Details

Time bar (total: 45.5s)

sample127.0ms

Algorithm
intervals
Results
94.0ms91×body10240exit
19.0ms256×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: 0.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (exp a) (+ (exp a) (exp b)))
0.0b
(+ (exp a) (exp b))

rewrite34.0ms

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
17.0ms
(+ (exp a) (exp b))
16.0ms
(/ (exp a) (+ (exp a) (exp b)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
70.0ms
(/ (exp a) (+ (exp a) (exp b)))
26.0ms
(+ (exp a) (exp b))

simplify1.1s

Counts
44 → 60
Calls
44 calls:
Slowest
425.0ms
(/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b))))
136.0ms
(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
87.0ms
(- (+ (* 1/4 a) 1/2) (* 1/4 b))
72.0ms
(/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))
25.0ms
(/ (sqrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

prune559.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

4.0b
(log (+ (exp a) (exp b)))
2.0b
(- a (log (+ (exp a) (exp b))))
0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
24×prod-diff
23×add-cube-cbrt
16×exp-sum
13×pow1
9×log-pow add-log-exp
8×log-prod
6×log-div exp-prod
5×add-exp-log
4×expm1-log1p-u flip3-+ add-cbrt-cube flip-+ insert-posit16 log1p-expm1-u associate--r+ distribute-lft-out-- associate--r-
3×fma-def fma-neg distribute-lft-out
2×sub-neg diff-log difference-of-squares rem-exp-log
1×+-commutative sum-log flip3-- exp-diff rem-log-exp flip--
Counts
4 → 110
Calls
4 calls:
Slowest
16.0ms
(exp (- a (log (+ (exp a) (exp b)))))
13.0ms
(log (+ (exp a) (exp b)))
11.0ms
(- a (log (+ (exp a) (exp b))))
9.0ms
(+ (exp a) (exp b))

series214.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
80.0ms
(exp (- a (log (+ (exp a) (exp b)))))
58.0ms
(log (+ (exp a) (exp b)))
43.0ms
(- a (log (+ (exp a) (exp b))))
34.0ms
(+ (exp a) (exp b))

simplify7.2s

Counts
85 → 122
Calls
85 calls:
Slowest
657.0ms
(exp (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))))
434.0ms
(exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))))
373.0ms
(- (+ (exp (- (log 2))) (* 1/2 (* a (exp (- (log 2)))))) (* 1/2 (* (exp (- (log 2))) b)))
354.0ms
(exp (fma 1 a (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))))
345.0ms
(exp (fma (sqrt a) (sqrt a) (- (* (cbrt (log (+ (exp a) (exp b)))) (* (cbrt (log (+ (exp a) (exp b)))) (cbrt (log (+ (exp a) (exp b)))))))))

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (- (* 1/2 (- a b)) (log 2)))
0.0b
(- (* 1/2 (- a b)) (log 2))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
44×prod-diff associate--l+
30×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
28×exp-sum
22×distribute-rgt-in distribute-lft-in
6×sub-neg
5×add-log-exp
4×pow1
3×log-prod exp-prod associate--r+
2×expm1-log1p-u add-cbrt-cube diff-log add-exp-log log-pow insert-posit16 log1p-expm1-u rem-exp-log
1×flip3-- exp-diff fma-neg flip--
Counts
2 → 89
Calls
2 calls:
Slowest
56.0ms
(exp (- (* 1/2 (- a b)) (log 2)))
24.0ms
(- (* 1/2 (- a b)) (log 2))

series98.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
57.0ms
(exp (- (* 1/2 (- a b)) (log 2)))
41.0ms
(- (* 1/2 (- a b)) (log 2))

simplify10.2s

Counts
74 → 95
Calls
74 calls:
Slowest
421.0ms
(exp (* 1/2 (fma 1 a (- (* (cbrt b) (* (cbrt b) (cbrt b)))))))
363.0ms
(exp (* (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* b 1))) 1/2))
361.0ms
(exp (* 1/2 (fma (sqrt a) (sqrt a) (- (* (cbrt b) (* (cbrt b) (cbrt b)))))))
341.0ms
(exp (* (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (sqrt b) (sqrt b)))) 1/2))
338.0ms
(exp (* 1/2 (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* b 1)))))

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize48.0ms

Local error

Found 4 expressions with local error:

8.7b
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
4.5b
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
0.8b
(* (/ (exp a) (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b))))) (exp (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
0.7b
(/ (exp a) (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b)))))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
20×times-frac
13×associate-*l*
11×add-cbrt-cube
8×log-prod add-exp-log
7×pow1
6×log-div associate-*r* add-log-exp
5×exp-sum
4×expm1-log1p-u exp-diff insert-posit16 log1p-expm1-u unswap-sqr
3×associate-/r* flip3-+ flip-+ associate-/l*
2×frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod div-inv
1×clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- fma-neg diff-log rem-log-exp prod-diff pow-prod-down associate-*l/ log-pow *-commutative flip--
Counts
4 → 109
Calls
4 calls:
Slowest
214.0ms
(* (/ (exp a) (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b))))) (exp (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
30.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
13.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))
11.0ms
(/ (exp a) (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b)))))

series480.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
200.0ms
(* (/ (exp a) (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b))))) (exp (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))
134.0ms
(log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
88.0ms
(/ (exp a) (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b)))))
57.0ms
(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify16.0s

Counts
87 → 121
Calls
87 calls:
Slowest
686.0ms
(log (+ (pow (* (exp a) (exp a)) 3) (pow (- (* (exp b) (exp b)) (* (exp a) (exp b))) 3)))
598.0ms
(* (/ (* (* (exp a) (exp a)) (exp a)) (* (* (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b)))) (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b))))) (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b)))))) (* (* (exp (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))) (exp (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))) (exp (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))))
546.0ms
(* (exp a) (exp (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))))))))
535.0ms
(/ 1 (* (cbrt (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b))))) (cbrt (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b)))))))
377.0ms
(* (fma (exp a) (* (exp a) (exp a)) (* (exp b) (* (exp b) (exp b)))) (exp (log (- (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))))

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes211.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample4.4s

Algorithm
intervals
Results
3.5s3511×body10240exit
679.0ms8000×body80valid