Details

Time bar (total: 14.8s)

sample22.0ms

Algorithm
intervals
Results
8.0ms265×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3659
41569
52579
64009
76029
87339
98279
108349
done8349

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod 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 → 63
Calls
2 calls:
46.0ms
(* (- y z) (- t z))
18.0ms
(/ x (* (- y z) (- t z)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (- y z) (- t z))
138.0ms
(/ x (* (- y z) (- t z)))

simplify945.0ms

Counts
69 → 69
Iterations

Useful iterations: done (943.0ms)

IterNodesCost
0124860
1299844
21207756
done5000752

prune214.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

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 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
25.0ms
(/ x (- y z))
42.0ms
(/ (/ x (- y z)) (- t z))

series206.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (- y z))
171.0ms
(/ (/ x (- y z)) (- t z))

simplify2.5s

Counts
191 → 191
Iterations

Useful iterations: 2 (282.0ms)

IterNodesCost
02643352
16343172
216443096
349603096
done50003096

prune643.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.0b
(/ 1 (- t z))
1.9b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite129.0ms

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×rec-exp 1-exp 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 → 151
Calls
3 calls:
16.0ms
(/ x (- y z))
13.0ms
(/ 1 (- t z))
94.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series242.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ x (- y z))
40.0ms
(/ 1 (- t z))
165.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify2.2s

Counts
160 → 160
Iterations

Useful iterations: 2 (273.0ms)

IterNodesCost
01981884
15031639
212351451
333221451
done50001451

prune462.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.9b
(/ (/ x (- t z)) (- y z))

rewrite96.0ms

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 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
12.0ms
(/ x (- t z))
53.0ms
(/ (/ x (- t z)) (- y z))

series197.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (- t z))
163.0ms
(/ (/ x (- t z)) (- y z))

simplify3.3s

Counts
191 → 191
Iterations

Useful iterations: 2 (310.0ms)

IterNodesCost
02643352
16343172
216443096
349603096
done50003096

prune570.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes264.0ms

Accuracy

60.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02049
12449
done2449

end0.0ms

sample992.0ms

Algorithm
intervals
Results
420.0ms8434×body80valid