Details

Time bar (total: 10.8s)

sample30.0ms

Algorithm
intervals
Results
12.0ms331×body80valid

simplify212.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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:
34.0ms
(+ x (/ (- y x) z))
27.0ms
(/ (- y x) z)

series110.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ x (/ (- y x) z))
63.0ms
(/ (- y x) z)

simplify1.5s

Counts
57 → 57
Iterations

Useful iterations: 2 (167.0ms)

IterNodesCost
094588
1222544
2584520
32065520
done5000520

prune162.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt
10×times-frac
add-log-exp
distribute-lft-out--
add-cube-cbrt difference-of-squares
pow1 add-exp-log sub-neg associate-+r+ diff-log sum-log add-cbrt-cube div-inv distribute-lft-out
+-commutative associate-+r- flip3-- distribute-rgt-out-- flip3-+ frac-sub flip-- flip-+ sub-div
Counts
2 → 40
Calls
2 calls:
79.0ms
(+ x (- (/ y z) (/ x z)))
42.0ms
(- (/ y z) (/ x z))

series86.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ x (- (/ y z) (/ x z)))
41.0ms
(- (/ y z) (/ x z))

simplify1.2s

Counts
46 → 46
Iterations

Useful iterations: done (1.2s)

IterNodesCost
077555
1180525
2450505
31560505
done5000503

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ z (- y x))))
0.0b
(/ z (- y x))
0.4b
(/ 1 (/ z (- y x)))

rewrite132.0ms

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
div-exp
div-inv
associate-/l*
flip3-- flip-- add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num distribute-lft-out
+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 158
Calls
3 calls:
57.0ms
(+ x (/ 1 (/ z (- y x))))
22.0ms
(/ z (- y x))
42.0ms
(/ 1 (/ z (- y x)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (/ 1 (/ z (- y x))))
33.0ms
(/ z (- y x))
59.0ms
(/ 1 (/ z (- y x)))

simplify3.0s

Counts
167 → 167
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
02242310
14811943
210351716
331431664
done50021664

prune361.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (cbrt (pow (- (/ y z) (/ x z)) 3)))
0.0b
(- (/ y z) (/ x z))
0.3b
(pow (- (/ y z) (/ x z)) 3)
33.1b
(cbrt (pow (- (/ y z) (/ x z)) 3))

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
62×*-un-lft-identity
50×times-frac
30×cbrt-prod
24×unpow-prod-down cube-prod
20×add-cube-cbrt distribute-lft-out-- difference-of-squares
10×div-inv
cube-div add-log-exp
pow1 add-exp-log distribute-rgt-out-- add-cbrt-cube
cbrt-div
pow-unpow flip3-- frac-sub flip-- sub-div
cube-mult unpow3 sqr-pow
+-commutative pow-to-exp sub-neg pow-pow flip3-+ pow1/3 diff-log pow-exp sum-log rem-cbrt-cube flip-+ distribute-lft-out rem-cube-cbrt
Counts
4 → 123
Calls
4 calls:
216.0ms
(+ x (cbrt (pow (- (/ y z) (/ x z)) 3)))
26.0ms
(- (/ y z) (/ x z))
44.0ms
(pow (- (/ y z) (/ x z)) 3)
78.0ms
(cbrt (pow (- (/ y z) (/ x z)) 3))

series213.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ x (cbrt (pow (- (/ y z) (/ x z)) 3)))
34.0ms
(- (/ y z) (/ x z))
104.0ms
(pow (- (/ y z) (/ x z)) 3)
29.0ms
(cbrt (pow (- (/ y z) (/ x z)) 3))

simplify1.5s

Counts
135 → 135
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01792294
14611901
215071789
done50001779

prune363.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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
079
189
done89

end0.0ms

sample986.0ms

Algorithm
intervals
Results
461.0ms10155×body80valid