Details

Time bar (total: 3.9s)

sample27.0ms

Algorithm
intervals
Results
15.0ms420×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize9.0ms

Local error

Found 2 expressions with local error:

3.5b
(- (+ (* x x) (* y y)) (* z z))
27.0b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-sqr-sqrt add-cbrt-cube add-log-exp
4×add-cube-cbrt *-un-lft-identity times-frac associate-/l*
3×difference-of-squares
2×pow1 cbrt-undiv flip3-- diff-log div-exp flip-- associate-/l/
1×sub-neg frac-2neg div-sub prod-exp associate--l+ clear-num associate-/r* sum-log cbrt-unprod div-inv
Counts
2 → 41
Calls
2 calls:
18.0ms
(- (+ (* x x) (* y y)) (* z z))
28.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series121.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (+ (* x x) (* y y)) (* z z))
77.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0275450
11168388
25001380

prune120.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 8.5b

localize10.0ms

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))
8.2b
(/ (pow z 2) y)
11.3b
(/ (pow x 2) y)

rewrite137.0ms

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:
112.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
13.0ms
(+ y (/ (pow x 2) y))
4.0ms
(/ (pow z 2) y)
4.0ms
(/ (pow x 2) y)

series106.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (+ 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)

simplify46.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0419868
11597771
25002761

prune327.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
0.0b
(+ y (/ (pow x (/ 2 2)) (/ y x)))
0.2b
(/ (pow x (/ 2 2)) (/ y x))
8.2b
(/ (pow z 2) y)

rewrite353.0ms

Algorithm
rewrite-expression-head
Rules
191×times-frac
117×add-sqr-sqrt
112×*-un-lft-identity
105×add-cube-cbrt
55×unpow-prod-down
22×add-exp-log
19×sqr-pow
16×associate-/r*
15×associate-/l*
12×div-exp
11×add-cbrt-cube add-log-exp
10×div-inv
5×unpow2 difference-of-squares
4×pow1 cbrt-undiv
3×pow-to-exp pow-exp
2×frac-2neg flip3-+ diff-log clear-num sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ associate-/r/ flip--
Counts
4 → 214
Calls
4 calls:
300.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
29.0ms
(+ y (/ (pow x (/ 2 2)) (/ y x)))
7.0ms
(/ (pow x (/ 2 2)) (/ y x))
7.0ms
(/ (pow z 2) y)

series107.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
30.0ms
(+ y (/ (pow x (/ 2 2)) (/ y x)))
19.0ms
(/ (pow x (/ 2 2)) (/ y x))
18.0ms
(/ (pow z 2) y)

simplify96.0ms

Algorithm
egg-herbie
Counts
226 → 226
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08222062
138641513
250011475

prune424.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
101×add-sqr-sqrt
98×*-un-lft-identity
96×add-cube-cbrt
42×unpow-prod-down
22×add-exp-log
14×add-cbrt-cube sqr-pow
13×associate-*r* associate-/r*
11×add-log-exp
10×div-exp div-inv
7×associate-/l*
6×pow1
4×cbrt-undiv
3×associate-*r/ associate-*l*
2×pow-to-exp flip3-+ diff-log pow-exp 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 → 190
Calls
4 calls:
289.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
32.0ms
(+ y (/ (pow x (/ 2 2)) (/ y x)))
7.0ms
(* z (/ z y))
7.0ms
(/ (pow x (/ 2 2)) (/ y x))

series108.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
26.0ms
(+ y (/ (pow x (/ 2 2)) (/ y x)))
23.0ms
(* z (/ z y))
19.0ms
(/ (pow x (/ 2 2)) (/ y x))

simplify128.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
08121389
140511207
250021197

prune370.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes97.0ms

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
0188
1198
2198

end0.0ms

sample765.0ms

Algorithm
intervals
Results
486.0ms13675×body80valid