Details

Time bar (total: 1.9s)

sample96.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
7.0ms292×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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.4b
(/ (* x (+ y z)) z)

rewrite14.0ms

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:
6.0ms
(* x (+ y z))
7.0ms
(/ (* x (+ y z)) z)

series16.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
10.0ms
(/ (* x (+ y z)) z)

simplify34.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune77.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New44852
Fresh000
Picked011
Done000
Total44953

Merged error: 0.0b

Counts
53 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.7b
(/ 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)))

series16.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413869
11890835
25001832

prune110.0ms

Filtered
92 candidates to 129 candidates (-40.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1263129
Fresh437
Picked101
Done011
Total1317138

Merged error: 0b

Counts
138 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.7b
(* 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))

series16.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ y z) z)
12.0ms
(* x (/ (+ y z) z))

simplify86.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23948313
35001313

prune67.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh055
Picked011
Done011
Total74781

Merged error: 0b

Counts
81 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
4.6b
(/ (/ (* x (+ y z)) (* (cbrt z) (cbrt z))) (cbrt z))
7.0b
(/ (* x (+ y z)) (* (cbrt z) (cbrt z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×times-frac
34×add-exp-log
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×cbrt-prod
21×add-cbrt-cube
13×cbrt-undiv div-exp
9×div-inv
8×prod-exp cbrt-unprod
7×associate-/r*
6×associate-/l*
4×pow1 add-log-exp
3×associate-/l/
2×frac-2neg pow1/3 associate-*r/ clear-num
1×flip3-+ flip-+
Counts
4 → 107
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
11.0ms
(/ (/ (* x (+ y z)) (* (cbrt z) (cbrt z))) (cbrt z))
9.0ms
(/ (* x (+ y z)) (* (cbrt z) (cbrt z)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
23.0ms
(cbrt z)
14.0ms
(/ (/ (* x (+ y z)) (* (cbrt z) (cbrt z))) (cbrt z))
53.0ms
(/ (* x (+ y z)) (* (cbrt z) (cbrt z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05041164
12199998
25001966

prune96.0ms

Filtered
90 candidates to 119 candidates (-32.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh044
Picked011
Done022
Total1197126

Merged error: 0b

Counts
126 → 7

regimes275.0ms

Accuracy

47.4% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample610.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
250.0ms9540×body80valid

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