Details

Time bar (total: 1.7s)

sample18.0ms

Algorithm
intervals
Results
6.0ms296×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: 10.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:
15.0ms
(/ (* a1 a2) (* b1 b2))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune47.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

3.5b
(/ (* b1 b2) a2)
6.5b
(/ a1 (/ (* b1 b2) a2))

rewrite21.0ms

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:
9.0ms
(/ (* b1 b2) a2)
9.0ms
(/ a1 (/ (* b1 b2) a2))

series46.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ (* b1 b2) a2)
30.0ms
(/ a1 (/ (* b1 b2) a2))

simplify36.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0296411
11413367
25001364

prune156.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

3.6b
(/ a2 (* b1 b2))
6.3b
(* a1 (/ a2 (* b1 b2)))

rewrite31.0ms

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:
7.0ms
(/ a2 (* b1 b2))
22.0ms
(* a1 (/ a2 (* b1 b2)))

series42.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ a2 (* b1 b2))
24.0ms
(* a1 (/ a2 (* b1 b2)))

simplify32.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0197241
1945198
25001198

prune108.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (* b1 b2) (* a1 a2)))
9.8b
(/ (* b1 b2) (* a1 a2))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
32×add-cbrt-cube
26×div-exp
20×times-frac
16×prod-exp
13×cbrt-undiv
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-unprod
6×associate-/r* div-inv
5×rec-exp 1-exp
4×associate-/l*
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 81
Calls
2 calls:
18.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
15.0ms
(/ (* b1 b2) (* a1 a2))

series55.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
24.0ms
(/ (* b1 b2) (* a1 a2))

simplify46.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0326524
11820428
25001403

prune95.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes318.0ms

Accuracy

36.2% (7.3b remaining)

Error of 7.3b against oracle of 0.0b and baseline of 11.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03321
13321

end0.0ms

sample545.0ms

Algorithm
intervals
Results
213.0ms9957×body80valid