Details

Time bar (total: 2.7s)

analyze721.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms62×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0677
1677

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.9b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

11.9b
(/ (* 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))

simplify46.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05102191

prune45.0ms

Filtered
14 candidates to 24 candidates (-71.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New19524
Fresh011
Picked011
Done000
Total19726

Merged error: 0.0b

Counts
26 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.6b
(/ 1 (* b2 (/ b1 (* a1 a2))))
5.6b
(/ b1 (* a1 a2))
5.8b
(* b2 (/ b1 (* a1 a2)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
31×add-cbrt-cube
18×div-exp
17×prod-exp
12×add-sqr-sqrt
10×cbrt-undiv add-cube-cbrt *-un-lft-identity
9×times-frac cbrt-unprod
8×pow1
7×associate-*r*
6×associate-/l*
4×rec-exp 1-exp
3×associate-*l* div-inv add-log-exp
2×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num associate-/r*
1×associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 85
Calls
3 calls:
7.0ms
(/ 1 (* b2 (/ b1 (* a1 a2))))
4.0ms
(/ b1 (* a1 a2))
7.0ms
(* b2 (/ b1 (* a1 a2)))

series23.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1 (* b2 (/ b1 (* a1 a2))))
7.0ms
(/ b1 (* a1 a2))
8.0ms
(* b2 (/ b1 (* a1 a2)))

simplify35.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05032693

prune81.0ms

Filtered
50 candidates to 94 candidates (-88.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New91394
Fresh235
Picked011
Done011
Total938101

Merged error: 0.0b

Counts
101 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* a2 (/ (cbrt 1) b1))
5.0b
(* a1 (* a2 (/ (cbrt 1) b1)))
6.1b
(* (* (cbrt 1) (/ (cbrt 1) b2)) (* a1 (* a2 (/ (cbrt 1) b1))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
71×add-exp-log
54×add-cbrt-cube
42×prod-exp cbrt-unprod
31×pow1
28×add-sqr-sqrt
24×associate-*r*
21×times-frac
19×*-un-lft-identity pow-prod-down
18×add-cube-cbrt
11×cbrt-prod
10×associate-*r/
9×cbrt-undiv div-exp
7×associate-*l*
4×unswap-sqr
3×*-commutative add-log-exp
1×frac-times associate-*l/ div-inv
Counts
3 → 107
Calls
3 calls:
9.0ms
(* a2 (/ (cbrt 1) b1))
9.0ms
(* a1 (* a2 (/ (cbrt 1) b1)))
14.0ms
(* (* (cbrt 1) (/ (cbrt 1) b2)) (* a1 (* a2 (/ (cbrt 1) b1))))

series15.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(* a2 (/ (cbrt 1) b1))
5.0ms
(* a1 (* a2 (/ (cbrt 1) b1)))
8.0ms
(* (* (cbrt 1) (/ (cbrt 1) b2)) (* a1 (* a2 (/ (cbrt 1) b1))))

simplify58.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05428912

prune143.0ms

Filtered
63 candidates to 116 candidates (-84.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1133116
Fresh325
Picked101
Done022
Total1177124

Merged error: 0b

Counts
124 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

5.0b
(* (/ a2 b1) a1)
6.0b
(/ (* (/ a2 b1) a1) b2)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*r* associate-/r*
2×associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 56
Calls
2 calls:
6.0ms
(* (/ a2 b1) a1)
6.0ms
(/ (* (/ a2 b1) a1) b2)

series13.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04979439
14979439

prune47.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done022
Total62769

Merged error: 0b

Counts
69 → 7

regimes718.0ms

Accuracy

75.1% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 11.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03962
13962

end0.0ms

sample520.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid
51.0ms1744×body80invalid

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