Details

Time bar (total: 11.5s)

sample16.0ms

Algorithm
intervals
Results
7.0ms303×body80valid

simplify67.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2227
3437
4677
5917
61067
71087
done1087

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.2b
(/ (* x (- y z)) y)

rewrite26.0ms

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:
12.0ms
(* x (- y z))
11.0ms
(/ (* x (- y z)) y)

series98.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (- y z))
58.0ms
(/ (* x (- y z)) y)

simplify2.6s

Counts
77 → 77
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01401001
1295814
2862666
34187624
done5001623

prune137.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.5b
(/ x (/ y (- y z)))

rewrite25.0ms

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:
6.0ms
(/ y (- y z))
11.0ms
(/ x (/ y (- y z)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ y (- y z))
53.0ms
(/ x (/ y (- y z)))

simplify1.0s

Counts
149 → 149
Iterations

Useful iterations: 2 (269.0ms)

IterNodesCost
02222078
14801939
216571867
done50011867

prune363.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(* (cbrt y) (cbrt y))

series804.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt y)
191.0ms
(cbrt y)
196.0ms
(cbrt y)
221.0ms
(* (cbrt y) (cbrt y))

simplify3.2s

Counts
93 → 93
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
065554
1119443
2331423
31192405
43749400
done5000400

prune297.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
4.1b
(* x (/ (- y z) y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
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×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
9.0ms
(/ (- y z) y)
16.0ms
(* x (/ (- y z) y))

series93.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (- y z) y)
58.0ms
(* x (/ (- y z) y))

simplify1.9s

Counts
86 → 86
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0115841
1268796
2742731
32462731
done5000730

prune199.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
11325
done1325

end0.0ms

sample403.0ms

Algorithm
intervals
Results
207.0ms9582×body80valid