Details

Time bar (total: 2.1s)

sample39.0ms

Algorithm
intervals
Results
19.0ms447×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.5b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
4.0b
(- (+ (* x x) (* y y)) (* z z))
23.6b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite19.0ms

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:
4.0ms
(+ (* x x) (* y y))
6.0ms
(- (+ (* x x) (* y y)) (* z z))
9.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series37.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
11.0ms
(- (+ (* x x) (* y y)) (* z z))
20.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0337520
11492454
25001446

prune90.0ms

Filtered
46 candidates to 61 candidates (-32.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56561
Fresh000
Picked101
Done000
Total57562

Merged error: 9.2b

Counts
62 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

8.9b
(/ (pow z 2) y)
9.4b
(/ (pow x 2) y)

rewrite13.0ms

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
8×unpow2 sqr-pow
6×div-exp associate-/r* add-cbrt-cube
2×pow1 cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num div-inv add-log-exp
Counts
2 → 98
Calls
2 calls:
5.0ms
(/ (pow z 2) y)
5.0ms
(/ (pow x 2) y)

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (pow z 2) y)
3.0ms
(/ (pow x 2) y)

simplify34.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0270482
1962422
25001415

prune152.0ms

Filtered
66 candidates to 104 candidates (-57.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New995104
Fresh314
Picked101
Done000
Total1036109

Merged error: 1.2b

Counts
109 → 6

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(* z (/ z y))
9.4b
(/ (pow x 2) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
34×times-frac
32×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
13×associate-*r*
12×add-exp-log unpow-prod-down
9×add-cbrt-cube
8×associate-/l*
4×pow1 div-exp unpow2 sqr-pow
3×associate-*l* associate-/r*
2×cbrt-undiv prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×pow-to-exp frac-2neg associate-*r/ pow-prod-down pow-exp clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
6.0ms
(* z (/ z y))
5.0ms
(/ (pow x 2) y)

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* z (/ z y))
3.0ms
(/ (pow x 2) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0291387
11308323
25001320

prune105.0ms

Filtered
56 candidates to 87 candidates (-55.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New85287
Fresh235
Picked101
Done000
Total88593

Merged error: 0b

Counts
93 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×associate-*r*
20×times-frac
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
6×pow1 associate-*l*
4×prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
2 → 64
Calls
2 calls:
6.0ms
(* z (/ z y))
6.0ms
(* x (/ x y))

series7.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* z (/ z y))
3.0ms
(* x (/ x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0299266
11482224
25001224

prune51.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh044
Picked011
Done000
Total70575

Merged error: 0b

Counts
75 → 5

regimes298.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

end0.0ms

sample1.0s

Algorithm
intervals
Results
590.0ms13829×body80valid

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