Details

Time bar (total: 1.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms314×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: 11.7b

localize5.0ms

Local error

Found 1 expressions with local error:

11.2b
(/ (* 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))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (* a1 a2) (* b1 b2))

simplify28.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune49.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* b1 b2) a2)
5.7b
(/ a1 (/ (* b1 b2) a2))

rewrite13.0ms

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:
3.0ms
(/ (* b1 b2) a2)
8.0ms
(/ a1 (/ (* b1 b2) a2))

series49.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (* b1 b2) a2)
31.0ms
(/ a1 (/ (* b1 b2) a2))

simplify36.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0296411
11413367
25001364

prune166.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

5.8b
(* (/ a1 (* b1 b2)) a2)
6.1b
(/ a1 (* b1 b2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*l*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*r* associate-/l*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
10.0ms
(* (/ a1 (* b1 b2)) a2)
3.0ms
(/ a1 (* b1 b2))

series51.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (/ a1 (* b1 b2)) a2)
21.0ms
(/ a1 (* b1 b2))

simplify30.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0205242
1954198
25001198

prune111.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

5.3b
(* (/ 1 b1) (/ a1 b2))
5.8b
(* (* (/ 1 b1) (/ a1 b2)) a2)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
34×add-sqr-sqrt
32×add-cbrt-cube
25×times-frac prod-exp
19×*-un-lft-identity
17×add-cube-cbrt
16×div-exp associate-*r*
14×associate-*l*
13×cbrt-unprod
9×pow1
8×cbrt-undiv
6×unswap-sqr
5×associate-*l/
4×rec-exp 1-exp pow-prod-down
2×expm1-log1p-u frac-times associate-*r/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
2 → 91
Calls
2 calls:
13.0ms
(* (/ 1 b1) (/ a1 b2))
20.0ms
(* (* (/ 1 b1) (/ a1 b2)) a2)

series53.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (/ 1 b1) (/ a1 b2))
34.0ms
(* (* (/ 1 b1) (/ a1 b2)) a2)

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0452508
12083393
25002387

prune154.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes341.0ms

Accuracy

74.2% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 11.2b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02827
13127
23718
34018
44618
55718
66418
76518
86518

end0.0ms

sample460.0ms

Algorithm
intervals
Results
224.0ms10023×body80valid