Details

Time bar (total: 2.7s)

sample17.0ms

Algorithm
intervals
Results
6.0ms302×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.2b
(/ (* x (- y z)) y)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
20.0ms
(* x (- y z))
16.0ms
(/ (* x (- y z)) y)

series79.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* x (- y z))
47.0ms
(/ (* x (- y z)) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0219218
11044189
25001189

prune85.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.4b
(/ x (/ y (- y z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
11.0ms
(/ y (- y z))
16.0ms
(/ x (/ y (- y z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ y (- y z))
46.0ms
(/ x (/ y (- y z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04721043
122201007
250011004

prune271.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.3b
(/ 1 (/ (/ y (- y z)) x))
2.4b
(/ (/ y (- y z)) x)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 435
Calls
3 calls:
11.0ms
(/ y (- y z))
34.0ms
(/ 1 (/ (/ y (- y z)) x))
22.0ms
(/ (/ y (- y z)) x)

series147.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ y (- y z))
40.0ms
(/ 1 (/ (/ y (- y z)) x))
67.0ms
(/ (/ y (- y z)) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
444 → 444
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014044472
150013999

prune750.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.1b
(* (/ (- y z) y) x)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*r* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
15.0ms
(/ (- y z) y)
28.0ms
(* (/ (- y z) y) x)

series70.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (- y z) y)
42.0ms
(* (/ (- y z) y) x)

simplify33.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0267394
1919362
25001360

prune134.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

-7.3% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 3.3b

bsearch49.0ms

Steps
ItersRangePoint
9
2.5621391374998962e-207
8.920174733308898e-202
6.957596946159085e-203
7
-8.708870663859879e-166
-2.7714262171513926e-167
-6.285461981990873e-166

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02816
12816

end0.0ms

sample479.0ms

Algorithm
intervals
Results
197.0ms9609×body80valid