Details

Time bar (total: 4.7s)

sample37.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.4b
(- (* (* z 2.0) z) (* y t))
19.9b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity add-log-exp
5×add-cube-cbrt
3×pow1 cbrt-undiv flip3-- times-frac div-exp prod-exp associate-/r* flip-- cbrt-unprod
2×sub-neg diff-log associate-/r/
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 51
Calls
3 calls:
21.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
6.0ms
(- (* (* z 2.0) z) (* y t))
16.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series322.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
36.0ms
(- (* (* z 2.0) z) (* y t))
204.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune158.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.2b

localize15.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
25.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
25.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
25.3b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×add-exp-log
12×add-cbrt-cube
9×cbrt-prod flip3-- flip--
8×associate-/r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv frac-times div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
21.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
8.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series592.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
117.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
120.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
127.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04361040
11466920
25001905

prune321.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 4 expressions with local error:

5.0b
(* (* (/ y (cbrt (- (* (* z 2.0) z) (* y t)))) (/ 2.0 (cbrt (- (* (* z 2.0) z) (* y t))))) (/ z (cbrt (- (* (* z 2.0) z) (* y t)))))
25.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
25.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
25.3b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
24×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac prod-exp cbrt-unprod
13×cbrt-undiv div-exp
9×pow1
8×cbrt-div
5×frac-times associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
92.0ms
(* (* (/ y (cbrt (- (* (* z 2.0) z) (* y t)))) (/ 2.0 (cbrt (- (* (* z 2.0) z) (* y t))))) (/ z (cbrt (- (* (* z 2.0) z) (* y t)))))
7.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series541.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (* (/ y (cbrt (- (* (* z 2.0) z) (* y t)))) (/ 2.0 (cbrt (- (* (* z 2.0) z) (* y t))))) (/ z (cbrt (- (* (* z 2.0) z) (* y t)))))
118.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
122.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
118.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify88.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06022055
130361732
250021721

prune346.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.4b
(- (* 2.0 (pow z 2)) (* t y))
6.0b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
18.9b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log times-frac add-cbrt-cube
15×associate-*r*
9×pow1
8×add-log-exp
6×prod-exp cbrt-unprod
4×flip3-- associate-/r/ flip--
3×cbrt-undiv div-exp pow-prod-down associate-/r* associate-/l*
2×sub-neg diff-log div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
3.0ms
(- (* 2.0 (pow z 2)) (* t y))
17.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
10.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
37.0ms
(- (* 2.0 (pow z 2)) (* t y))
190.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
48.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0391883
11978774
25003773

prune257.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.2b

regimes254.0ms

Accuracy

0% (1.8b remaining)

Error of 6.6b against oracle of 4.8b and baseline of 6.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02121
12121

end0.0ms

sample924.0ms

Algorithm
intervals
Results
701.0ms8000×body80valid