Details

Time bar (total: 10.5s)

sample25.0ms

Algorithm
intervals
Results
11.0ms273×body80valid

simplify244.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3569
4899
51209
61459
71579
81689
91729
101789
111809
done1809

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.0b
(/ (* x (- y z)) (- t z))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
43.0ms
(* x (- y z))
45.0ms
(/ (* x (- y z)) (- t z))

series165.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* x (- y z))
108.0ms
(/ (* x (- y z)) (- t z))

simplify1.0s

Counts
83 → 83
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01571123
1398942
21623778
done5001748

prune192.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
42.0ms
(/ (- y z) (- t z))
66.0ms
(* x (/ (- y z) (- t z)))

series189.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (- y z) (- t z))
106.0ms
(* x (/ (- y z) (- t z)))

simplify951.0ms

Counts
112 → 112
Iterations

Useful iterations: done (947.0ms)

IterNodesCost
01421355
13811294
215331208
done50001204

prune359.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
6.0ms
(cbrt (- t z))
6.0ms
(cbrt (- y z))
6.0ms
(cbrt (- y z))
6.0ms
(cbrt (- y z))

series824.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(cbrt (- t z))
202.0ms
(cbrt (- y z))
209.0ms
(cbrt (- y z))
181.0ms
(cbrt (- y z))

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0118784
1243760
2626728
32140680
done5001632

prune401.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (cbrt (- y z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
17×add-sqr-sqrt *-un-lft-identity
10×cbrt-div
9×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 71
Calls
4 calls:
7.0ms
(cbrt (- y z))
7.0ms
(cbrt (- y z))
7.0ms
(cbrt (- y z))
9.0ms
(cbrt (cbrt (- y z)))

series954.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (- y z))
243.0ms
(cbrt (- y z))
236.0ms
(cbrt (- y z))
236.0ms
(cbrt (cbrt (- y z)))

simplify1.4s

Counts
83 → 83
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0114847
1234820
2570786
31859741
done5000694

prune557.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01743
12043
done2043

end0.0ms

sample1.3s

Algorithm
intervals
Results
385.0ms8656×body80valid