Details

Time bar (total: 2.9s)

sample36.0ms

Algorithm
intervals
Results
18.0ms537×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1427
2547
3547

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize9.0ms

Local error

Found 2 expressions with local error:

20.1b
(/ (* x x) (* y y))
21.7b
(/ (* z z) (* t t))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

series53.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* x x) (* y y))
28.0ms
(/ (* z z) (* t t))

simplify30.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0285248
11335170
25001160

prune93.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
20.1b
(/ (* x x) (* y y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
pow1
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
prod-exp cbrt-unprod
cbrt-undiv div-exp
swap-sqr associate-*r* associate-*l*
add-log-exp
pow2 frac-2neg times-frac pow-plus pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
5.0ms
(/ (* x x) (* y y))

series32.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
25.0ms
(/ (* x x) (* y y))

simplify117.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0204263
1928199
24340182
35002176

prune116.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
0.3b
(* (/ x y) (/ x y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
34×add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp div-inv
pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up add-log-exp
frac-times associate-*r/ associate-*l/
Counts
2 → 92
Calls
2 calls:
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
13.0ms
(* (/ x y) (/ x y))

series33.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
26.0ms
(* (/ x y) (/ x y))

simplify59.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0396544
11932463
25001415

prune239.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.5b
(pow (sqrt (fabs (/ z t))) 3)
11.8b
(sqrt (fabs (/ z t)))
11.8b
(sqrt (fabs (/ z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
40×times-frac
39×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
15×pow1
13×swap-sqr associate-*r* associate-*l*
12×sqrt-prod
unpow-prod-down cube-prod
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
pow-unpow pow-pow sqrt-pow1 pow1/2
rem-sqrt-square
pow2 cube-mult frac-times pow-to-exp pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 125
Calls
4 calls:
13.0ms
(* (/ x y) (/ x y))
2.0ms
(pow (sqrt (fabs (/ z t))) 3)
1.0ms
(sqrt (fabs (/ z t)))
1.0ms
(sqrt (fabs (/ z t)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ x y) (/ x y))
23.0ms
(pow (sqrt (fabs (/ z t))) 3)
7.0ms
(sqrt (fabs (/ z t)))
8.0ms
(sqrt (fabs (/ z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0455710
12300624
25001582

prune319.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes562.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511
11511

end0.0ms

sample948.0ms

Algorithm
intervals
Results
558.0ms15638×body80valid