Details

Time bar (total: 2.9s)

analyze346.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms38×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.1b
(* (/ x y) z)

rewrite24.0ms

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:
5.0ms
(/ (+ x 4.0) y)
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

simplify113.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune133.0ms

Filtered
63 candidates to 88 candidates (-39.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0.0b

Counts
89 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.0b
(/ y (+ x 4.0))
0.1b
(/ 1 (/ y (+ x 4.0)))
4.1b
(* (/ x y) z)

rewrite45.0ms

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:
19.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
5.0ms
(/ y (+ x 4.0))
8.0ms
(/ 1 (/ y (+ x 4.0)))
6.0ms
(* (/ x y) z)

series28.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
6.0ms
(/ y (+ x 4.0))
5.0ms
(/ 1 (/ y (+ x 4.0)))
5.0ms
(* (/ x y) z)

simplify74.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06411178
13132951
25002945

prune178.0ms

Filtered
102 candidates to 186 candidates (-82.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1860186
Fresh055
Picked011
Done000
Total1866192

Merged error: 0.0b

Counts
192 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (/ x y) z)
9.4b
(cbrt (* (/ x y) z))
9.4b
(cbrt (* (/ x y) z))
9.4b
(cbrt (* (/ x y) z))

rewrite19.0ms

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))

series68.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ x y) z)
19.0ms
(cbrt (* (/ x y) z))
22.0ms
(cbrt (* (/ x y) z))
21.0ms
(cbrt (* (/ x y) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0232371
1788335
23209283
35001279

prune102.0ms

Filtered
55 candidates to 74 candidates (-34.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done011
Total74680

Merged error: 0.0b

Counts
80 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
8.0b
(cbrt (/ x y))
8.0b
(cbrt (/ x y))
8.0b
(cbrt (/ x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
14.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series46.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
15.0ms
(cbrt (/ x y))
13.0ms
(cbrt (/ x y))
13.0ms
(cbrt (/ x y))

simplify71.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0278774
1864652
23262601
35001545

prune108.0ms

Filtered
74 candidates to 107 candidates (-44.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done022
Total1076113

Merged error: 0.0b

Counts
113 → 6

regimes195.0ms

Accuracy

63.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.6b

bsearch314.0ms

Steps
ItersRangePoint
8
1.3945617142632927e-78
1.4048941852743596e-75
1.7809530343282866e-76
9
-3.1764045102424793e+143
-1.1521796967227085e+135
-1.1720845868341872e+135

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

analyze340.0ms

Algorithm
search

sample517.0ms

Algorithm
intervals
Results
291.0ms8000×body80valid
43.0ms1223×body80invalid

Profiling

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