Details

Time bar (total: 3.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify68.0ms

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: 7.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
6.9b
(/ (* x (+ (- y z) 1.0)) z)

rewrite58.0ms

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:
39.0ms
(* x (+ (- y z) 1.0))
17.0ms
(/ (* x (+ (- y z) 1.0)) z)

series75.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (+ (- y z) 1.0))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify37.0ms

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

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite49.0ms

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:
17.0ms
(/ z (+ (- y z) 1.0))
22.0ms
(/ x (/ z (+ (- y z) 1.0)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ z (+ (- y z) 1.0))
41.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04551177
121101129
250021126

prune256.0ms

Filtered
145 candidates to 93 candidates (64.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.6b
(* x (/ (+ (- y z) 1.0) z))

rewrite81.0ms

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:
34.0ms
(/ (+ (- y z) 1.0) z)
45.0ms
(* x (/ (+ (- y z) 1.0) z))

series66.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ (- y z) 1.0) z)
41.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify37.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0267479
11167438
25001432

prune135.0ms

Filtered
82 candidates to 49 candidates (59.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
1.0b
(/ x (/ (cbrt z) (+ (- y z) 1.0)))
4.5b
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (+ (- y z) 1.0))))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
452×times-frac
415×*-un-lft-identity
236×add-sqr-sqrt
201×add-cube-cbrt
114×cbrt-prod
113×associate-*r*
87×add-exp-log
84×distribute-lft-out
42×distribute-lft-out--
36×div-exp associate-/r*
35×add-cbrt-cube
30×prod-exp
18×cbrt-undiv
16×associate-/r/
12×cbrt-unprod unswap-sqr
10×div-inv
7×flip3-+ associate-*l* flip-+
6×pow1 rec-exp 1-exp
4×add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 358
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
25.0ms
(/ x (/ (cbrt z) (+ (- y z) 1.0)))
104.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (+ (- y z) 1.0))))

series766.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt z)
175.0ms
(cbrt z)
346.0ms
(/ x (/ (cbrt z) (+ (- y z) 1.0)))
70.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (+ (- y z) 1.0))))

simplify65.0ms

Algorithm
egg-herbie
Counts
370 → 370
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013234179
150013629

prune773.0ms

Filtered
370 candidates to 234 candidates (63.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes129.0ms

Accuracy

91.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.4b

bsearch62.0ms

Steps
ItersRangePoint
8
1.1720782251133966e-20
5.099291964230676e-18
6.531790029996457e-20
7
-8.324803000800919e+69
-9.036383567374878e+67
-9.173927684996018e+67

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample438.0ms

Algorithm
intervals
Results
242.0ms10161×body80valid