Details

Time bar (total: 14.4s)

sample92.0ms

Algorithm
intervals
Results
68.0ms110×body10240exit
13.0ms256×body80valid

simplify9.0ms

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: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite27.0ms

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
Calls
2 calls:
Slowest
18.0ms
(+ (exp a) (exp b))
8.0ms
(/ (exp a) (+ (exp a) (exp b)))

series60.0ms

Calls
2 calls:
Slowest
35.0ms
(/ (exp a) (+ (exp a) (exp b)))
25.0ms
(+ (exp a) (exp b))

simplify1.1s

Calls
44 calls:
Slowest
402.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
115.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
107.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
69.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
32.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b))))

prune629.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.7b
(log (+ (exp a) (exp b)))
0.6b
(- a (log (+ (exp a) (exp b))))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
8×add-sqr-sqrt log-prod add-cube-cbrt
7×add-log-exp
6×log-div
5×pow1 add-exp-log
4×expm1-log1p-u flip3-+ add-cbrt-cube exp-sum flip-+ insert-posit16 log1p-expm1-u associate--r+ associate--r-
3×exp-prod fma-def distribute-lft-out
2×sub-neg
1×+-commutative sum-log flip3-- exp-diff rem-log-exp log-pow flip-- rem-exp-log
Calls
4 calls:
Slowest
9.0ms
(+ (exp a) (exp b))
6.0ms
(log (+ (exp a) (exp b)))
5.0ms
(- a (log (+ (exp a) (exp b))))
4.0ms
(exp (- a (log (+ (exp a) (exp b)))))

series186.0ms

Calls
4 calls:
Slowest
71.0ms
(exp (- a (log (+ (exp a) (exp b)))))
50.0ms
(log (+ (exp a) (exp b)))
39.0ms
(- a (log (+ (exp a) (exp b))))
26.0ms
(+ (exp a) (exp b))

simplify1.6s

Calls
38 calls:
Slowest
390.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
281.0ms
(exp (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))))
165.0ms
(log (- (* (exp a) (exp a)) (* (exp b) (exp b))))
161.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
108.0ms
(- (* 1/2 a) (+ (* 1/2 b) (log 2)))

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

6.0b
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
3.4b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
0.3b
(/ (exp a) (fma (exp a) (* (exp a) (exp a)) (exp (+ b (+ b b)))))
0.0b
(* (exp a) (exp a))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×pow1
9×times-frac
8×add-cbrt-cube
6×add-exp-log add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×log-prod associate-/r* associate-*r* associate-*l* associate-/l*
2×log-div
1×pow2 cbrt-undiv clear-num sub-neg frac-2neg flip3-+ pow-plus flip3-- distribute-rgt-out-- fma-neg diff-log div-exp rem-log-exp prod-diff pow-prod-down prod-exp log-pow *-commutative pow-prod-up cbrt-unprod flip-+ div-inv flip--
Calls
4 calls:
Slowest
21.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
14.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
8.0ms
(* (exp a) (exp a))
7.0ms
(/ (exp a) (fma (exp a) (* (exp a) (exp a)) (exp (+ b (+ b b)))))

series308.0ms

Calls
4 calls:
Slowest
171.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
66.0ms
(/ (exp a) (fma (exp a) (* (exp a) (exp a)) (exp (+ b (+ b b)))))
58.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
13.0ms
(* (exp a) (exp a))

simplify3.6s

Calls
60 calls:
Slowest
410.0ms
(log (+ (pow (* (exp a) (exp a)) 3) (pow (- (* (exp b) (exp b)) (* (exp a) (exp b))) 3)))
368.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (fma (exp a) (* (exp a) (exp a)) (exp (+ b (+ b b)))) (fma (exp a) (* (exp a) (exp a)) (exp (+ b (+ b b))))) (fma (exp a) (* (exp a) (exp a)) (exp (+ b (+ b b))))))
306.0ms
(log (- (* (* (exp a) (exp a)) (* (exp a) (exp a))) (* (- (* (exp b) (exp b)) (* (exp a) (exp b))) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))
170.0ms
(log (* (cbrt (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))) (cbrt (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
169.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.8s3435×body10240exit
994.0ms8000×body80valid