Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms304×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950013

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: 13.9b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
13.1b
(/ (* x (+ y z)) z)

rewrite16.0ms

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:
8.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series57.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* x (+ y z))
33.0ms
(/ (* x (+ y z)) z)

simplify34.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune85.0ms

Filtered
52 candidates to 35 candidates (67.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0b

Counts
53 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.1b
(/ x (/ z (+ y z)))

rewrite18.0ms

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)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ z (+ y z))
45.0ms
(/ x (/ z (+ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413869
11890835
25002832

prune201.0ms

Filtered
129 candidates to 92 candidates (71.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1281129
Fresh145
Picked101
Done000
Total1305135

Merged error: 0b

Counts
135 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.4b
(* x (/ (+ y z) z))

rewrite19.0ms

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:
8.0ms
(/ (+ y z) z)
9.0ms
(* x (/ (+ y z) z))

series50.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ (+ y z) z)
34.0ms
(* x (/ (+ y z) z))

simplify86.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23962313
35001313

prune100.0ms

Filtered
74 candidates to 48 candidates (64.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done000
Total74579

Merged error: 0b

Counts
79 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
8.2b
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y z) (cbrt z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×*-un-lft-identity
34×times-frac
28×associate-*r*
25×add-exp-log
24×add-cube-cbrt
23×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
17.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y z) (cbrt z)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt z)
180.0ms
(cbrt z)
174.0ms
(cbrt z)
75.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y z) (cbrt z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0449845
12450681
25003646

prune218.0ms

Filtered
110 candidates to 83 candidates (75.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done011
Total1105115

Merged error: 0b

Counts
115 → 5

regimes93.0ms

Accuracy

5.4% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.2b

bsearch44.0ms

Steps
ItersRangePoint
5
1.4876532075433453e-43
5.521319545925935e-43
4.361961680550125e-43
6
-1.1774327320534708e-213
-2.379851504051356e-214
-4.722008363504987e-214

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0257
1257

end0.0ms

sample459.0ms

Algorithm
intervals
Results
251.0ms9624×body80valid

Profiling

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