Details

Time bar (total: 10.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms303×body80valid

simplify45.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2227
3417
4597
5807
6907
done907

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod 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 → 49
Calls
2 calls:
10.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series92.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (- y z))
56.0ms
(/ (* x (- y z)) y)

simplify1.7s

Counts
55 → 55
Iterations

Useful iterations: done (1.7s)

IterNodesCost
090481
1218457
2698399
33260399
done5001398

prune99.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ y (- y z))
9.0ms
(/ x (/ y (- y z)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ y (- y z))
53.0ms
(/ x (/ y (- y z)))

simplify919.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (244.0ms)

IterNodesCost
02182050
14731914
216431842
done50001842

prune298.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

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))

rewrite9.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
6.0ms
(* (cbrt y) (cbrt y))

series759.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt y)
181.0ms
(cbrt y)
182.0ms
(cbrt y)
204.0ms
(* (cbrt y) (cbrt y))

simplify3.2s

Counts
85 → 85
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
061524
1115417
2331397
31156379
43669374
done5000374

prune211.0ms

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
(- 1 (/ z y))
4.1b
(* x (- 1 (/ z y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
12×*-un-lft-identity
8×associate-*r* difference-of-squares
4×pow1 add-exp-log add-cube-cbrt times-frac add-cbrt-cube add-log-exp
3×sub-neg associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
7.0ms
(- 1 (/ z y))
31.0ms
(* x (- 1 (/ z y)))

series46.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- 1 (/ z y))
30.0ms
(* x (- 1 (/ z y)))

simplify2.7s

Counts
52 → 52
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
074499
1175465
2407427
31055427
44204427
done5000427

prune90.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes98.0ms

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

sample428.0ms

Algorithm
intervals
Results
218.0ms9582×body80valid