Details

Time bar (total: 2.8m)

sample41.0ms

Algorithm
intervals
Results
29.0ms318×body80valid

simplify44.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
44.0ms
(/ (* a1 a2) (* b1 b2))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize9.0ms

Local error

Found 1 expressions with local error:

9.4b
(/ (* a1 a2) (* b1 b2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 div-inv associate-/l* add-log-exp
Counts
1 → 22
Calls
1 calls:
Slowest
11.0ms
(/ (* a1 a2) (* b1 b2))

series55.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
55.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.3s

Counts
13 → 25
Calls
13 calls:
Slowest
828.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
649.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
631.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
569.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
126.0ms
(- (log (* a1 a2)) (+ (log b1) (log b2)))

prune240.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

9.3b
(/ (* b1 b2) (* a1 a2))
0.5b
(/ 1 (/ (* b1 b2) (* a1 a2)))

rewrite34.0ms

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 *-un-lft-identity add-cube-cbrt
8×cbrt-unprod
6×associate-/r* div-inv
5×rec-exp 1-exp
4×associate-/l*
3×pow1
2×clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 79
Calls
2 calls:
Slowest
21.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
12.0ms
(/ (* b1 b2) (* a1 a2))

series77.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
42.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
35.0ms
(/ (* b1 b2) (* a1 a2))

simplify12.9s

Counts
70 → 85
Calls
70 calls:
Slowest
903.0ms
(/ (* (* 1 1) 1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2))))
882.0ms
(/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2)))
806.0ms
(/ (* (* 1 1) 1) (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2))))
735.0ms
(/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2)))
681.0ms
(/ (* (* 1 1) 1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a1) a1) (* (* a2 a2) a2))))

prune867.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

4.6b
(/ (/ (* b1 b2) a1) a2)
4.1b
(/ (* b1 b2) a1)
0.5b
(/ 1 (/ (/ (* b1 b2) a1) a2))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
103×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
51×add-exp-log
31×associate-/r* add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
11×associate-/l*
5×prod-exp
4×pow1 rec-exp 1-exp
3×clear-num frac-2neg cbrt-unprod insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
3 → 204
Calls
3 calls:
Slowest
13.0ms
(/ (/ (* b1 b2) a1) a2)
12.0ms
(/ 1 (/ (/ (* b1 b2) a1) a2))
8.0ms
(/ (* b1 b2) a1)

series139.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
55.0ms
(/ 1 (/ (/ (* b1 b2) a1) a2))
48.0ms
(/ (/ (* b1 b2) a1) a2)
37.0ms
(/ (* b1 b2) a1)

simplify25.8s

Counts
268 → 213
Calls
268 calls:
Slowest
551.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (/ b1 (sqrt a1)) (* (cbrt a2) (cbrt a2))))
444.0ms
(/ (* (* 1 1) 1) (/ (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* a1 a1) a1)) (* (* a2 a2) a2)))
439.0ms
(/ (sqrt 1) (/ (* b1 b2) (* (cbrt a2) (cbrt a2))))
405.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* b1 b2) (* (cbrt a2) (cbrt a2))))
393.0ms
(/ (* (* 1 1) 1) (/ (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* a1 a1) a1)) (* (* a2 a2) a2)))

prune2.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

5.2b
(/ (/ 1 (/ (* b1 b2) a1)) (/ 1 a2))
4.1b
(/ (* b1 b2) a1)
0.4b
(/ 1 (/ (* b1 b2) a1))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
1037×times-frac
406×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
167×add-exp-log
122×div-exp
90×div-inv
49×add-cbrt-cube
30×associate-/l*
29×cbrt-undiv
25×rec-exp 1-exp
23×associate-/r*
16×prod-exp associate-/r/
4×pow1 cbrt-unprod
3×clear-num frac-2neg insert-posit16 add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 517
Calls
3 calls:
Slowest
24.0ms
(/ 1 (/ (* b1 b2) a1))
15.0ms
(/ (/ 1 (/ (* b1 b2) a1)) (/ 1 a2))
12.0ms
(/ (* b1 b2) a1)

series96.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
40.0ms
(/ (/ 1 (/ (* b1 b2) a1)) (/ 1 a2))
28.0ms
(/ (* b1 b2) a1)
27.0ms
(/ 1 (/ (* b1 b2) a1))

simplify1.9m

Counts
843 → 526
Calls
843 calls:
Slowest
791.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* b1 b2)) (* (cbrt (/ 1 a2)) (cbrt (/ 1 a2))))
738.0ms
(/ (/ (cbrt 1) (/ (* b1 b2) a1)) (/ (sqrt 1) (cbrt a2)))
723.0ms
(/ (* (cbrt (/ 1 (/ (* b1 b2) a1))) (cbrt (/ 1 (/ (* b1 b2) a1)))) (/ (sqrt 1) (* (cbrt a2) (cbrt a2))))
670.0ms
(/ (/ (cbrt 1) (/ (* b1 b2) a1)) (/ (sqrt 1) a2))
629.0ms
(/ (/ (sqrt 1) (/ (* b1 b2) a1)) (/ (cbrt 1) (sqrt a2)))

prune3.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes439.0ms

Accuracy

72.6% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 11.5b

bsearch11.0ms

end0.0ms

sample784.0ms

Algorithm
intervals
Results
575.0ms9968×body80valid