z))

series243.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ x (- y z))
189.0ms
(/ (/ x (- y z)) (- t z))

simplify1.4s

Counts
195 → 195
Iterations

Useful iterations: 2 (358.0ms)

IterNodesCost
02683384
16423198
216673122
done50003122

prune618.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.0b
(/ x (- y z))
1.3b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite145.0ms

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/ un-div-inv *-commutative inv-pow
Counts
3 → 157
Calls
3 calls:
25.0ms
(/ 1 (- t z))
19.0ms
(/ x (- y z))
93.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series336.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ 1 (- t z))
48.0ms
(/ x (- y z))
232.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify2.6s

Counts
166 → 166
Iterations

Useful iterations: 2 (281.0ms)

IterNodesCost
02041932
15131682
212551494
334061494
done50001494

prune497.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.3b
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
1.2b
(/ (- t z) (/ x (- y z)))

rewrite535.0ms

Algorithm
rewrite-expression-head
Rules
5159×times-frac
2900×add-sqr-sqrt *-un-lft-identity
1804×add-cube-cbrt
548×distribute-lft-out-- difference-of-squares
204×div-inv
170×associate-/r/
136×associate-/r*
78×flip3-- flip--
70×add-exp-log
58×div-exp
31×add-cbrt-cube
21×associate-/l*
19×cbrt-undiv
15×1-exp
6×rec-exp
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
3 → 1784
Calls
3 calls:
24.0ms
(/ x (- y z))
115.0ms
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
43.0ms
(/ (- t z) (/ x (- y z)))

series450.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ x (- y z))
302.0ms
(/ (/ 1 1) (/ (- t z) (/ x (- y z))))
98.0ms
(/ (- t z) (/ x (- y z)))

simplify1.2s

Counts
1793 → 1793
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0206555893
done500046467

prune3.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample790.0ms

Algorithm
intervals
Results
477.0ms8467×body80valid