Details

Time bar (total: 3.4s)

sample36.0ms

Algorithm
intervals
Results
19.0ms541×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1506
21596
33516
46096
57336
610686
713426
815066
915536
1015536

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.6b
(* (* y 4.0) (- (* z z) t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r* associate--r+
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* z z) t)
3.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms
(* (* y 4.0) (- (* z z) t))

series162.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- (* z z) t)
76.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
64.0ms
(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0292385
11348342
25001337

prune143.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
0.0b
(- (* x x) (* (* z z) (* y 4.0)))
8.6b
(* (* z z) (* y 4.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
8×pow-prod-down prod-exp cbrt-unprod
4×diff-log
3×add-sqr-sqrt add-cube-cbrt sub-neg *-un-lft-identity
2×flip3-- associate--l+ flip--
1×associate--l- associate-*r* associate-*l* *-commutative
Counts
3 → 50
Calls
3 calls:
17.0ms
(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
3.0ms
(- (* x x) (* (* z z) (* y 4.0)))
11.0ms
(* (* z z) (* y 4.0))

series149.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
57.0ms
(- (* x x) (* (* z z) (* y 4.0)))
26.0ms
(* (* z z) (* y 4.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0290456
11320384
25002373

prune136.0ms

Filtered
59 candidates to 36 candidates (61.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
0.0b
(- (* x x) (* z (* z (* y 4.0))))
0.2b
(* z (* z (* y 4.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
6×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity diff-log
3×sub-neg associate-*l*
2×flip3-- associate--l+ flip--
1×associate--l- associate-*r* *-commutative
Counts
3 → 49
Calls
3 calls:
17.0ms
(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
3.0ms
(- (* x x) (* z (* z (* y 4.0))))
15.0ms
(* z (* z (* y 4.0)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
62.0ms
(- (* x x) (* z (* z (* y 4.0))))
23.0ms
(* z (* z (* y 4.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0293450
11248389
25002377

prune135.0ms

Filtered
58 candidates to 36 candidates (62.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x x) (* z (* z (* y 4.0))))) (cbrt (- (* x x) (* z (* z (* y 4.0))))))
8.0b
(cbrt (- (* x x) (* z (* z (* y 4.0)))))
8.0b
(cbrt (- (* x x) (* z (* z (* y 4.0)))))
8.0b
(cbrt (- (* x x) (* z (* z (* y 4.0)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
19.0ms
(* (cbrt (- (* x x) (* z (* z (* y 4.0))))) (cbrt (- (* x x) (* z (* z (* y 4.0))))))
2.0ms
(cbrt (- (* x x) (* z (* z (* y 4.0)))))
2.0ms
(cbrt (- (* x x) (* z (* z (* y 4.0)))))
2.0ms
(cbrt (- (* x x) (* z (* z (* y 4.0)))))

series466.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (cbrt (- (* x x) (* z (* z (* y 4.0))))) (cbrt (- (* x x) (* z (* z (* y 4.0))))))
120.0ms
(cbrt (- (* x x) (* z (* z (* y 4.0)))))
113.0ms
(cbrt (- (* x x) (* z (* z (* y 4.0)))))
116.0ms
(cbrt (- (* x x) (* z (* z (* y 4.0)))))

simplify155.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (143.0ms)

IterNodesCost
02671416
19841323
248191239
350021231

prune329.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes282.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1239
2309
3309

end0.0ms

sample850.0ms

Algorithm
intervals
Results
473.0ms15942×body80valid