Details

Time bar (total: 36.2s)

sample51.0ms

Algorithm
intervals
Results
31.0ms334×body80valid

simplify73.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
73.0ms
(/ (* a1 a2) (* b1 b2))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize18.0ms

Local error

Found 1 expressions with local error:

11.8b
(/ (* a1 a2) (* b1 b2))

rewrite23.0ms

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
22.0ms
(/ (* a1 a2) (* b1 b2))

series50.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
50.0ms
(/ (* a1 a2) (* b1 b2))

simplify3.5s

Counts
13 → 27
Calls
13 calls:
Slowest
885.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
725.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b2) (* b1 b2)) (* b1 b2)))
708.0ms
(/ (* (* (* a1 a2) (* a1 a2)) (* a1 a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
489.0ms
(/ (* (* (* a1 a1) a1) (* (* a2 a2) a2)) (* (* (* b1 b1) b1) (* (* b2 b2) b2)))
140.0ms
(- (+ (log a1) (log a2)) (+ (log b1) (log b2)))

prune261.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

6.4b
(/ (* b1 b2) a2)
5.5b
(/ a1 (/ (* b1 b2) a2))

rewrite17.0ms

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
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
2×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 75
Calls
2 calls:
Slowest
9.0ms
(/ (* b1 b2) a2)
7.0ms
(/ a1 (/ (* b1 b2) a2))

series83.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
45.0ms
(/ a1 (/ (* b1 b2) a2))
38.0ms
(/ (* b1 b2) a2)

simplify3.6s

Counts
75 → 81
Calls
75 calls:
Slowest
349.0ms
(/ (* (* a1 a1) a1) (/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* a2 a2) a2)))
315.0ms
(/ (* (* a1 a1) a1) (/ (* (* (* b1 b1) b1) (* (* b2 b2) b2)) (* (* a2 a2) a2)))
253.0ms
(- (log a1) (- (log (* b1 b2)) (log a2)))
216.0ms
(- (log a1) (- (+ (log b1) (log b2)) (log a2)))
210.0ms
(/ (* (* (* b1 b2) (* b1 b2)) (* b1 b2)) (* (* a2 a2) a2))

prune851.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

6.4b
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))
1.7b
(/ a1 (/ b2 (cbrt a2)))
0.7b
(cbrt a2)
0.7b
(cbrt a2)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
171×add-sqr-sqrt
145×*-un-lft-identity add-cube-cbrt
71×cbrt-prod associate-*r*
45×add-exp-log
35×add-cbrt-cube
22×associate-/r*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×pow1/3 associate-/r/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 256
Calls
4 calls:
Slowest
56.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))
12.0ms
(/ a1 (/ b2 (cbrt a2)))
1.0ms
(cbrt a2)
1.0ms
(cbrt a2)

series791.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
289.0ms
(cbrt a2)
279.0ms
(cbrt a2)
119.0ms
(/ a1 (/ b2 (cbrt a2)))
104.0ms
(* (/ (* (cbrt a2) (cbrt a2)) b1) (/ a1 (/ b2 (cbrt a2))))

simplify18.0s

Counts
295 → 268
Calls
295 calls:
Slowest
560.0ms
(* (/ (* (* (* (cbrt a2) (cbrt a2)) (* (cbrt a2) (cbrt a2))) (* (cbrt a2) (cbrt a2))) (* (* b1 b1) b1)) (/ (* (* a1 a1) a1) (* (* (/ b2 (cbrt a2)) (/ b2 (cbrt a2))) (/ b2 (cbrt a2)))))
504.0ms
(* (/ (* a1 (cbrt -1)) b2) (pow (* a2 -1) 1/3))
500.0ms
(/ (* (cbrt a1) (cbrt a1)) (/ (* (cbrt b2) (cbrt b2)) (* (cbrt (cbrt a2)) (cbrt (cbrt a2)))))
440.0ms
(+ (- (log (* (cbrt a2) (cbrt a2))) (log b1)) (log (/ a1 (/ b2 (cbrt a2)))))
422.0ms
(* (/ (cbrt a2) (sqrt b1)) (/ (sqrt a1) (/ (sqrt b2) (sqrt (cbrt a2)))))

prune3.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

5.5b
(* (/ a1 b2) a2)
4.4b
(/ (* (/ a1 b2) a2) b1)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*l*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-/r* associate-*r*
2×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 62
Calls
2 calls:
Slowest
25.0ms
(* (/ a1 b2) a2)
20.0ms
(/ (* (/ a1 b2) a2) b1)

series64.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
40.0ms
(/ (* (/ a1 b2) a2) b1)
24.0ms
(* (/ a1 b2) a2)

simplify2.7s

Counts
45 → 68
Calls
45 calls:
Slowest
419.0ms
(/ (/ a1 b2) (* (cbrt b1) (cbrt b1)))
280.0ms
(- (+ (- (log a1) (log b2)) (log a2)) (log b1))
270.0ms
(/ (* (* (* (/ a1 b2) a2) (* (/ a1 b2) a2)) (* (/ a1 b2) a2)) (* (* b1 b1) b1))
258.0ms
(/ (* (/ (* (* a1 a1) a1) (* (* b2 b2) b2)) (* (* a2 a2) a2)) (* (* b1 b1) b1))
230.0ms
(* (* (* (/ a1 b2) (/ a1 b2)) (/ a1 b2)) (* (* a2 a2) a2))

prune725.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes632.0ms

Accuracy

73.7% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 10.0b

bsearch16.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
790.0ms10017×body80valid