Details

Time bar (total: 1.8s)

sample14.0ms

Algorithm
intervals
Results
6.0ms310×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.1b
(/ (* x (- y z)) y)

rewrite17.0ms

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:
9.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series83.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (- y z))
46.0ms
(/ (* x (- y z)) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0219218
11044189
25001189

prune90.0ms

Filtered
55 candidates to 35 candidates (63.6%)
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))
2.2b
(/ x (/ y (- y z)))

rewrite22.0ms

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:
5.0ms
(/ y (- y z))
9.0ms
(/ x (/ y (- y z)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- y z))
47.0ms
(/ x (/ y (- y z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04721043
122201007
250011004

prune271.0ms

Filtered
145 candidates to 108 candidates (74.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.2b
(* x (/ (- y z) y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* 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 associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
8.0ms
(/ (- y z) y)
16.0ms
(* x (/ (- y z) y))

series79.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0264396
11187365
25001364

prune143.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- y z) (/ 1 y))
2.2b
(* x (* (- y z) (/ 1 y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
14×*-un-lft-identity associate-*r*
13×prod-exp
11×add-cube-cbrt times-frac
9×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
1×div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 70
Calls
2 calls:
15.0ms
(* (- y z) (/ 1 y))
19.0ms
(* x (* (- y z) (/ 1 y)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (/ 1 y))
49.0ms
(* x (* (- y z) (/ 1 y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0326376
11461309
25001297

prune118.0ms

Filtered
76 candidates to 49 candidates (64.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0.6% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.1b

bsearch76.0ms

Steps
ItersRangePoint
11
3.2599898194699943e-289
3.463040259566922e-269
1.7486134584104022e-274
10
-5.759922189643687e-102
-1.1538628039993458e-115
-1.2863222767697794e-106

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186
1186

end0.0ms

sample369.0ms

Algorithm
intervals
Results
189.0ms9567×body80valid