Details

Time bar (total: 11.3s)

sample108.0ms

Algorithm
intervals
Results
79.0ms118×body10240exit
12.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
done78

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log fma-def associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
33.0ms
(+ (exp a) (exp b))
23.0ms
(/ (exp a) (+ (exp a) (exp b)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (exp a) (exp b))
44.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify3.4s

Counts
58 → 58
Iterations

Useful iterations: 4 (797.0ms)

IterNodesCost
082646
1172616
2403576
3798575
42080574
done5000574

prune203.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

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)))

rewrite98.0ms

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-+ log1p-expm1-u associate--r+ distribute-lft-out-- associate--r-
3×fma-def fma-neg 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 → 106
Calls
4 calls:
21.0ms
(exp (- a (log (+ (exp a) (exp b)))))
19.0ms
(+ (exp a) (exp b))
31.0ms
(- a (log (+ (exp a) (exp b))))
23.0ms
(log (+ (exp a) (exp b)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(exp (- a (log (+ (exp a) (exp b)))))
31.0ms
(+ (exp a) (exp b))
37.0ms
(- a (log (+ (exp a) (exp b))))
63.0ms
(log (+ (exp a) (exp b)))

simplify3.3s

Counts
118 → 118
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01492147
13101610
26921278
318511056
done50001030

prune413.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-log-exp
3×add-exp-log fma-def associate-/l*
2×pow1 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
22.0ms
(+ (exp a) (exp b))
29.0ms
(/ (exp a) (+ (exp a) (exp b)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (exp a) (exp b))
68.0ms
(/ (exp a) (+ (exp a) (exp b)))

simplify3.1s

Counts
58 → 58
Iterations

Useful iterations: 4 (837.0ms)

IterNodesCost
082646
1172616
2403576
3798575
42080574
done5000574

prune149.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize12.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes1.0ms