Details

Time bar (total: 1.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms309×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize5.0ms

Local error

Found 1 expressions with local error:

12.5b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
4.0ms
(/ (* a1 a2) (* b1 b2))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune49.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ (* b1 b2) a2)
6.1b
(/ a1 (/ (* b1 b2) a2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/r*
cbrt-undiv div-exp
div-inv
associate-/l*
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
associate-/r/
Counts
2 → 73
Calls
2 calls:
3.0ms
(/ (* b1 b2) a2)
4.0ms
(/ a1 (/ (* b1 b2) a2))

series51.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (* b1 b2) a2)
33.0ms
(/ a1 (/ (* b1 b2) a2))

simplify37.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0296411
11413367
25001364

prune168.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

5.2b
(/ a2 (* b1 b2))
6.2b
(* a1 (/ a2 (* b1 b2)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*r*
times-frac
prod-exp cbrt-unprod
pow1 cbrt-undiv div-exp
associate-*l* associate-/l*
expm1-log1p-u log1p-expm1-u div-inv add-log-exp
frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
3.0ms
(/ a2 (* b1 b2))
11.0ms
(* a1 (/ a2 (* b1 b2)))

series47.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ a2 (* b1 b2))
27.0ms
(* a1 (/ a2 (* b1 b2)))

simplify32.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0197241
1945198
25001198

prune107.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

3.7b
(/ (/ a2 b1) b2)
6.2b
(* a1 (/ (/ a2 b1) b2))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
89×add-sqr-sqrt
80×add-cube-cbrt *-un-lft-identity
43×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-/l*
div-inv
cbrt-undiv div-exp
pow1
associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ (/ a2 b1) b2)
20.0ms
(* a1 (/ (/ a2 b1) b2))

series49.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (/ a2 b1) b2)
27.0ms
(* a1 (/ (/ a2 b1) b2))

simplify60.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0550847
12549795
25001795

prune321.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes352.0ms

Accuracy

69.1% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 10.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03329
13329

end0.0ms

sample477.0ms

Algorithm
intervals
Results
234.0ms10018×body80valid