Details

Time bar (total: 13.7s)

sample34.0ms

Algorithm
intervals
Results
13.0ms324×body80valid

simplify1.5s

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×fma-def associate-/r*
2×pow1 expm1-log1p-u div-sub log1p-expm1-u 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 → 58
Calls
2 calls:
24.0ms
(+ x (/ (- y x) z))
21.0ms
(/ (- y x) z)

series100.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ x (/ (- y x) z))
55.0ms
(/ (- y x) z)

simplify635.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
098616
1239570
2954546
done5000546

prune344.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
487×times-frac
389×*-un-lft-identity
388×add-sqr-sqrt
376×add-cube-cbrt
338×prod-diff
171×associate-+r+
55×div-inv
13×fma-neg
9×add-log-exp
5×distribute-lft-out--
4×difference-of-squares
3×fma-def
2×pow1 add-exp-log expm1-log1p-u sub-neg diff-log sum-log add-cbrt-cube log1p-expm1-u distribute-lft-out
1×+-commutative associate-+r- flip3-- distribute-rgt-out-- flip3-+ frac-sub flip-- flip-+ sub-div
Counts
2 → 398
Calls
2 calls:
164.0ms
(+ x (- (/ y z) (/ x z)))
39.0ms
(- (/ y z) (/ x z))

series77.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ x (- (/ y z) (/ x z)))
28.0ms
(- (/ y z) (/ x z))

simplify2.4s

Counts
404 → 404
Iterations

Useful iterations: done (2.4s)

IterNodesCost
050312252
1109710855
237048547
done50008545

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

9.6b
(cbrt (/ x z))
9.6b
(cbrt (/ x z))
9.6b
(cbrt (/ x z))
49.8b
(fma (- (cbrt (/ x z))) (* (cbrt (/ x z)) (cbrt (/ x z))) (* (cbrt (/ x z)) (* (cbrt (/ x z)) (cbrt (/ x z)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 div-inv
1×fma-udef
Counts
4 → 82
Calls
4 calls:
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))
0.0ms
(fma (- (cbrt (/ x z))) (* (cbrt (/ x z)) (cbrt (/ x z))) (* (cbrt (/ x z)) (* (cbrt (/ x z)) (cbrt (/ x z)))))

series471.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (/ x z))
81.0ms
(cbrt (/ x z))
81.0ms
(cbrt (/ x z))
216.0ms
(fma (- (cbrt (/ x z))) (* (cbrt (/ x z)) (cbrt (/ x z))) (* (cbrt (/ x z)) (* (cbrt (/ x z)) (cbrt (/ x z)))))

simplify1.1s

Counts
94 → 94
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01131207
1195952
2446834
31667789
done5001662

prune589.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* z (- y x)) (* z z)))
0.0b
(* z (- y x))
27.5b
(/ (* z (- y x)) (* z z))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
18×add-cube-cbrt prod-diff
17×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
5×pow1 associate-*r* prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv associate-*r/ div-exp
3×expm1-log1p-u fma-def associate-*l* log1p-expm1-u
2×sub-neg flip3-- flip-- associate-/l/
1×+-commutative frac-2neg flip3-+ times-frac pow-prod-down clear-num associate-/r* sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
19.0ms
(+ x (/ (* z (- y x)) (* z z)))
29.0ms
(* z (- y x))
27.0ms
(/ (* z (- y x)) (* z z))

series127.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ x (/ (* z (- y x)) (* z z)))
48.0ms
(* z (- y x))
54.0ms
(/ (* z (- y x)) (* z z))

simplify1.4s

Counts
97 → 97
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01631373
14601097
22624821
done5002787

prune403.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes197.0ms

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

sample1.4s

Algorithm
intervals
Results
835.0ms10121×body80valid