Details

Time bar (total: 3.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms327×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x y) (* z t))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* x y) (* z t))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(- (* x y) (* z t))

simplify75.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune31.0ms

Filtered
15 candidates to 12 candidates (80.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
2.3b
(- (pow (* x y) 3) (pow (* z t) 3))
2.8b
(* (* z t) (+ (* z t) (* x y)))
38.7b
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
27×times-frac
20×difference-of-squares sqr-pow
19×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×pow1 associate-/l*
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod flip-+
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
10.0ms
(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
8.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
11.0ms
(* (* z t) (+ (* z t) (* x y)))
36.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

series481.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
203.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
54.0ms
(* (* z t) (+ (* z t) (* x y)))
139.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

simplify126.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
05561992
132511869
250031864

prune341.0ms

Filtered
121 candidates to 92 candidates (76.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (* z t) (+ (* z t) (* x y)))
26.2b
(sqrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))
26.2b
(sqrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))
27.1b
(/ (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))) (sqrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
14×pow1
11×add-exp-log add-cbrt-cube
6×sqrt-div associate-/r*
5×flip3-+ flip-+
4×add-log-exp
3×sqrt-pow1 pow1/2 associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×rem-sqrt-square associate-*r/ associate-/r/ associate-/l/ pow-div
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp associate-*l* clear-num *-commutative div-inv
Counts
4 → 97
Calls
4 calls:
11.0ms
(* (* z t) (+ (* z t) (* x y)))
14.0ms
(sqrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))
14.0ms
(sqrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))
43.0ms
(/ (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))) (sqrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))))

series378.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* z t) (+ (* z t) (* x y)))
112.0ms
(sqrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))
109.0ms
(sqrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))
108.0ms
(/ (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))) (sqrt (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
03771991
121091711
250021699

prune309.0ms

Filtered
109 candidates to 77 candidates (70.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
2.3b
(- (pow (* x y) 3) (pow (* z t) 3))
2.8b
(* (* z t) (+ (* z t) (* x y)))
38.8b
(/ (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))) (- (pow (* x y) 3) (pow (* z t) 3)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
27×times-frac
20×difference-of-squares sqr-pow
19×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×pow1 associate-/r*
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+ associate-/l*
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 108
Calls
4 calls:
12.0ms
(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
8.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
11.0ms
(* (* z t) (+ (* z t) (* x y)))
38.0ms
(/ (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))) (- (pow (* x y) 3) (pow (* z t) 3)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
207.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
50.0ms
(* (* z t) (+ (* z t) (* x y)))
96.0ms
(/ (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))) (- (pow (* x y) 3) (pow (* z t) 3)))

simplify123.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
05022007
127931857
250011854

prune366.0ms

Filtered
120 candidates to 90 candidates (75.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes133.0ms

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
093
193

end0.0ms

sample500.0ms

Algorithm
intervals
Results
236.0ms10441×body80valid