Details

Time bar (total: 12.5s)

sample28.0ms

Algorithm
intervals
Results
12.0ms305×body80valid

simplify127.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4697
5937
61087
71107
done1107

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.8b
(/ (* x (- y z)) y)

rewrite76.0ms

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:
34.0ms
(* x (- y z))
37.0ms
(/ (* x (- y z)) y)

series132.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (- y z))
76.0ms
(/ (* x (- y z)) y)

simplify3.1s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01401001
1300814
2850666
34488624
done5000624

prune186.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.0b
(/ x (/ y (- y z)))

rewrite39.0ms

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:
12.0ms
(/ y (- y z))
19.0ms
(/ x (/ y (- y z)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ y (- y z))
92.0ms
(/ x (/ y (- y z)))

simplify1.5s

Counts
149 → 149
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02222078
14661939
216351867
done50001858

prune435.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt y)
4.0ms
(cbrt (- y z))
5.0ms
(cbrt (- y z))
7.0ms
(cbrt (- y z))

series968.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(cbrt y)
210.0ms
(cbrt (- y z))
261.0ms
(cbrt (- y z))
270.0ms
(cbrt (- y z))

simplify1.8s

Counts
76 → 76
Iterations

Useful iterations: done (1.8s)

IterNodesCost
089659
1180637
2372607
3791568
42020532
done5000517

prune342.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* y (/ 1 (- y z)))
3.0b
(/ x (* y (/ 1 (- y z))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp associate-*l* log1p-expm1-u div-inv add-log-exp unswap-sqr
2×flip3-- frac-2neg associate-*r/ clear-num un-div-inv flip--
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 118
Calls
3 calls:
16.0ms
(/ 1 (- y z))
32.0ms
(* y (/ 1 (- y z)))
16.0ms
(/ x (* y (/ 1 (- y z))))

series196.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ 1 (- y z))
64.0ms
(* y (/ 1 (- y z)))
71.0ms
(/ x (* y (/ 1 (- y z))))

simplify2.4s

Counts
127 → 127
Iterations

Useful iterations: 3 (905.0ms)

IterNodesCost
01531263
1338994
2803866
32802864
done5001864

prune195.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
done1225

end0.0ms

sample652.0ms

Algorithm
intervals
Results
265.0ms9542×body80valid