Details

Time bar (total: 13.4s)

sample21.0ms

Algorithm
intervals
Results
8.0ms317×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3287
4397
5967
62207
76077
820307
done50017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
22.0ms
(/ (- y x) z)
28.0ms
(+ x (/ (- y x) z))

series117.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- y x) z)
66.0ms
(+ x (/ (- y x) z))

simplify643.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
094588
1230544
2915520
done5001520

prune139.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- y x))
0.0b
(+ x (/ 1 (/ z (- y x))))
0.3b
(/ 1 (/ z (- y x)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×div-inv
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 158
Calls
3 calls:
19.0ms
(/ z (- y x))
58.0ms
(+ x (/ 1 (/ z (- y x))))
42.0ms
(/ 1 (/ z (- y x)))

series120.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ z (- y x))
37.0ms
(+ x (/ 1 (/ z (- y x))))
42.0ms
(/ 1 (/ z (- y x)))

simplify2.1s

Counts
167 → 167
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02242310
15641943
231461871
done50001664

prune335.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ 1 z)))
0.3b
(* (- y x) (/ 1 z))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp add-log-exp
3×unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod
1×cbrt-undiv +-commutative rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
7.0ms
(+ x (* (- y x) (/ 1 z)))
48.0ms
(* (- y x) (/ 1 z))

series88.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (* (- y x) (/ 1 z)))
50.0ms
(* (- y x) (/ 1 z))

simplify3.7s

Counts
59 → 59
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0117680
1310603
22074472
done5000460

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
7×cbrt-div
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 → 153
Calls
4 calls:
31.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
2.0ms
(cbrt (/ 1 z))
2.0ms
(cbrt (/ 1 z))
3.0ms
(cbrt (/ 1 z))

series1.0s

Counts
4 → 12
Calls
4 calls:
321.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
277.0ms
(cbrt (/ 1 z))
229.0ms
(cbrt (/ 1 z))
197.0ms
(cbrt (/ 1 z))

simplify1.6s

Counts
165 → 165
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01391990
12511549
211531507
done50001487

prune407.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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

sample980.0ms

Algorithm
intervals
Results
426.0ms10001×body80valid