Details

Time bar (total: 3.5s)

sample50.0ms

Algorithm
intervals
Results
32.0ms523×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (75.0ms)

IterNodesCost
0216
1526
21716
34016
48296
510906
616106
719566
822526
923675
1023675

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* z z))
6.2b
(* (* y 4.0) (- t (* z z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt prod-diff
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
distribute-rgt-in distribute-lft-in
associate-*r* add-log-exp
sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u difference-of-squares
diff-log associate-*l* *-commutative
Counts
2 → 54
Calls
2 calls:
2.0ms
(- t (* z z))
11.0ms
(* (* y 4.0) (- t (* z z)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- t (* z z))
87.0ms
(* (* y 4.0) (- t (* z z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0257349
11187299
25001292

prune162.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* z z))
6.2b
(* (* y 4.0) (- t (* z z)))
44.5b
(fma (- z) z (* z z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
prod-diff
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
distribute-rgt-in distribute-lft-in add-log-exp
associate-*r*
expm1-log1p-u sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
flip3-- associate-*r/ flip-- difference-of-squares
diff-log associate-*l* *-commutative fma-udef
Counts
3 → 64
Calls
3 calls:
2.0ms
(- t (* z z))
11.0ms
(* (* y 4.0) (- t (* z z)))
0.0ms
(fma (- z) z (* z z))

series182.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- t (* z z))
87.0ms
(* (* y 4.0) (- t (* z z)))
57.0ms
(fma (- z) z (* z z))

simplify43.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0266399
11192342
25001335

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
9.6b
(* (* y 4.0) (- (* z z)))
44.5b
(fma (- z) z (* z z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r*
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod log1p-expm1-u
+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ fma-udef distribute-lft-out
Counts
3 → 51
Calls
3 calls:
7.0ms
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
8.0ms
(* (* y 4.0) (- (* z z)))
0.0ms
(fma (- z) z (* z z))

series184.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
32.0ms
(* (* y 4.0) (- (* z z)))
56.0ms
(fma (- z) z (* z z))

simplify58.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0260342
11399284
25001281

prune213.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
0.2b
(* (* (* y 4.0) (- z)) z)
44.5b
(fma (- z) z (* z z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
distribute-lft-neg-out expm1-log1p-u associate-*r* distribute-rgt-neg-out log1p-expm1-u
+-commutative fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ fma-udef
Counts
3 → 50
Calls
3 calls:
10.0ms
(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
24.0ms
(* (* (* y 4.0) (- z)) z)
0.0ms
(fma (- z) z (* z z))

series183.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
38.0ms
(* (* (* y 4.0) (- z)) z)
52.0ms
(fma (- z) z (* z z))

simplify59.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0284356
11467305
25002281

prune183.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.0b 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
02815
13615
24515
34515

end0.0ms

sample1.4s

Algorithm
intervals
Results
984.0ms15635×body80valid