Details

Time bar (total: 14.5s)

sample31.0ms

Algorithm
intervals
Results
12.0ms328×body80valid

simplify161.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
fma-def associate-/r*
pow1 expm1-log1p-u div-sub log1p-expm1-u 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 → 58
Calls
2 calls:
42.0ms
(/ (- y x) z)
27.0ms
(+ x (/ (- y x) z))

series103.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- y x) z)
57.0ms
(+ x (/ (- y x) z))

simplify1.6s

Counts
64 → 64
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
098616
1231570
2611546
32182546
done5002546

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
52×prod-diff
50×add-sqr-sqrt
45×add-cube-cbrt
37×times-frac
16×distribute-lft-out
add-log-exp
fma-neg div-inv
fma-def
pow1 add-exp-log expm1-log1p-u flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out-- difference-of-squares
+-commutative sub-neg flip3-- associate--l+ flip--
Counts
2 → 95
Calls
2 calls:
11.0ms
(+ x (/ y z))
138.0ms
(- (+ x (/ y z)) (/ x z))

series57.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ x (/ y z))
27.0ms
(- (+ x (/ y z)) (/ x z))

simplify4.6s

Counts
101 → 101
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
01812925
14462611
212561889
349491436
done50001436

prune188.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ 1 z)))
0.2b
(* (- y x) (/ 1 z))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*r*
11×add-exp-log add-cube-cbrt times-frac
add-cbrt-cube
associate-*l*
pow1 prod-exp add-log-exp
fma-def unswap-sqr
expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u
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 → 60
Calls
2 calls:
12.0ms
(+ x (* (- y x) (/ 1 z)))
34.0ms
(* (- y x) (/ 1 z))

series55.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ x (* (- y x) (/ 1 z)))
29.0ms
(* (- y x) (/ 1 z))

simplify2.9s

Counts
66 → 66
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
0121716
1299554
2872486
33357486
done5000486

prune202.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y x) z)
0.3b
(* (/ (- y x) z) (/ (- y x) z))
5.0b
(- (* x x) (* (/ (- y x) z) (/ (- y x) z)))
29.5b
(/ (- (* x x) (* (/ (- y x) z) (/ (- y x) z))) (- x (/ (- y x) z)))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
135×add-sqr-sqrt
126×*-un-lft-identity
120×times-frac
66×add-cube-cbrt
34×difference-of-squares
27×distribute-lft-out--
25×swap-sqr
20×add-exp-log add-cbrt-cube
19×associate-*r* associate-*l*
11×pow1
associate-/r* associate-/l*
cbrt-undiv div-exp div-inv add-log-exp
expm1-log1p-u flip3-- prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ unswap-sqr
frac-2neg div-sub clear-num associate-/r/
pow2 frac-times sub-neg pow-plus fma-neg diff-log associate-*r/ prod-diff pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 203
Calls
4 calls:
33.0ms
(/ (- y x) z)
70.0ms
(* (/ (- y x) z) (/ (- y x) z))
18.0ms
(- (* x x) (* (/ (- y x) z) (/ (- y x) z)))
117.0ms
(/ (- (* x x) (* (/ (- y x) z) (/ (- y x) z))) (- x (/ (- y x) z)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ (- y x) z)
41.0ms
(* (/ (- y x) z) (/ (- y x) z))
119.0ms
(- (* x x) (* (/ (- y x) z) (/ (- y x) z)))
206.0ms
(/ (- (* x x) (* (/ (- y x) z) (/ (- y x) z))) (- x (/ (- y x) z)))

simplify2.0s

Counts
215 → 215
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02734553
17674171
231243620
done50013313

prune733.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes94.0ms

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

sample703.0ms

Algorithm
intervals
Results
276.0ms10060×body80valid