Details

Time bar (total: 2.4s)

sample28.0ms

Algorithm
intervals
Results
15.0ms469×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
4.5b
(- (+ (* x x) (* y y)) (* z z))
27.4b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-exp-log add-sqr-sqrt add-cbrt-cube
add-cube-cbrt *-un-lft-identity
times-frac associate-/l*
pow1 difference-of-squares
cbrt-undiv flip3-- diff-log div-exp sum-log flip-- associate-/l/
+-commutative sub-neg frac-2neg flip3-+ div-sub prod-exp associate--l+ clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
3 → 52
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
17.0ms
(- (+ (* x x) (* y y)) (* z z))
34.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series163.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* x x) (* y y))
46.0ms
(- (+ (* x x) (* y y)) (* z z))
79.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0337520
11492454
25001446

prune146.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 10.8b

localize11.0ms

Local error

Found 2 expressions with local error:

9.5b
(/ (pow x 2) y)
9.5b
(/ (pow z 2) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
36×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
16×associate-/l*
12×add-exp-log
unpow2 sqr-pow
div-exp associate-/r* add-cbrt-cube
pow1 cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num div-inv add-log-exp
Counts
2 → 98
Calls
2 calls:
4.0ms
(/ (pow x 2) y)
4.0ms
(/ (pow z 2) y)

series36.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (pow x 2) y)
18.0ms
(/ (pow z 2) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0270482
1962422
25002415

prune246.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ z (/ y z))
9.5b
(/ (pow x 2) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
61×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
12×add-exp-log unpow-prod-down
11×associate-/l*
add-cbrt-cube
div-exp div-inv
cbrt-undiv unpow2 sqr-pow
pow1 frac-2neg clear-num add-log-exp
pow-to-exp pow-exp associate-/r/
Counts
2 → 119
Calls
2 calls:
5.0ms
(/ z (/ y z))
4.0ms
(/ (pow x 2) y)

series40.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ z (/ y z))
22.0ms
(/ (pow x 2) y)

simplify62.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0449693
12177620
25001613

prune288.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (/ x y))
0.2b
(/ z (/ y z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
57×add-sqr-sqrt
52×add-cube-cbrt *-un-lft-identity
13×associate-*r* associate-/r*
12×add-exp-log add-cbrt-cube
div-inv
pow1 cbrt-undiv div-exp
associate-*l* associate-/l*
prod-exp cbrt-unprod add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(* x (/ x y))
5.0ms
(/ z (/ y z))

series36.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* x (/ x y))
18.0ms
(/ z (/ y z))

simplify66.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0459585
12386525
25001518

prune228.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample727.0ms

Algorithm
intervals
Results
456.0ms13771×body80valid