Details

Time bar (total: 8.8s)

sample104.0ms

Algorithm
intervals
Results
77.0ms118×body10240exit
13.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
done78

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp a) (exp b))
0.5b
(/ (exp a) (+ (exp a) (exp b)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
22.0ms
(+ (exp a) (exp b))
41.0ms
(/ (exp a) (+ (exp a) (exp b)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (exp a) (exp b))
52.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify2.6s

Counts
51 → 51
Iterations

Useful iterations: 3 (226.0ms)

IterNodesCost
078616
1164587
2382548
3730546
41872546
done5000546

prune171.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (- a (log (+ (exp a) (exp b)))))
0.0b
(+ (exp a) (exp b))
2.1b
(- a (log (+ (exp a) (exp b))))
4.5b
(log (+ (exp a) (exp b)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
11×add-sqr-sqrt
9×add-log-exp
8×log-prod
7×pow1 add-cube-cbrt
6×log-div exp-prod
5×add-exp-log
4×flip3-+ exp-sum add-cbrt-cube flip-+ associate--r+ distribute-lft-out-- associate--r-
3×log-pow distribute-lft-out
2×sub-neg diff-log rem-exp-log difference-of-squares
1×+-commutative flip3-- exp-diff rem-log-exp sum-log flip--
Counts
4 → 68
Calls
4 calls:
39.0ms
(exp (- a (log (+ (exp a) (exp b)))))
22.0ms
(+ (exp a) (exp b))
29.0ms
(- a (log (+ (exp a) (exp b))))
9.0ms
(log (+ (exp a) (exp b)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(exp (- a (log (+ (exp a) (exp b)))))
30.0ms
(+ (exp a) (exp b))
57.0ms
(- a (log (+ (exp a) (exp b))))
50.0ms
(log (+ (exp a) (exp b)))

simplify2.2s

Counts
80 → 80
Iterations

Useful iterations: 3 (346.0ms)

IterNodesCost
0107890
1234819
2480746
3934742
42098742
done5000742

prune357.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp b) (exp a))
0.5b
(/ (exp a) (+ (exp b) (exp a)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
11.0ms
(+ (exp b) (exp a))
29.0ms
(/ (exp a) (+ (exp b) (exp a)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (exp b) (exp a))
62.0ms
(/ (exp a) (+ (exp b) (exp a)))

simplify2.6s

Counts
51 → 51
Iterations

Useful iterations: 3 (247.0ms)

IterNodesCost
076616
1164587
2383548
3737546
41893546
done5001546

prune135.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes0.0ms