Details

Time bar (total: 3.1s)

sample24.0ms

Algorithm
intervals
Results
12.0ms346×body80valid

simplify153.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1017524
1130194
1245374
1350014

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: 1.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.1b
(* (/ x y) (- z t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×*-un-lft-identity
18×frac-times
16×add-cube-cbrt
14×associate-*l*
10×flip3-- times-frac flip--
9×associate-*l/ associate-/r* associate-/l*
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
3×frac-2neg clear-num
2×associate-*r/ prod-exp cbrt-unprod distribute-lft-out unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 83
Calls
2 calls:
18.0ms
(+ (* (/ x y) (- z t)) t)
11.0ms
(* (/ x y) (- z t))

series97.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* (/ x y) (- z t)) t)
62.0ms
(* (/ x y) (- z t))

simplify55.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0476530
12149491
25001491

prune134.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83689
Fresh000
Picked101
Done000
Total84690

Merged error: 0.0b

Counts
90 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* z (/ x y)) (- t (* t (/ x y))))
4.1b
(* t (/ x y))
5.1b
(* z (/ x y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
37×add-sqr-sqrt
36×associate-*r/
27×add-cube-cbrt
26×associate-*r*
22×frac-add
20×times-frac
16×associate-/l*
13×add-exp-log add-cbrt-cube
12×associate-/r*
11×flip3-- associate-*l* flip--
8×clear-num un-div-inv add-log-exp
7×pow1
6×distribute-lft-out
4×frac-2neg prod-exp cbrt-unprod distribute-lft-out-- unswap-sqr
2×cbrt-undiv associate-+r+ div-exp pow-prod-down sum-log *-commutative div-inv
1×+-commutative associate-+r- sub-neg flip3-+ diff-log flip-+
Counts
3 → 127
Calls
3 calls:
34.0ms
(+ (* z (/ x y)) (- t (* t (/ x y))))
8.0ms
(* t (/ x y))
8.0ms
(* z (/ x y))

series78.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (* z (/ x y)) (- t (* t (/ x y))))
20.0ms
(* t (/ x y))
19.0ms
(* z (/ x y))

simplify110.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
07781053
13881997
25001989

prune197.0ms

Filtered
136 candidates to 87 candidates (64.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1342136
Fresh235
Picked101
Done000
Total1375142

Merged error: 0b

Counts
142 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ y x)) t)
7.5b
(/ (- z t) (/ y x))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
90×*-un-lft-identity
88×add-sqr-sqrt
60×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
9×associate-/r/
8×associate-/l*
7×add-exp-log add-cbrt-cube div-inv
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 frac-2neg div-sub clear-num associate-/l/
1×+-commutative associate-+l- flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 122
Calls
2 calls:
33.0ms
(+ (/ (- z t) (/ y x)) t)
10.0ms
(/ (- z t) (/ y x))

series82.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (/ (- z t) (/ y x)) t)
44.0ms
(/ (- z t) (/ y x))

simplify62.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0627987
12335942
25001941

prune193.0ms

Filtered
128 candidates to 91 candidates (71.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh134
Picked011
Done000
Total1285133

Merged error: 0b

Counts
133 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

5.5b
(cbrt (* (/ x y) (- z t)))
7.1b
(* (/ x y) (- z t))
7.1b
(* (/ x y) (- z t))
7.1b
(* (/ x y) (- z t))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
72×frac-times
69×*-un-lft-identity
61×add-cube-cbrt
52×associate-*l*
40×flip3-- times-frac flip--
36×associate-*l/ associate-/r* associate-/l*
29×cbrt-div
25×cbrt-prod
20×associate-*r*
19×add-exp-log add-cbrt-cube
12×frac-2neg clear-num
10×pow1
8×associate-*r/ unswap-sqr
6×distribute-rgt-in sub-neg distribute-lft-in prod-exp cbrt-unprod
4×*-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-undiv div-exp pow-prod-down
1×pow1/3
Counts
4 → 260
Calls
4 calls:
11.0ms
(cbrt (* (/ x y) (- z t)))
11.0ms
(* (/ x y) (- z t))
10.0ms
(* (/ x y) (- z t))
11.0ms
(* (/ x y) (- z t))

series292.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (* (/ x y) (- z t)))
56.0ms
(* (/ x y) (- z t))
57.0ms
(* (/ x y) (- z t))
53.0ms
(* (/ x y) (- z t))

simplify72.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05971818
123841728
250011726

prune614.0ms

Filtered
272 candidates to 201 candidates (73.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2720272
Fresh033
Picked011
Done011
Total2725277

Merged error: 0b

Counts
277 → 5

regimes114.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample561.0ms

Algorithm
intervals
Results
284.0ms10696×body80valid