Details

Time bar (total: 16.8s)

sample326.0ms

Algorithm
intervals
Results
222.0ms118×body2560valid
64.0ms78×body1280valid
12.0ms28×body640valid
7.0ms24×body320valid
5.0ms256×pre80true
1.0msbody160valid
0.0msbody80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
18
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.2b

localize11.0ms

Local error

Found 1 expressions with local error:

2.4b
(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
262×times-frac
211×add-sqr-sqrt
207×*-un-lft-identity
199×add-cube-cbrt
182×prod-diff
30×div-inv
13×fma-neg tan-quot associate-/r/
distribute-lft-out--
difference-of-squares
add-log-exp
expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log frac-sub log1p-expm1-u flip--
Counts
1 → 219
Calls
1 calls:
86.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

series145.0ms

Counts
1 → 3
Calls
1 calls:
145.0ms
(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.9s

Counts
222 → 222
Iterations
IterNodes
done5001
22359
1788
0346

prune812.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* x x) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
pow-plus add-cbrt-cube add-exp-log pow-prod-up
add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
pow2 *-un-lft-identity pow-sqr add-cube-cbrt
expm1-log1p-u associate-*l* pow3 *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
14.0ms
(* (* x x) x)

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (* x x) x)

simplify595.0ms

Counts
33 → 33
Iterations
IterNodes
done5001
2661
199
036

prune96.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.3b

simplify2.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample12.8s

Algorithm
intervals
Results
7.8s3313×body2560valid
3.4s2492×body1280valid
755.0ms1226×body640valid
215.0ms8000×pre80true
209.0ms611×body320valid
125.0ms304×body160valid
6.0ms54×body80valid