Details

Time bar (total: 37.0s)

sample120.0ms

Algorithm
intervals
Results
90.0ms127×body10240exit
15.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
9.0ms
(/ (exp a) (+ (exp a) (exp b)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×fma-def add-exp-log associate-/l*
2×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 54
Calls
2 calls:
Slowest
31.0ms
(/ (exp a) (+ (exp a) (exp b)))
16.0ms
(+ (exp a) (exp b))

series93.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
59.0ms
(/ (exp a) (+ (exp a) (exp b)))
34.0ms
(+ (exp a) (exp b))

simplify2.6s

Counts
71 → 60
Calls
71 calls:
Slowest
439.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
361.0ms
(* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b)))
342.0ms
(* (* (/ (exp a) (+ (exp a) (exp b))) (/ (exp a) (+ (exp a) (exp b)))) (/ (exp a) (+ (exp a) (exp b))))
318.0ms
(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
174.0ms
(/ (exp a) (- (* (exp a) (exp a)) (* (exp b) (exp b))))

prune605.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize14.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ (exp a) (+ (exp b) (exp a)))
0.0b
(+ (exp b) (exp a))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt times-frac add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×fma-def add-exp-log associate-/l*
2×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 54
Calls
2 calls:
Slowest
31.0ms
(/ (exp a) (+ (exp b) (exp a)))
17.0ms
(+ (exp b) (exp a))

series64.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(/ (exp a) (+ (exp b) (exp a)))
21.0ms
(+ (exp b) (exp a))

simplify2.9s

Counts
71 → 60
Calls
71 calls:
Slowest
430.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a))))
402.0ms
(/ (exp a) (+ (pow (exp b) 3) (pow (exp a) 3)))
338.0ms
(* (* (/ (exp a) (+ (exp b) (exp a))) (/ (exp a) (+ (exp b) (exp a)))) (/ (exp a) (+ (exp b) (exp a))))
315.0ms
(* (* (+ (exp b) (exp a)) (+ (exp b) (exp a))) (+ (exp b) (exp a)))
194.0ms
(/ (exp a) (- (* (exp b) (exp b)) (* (exp a) (exp a))))

prune509.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize43.0ms

Local error

Found 4 expressions with local error:

4.6b
(- (* (exp a) (exp a)) (* (exp b) (exp a)))
1.5b
(* (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))
0.9b
(/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a))))
0.2b
(* (exp b) (exp a))

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
24×*-un-lft-identity
22×add-cube-cbrt
19×times-frac
16×associate-*l*
13×add-cbrt-cube
9×add-exp-log
8×pow1
6×associate-*r* add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* prod-exp cbrt-unprod associate-/l* unswap-sqr
2×frac-times cbrt-undiv exp-prod flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv
1×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-- distribute-rgt-out-- fma-neg diff-log prod-diff associate-*l/ pow-prod-up flip--
Counts
4 → 111
Calls
4 calls:
Slowest
214.0ms
(* (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))
34.0ms
(- (* (exp a) (exp a)) (* (exp b) (exp a)))
23.0ms
(* (exp b) (exp a))
6.0ms
(/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a))))

series448.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
236.0ms
(* (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))
104.0ms
(/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a))))
81.0ms
(- (* (exp a) (exp a)) (* (exp b) (exp a)))
27.0ms
(* (exp b) (exp a))

simplify23.0s

Counts
141 → 123
Calls
141 calls:
Slowest
935.0ms
(* (/ (* (* (exp a) (exp a)) (exp a)) (* (* (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a))) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a)))) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a))))) (* (* (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))))
749.0ms
(* (* (* (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a)))) (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a))))) (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a))))) (* (* (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))))
690.0ms
(exp (- (* (exp a) (exp a)) (* (exp b) (exp a))))
645.0ms
(* (* (* (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))) (* (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a)))))) (* (/ (exp a) (fma (exp b) (* (exp b) (exp b)) (exp (+ (+ a a) a)))) (+ (* (exp b) (exp b)) (- (* (exp a) (exp a)) (* (exp b) (exp a))))))
524.0ms
(* (* (- (* (exp a) (exp a)) (* (exp b) (exp a))) (- (* (exp a) (exp a)) (* (exp b) (exp a)))) (- (* (exp a) (exp a)) (* (exp b) (exp a))))

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.9b

regimes195.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample4.4s

Algorithm
intervals
Results
3.0s3522×body10240exit
1.1s8000×body80valid