Details

Time bar (total: 1.8s)

sample243.0ms

Algorithm
intervals
Results
105.0ms105×body2560valid
54.0ms65×body10240exit
45.0ms97×body1280valid
10.0ms321×pre80true
8.0ms30×body640valid
2.0ms11×body320valid
1.0ms10×body80valid
0.0msbody160valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01724
14024
210124
325324
472224
5333724
done500024

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.2b
(- (exp (* b eps)) 1.0)
3.2b
(- (exp (* a eps)) 1.0)
4.4b
(- (exp (* (+ a b) eps)) 1.0)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
49×*-un-lft-identity
45×prod-diff
39×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
10×add-log-exp
flip3-- fma-neg flip--
pow1 add-exp-log add-cbrt-cube
sub-neg associate-*r* associate-*l* distribute-lft-out-- difference-of-squares
expm1-log1p-u frac-times log1p-expm1-u
diff-log
associate-*r/ associate-*l/
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 138
Calls
4 calls:
31.0ms
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
5.0ms
(- (exp (* b eps)) 1.0)
5.0ms
(- (exp (* a eps)) 1.0)
5.0ms
(- (exp (* (+ a b) eps)) 1.0)

series170.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
32.0ms
(- (exp (* b eps)) 1.0)
40.0ms
(- (exp (* a eps)) 1.0)
49.0ms
(- (exp (* (+ a b) eps)) 1.0)

simplify46.0ms

Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
02213064