Details

Time bar (total: 1.9s)

sample18.0ms

Algorithm
intervals
Results
7.0ms300×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: 12.1b

localize8.0ms

Local error

Found 1 expressions with local error:

11.8b
(/ (* a1 a2) (* b1 b2))

rewrite5.0ms

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:
4.0ms
(/ (* a1 a2) (* b1 b2))

series29.0ms

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

simplify29.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune52.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

9.8b
(* (/ a1 b1) (/ a2 b2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
13.0ms
(* (/ a1 b1) (/ a2 b2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (/ a1 b1) (/ a2 b2))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0321286
11417251
25001250

prune122.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

5.1b
(/ (/ a2 b2) b1)
5.6b
(* a1 (/ (/ a2 b2) b1))

rewrite34.0ms

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:
8.0ms
(/ (/ a2 b2) b1)
19.0ms
(* a1 (/ (/ a2 b2) b1))

series45.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ a2 b2) b1)
27.0ms
(* a1 (/ (/ a2 b2) b1))

simplify58.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0551847
12548795
25002795

prune322.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

3.9b
(* a1 (/ a2 b2))
6.2b
(/ (* a1 (/ a2 b2)) b1)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/r*
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 60
Calls
2 calls:
14.0ms
(* a1 (/ a2 b2))
9.0ms
(/ (* a1 (/ a2 b2)) b1)

series74.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* a1 (/ a2 b2))
44.0ms
(/ (* a1 (/ a2 b2)) b1)

simplify55.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0274278
11346235
25002235

prune123.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes309.0ms

Accuracy

51.9% (5.5b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 11.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03521
13521

end0.0ms

sample472.0ms

Algorithm
intervals
Results
233.0ms9981×body80valid