Details

Time bar (total: 2.7m)

sample39.0ms

Algorithm
intervals
Results
24.0ms334×body80valid

simplify55.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
54.0ms
(/ (* a1 a2) (* b1 b2))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize9.0ms

Local error

Found 1 expressions with local error:

12.6b
(/ (* a1 a2) (* b1 b2))

rewrite26.0ms

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
26.0ms
(/ (* a1 a2) (* b1 b2))

series31.0ms

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

simplify4.3s

Counts
27 → 25
Calls
27 calls:
Slowest
820.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
696.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
638.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
520.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
231.0ms
(* (* (/ (* a1 a2) (* b1 b2)) (/ (* a1 a2) (* b1 b2))) (/ (* a1 a2) (* b1 b2)))

prune244.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

8.4b
(/ (/ (* a1 a2) b1) b2)
3.6b
(/ (* a1 a2) b1)

rewrite42.0ms

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×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
1×associate-/l/
Counts
2 → 71
Calls
2 calls:
Slowest
20.0ms
(/ (/ (* a1 a2) b1) b2)
16.0ms
(/ (* a1 a2) b1)

series64.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
34.0ms
(/ (/ (* a1 a2) b1) b2)
30.0ms
(/ (* a1 a2) b1)

simplify5.8s

Counts
103 → 77
Calls
103 calls:
Slowest
363.0ms
(/ (/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
338.0ms
(/ (/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* b1 b1) b1)) (* (* b2 b2) b2))
263.0ms
(log (/ (/ (* a1 a2) b1) b2))
240.0ms
(* (* (/ (* a1 a2) b1) (/ (* a1 a2) b1)) (/ (* a1 a2) b1))
237.0ms
(- (log (/ (* a1 a2) b1)) (log b2))

prune742.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (/ (/ a1 (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1))) (/ (/ a2 (cbrt b1)) (cbrt b2)))
2.3b
(/ (/ a2 (cbrt b1)) (cbrt b2))
0.6b
(cbrt b1)
0.6b
(cbrt b1)

rewrite102.0ms

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×insert-posit16 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 → 409
Calls
4 calls:
Slowest
66.0ms
(* (/ (/ a1 (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1))) (/ (/ a2 (cbrt b1)) (cbrt b2)))
16.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
603.0ms
(cbrt b1)
284.0ms
(cbrt b1)
148.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
104.0ms
(* (/ (/ a1 (* (cbrt b2) (cbrt b1))) (* (cbrt b2) (cbrt b1))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

simplify1.6m

Counts
565 → 421
Calls
565 calls:
Slowest
1.7s
(* (/ (* (* (/ 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 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))))
1.3s
(* (/ (/ (* (* 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)) (/ a2 (cbrt b1))) (/ a2 (cbrt b1))) b2))
1.1s
(* (/ (* (* (/ 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))
1.1s
(* (/ (/ (* (* 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 a2) a2) b1) b2))

prune5.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

2.9b
(/ (/ (/ a1 (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2))) (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2))))
0.6b
(cbrt b1)
0.6b
(cbrt b1)
0.6b
(cbrt b1)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
205×add-exp-log
113×cbrt-undiv div-exp
99×add-cbrt-cube
53×prod-exp cbrt-unprod
31×times-frac
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
11×associate-/l*
9×cbrt-prod
5×div-inv
4×pow1 insert-posit16 add-log-exp
3×pow1/3 associate-/r/
1×frac-times clear-num associate-/r* frac-2neg associate-*l/ associate-*r/ associate-/l/
Counts
4 → 144
Calls
4 calls:
Slowest
59.0ms
(/ (/ (/ a1 (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2))) (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2))))
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)
1.0ms
(cbrt b1)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
353.0ms
(/ (/ (/ a1 (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2))) (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2))))
318.0ms
(cbrt b1)
293.0ms
(cbrt b1)
266.0ms
(cbrt b1)

simplify45.9s

Counts
174 → 156
Calls
174 calls:
Slowest
1.5s
(/ (/ (/ (* (* a1 a1) a1) (* (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2)))) (* (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2)))) (* (* (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2))) (/ (cbrt (cbrt b2)) (cbrt a2))) (* (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2))) (/ (cbrt (cbrt b2)) (cbrt a2)))))
1.4s
(/ (/ (/ (* (* a1 a1) a1) (* (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2)))) (* (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2)))) (* (/ (cbrt b2) a2) (* (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2))) (/ (cbrt (cbrt b2)) (cbrt a2)))))
1.4s
(/ (/ (/ (* (* a1 a1) a1) (* (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2)))) (* (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2)))) (* (* (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2))) (/ (cbrt (cbrt b2)) (cbrt a2))) (/ (cbrt b2) a2)))
1.1s
(/ (/ (/ (* (* a1 a1) a1) (* (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2)))) (* (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2)))) (* (* (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2))) (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2)))) (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2)))))
1.1s
(/ (/ (* (* (/ a1 (* (cbrt b1) (cbrt b2))) (/ a1 (* (cbrt b1) (cbrt b2)))) (/ a1 (* (cbrt b1) (cbrt b2)))) (* (* (* (cbrt b1) (cbrt b2)) (* (cbrt b1) (cbrt b2))) (* (cbrt b1) (cbrt b2)))) (* (* (* (/ (cbrt (cbrt b2)) (cbrt a2)) (/ (cbrt (cbrt b2)) (cbrt a2))) (/ (cbrt (cbrt b2)) (cbrt a2))) (/ (cbrt b2) a2)))

prune1.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes478.0ms

Accuracy

57.9% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 4.6b

bsearch10.0ms

end0.0ms

sample889.0ms

Algorithm
intervals
Results
663.0ms10091×body80valid