Details

Time bar (total: 15.9s)

sample41.0ms

Algorithm
intervals
Results
16.0ms272×body80valid

simplify4.7s

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: 6.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.2b
(/ x (* (- y z) (- t z)))

rewrite76.0ms

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:
46.0ms
(* (- y z) (- t z))
24.0ms
(/ x (* (- y z) (- t z)))

series254.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- y z) (- t z))
215.0ms
(/ x (* (- y z) (- t z)))

simplify1.2s

Counts
91 → 91
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01761460
13841275
213771097
done50011069

prune203.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
2.2b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite109.0ms

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:
19.0ms
(/ x (- t z))
13.0ms
(/ 1 (- y z))
65.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series410.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ x (- t z))
41.0ms
(/ 1 (- y z))
329.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify3.1s

Counts
165 → 165
Iterations

Useful iterations: 2 (334.0ms)

IterNodesCost
02041932
15061689
213661513
340601513
done50001513

prune427.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
2.2b
(/ (/ x (- t z)) (- y z))

rewrite74.0ms

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:
19.0ms
(/ x (- t z))
43.0ms
(/ (/ x (- t z)) (- y z))

series226.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ x (- t z))
165.0ms
(/ (/ x (- t z)) (- y z))

simplify1.4s

Counts
195 → 195
Iterations

Useful iterations: 2 (385.0ms)

IterNodesCost
02683384
16423198
216673122
done50003122

prune625.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.6b
(/ (/ x (- y z)) (- t z))

rewrite63.0ms

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:
14.0ms
(/ x (- y z))
30.0ms
(/ (/ x (- y z)) (- t z))

series240.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ x (- y z))
193.0ms
(/ (/ x (- y z)) (- t z))

simplify1.2s

Counts
195 → 195
Iterations

Useful iterations: 2 (290.0ms)

IterNodesCost
02683384
16423198
216673122
done50003122

prune524.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes205.0ms

Accuracy

34.5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01532
11832
done1832

end0.0ms

sample878.0ms

Algorithm
intervals
Results
373.0ms8463×body80valid