Details

Time bar (total: 2.1s)

sample19.0ms

Algorithm
intervals
Results
7.0ms309×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1373
2673
3793
4793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize8.0ms

Local error

Found 1 expressions with local error:

12.5b
(/ (* 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 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:
6.0ms
(/ (* a1 a2) (* b1 b2))

series30.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* a1 a2) (* b1 b2))

simplify31.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0162132
193897
2500197

prune53.0ms

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))

rewrite14.0ms

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*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 73
Calls
2 calls:
4.0ms
(/ (* b1 b2) a2)
6.0ms
(/ a1 (/ (* b1 b2) a2))

series55.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* b1 b2) a2)
31.0ms
(/ a1 (/ (* b1 b2) a2))

simplify40.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0296411
11413367
25001364

prune177.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
4.0ms
(/ a2 (* b1 b2))
7.0ms
(* a1 (/ a2 (* b1 b2)))

series52.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ a2 (* b1 b2))
32.0ms
(* a1 (/ a2 (* b1 b2)))

simplify33.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0197241
1945198
25001198

prune116.0ms

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))

rewrite31.0ms

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*
9×div-inv
6×cbrt-undiv div-exp
4×pow1
3×associate-*l* prod-exp associate-/r* cbrt-unprod unswap-sqr
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 139
Calls
2 calls:
6.0ms
(/ (/ a2 b1) b2)
15.0ms
(* a1 (/ (/ a2 b1) b2))

series48.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (/ a2 b1) b2)
28.0ms
(* a1 (/ (/ a2 b1) b2))

simplify62.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0550847
12549795
25001795

prune352.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes363.0ms

Accuracy

69.1% (3.4b remaining)

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

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03329
13329

end0.0ms

sample519.0ms

Algorithm
intervals
Results
246.0ms10018×body80valid