Details

Time bar (total: 10.0s)

sample16.0ms

Algorithm
intervals
Results
6.0ms320×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.0b
(/ (* x (- y z)) y)

rewrite18.0ms

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:
10.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series86.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (- y z))
47.0ms
(/ (* x (- y z)) y)

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0219218
11044189
25001189

prune91.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.2b
(/ x (/ y (- y z)))

rewrite23.0ms

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:
6.0ms
(/ y (- y z))
10.0ms
(/ x (/ y (- y z)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ y (- y z))
49.0ms
(/ x (/ y (- y z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04721043
122201007
250011004

prune283.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y) (- (- y z)))
3.2b
(/ x (/ (- y) (- (- y z))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
1138×times-frac
723×add-sqr-sqrt *-un-lft-identity
519×add-cube-cbrt
468×distribute-lft-neg-in distribute-rgt-neg-in
160×associate-/r*
122×neg-mul-1
102×distribute-lft-out-- difference-of-squares
13×associate-/l*
11×associate-/r/
10×distribute-neg-frac
9×add-exp-log add-cbrt-cube
6×div-inv
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×neg-sub0 div-sub distribute-frac-neg
Counts
2 → 782
Calls
2 calls:
14.0ms
(/ (- y) (- (- y z)))
38.0ms
(/ x (/ (- y) (- (- y z))))

series110.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- y) (- (- y z)))
65.0ms
(/ x (/ (- y) (- (- y z))))

simplify115.0ms

Algorithm
egg-herbie
Counts
788 → 788
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
021018288
150038042

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y) (- (- y z)))
0.2b
(/ 1 (/ (/ (- y) (- (- y z))) x))
3.2b
(/ (/ (- y) (- (- y z))) x)

rewrite482.0ms

Algorithm
rewrite-expression-head
Rules
5896×times-frac
3111×add-sqr-sqrt *-un-lft-identity
2427×add-cube-cbrt
1572×distribute-lft-neg-in distribute-rgt-neg-in
459×associate-/r*
410×neg-mul-1
342×distribute-lft-out-- difference-of-squares
159×associate-/l*
35×associate-/r/
34×distribute-neg-frac
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp div-sub distribute-frac-neg clear-num add-log-exp
2×neg-sub0
1×pow-flip associate-/l/ inv-pow
Counts
3 → 2580
Calls
3 calls:
14.0ms
(/ (- y) (- (- y z)))
120.0ms
(/ 1 (/ (/ (- y) (- (- y z))) x))
53.0ms
(/ (/ (- y) (- (- y z))) x)

series154.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (- y) (- (- y z)))
47.0ms
(/ 1 (/ (/ (- y) (- (- y z))) x))
64.0ms
(/ (/ (- y) (- (- y z))) x)

simplify325.0ms

Algorithm
egg-herbie
Counts
2589 → 2589
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
0500235003

prune6.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

-12.8% (3.6b remaining)

Error of 3.6b against oracle of 0.0b and baseline of 3.2b

bsearch55.0ms

Steps
ItersRangePoint
6
-1.6232427560740034e-140
-2.7841068021777377e-141
-1.276743401231038e-140
9
-4.745992706628307e-48
-1.7646529456537145e-53
-9.434850190373923e-51

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12810
23110
33110

end0.0ms

sample393.0ms

Algorithm
intervals
Results
204.0ms9609×body80valid