Details

Time bar (total: 3.1s)

sample32.0ms

Algorithm
intervals
Results
15.0ms537×body80valid

simplify69.0ms

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: 7.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.7b
(* (* y 4.0) (- (* z z) t))

rewrite17.0ms

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

series156.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- (* z z) t)
74.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
58.0ms
(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0292385
11348342
25001337

prune129.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- (* x x) (* (* z z) (* y 4.0))) (* (* y 4.0) (- t)))
0.0b
(- (* x x) (* (* z z) (* y 4.0)))
8.4b
(* (* z z) (* y 4.0))

rewrite21.0ms

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:
6.0ms
(- (- (* x x) (* (* z z) (* y 4.0))) (* (* y 4.0) (- t)))
7.0ms
(- (* x x) (* (* z z) (* y 4.0)))
7.0ms
(* (* z z) (* y 4.0))

series137.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (- (* x x) (* (* z z) (* y 4.0))) (* (* y 4.0) (- t)))
53.0ms
(- (* x x) (* (* z z) (* y 4.0)))
21.0ms
(* (* z z) (* y 4.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0288460
11300390
25001373

prune126.0ms

Filtered
59 candidates to 36 candidates (61.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:
6.0ms
(- (- (* x x) (* z (* z (* y 4.0)))) (* (* y 4.0) (- t)))
3.0ms
(- (* x x) (* z (* z (* y 4.0))))
6.0ms
(* z (* z (* y 4.0)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- (- (* x x) (* z (* z (* y 4.0)))) (* (* y 4.0) (- t)))
58.0ms
(- (* x x) (* z (* z (* y 4.0))))
21.0ms
(* z (* z (* y 4.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0293450
11247389
25001377

prune119.0ms

Filtered
58 candidates to 36 candidates (62.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
22.0b
(cbrt (* z (* z (* y 4.0))))
22.0b
(cbrt (* z (* z (* y 4.0))))
22.0b
(cbrt (* z (* z (* y 4.0))))

rewrite25.0ms

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:
6.0ms
(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
5.0ms
(cbrt (* z (* z (* y 4.0))))
8.0ms
(cbrt (* z (* z (* y 4.0))))
5.0ms
(cbrt (* z (* z (* y 4.0))))

series451.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (cbrt (* z (* z (* y 4.0)))) (cbrt (* z (* z (* y 4.0)))))
101.0ms
(cbrt (* z (* z (* y 4.0))))
100.0ms
(cbrt (* z (* z (* y 4.0))))
101.0ms
(cbrt (* z (* z (* y 4.0))))

simplify101.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0220537
1710472
23287393
35002387

prune231.0ms

Filtered
70 candidates to 56 candidates (80.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes213.0ms

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

sample895.0ms

Algorithm
intervals
Results
488.0ms16134×body80valid