Details

Time bar (total: 13.2s)

sample39.0ms

Algorithm
intervals
Results
16.0ms322×body80valid

simplify191.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 div-sub associate-/l/
1×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:
27.0ms
(+ x (/ (- y x) z))
34.0ms
(/ (- y x) z)

series81.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (/ (- y x) z))
48.0ms
(/ (- y x) z)

simplify1.4s

Counts
57 → 57
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
094588
1222544
2584520
32065520
done5000520

prune173.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-log-exp
2×diff-log frac-sub distribute-lft-out-- difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- flip3-+ times-frac associate--l+ sum-log add-cbrt-cube flip-- flip-+ distribute-lft-out
Counts
1 → 20
Calls
1 calls:
109.0ms
(- (+ x (/ y z)) (/ x z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- (+ x (/ y z)) (/ x z))

simplify1.1s

Counts
23 → 23
Iterations

Useful iterations: 3 (351.0ms)

IterNodesCost
061377
1155362
2458344
31603336
done5001336

prune66.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- y x)) (cbrt (- y x)))
0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
65.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
8.0ms
(cbrt (- y x))
8.0ms
(cbrt (- y x))
9.0ms
(cbrt (- y x))

series863.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
220.0ms
(cbrt (- y x))
221.0ms
(cbrt (- y x))
190.0ms
(cbrt (- y x))

simplify2.9s

Counts
113 → 113
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01311384
12621281
26171223
313401128
435251080
done50001032

prune456.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
4.0b
(cbrt (/ (- y x) z))
4.0b
(cbrt (/ (- y x) z))
4.0b
(cbrt (/ (- y x) z))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
157×cbrt-prod
141×add-sqr-sqrt
135×*-un-lft-identity
123×times-frac
75×add-cube-cbrt
28×swap-sqr
27×distribute-lft-out--
22×associate-*r* associate-*l*
21×difference-of-squares
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 186
Calls
4 calls:
91.0ms
(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
7.0ms
(cbrt (/ (- y x) z))
11.0ms
(cbrt (/ (- y x) z))
12.0ms
(cbrt (/ (- y x) z))

series881.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(* (cbrt (/ (- y x) z)) (cbrt (/ (- y x) z)))
211.0ms
(cbrt (/ (- y x) z))
220.0ms
(cbrt (/ (- y x) z))
199.0ms
(cbrt (/ (- y x) z))

simplify2.2s

Counts
198 → 198
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02323470
14313269
210933168
324463012
done50012925

prune709.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes472.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample983.0ms

Algorithm
intervals
Results
409.0ms10010×body80valid