Details

Time bar (total: 1.8s)

sample22.0ms

Algorithm
intervals
Results
7.0ms297×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950023

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
13.7b
(/ (* x (+ y z)) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
5.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
9.0ms
(/ (* x (+ y z)) z)

simplify35.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0226206
11099177
25001177

prune70.0ms

Filtered
35 candidates to 52 candidates (-48.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New44852
Fresh000
Picked101
Done000
Total45853

Merged error: 0.0b

Counts
53 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.5b
(/ x (/ z (+ y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
5.0ms
(/ z (+ y z))
8.0ms
(/ x (/ z (+ y z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ z (+ y z))
10.0ms
(/ x (/ z (+ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413869
11890835
25001832

prune106.0ms

Filtered
91 candidates to 129 candidates (-41.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1272129
Fresh437
Picked101
Done000
Total1325137

Merged error: 0b

Counts
137 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ y z))
0.2b
(/ 1 (/ (/ z (+ y z)) x))
2.5b
(/ (/ z (+ y z)) x)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
648×times-frac
398×*-un-lft-identity
294×add-sqr-sqrt add-cube-cbrt
65×associate-/r*
52×distribute-lft-out
35×associate-/r/
31×add-exp-log
24×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 383
Calls
3 calls:
5.0ms
(/ z (+ y z))
16.0ms
(/ 1 (/ (/ z (+ y z)) x))
8.0ms
(/ (/ z (+ y z)) x)

series24.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ z (+ y z))
8.0ms
(/ 1 (/ (/ z (+ y z)) x))
10.0ms
(/ (/ z (+ y z)) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
392 → 392
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012063744
150013334

prune264.0ms

Filtered
237 candidates to 392 candidates (-65.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3920392
Fresh044
Picked011
Done000
Total3925397

Merged error: 0b

Counts
397 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.9b
(* x (/ (+ y z) z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
5.0ms
(/ (+ y z) z)
8.0ms
(* x (/ (+ y z) z))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ y z) z)
9.0ms
(* x (/ (+ y z) z))

simplify83.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23948313
35001313

prune49.0ms

Filtered
49 candidates to 74 candidates (-51.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done011
Total74579

Merged error: 0b

Counts
79 → 5

regimes169.0ms

Accuracy

9% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.0b

bsearch75.0ms

Steps
ItersRangePoint
7
1.8525593896832695e-118
8.287193455834478e-117
8.152428061609492e-117
9
5.383509302143502e-227
2.0777615768076652e-221
2.794678910478967e-226
10
8.092988517653783e-276
2.753655882223894e-258
2.78631146471272e-263
6
-6.473929932612392e-97
-6.474493949306348e-98
-1.2929078059782837e-97

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03416
13416

end0.0ms

sample551.0ms

Algorithm
intervals
Results
250.0ms9603×body80valid

Profiling

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