Details

Time bar (total: 8.0s)

sample53.0ms

Algorithm
intervals
Results
38.0ms315×body80valid

simplify33.0ms

Calls
1 calls:
Slowest
33.0ms
(/ (* a1 a2) (* b1 b2))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize14.0ms

Local error

Found 1 expressions with local error:

10.0b
(/ (* a1 a2) (* b1 b2))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-cbrt-cube add-exp-log
1×add-sqr-sqrt expm1-log1p-u pow1 cbrt-undiv clear-num associate-/r* frac-2neg *-un-lft-identity times-frac div-exp add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Calls
1 calls:
Slowest
8.0ms
(/ (* a1 a2) (* b1 b2))

series41.0ms

Calls
1 calls:
Slowest
41.0ms
(/ (* a1 a2) (* b1 b2))

simplify662.0ms

Calls
7 calls:
Slowest
415.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
75.0ms
(- (log (* a1 a2)) (log (* b1 b2)))
62.0ms
(/ (* a1 a2) (* b2 b1))
61.0ms
(/ (* a1 a2) (* b2 b1))
42.0ms
(/ (* a1 a2) (* b2 b1))

prune221.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

9.9b
(/ (* b1 b2) (* a1 a2))
0.5b
(/ 1 (/ (* b1 b2) (* a1 a2)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log
6×associate-/r*
4×add-cbrt-cube
3×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt div-inv
2×expm1-log1p-u rec-exp clear-num frac-2neg times-frac div-exp insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv associate-/r/ pow-flip associate-/l* inv-pow
Calls
2 calls:
Slowest
6.0ms
(/ (* b1 b2) (* a1 a2))
2.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))

series70.0ms

Calls
2 calls:
Slowest
39.0ms
(/ 1 (/ (* b1 b2) (* a1 a2)))
31.0ms
(/ (* b1 b2) (* a1 a2))

simplify1.1s

Calls
17 calls:
Slowest
396.0ms
(/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* (* a1 a2) (* a1 a2)) (* a1 a2)))
102.0ms
(- (log (* b1 b2)) (log (* a1 a2)))
100.0ms
(cbrt (/ (* b1 b2) (* a1 a2)))
71.0ms
(sqrt (/ (* b1 b2) (* a1 a2)))
65.0ms
(/ (* b2 b1) (* a1 a2))

prune528.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

5.5b
(/ (* a1 a2) b2)
5.2b
(/ b1 (/ (* a1 a2) b2))
0.5b
(/ 1 (/ b1 (/ (* a1 a2) b2)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×associate-/r*
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt div-inv
4×pow1 add-exp-log
3×expm1-log1p-u clear-num frac-2neg add-cbrt-cube associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×rec-exp pow-flip associate-/l* inv-pow
Calls
3 calls:
Slowest
3.0ms
(/ (* a1 a2) b2)
1.0ms
(/ 1 (/ b1 (/ (* a1 a2) b2)))
0.0ms
(/ b1 (/ (* a1 a2) b2))

series64.0ms

Calls
3 calls:
Slowest
24.0ms
(/ 1 (/ b1 (/ (* a1 a2) b2)))
24.0ms
(/ b1 (/ (* a1 a2) b2))
16.0ms
(/ (* a1 a2) b2)

simplify707.0ms

Calls
19 calls:
Slowest
105.0ms
(/ 1 (/ (* a1 a2) b2))
85.0ms
(cbrt (/ b1 (/ (* a1 a2) b2)))
75.0ms
(/ b1 (/ (* a1 a2) b2))
70.0ms
(sqrt (/ b1 (/ (* a1 a2) b2)))
47.0ms
(/ (* b2 b1) (* a1 a2))

prune676.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

5.5b
(/ (* a1 a2) b2)
5.5b
(* (/ 1 b1) (/ (* a1 a2) b2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
3×div-inv
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod associate-/l*
Calls
2 calls:
Slowest
5.0ms
(* (/ 1 b1) (/ (* a1 a2) b2))
4.0ms
(/ (* a1 a2) b2)

series40.0ms

Calls
2 calls:
Slowest
26.0ms
(* (/ 1 b1) (/ (* a1 a2) b2))
13.0ms
(/ (* a1 a2) b2)

simplify1.2s

Calls
18 calls:
Slowest
329.0ms
(* (/ 1 b1) (/ (* a1 a2) b2))
232.0ms
(+ (log (/ 1 b1)) (log (/ (* a1 a2) b2)))
176.0ms
(* (* (* (/ 1 b1) (/ 1 b1)) (/ 1 b1)) (* (* (/ (* a1 a2) b2) (/ (* a1 a2) b2)) (/ (* a1 a2) b2)))
77.0ms
(* 1 (/ (* a1 a2) b2))
61.0ms
(/ (* a1 a2) (* b2 b1))

prune410.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes597.0ms

Accuracy

38.8% (7.0b remaining)

Error of 7.0b against oracle of 0.0b and baseline of 11.5b

bsearch15.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s9995×body80valid