Details

Time bar (total: 2.8m)

sample34.0ms

Algorithm
intervals
Results
24.0ms318×body80valid

simplify31.0ms

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

prune5.0ms

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))

rewrite22.0ms

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 expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
Slowest
21.0ms
(/ (* a1 a2) (* b1 b2))

series47.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
47.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.3s

Counts
13 → 27
Calls
13 calls:
Slowest
742.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
691.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
691.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
592.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
131.0ms
(- (log (* a1 a2)) (+ (log b1) (log b2)))

prune315.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 83
Calls
2 calls:
Slowest
28.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
28.0ms
(/ (* b1 b2) (* a1 a2))

series88.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
45.0ms
(/ (* b1 b2) (* a1 a2))
43.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))

simplify13.7s

Counts
70 → 89
Calls
70 calls:
Slowest
1.1s
(/ (* (* 1 1) 1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a1) a1) (* (* a2 a2) a2))))
996.0ms
(/ (* (* 1 1) 1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2))))
856.0ms
(/ (* (* 1 1) 1) (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2))))
823.0ms
(/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2)))
661.0ms
(/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2)))

prune823.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite55.0ms

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×expm1-log1p-u clear-num frac-2neg cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
3 → 210
Calls
3 calls:
Slowest
21.0ms
(/ (/ (* b1 b2) a1) a2)
17.0ms
(/ (* b1 b2) a1)
13.0ms
(/ 1 (/ (/ (* b1 b2) a1) a2))

series105.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
41.0ms
(/ 1 (/ (/ (* b1 b2) a1) a2))
36.0ms
(/ (/ (* b1 b2) a1) a2)
29.0ms
(/ (* b1 b2) a1)

simplify26.5s

Counts
268 → 219
Calls
268 calls:
Slowest
482.0ms
(/ (* (* 1 1) 1) (/ (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* a1 a1) a1)) (* (* a2 a2) a2)))
441.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* b1 b2) (* (cbrt a2) (cbrt a2))))
422.0ms
(/ (sqrt 1) (/ (/ b1 (* (cbrt a1) (cbrt a1))) (* (cbrt a2) (cbrt a2))))
418.0ms
(/ (* (* 1 1) 1) (/ (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* a1 a1) a1)) (* (* a2 a2) a2)))
414.0ms
(/ 1 (/ (/ (* b1 b2) a1) (sqrt a2)))

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

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))

rewrite65.0ms

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×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 523
Calls
3 calls:
Slowest
17.0ms
(/ (/ 1 (/ (* b1 b2) a1)) (/ 1 a2))
13.0ms
(/ (* b1 b2) a1)
10.0ms
(/ 1 (/ (* b1 b2) a1))

series122.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
57.0ms
(/ (/ 1 (/ (* b1 b2) a1)) (/ 1 a2))
39.0ms
(/ 1 (/ (* b1 b2) a1))
26.0ms
(/ (* b1 b2) a1)

simplify1.9m

Counts
843 → 532
Calls
843 calls:
Slowest
705.0ms
(/ (/ (cbrt 1) (/ (* b1 b2) a1)) (/ (sqrt 1) (sqrt a2)))
602.0ms
(/ (/ (cbrt 1) (/ (* b1 b2) a1)) (/ (cbrt 1) a2))
600.0ms
(/ (/ (cbrt 1) (/ (* b1 b2) a1)) (/ (sqrt 1) (cbrt a2)))
584.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (* b1 b2) a1)) (cbrt (/ (* b1 b2) a1)))) (/ 1 (* (cbrt a2) (cbrt a2))))
550.0ms
(- (- (log 1) (- (log (* b1 b2)) (log a1))) (- (log 1) (log a2)))

prune3.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes432.0ms

Accuracy

72.6% (3.2b remaining)

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

bsearch11.0ms

end0.0ms

sample753.0ms

Algorithm
intervals
Results
551.0ms9968×body80valid