Details

Time bar (total: 5.3s)

sample1.4s

Algorithm
intervals
sampling

Space saved by range analysis: 3.606467%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
7.0ms256×body80valid
1.0ms52×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.5b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
5.0ms
(/ (* a1 a2) (* b1 b2))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (* a1 a2) (* b1 b2))

simplify26.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0160124
193689
2500189

prune48.0ms

Filtered
13 candidates to 24 candidates (-84.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New17724
Fresh000
Picked101
Done000
Total18725

Merged error: 0.0b

Counts
25 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1 (* b1 b2))
7.8b
(* (* a1 a2) (/ 1 (* b1 b2)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
30×prod-exp
28×add-cbrt-cube
12×div-exp cbrt-unprod
10×pow1
7×associate-*r*
6×cbrt-undiv add-sqr-sqrt add-cube-cbrt rec-exp *-un-lft-identity times-frac 1-exp
4×pow-prod-down
3×associate-/l*
2×pow-flip div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num associate-/r* un-div-inv *-commutative inv-pow
Counts
2 → 68
Calls
2 calls:
4.0ms
(/ 1 (* b1 b2))
8.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (* b1 b2))
8.0ms
(* (* a1 a2) (/ 1 (* b1 b2)))

simplify38.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0295334
11496253
25001228

prune68.0ms

Filtered
28 candidates to 74 candidates (-164.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New71374
Fresh156
Picked101
Done000
Total73881

Merged error: 0.0b

Counts
81 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 b1) b2)
7.8b
(* (* a1 a2) (/ (/ 1 b1) b2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
79×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×add-exp-log
43×associate-*r*
28×add-cbrt-cube
18×div-exp
15×prod-exp
13×associate-/l*
9×cbrt-undiv cbrt-unprod div-inv
7×pow1
3×rec-exp 1-exp pow-prod-down associate-/r*
2×add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/
Counts
2 → 143
Calls
2 calls:
6.0ms
(/ (/ 1 b1) b2)
13.0ms
(* (* a1 a2) (/ (/ 1 b1) b2))

series11.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ (/ 1 b1) b2)
8.0ms
(* (* a1 a2) (/ (/ 1 b1) b2))

simplify76.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0663929
13465792
25001703

prune145.0ms

Filtered
83 candidates to 149 candidates (-79.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1472149
Fresh077
Picked011
Done000
Total14710157

Merged error: 0.0b

Counts
157 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b2)
0.6b
(cbrt b2)
1.5b
(* (/ (* a1 a2) (* (* (cbrt b2) (cbrt b2)) (* (cbrt b1) (cbrt b1)))) (/ (/ 1 (cbrt b1)) (cbrt b2)))
3.3b
(/ (* a1 a2) (* (* (cbrt b2) (cbrt b2)) (* (cbrt b1) (cbrt b1))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
365×add-exp-log
260×times-frac
181×prod-exp
166×add-sqr-sqrt
140×add-cbrt-cube
136×associate-*r*
135×cbrt-prod
134×*-un-lft-identity
130×add-cube-cbrt
126×div-exp
117×cbrt-unprod
73×cbrt-undiv
11×rec-exp 1-exp unswap-sqr
9×div-inv
6×pow1
5×associate-*l*
4×add-log-exp
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 307
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
56.0ms
(* (/ (* a1 a2) (* (* (cbrt b2) (cbrt b2)) (* (cbrt b1) (cbrt b1)))) (/ (/ 1 (cbrt b1)) (cbrt b2)))
16.0ms
(/ (* a1 a2) (* (* (cbrt b2) (cbrt b2)) (* (cbrt b1) (cbrt b1))))

series108.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt b2)
22.0ms
(cbrt b2)
14.0ms
(* (/ (* a1 a2) (* (* (cbrt b2) (cbrt b2)) (* (cbrt b1) (cbrt b1)))) (/ (/ 1 (cbrt b1)) (cbrt b2)))
49.0ms
(/ (* a1 a2) (* (* (cbrt b2) (cbrt b2)) (* (cbrt b1) (cbrt b1))))

simplify73.0ms

Algorithm
egg-herbie
Counts
319 → 319
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
020445409
150024863

prune329.0ms

Filtered
223 candidates to 319 candidates (-43.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3181319
Fresh178
Picked011
Done011
Total31910329

Merged error: 0.0b

Counts
329 → 10

regimes692.0ms

Accuracy

40.7% (4.8b remaining)

Error of 4.8b against oracle of 0.0b and baseline of 8.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04027
14027

end0.0ms

sample2.1s

Algorithm
intervals
sampling

Space saved by range analysis: 3.606467%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
224.0ms8000×body80valid
53.0ms1666×body80invalid

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