Details

Time bar (total: 3.3s)

sample32.0ms

Algorithm
intervals
Results
13.0ms496×body80valid

simplify70.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b
(- (* z z) t)
5.2b
(* (* y 4.0) (- (* z z) t))

rewrite56.0ms

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:
9.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(- (* z z) t)
38.0ms
(* (* y 4.0) (- (* z z) t))

series137.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
18.0ms
(- (* z z) t)
54.0ms
(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0292385
11348342
25001337

prune120.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* z z) (* y 4.0)))
0.0b
(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
9.1b
(* (* z z) (* y 4.0))

rewrite85.0ms

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:
8.0ms
(- (* x x) (* (* z z) (* y 4.0)))
46.0ms
(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
29.0ms
(* (* z z) (* y 4.0))

series126.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (* x x) (* (* z z) (* y 4.0)))
57.0ms
(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
19.0ms
(* (* z z) (* y 4.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0290456
11320384
25002373

prune121.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

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:
10.0ms
(- (* x x) (* z (* z (* y 4.0))))
46.0ms
(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
39.0ms
(* z (* z (* y 4.0)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- (* x x) (* z (* z (* y 4.0))))
54.0ms
(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
21.0ms
(* z (* z (* y 4.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0293450
11248389
25001377

prune120.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
19.3b
(cbrt (* z (* z (* y 4.0))))
19.3b
(cbrt (* z (* z (* y 4.0))))
19.3b
(cbrt (* z (* z (* y 4.0))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
50.0ms
(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
29.0ms
(cbrt (* z (* z (* y 4.0))))
32.0ms
(cbrt (* z (* z (* y 4.0))))
30.0ms
(cbrt (* z (* z (* y 4.0))))

series422.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
94.0ms
(cbrt (* z (* z (* y 4.0))))
96.0ms
(cbrt (* z (* z (* y 4.0))))
96.0ms
(cbrt (* z (* z (* y 4.0))))

simplify105.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0220537
1710472
23287393
35002387

prune220.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b 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

sample945.0ms

Algorithm
intervals
Results
429.0ms15653×body80valid