Details

Time bar (total: 1.5m)

sample30.0ms

Algorithm
intervals
Results
21.0ms310×body80valid

simplify53.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
53.0ms
(/ (* a1 a2) (* b1 b2))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize10.0ms

Local error

Found 1 expressions with local error:

8.7b
(/ (* a1 a2) (* b1 b2))

rewrite16.0ms

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
16.0ms
(/ (* a1 a2) (* b1 b2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
31.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.2s

Counts
13 → 27
Calls
13 calls:
Slowest
803.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
681.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
673.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
536.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
112.0ms
(- (log (* a1 a2)) (+ (log b1) (log b2)))

prune260.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

5.6b
(/ (/ (* a1 a2) b1) b2)
4.2b
(/ (* a1 a2) b1)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 75
Calls
2 calls:
Slowest
21.0ms
(/ (/ (* a1 a2) b1) b2)
10.0ms
(/ (* a1 a2) b1)

series72.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
37.0ms
(/ (* a1 a2) b1)
35.0ms
(/ (/ (* a1 a2) b1) b2)

simplify4.3s

Counts
75 → 81
Calls
75 calls:
Slowest
421.0ms
(/ (sqrt (/ (* a1 a2) b1)) (sqrt b2))
417.0ms
(/ (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
385.0ms
(/ (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
235.0ms
(- (- (+ (log a1) (log a2)) (log b1)) (log b2))
231.0ms
(- (log (/ (* a1 a2) b1)) (log b2))

prune742.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (/ (/ a1 (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1))) (/ (/ a2 (cbrt b1)) (cbrt b2)))
1.6b
(/ (/ a2 (cbrt b1)) (cbrt b2))
0.6b
(cbrt b1)
0.6b
(cbrt b1)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
518×times-frac
293×add-sqr-sqrt
269×*-un-lft-identity add-cube-cbrt
263×cbrt-prod
136×associate-*r*
117×add-exp-log
63×add-cbrt-cube
54×cbrt-undiv div-exp
36×prod-exp cbrt-unprod
22×associate-/l*
17×div-inv
11×associate-*l*
7×unswap-sqr
6×pow1 associate-/r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 417
Calls
4 calls:
Slowest
81.0ms
(* (/ (/ a1 (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1))) (/ (/ a2 (cbrt b1)) (cbrt b2)))
9.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)

series813.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
284.0ms
(cbrt b1)
246.0ms
(cbrt b1)
183.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
100.0ms
(* (/ (/ a1 (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

simplify40.4s

Counts
519 → 429
Calls
519 calls:
Slowest
1.4s
(* (/ (* (* (/ a1 (* (cbrt b2) (cbrt b1))) (/ a1 (* (cbrt b2) (cbrt b1)))) (/ a1 (* (cbrt b2) (cbrt b1)))) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (* (* (/ (/ a2 (cbrt b1)) (cbrt b2)) (/ (/ a2 (cbrt b1)) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2))))
1.4s
(* (/ (* (* (/ a1 (* (cbrt b2) (cbrt b1))) (/ a1 (* (cbrt b2) (cbrt b1)))) (/ a1 (* (cbrt b2) (cbrt b1)))) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (/ (/ (* (* a2 a2) a2) b1) b2))
1.3s
(* (/ (/ (* (* a1 a1) a1) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (* (* (/ (/ a2 (cbrt b1)) (cbrt b2)) (/ (/ a2 (cbrt b1)) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2))))
1.2s
(* (/ (* (* (/ a1 (* (cbrt b2) (cbrt b1))) (/ a1 (* (cbrt b2) (cbrt b1)))) (/ a1 (* (cbrt b2) (cbrt b1)))) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (/ (* (* (/ a2 (cbrt b1)) (/ a2 (cbrt b1))) (/ a2 (cbrt b1))) b2))
1.1s
(* (/ (/ (* (* a1 a1) a1) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (/ (* (* (/ a2 (cbrt b1)) (/ a2 (cbrt b1))) (/ a2 (cbrt b1))) b2))

prune5.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (/ (/ a1 (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1))) (/ a2 (* (cbrt b2) (cbrt b1))))
0.6b
(cbrt b1)
0.6b
(cbrt b1)
0.6b
(cbrt b1)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
68×add-cbrt-cube
44×cbrt-undiv div-exp
43×prod-exp cbrt-unprod
14×add-sqr-sqrt
13×times-frac
12×*-un-lft-identity add-cube-cbrt
11×associate-*l*
9×cbrt-prod
7×associate-*r*
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative unswap-sqr
Counts
4 → 118
Calls
4 calls:
Slowest
86.0ms
(* (/ (/ a1 (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1))) (/ a2 (* (cbrt b2) (cbrt b1))))
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)

series898.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
275.0ms
(cbrt b1)
268.0ms
(cbrt b1)
248.0ms
(cbrt b1)
107.0ms
(* (/ (/ a1 (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1))) (/ a2 (* (cbrt b2) (cbrt b1))))

simplify31.4s

Counts
87 → 130
Calls
87 calls:
Slowest
1.9s
(* (/ (/ (* (* a1 a1) a1) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (/ (* (* a2 a2) a2) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))))
1.8s
(* (/ (* (* (/ a1 (* (cbrt b2) (cbrt b1))) (/ a1 (* (cbrt b2) (cbrt b1)))) (/ a1 (* (cbrt b2) (cbrt b1)))) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (/ (* (* a2 a2) a2) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))))
1.6s
(* (/ (/ (* (* a1 a1) a1) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (* (* (/ a2 (* (cbrt b2) (cbrt b1))) (/ a2 (* (cbrt b2) (cbrt b1)))) (/ a2 (* (cbrt b2) (cbrt b1)))))
1.4s
(* (/ (* (* (/ a1 (* (cbrt b2) (cbrt b1))) (/ a1 (* (cbrt b2) (cbrt b1)))) (/ a1 (* (cbrt b2) (cbrt b1)))) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (* (* (/ a2 (* (cbrt b2) (cbrt b1))) (/ a2 (* (cbrt b2) (cbrt b1)))) (/ a2 (* (cbrt b2) (cbrt b1)))))
1.3s
(* (/ (/ (* (* a1 a1) a1) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (* (* (* (cbrt b2) (cbrt b1)) (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1)))) (/ (* (* a2 a2) a2) (* b2 b1)))

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes645.0ms

Accuracy

14% (4.7b remaining)

Error of 4.7b against oracle of 0.0b and baseline of 5.5b

bsearch14.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
929.0ms9985×body80valid