Details

Time bar (total: 2.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms329×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
43.0ms
(* x (+ (- y z) 1.0))
19.0ms
(/ (* x (+ (- y z) 1.0)) z)

series69.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* x (+ (- y z) 1.0))
39.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify35.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0254285
11225238
25001238

prune98.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.1b
(/ x (/ z (+ (- y z) 1.0)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
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:
18.0ms
(/ z (+ (- y z) 1.0))
26.0ms
(/ x (/ z (+ (- y z) 1.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ z (+ (- y z) 1.0))
45.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04551177
121101129
250021126

prune252.0ms

Filtered
145 candidates to 93 candidates (64.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.1b
(/ x (* 1 (/ z (+ (- y z) 1.0))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
18×add-exp-log times-frac
14×add-sqr-sqrt add-cube-cbrt
13×add-cbrt-cube
8×div-exp distribute-lft-out
6×associate-/r* associate-/l*
5×cbrt-undiv
4×prod-exp distribute-lft-out--
3×associate-/r/
2×pow1 frac-2neg 1-exp clear-num cbrt-unprod div-inv add-log-exp
1×flip3-+ associate-*r/ flip-+
Counts
2 → 63
Calls
2 calls:
18.0ms
(/ z (+ (- y z) 1.0))
13.0ms
(/ x (* 1 (/ z (+ (- y z) 1.0))))

series89.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ z (+ (- y z) 1.0))
40.0ms
(/ x (* 1 (/ z (+ (- y z) 1.0))))

simplify36.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0305421
11360363
25002356

prune110.0ms

Filtered
69 candidates to 42 candidates (60.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
4.2b
(* x (/ (+ (- y z) 1.0) z))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
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×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 76
Calls
2 calls:
33.0ms
(/ (+ (- y z) 1.0) z)
46.0ms
(* x (/ (+ (- y z) 1.0) z))

series66.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (+ (- y z) 1.0) z)
38.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify34.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0267479
11167438
25001432

prune122.0ms

Filtered
82 candidates to 50 candidates (61.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

97.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.3b

bsearch51.0ms

Steps
ItersRangePoint
5
3.4535201554271017e-08
1.0911684528208986e-07
8.264702531127808e-08
8
-1827977.1926269082
-30.883936201328435
-159.56615624190854

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12813
22813

end0.0ms

sample440.0ms

Algorithm
intervals
Results
239.0ms10108×body80valid