Details

Time bar (total: 12.8s)

sample36.0ms

Algorithm
intervals
Results
14.0ms313×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4737
51027
62407
76517
819267
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.2b
(/ (* x (- y z)) y)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
44.0ms
(* x (- y z))
41.0ms
(/ (* x (- y z)) y)

series158.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* x (- y z))
96.0ms
(/ (* x (- y z)) y)

simplify942.0ms

Counts
77 → 77
Iterations

Useful iterations: done (940.0ms)

IterNodesCost
01401001
1351820
21627674
done5002646

prune170.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
20.0ms
(/ y (- y z))
27.0ms
(/ x (/ y (- y z)))

series179.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ y (- y z))
100.0ms
(/ x (/ y (- y z)))

simplify1.2s

Counts
149 → 149
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02222078
15651961
227751871
done50011867

prune520.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
31×cbrt-prod
29×add-sqr-sqrt
21×*-un-lft-identity
15×add-cube-cbrt
11×pow1
9×pow1/3
6×add-exp-log cbrt-div swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
8.0ms
(cbrt (- y z))
5.0ms
(cbrt (- y z))
5.0ms
(cbrt (- y z))
14.0ms
(* (cbrt y) (cbrt y))

series1.1s

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt (- y z))
211.0ms
(cbrt (- y z))
249.0ms
(cbrt (- y z))
367.0ms
(* (cbrt y) (cbrt y))

simplify3.5s

Counts
105 → 105
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0117929
1255860
2795786
34025741
done5000718

prune534.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y z))
12.3b
(/ (/ x y) (/ 1 (- y z)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-- flip--
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 376
Calls
2 calls:
21.0ms
(/ 1 (- y z))
55.0ms
(/ (/ x y) (/ 1 (- y z)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 1 (- y z))
77.0ms
(/ (/ x y) (/ 1 (- y z)))

simplify1.1s

Counts
382 → 382
Iterations

Useful iterations: done (1.1s)

IterNodesCost
05708063
118806830
done50005998

prune641.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
done1225

end0.0ms

sample904.0ms

Algorithm
intervals
Results
370.0ms9600×body80valid