Details

Time bar (total: 45.9s)

sample37.0ms

Algorithm
intervals
Results
25.0ms323×body80valid

simplify39.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize11.0ms

Local error

Found 1 expressions with local error:

13.6b
(/ (* a1 a2) (* b1 b2))

rewrite15.0ms

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
15.0ms
(/ (* a1 a2) (* b1 b2))

series38.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
38.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.5s

Counts
13 → 27
Calls
13 calls:
Slowest
755.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
719.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
710.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
597.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
153.0ms
(- (+ (log a1) (log a2)) (log (* b1 b2)))

prune296.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube associate-*r* associate-*l* add-exp-log
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 53
Calls
1 calls:
Slowest
28.0ms
(* (/ a1 b1) (/ a2 b2))

series48.0ms

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

simplify2.8s

Counts
47 → 56
Calls
47 calls:
Slowest
657.0ms
(* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2)))
317.0ms
(* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (/ (* (* a2 a2) a2) (* (* b2 b2) b2)))
223.0ms
(* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (/ (* (* a2 a2) a2) (* (* b2 b2) b2)))
194.0ms
(* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* (/ a2 b2) (/ a2 b2)) (/ a2 b2)))
180.0ms
(+ (- (log a1) (log b1)) (- (log a2) (log b2)))

prune611.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

4.4b
(* (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1)) (/ (cbrt a2) b2))
2.2b
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1))
0.6b
(cbrt a2)
0.6b
(cbrt a2)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
138×add-exp-log
71×add-cbrt-cube
64×prod-exp
50×div-exp
41×add-sqr-sqrt
38×cbrt-unprod
37×times-frac
30×*-un-lft-identity
29×associate-*r*
28×cbrt-undiv add-cube-cbrt
15×cbrt-prod
14×associate-*l*
12×1-exp
11×pow1
6×frac-times associate-*l/ unswap-sqr
4×expm1-log1p-u pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 164
Calls
4 calls:
Slowest
93.0ms
(* (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1)) (/ (cbrt a2) b2))
25.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1))
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)

series755.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
261.0ms
(cbrt a2)
254.0ms
(cbrt a2)
157.0ms
(* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1))
83.0ms
(* (* (/ a1 b1) (/ (* (cbrt a2) (cbrt a2)) 1)) (/ (cbrt a2) b2))

simplify23.1s

Counts
138 → 176
Calls
138 calls:
Slowest
939.0ms
(* (* (* (/ a1 b1) (/ a1 b1)) (/ a1 b1)) (/ (* (* (* (cbrt a2) (cbrt a2)) (* (cbrt a2) (cbrt a2))) (* (cbrt a2) (cbrt a2))) (* (* 1 1) 1)))
794.0ms
(+ (+ (- (log a1) (log b1)) (- (log (* (cbrt a2) (cbrt a2))) 0)) (log (/ (cbrt a2) b2)))
659.0ms
(+ (+ (- (log a1) (log b1)) (- (log (* (cbrt a2) (cbrt a2))) 0)) (- (log (cbrt a2)) (log b2)))
646.0ms
(+ (+ (- (log a1) (log b1)) (- (+ (log (cbrt a2)) (log (cbrt a2))) 0)) (- (log (cbrt a2)) (log b2)))
589.0ms
(* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (/ (* a2 a2) (* (* 1 1) 1)))

prune2.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

5.4b
(* (* (/ a1 b1) a2) (/ 1 b2))
3.2b
(* (/ a1 b1) a2)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
22×add-sqr-sqrt prod-exp
19×times-frac
17×*-un-lft-identity add-cube-cbrt
16×associate-*r*
14×associate-*l*
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv
4×pow-prod-down associate-*l/
3×rec-exp 1-exp
2×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times associate-*r/ un-div-inv
Counts
2 → 84
Calls
2 calls:
Slowest
52.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))
18.0ms
(* (/ a1 b1) a2)

series77.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
41.0ms
(* (/ a1 b1) a2)
35.0ms
(* (* (/ a1 b1) a2) (/ 1 b2))

simplify8.9s

Counts
66 → 90
Calls
66 calls:
Slowest
665.0ms
(+ (log (* (/ a1 b1) a2)) (- (log 1) (log b2)))
497.0ms
(+ (log (* (/ a1 b1) a2)) (- 0 (log b2)))
478.0ms
(* (* (/ (* (* a1 a1) a1) (* (* b1 b1) b1)) (* (* a2 a2) a2)) (/ (* (* 1 1) 1) (* (* b2 b2) b2)))
467.0ms
(+ (+ (log (/ a1 b1)) (log a2)) (log (/ 1 b2)))
464.0ms
(+ (log (* (/ a1 b1) a2)) (log (/ 1 b2)))

prune918.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes778.0ms

Accuracy

51.3% (5.0b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 10.3b

bsearch13.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
920.0ms9931×body80valid