Details

Time bar (total: 9.0s)

sample17.0ms

Algorithm
intervals
Results
6.0ms322×body80valid

simplify121.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3287
4397
5447
6497
7587
8757
9917
101027
111047
121087
131097
done1097

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
associate-/r*
pow1 div-sub associate-/l/
cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 51
Calls
2 calls:
18.0ms
(/ (- y x) z)
21.0ms
(+ x (/ (- y x) z))

series54.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (- y x) z)
25.0ms
(+ x (/ (- y x) z))

simplify912.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
094588
1222544
2582520
32061520
done5000520

prune97.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
+-commutative sub-neg flip3-- times-frac associate--l+ flip--
Counts
2 → 32
Calls
2 calls:
10.0ms
(+ x (/ y z))
89.0ms
(- (+ x (/ y z)) (/ x z))

series42.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ x (/ y z))
25.0ms
(- (+ x (/ y z)) (/ x z))

simplify804.0ms

Counts
38 → 38
Iterations

Useful iterations: 3 (222.0ms)

IterNodesCost
065506
1164476
2495458
31677450
done5000450

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series758.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (cbrt z) (cbrt z))
185.0ms
(cbrt z)
181.0ms
(cbrt z)
183.0ms
(cbrt z)

simplify3.5s

Counts
85 → 85
Iterations

Useful iterations: done (3.5s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune181.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ x (/ y z)))
0.1b
(* (- x (/ y z)) z)
0.1b
(* (- x (/ y z)) (- (* z (+ x (/ y z))) x))
25.1b
(/ (* (- x (/ y z)) (- (* z (+ x (/ y z))) x)) (* (- x (/ y z)) z))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×add-exp-log add-cbrt-cube
16×*-un-lft-identity
15×associate-*l*
14×flip3-- flip--
10×pow1 add-cube-cbrt associate-*r*
frac-times associate-*l/ associate-/l/
distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
associate-*r/
cbrt-undiv div-exp associate--l+ add-log-exp difference-of-squares
times-frac pow-prod-down *-commutative unswap-sqr
sub-neg associate-/r/ distribute-lft-out--
frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv distribute-lft-out associate-/l*
Counts
4 → 114
Calls
4 calls:
38.0ms
(* z (+ x (/ y z)))
40.0ms
(* (- x (/ y z)) z)
99.0ms
(* (- x (/ y z)) (- (* z (+ x (/ y z))) x))
61.0ms
(/ (* (- x (/ y z)) (- (* z (+ x (/ y z))) x)) (* (- x (/ y z)) z))

series181.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* z (+ x (/ y z)))
32.0ms
(* (- x (/ y z)) z)
74.0ms
(* (- x (/ y z)) (- (* z (+ x (/ y z))) x))
48.0ms
(/ (* (- x (/ y z)) (- (* z (+ x (/ y z))) x)) (* (- x (/ y z)) z))

simplify1.1s

Counts
126 → 126
Iterations

Useful iterations: 2 (371.0ms)

IterNodesCost
01902519
15572286
227321856
done50001856

prune238.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample449.0ms

Algorithm
intervals
Results
183.0ms10169×body80valid