Details

Time bar (total: 3.8s)

sample47.0ms

Algorithm
intervals
Results
22.0ms437×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
5.8b
(- (+ (* x x) (* y y)) (* z z))
30.2b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-sqr-sqrt add-cbrt-cube
5×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×pow1 difference-of-squares
2×cbrt-undiv flip3-- diff-log div-exp sum-log flip-- associate-/l/
1×+-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:
9.0ms
(+ (* x x) (* y y))
38.0ms
(- (+ (* x x) (* y y)) (* z z))
71.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series154.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* x x) (* y y))
45.0ms
(- (+ (* x x) (* y y)) (* z z))
81.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0337520
11492454
25001446

prune172.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 13.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
0.0b
(+ y (/ (pow x 2) y))
12.3b
(/ (pow z 2) y)
12.7b
(/ (pow x 2) y)

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
50×add-sqr-sqrt
45×*-un-lft-identity
38×add-cube-cbrt
25×unpow-prod-down
16×associate-/l*
14×add-exp-log
11×add-log-exp
9×unpow2 sqr-pow
8×add-cbrt-cube
6×div-exp associate-/r*
5×difference-of-squares
4×pow1
2×cbrt-undiv pow-to-exp frac-2neg flip3-+ diff-log pow-exp clear-num sum-log frac-sub flip-+ div-inv distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 133
Calls
4 calls:
161.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
17.0ms
(+ y (/ (pow x 2) y))
11.0ms
(/ (pow z 2) y)
9.0ms
(/ (pow x 2) y)

series109.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
27.0ms
(+ y (/ (pow x 2) y))
18.0ms
(/ (pow z 2) y)
19.0ms
(/ (pow x 2) y)

simplify42.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0419838
11459771
25002759

prune312.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ x (/ y x)))
0.0b
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.2b
(/ x (/ y x))
12.3b
(/ (pow z 2) y)

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
75×add-sqr-sqrt
70×*-un-lft-identity
63×add-cube-cbrt
16×associate-/r*
14×add-exp-log
13×unpow-prod-down
11×add-cbrt-cube associate-/l* add-log-exp
6×div-exp div-inv
5×unpow2 difference-of-squares sqr-pow
4×pow1 cbrt-undiv
2×frac-2neg flip3-+ diff-log clear-num sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative pow-to-exp sub-neg flip3-- pow-exp associate--l+ associate-/r/ flip--
Counts
4 → 154
Calls
4 calls:
21.0ms
(+ y (/ x (/ y x)))
204.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
11.0ms
(/ x (/ y x))
8.0ms
(/ (pow z 2) y)

series107.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ x (/ y x)))
40.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
18.0ms
(/ x (/ y x))
19.0ms
(/ (pow z 2) y)

simplify71.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06051049
12708969
25001963

prune364.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ x (/ y x)))
0.0b
(- (+ y (/ x (/ y x))) (* (fabs z) (/ (fabs z) y)))
0.2b
(* (fabs z) (/ (fabs z) y))
0.2b
(/ x (/ y x))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
59×add-sqr-sqrt
56×*-un-lft-identity
54×add-cube-cbrt
14×add-exp-log add-cbrt-cube
13×associate-*r* associate-/r*
11×add-log-exp
6×pow1 div-inv
4×cbrt-undiv div-exp
3×associate-*r/ associate-*l* associate-/l*
2×flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
1×+-commutative sub-neg flip3-- frac-2neg pow-prod-down associate--l+ clear-num associate-/r/ *-commutative flip-- distribute-lft-out
Counts
4 → 130
Calls
4 calls:
21.0ms
(+ y (/ x (/ y x)))
191.0ms
(- (+ y (/ x (/ y x))) (* (fabs z) (/ (fabs z) y)))
16.0ms
(* (fabs z) (/ (fabs z) y))
9.0ms
(/ x (/ y x))

series119.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ x (/ y x)))
44.0ms
(- (+ y (/ x (/ y x))) (* (fabs z) (/ (fabs z) y)))
22.0ms
(* (fabs z) (/ (fabs z) y))
22.0ms
(/ x (/ y x))

simplify82.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0600968
12992886
25001874

prune338.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169
1169

end0.0ms

sample837.0ms

Algorithm
intervals
Results
448.0ms13678×body80valid