Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms327×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.4b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.3b
(* (/ x y) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
6.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series91.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (+ x 4.0) y)
41.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

simplify115.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341425
11212395
24978394
35002394

prune184.0ms

Filtered
88 candidates to 63 candidates (71.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New80888
Fresh000
Picked101
Done000
Total81889

Merged error: 0b

Counts
89 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x 4.0))
0.0b
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.2b
(/ 1 (/ y (+ x 4.0)))
2.3b
(* (/ x y) z)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
104×*-un-lft-identity
77×add-sqr-sqrt
72×add-cube-cbrt
22×add-exp-log associate-/r*
16×add-cbrt-cube distribute-lft-out
13×associate-*l*
11×associate-/r/
9×div-exp
7×pow1 div-inv
6×associate-/l* add-log-exp
5×cbrt-undiv flip3-+ flip-+
3×associate-*r*
2×rec-exp frac-2neg 1-exp associate-*l/ prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg flip3-- pow-flip diff-log pow-prod-down *-commutative frac-sub flip-- inv-pow
Counts
4 → 174
Calls
4 calls:
10.0ms
(/ y (+ x 4.0))
34.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
13.0ms
(/ 1 (/ y (+ x 4.0)))
6.0ms
(* (/ x y) z)

series125.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ y (+ x 4.0))
42.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
24.0ms
(/ 1 (/ y (+ x 4.0)))
23.0ms
(* (/ x y) z)

simplify74.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06411180
13132953
25002947

prune264.0ms

Filtered
186 candidates to 102 candidates (54.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1851186
Fresh167
Picked011
Done000
Total1868194

Merged error: 0b

Counts
194 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
2.2b
(* (/ x y) (- 1 z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
5×frac-add
4×pow1 distribute-rgt-in frac-times sub-neg associate-+l+ flip3-- distribute-lft-in associate-*r/ flip-- add-log-exp
2×associate-*l/ prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 63
Calls
2 calls:
11.0ms
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
13.0ms
(* (/ x y) (- 1 z))

series84.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (* (/ x y) (- 1 z)) (/ 4.0 y))
38.0ms
(* (/ x y) (- 1 z))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0384419
11667373
25002371

prune130.0ms

Filtered
69 candidates to 49 candidates (71.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh066
Picked011
Done011
Total69877

Merged error: 0b

Counts
77 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ x y) z)
13.3b
(cbrt (* (/ x y) z))
13.3b
(cbrt (* (/ x y) z))
13.3b
(cbrt (* (/ x y) z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* (/ x y) z)
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))

series256.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ x y) z)
79.0ms
(cbrt (* (/ x y) z))
79.0ms
(cbrt (* (/ x y) z))
79.0ms
(cbrt (* (/ x y) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0218353
1726305
22826277
35002273

prune169.0ms

Filtered
74 candidates to 55 candidates (74.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh055
Picked011
Done022
Total74882

Merged error: 0b

Counts
82 → 8

regimes99.0ms

Accuracy

83.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch69.0ms

Steps
ItersRangePoint
8
288352109824731.6
1.7996496416427061e+19
27486049406358176.0
7
-3.2164021495953464e-90
-2.902428354113019e-92
-3.164657010692361e-90

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03417
13417

end0.0ms

sample511.0ms

Algorithm
intervals
Results
302.0ms10121×body80valid