Details

Time bar (total: 2.8s)

sample23.0ms

Algorithm
intervals
Results
8.0ms309×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750024

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.1b
(/ (* x (+ (- y z) 1.0)) z)

rewrite19.0ms

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:
8.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series69.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* x (+ (- y z) 1.0))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify34.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0254285
11225238
25001238

prune152.0ms

Filtered
53 candidates to 35 candidates (66.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh000
Picked101
Done000
Total49554

Merged error: 0.0b

Counts
54 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
1.8b
(/ x (/ z (+ (- y z) 1.0)))

rewrite26.0ms

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:
7.0ms
(/ z (+ (- y z) 1.0))
11.0ms
(/ x (/ z (+ (- y z) 1.0)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ z (+ (- y z) 1.0))
39.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04551177
121101129
250031126

prune376.0ms

Filtered
145 candidates to 92 candidates (63.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1441145
Fresh224
Picked011
Done000
Total1464150

Merged error: 0b

Counts
150 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
0.0b
(+ (/ (* x y) z) (* 1.0 (/ x z)))
6.0b
(/ (* x y) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv diff-log div-exp sum-log
1×+-commutative sub-neg flip3-- frac-2neg flip3-+ associate-*r/ frac-add prod-exp associate--l+ clear-num flip-- cbrt-unprod flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 49
Calls
3 calls:
8.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
6.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
4.0ms
(/ (* x y) z)

series104.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
42.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
22.0ms
(/ (* x y) z)

simplify34.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0254367
11124344
25002325

prune161.0ms

Filtered
58 candidates to 40 candidates (69.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh022
Picked011
Done011
Total58462

Merged error: 0b

Counts
62 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (* x (+ (- y z) 1.0)) z))
8.1b
(/ (* x (+ (- y z) 1.0)) z)
8.1b
(/ (* x (+ (- y z) 1.0)) z)
8.1b
(/ (* x (+ (- y z) 1.0)) z)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×associate-/r*
7×cbrt-prod
6×cbrt-undiv associate-*r/ div-exp associate-/l/
4×pow1 div-inv add-log-exp
3×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ associate-/l*
1×cbrt-div pow1/3
Counts
4 → 85
Calls
4 calls:
7.0ms
(cbrt (/ (* x (+ (- y z) 1.0)) z))
10.0ms
(/ (* x (+ (- y z) 1.0)) z)
9.0ms
(/ (* x (+ (- y z) 1.0)) z)
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series273.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (/ (* x (+ (- y z) 1.0)) z))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)
38.0ms
(/ (* x (+ (- y z) 1.0)) z)
41.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0319724
11297632
25001630

prune355.0ms

Filtered
97 candidates to 75 candidates (77.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done022
Total974101

Merged error: 0b

Counts
101 → 4

regimes229.0ms

Accuracy

84.5% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03124
13124

end0.0ms

sample610.0ms

Algorithm
intervals
Results
274.0ms10094×body80valid

Profiling

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