Details

Time bar (total: 16.4s)

sample29.0ms

Algorithm
intervals
Results
11.0ms265×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
5.9b
(/ x (* (- y z) (- t z)))

rewrite120.0ms

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:
79.0ms
(* (- y z) (- t z))
37.0ms
(/ x (* (- y z) (- t z)))

series253.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- y z) (- t z))
216.0ms
(/ x (* (- y z) (- t z)))

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0124860
1299844
21207756
done5000752

prune260.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite113.0ms

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:
23.0ms
(/ x (- y z))
62.0ms
(/ (/ x (- y z)) (- t z))

series230.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ x (- y z))
174.0ms
(/ (/ x (- y z)) (- t z))

simplify3.0s

Counts
191 → 191
Iterations

Useful iterations: 2 (352.0ms)

IterNodesCost
02643352
16343172
216443096
349603096
done50003096

prune686.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.6b
(/ 1 (/ (- t z) (/ x (- y z))))
1.2b
(/ (- t z) (/ x (- y z)))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
1260×times-frac
844×add-sqr-sqrt *-un-lft-identity
468×add-cube-cbrt
188×distribute-lft-out-- difference-of-squares
136×associate-/r*
60×associate-/r/
33×div-inv
31×add-exp-log
28×flip3-- flip--
19×div-exp add-cbrt-cube
11×associate-/l*
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
2×associate-/l/
1×pow-flip div-sub inv-pow
Counts
3 → 654
Calls
3 calls:
23.0ms
(/ x (- y z))
73.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
58.0ms
(/ (- t z) (/ x (- y z)))

series479.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ x (- y z))
348.0ms
(/ 1 (/ (- t z) (/ x (- y z))))
76.0ms
(/ (- t z) (/ x (- y z)))

simplify2.9s

Counts
663 → 663
Iterations

Useful iterations: 2 (1.7s)

IterNodesCost
074715129
1180712998
2470412150
done500112150

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(/ (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y z))) (- t z))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
16×add-cbrt-cube
13×add-sqr-sqrt *-un-lft-identity
9×cbrt-prod add-cube-cbrt
7×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
5×times-frac associate-/r*
4×pow1 add-log-exp
3×pow1/3
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×flip3-- frac-2neg associate-*r/ clear-num flip-- div-inv associate-/l/ associate-/l*
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
72.0ms
(/ (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y z))) (- t z))

series1.3s

Counts
4 → 12
Calls
4 calls:
479.0ms
(cbrt x)
296.0ms
(cbrt x)
313.0ms
(cbrt x)
254.0ms
(/ (* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y z))) (- t z))

simplify1.2s

Counts
79 → 79
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0111958
1295925
21379651
done5000549

prune207.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes135.0ms

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

sample800.0ms

Algorithm
intervals
Results
322.0ms8414×body80valid