Details

Time bar (total: 2.1s)

sample18.0ms

Algorithm
intervals
Results
7.0ms314×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: 11.2b

localize9.0ms

Local error

Found 1 expressions with local error:

11.0b
(/ (* a1 a2) (* b1 b2))

rewrite7.0ms

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))

series28.0ms

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

simplify29.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0162132
193897
2500197

prune47.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

4.6b
(/ (* a1 a2) b1)
6.8b
(/ (/ (* a1 a2) b1) b2)

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

series48.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* a1 a2) b1)
27.0ms
(/ (/ (* a1 a2) b1) b2)

simplify36.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0305406
11333361
25002361

prune156.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ 1 (/ b2 (/ (* a1 a2) b1)))
4.6b
(/ (* a1 a2) b1)
6.5b
(/ b2 (/ (* a1 a2) b1))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
51×add-exp-log
36×associate-/r*
31×add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
7×associate-/l*
6×associate-/r/
5×prod-exp
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
3 → 211
Calls
3 calls:
10.0ms
(/ 1 (/ b2 (/ (* a1 a2) b1)))
5.0ms
(/ (* a1 a2) b1)
6.0ms
(/ b2 (/ (* a1 a2) b1))

series76.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ 1 (/ b2 (/ (* a1 a2) b1)))
18.0ms
(/ (* a1 a2) b1)
32.0ms
(/ b2 (/ (* a1 a2) b1))

simplify84.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07311627
138461423
250031290

prune349.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

5.6b
(/ (* a1 a2) b2)
6.2b
(/ (/ (* a1 a2) b2) b1)

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

series48.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* a1 a2) b2)
30.0ms
(/ (/ (* a1 a2) b2) b1)

simplify37.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0304406
11356361
25001361

prune150.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes403.0ms

Accuracy

54.4% (5.2b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 11.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02826
12826

end0.0ms

sample471.0ms

Algorithm
intervals
Results
231.0ms9953×body80valid