Details

Time bar (total: 2.7s)

sample23.0ms

Algorithm
intervals
Results
11.0ms331×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (35.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b
(+ 0.75 (/ (- x z) y))
0.0b
(/ (- x z) y)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
add-log-exp
add-exp-log add-cbrt-cube associate-/l*
distribute-lft-out-- difference-of-squares
pow1 associate-/r*
+-commutative associate-+r+ flip3-+ div-sub sum-log flip-+ associate-/l/
cbrt-undiv distribute-rgt-in associate-+r- flip3-- frac-2neg distribute-lft-in div-exp clear-num flip-- div-inv distribute-lft-out
Counts
3 → 64
Calls
3 calls:
3.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
8.0ms
(+ 0.75 (/ (- x z) y))
6.0ms
(/ (- x z) y)

series70.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
14.0ms
(+ 0.75 (/ (- x z) y))
29.0ms
(/ (- x z) y)

simplify33.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0325399
11056367
25001367

prune130.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New69473
Fresh101
Picked101
Done000
Total71475

Merged error: 0b

Counts
75 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (/ (- x z) y))
0.0b
(+ 4.0 (* 4.0 (/ (- x z) y)))
0.0b
(/ (- x z) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
9.0ms
(* 4.0 (/ (- x z) y))
3.0ms
(+ 4.0 (* 4.0 (/ (- x z) y)))
6.0ms
(/ (- x z) y)

series94.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* 4.0 (/ (- x z) y))
26.0ms
(+ 4.0 (* 4.0 (/ (- x z) y)))
26.0ms
(/ (- x z) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0336490
11562452
25001451

prune148.0ms

Filtered
96 candidates to 66 candidates (68.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New95196
Fresh123
Picked101
Done000
Total973100

Merged error: 0b

Counts
100 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (- (/ x y) (/ z y)))
0.0b
(+ 4.0 (* 4.0 (- (/ x y) (/ z y))))
0.0b
(- (/ x y) (/ z y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
20×times-frac
12×associate-*r*
add-cube-cbrt
distribute-lft-out-- difference-of-squares
add-log-exp
pow1 add-exp-log sub-neg add-cbrt-cube
distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ div-inv
associate-*l*
flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 73
Calls
3 calls:
15.0ms
(* 4.0 (- (/ x y) (/ z y)))
4.0ms
(+ 4.0 (* 4.0 (- (/ x y) (/ z y))))
15.0ms
(- (/ x y) (/ z y))

series86.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* 4.0 (- (/ x y) (/ z y)))
26.0ms
(+ 4.0 (* 4.0 (- (/ x y) (/ z y))))
21.0ms
(- (/ x y) (/ z y))

simplify42.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0297473
11251441
25001440

prune127.0ms

Filtered
82 candidates to 58 candidates (70.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh022
Picked011
Done000
Total82385

Merged error: 0b

Counts
85 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series748.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (cbrt y) (cbrt y))
179.0ms
(cbrt y)
181.0ms
(cbrt y)
179.0ms
(cbrt y)

simplify93.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune195.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample574.0ms

Algorithm
intervals
Results
360.0ms10069×body80valid

Profiling

Loading profile data...